diff --git "a/data/dm_maths/full_data/10821_11255.jsonl" "b/data/dm_maths/full_data/10821_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10821_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Three letters picked without replacement from {m: 1, y: 10, r: 7}. Give prob of picking 3 r.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, j: 13}. What is prob of picking 2 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-20 - 0 - (8 + 12 + -36)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45139.9 - 0.25\nAnswer: -45140.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 22 - (5 + 0))\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f9 + 5?\nAnswer: fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**4\/4 - 11*o**3\/6 + 5*o**2\/2 - 6. Let w(i) be the second derivative of a(i). Is 11 a factor of w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13296220849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 16*z - 88 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5453 and -1.9581?\nAnswer: 5451.0419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 551721 - 18?\nAnswer: 551703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924159123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38323*-0.1.\nAnswer: -3832.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = 0, -4*n + p + 4*p + 16 = 0. What are the prime factors of 1115\/20 + n\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3\/3 + 123*m**2 - m\/3 - 123 = 0.\nAnswer: -369, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76986948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -76*q - 443. Let m be x(-6). Let w(l) = l**2 - 15*l + 46. Let g be w(m). Solve 4*p = 2*k - 20, k = -4*p - 2*k - g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (-1*-1*sqrt(104) - sqrt(104)))\/(sqrt(24)\/sqrt(75) + sqrt(8)) - 6*(3 + sqrt(117)\/sqrt(225))**2.\nAnswer: -1428\/25 - 191*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46112*v - 18 + 18 + 46149*v.\nAnswer: 37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 165*p**2 + 165*p**2 - p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:08 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(6)*-1 + sqrt(6)) + (sqrt(48)\/(2*sqrt(8)) - sqrt(6)))*-4)\/((sqrt(54)\/(sqrt(9)*-2 - sqrt(9)))\/(-2*sqrt(2)*-1 - sqrt(2))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((sqrt(12)\/sqrt(4) + sqrt(3))*-2) + (sqrt(3840) + (sqrt(3840) - sqrt(3840)*-3) + sqrt(3840))\/sqrt(12).\nAnswer: 191*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13342 + -1829. What are the prime factors of v?\nAnswer: 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xep when three letters picked without replacement from deyypqex.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60467, 60444, 60405, 60350, 60279, 60192, 60089?\nAnswer: 59970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 277, 562, 1031, 1678, 2497?\n\"Answer: -f**3 + 98*f**2 - 2*f + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 3 (c) 9 (d) 4 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5200 bigger than -2947\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in -2\/5, -2\/7, 5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115195.3 years to months.\nAnswer: 1382343.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 15 = 0, -11*s + 9*s = 3*m + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 11*d**2 + 11*d - 9. Let u be q(-12). Let p(k) = k**3 + 4*k**2 + 8*k + 5. Let y be p(-4). Sort -3, y, u, 5.\nAnswer: y, -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21113 (base 5) to base 13.\nAnswer: -844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2*d = 23, -4*d = 5*k + 10 + 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((9\/(-66))\/(-1)). Let y = -19 - w. Suppose -4*f = -3*r + 16 + 186, 0 = -4*r + y*f + 267. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.46? (a) 4\/9 (b) -2\/17 (c) -25 (d) 8 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.9 in 4.19, 2\/13, -7, 0.4?\nAnswer: 4.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (0 - 2) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 18 = x, -3*x - 3*x + 66 = 15*z - 6*x - 3*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*l + 62*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928808.8 millilitres to litres.\nAnswer: 928.8088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.114*-0.2.\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11022107 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*a - 1 - 7 = 0, 2*r = -a - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*m + 93, -90 = 2*l - 4*l + 5*m. Let n = l - 34. Put 0, n, -1 in decreasing order.\nAnswer: n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from mmvmqqqqqqqqqqq.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/60 + x**4\/24 - 2*x**3\/3 - 3*x**2. Give m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:56 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1162652*u**2 - 190844.\nAnswer: -2325304*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/6)\/((-2)\/6). Let l be 3 - -5*(-2 + v) - -10. Suppose 2*g - l = g. Let j(h) = h**3 - 8*h**2 - h + 11. What is j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 d when three letters picked without replacement from dbghbghhbdmmrdgh?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 255, 108, -275, -1008, -2205?\n\"Answer: -19*o**3 - 4*o**2 - 2*o + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -737085030.798 - 4\nAnswer: -737085034.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -154286, -0.07.\nAnswer: -154286, -3, -0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2329 and 3176071.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/((-14)\/2758). Let b = -131 + n. Which is smaller: -68 or b?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 - 4*n**2)*(0*n - 2*n - 4*n).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1998543.\nAnswer: 3, 61, 67, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 2*d**4 + 3*d**4 + (d**3 - 3*d**3 + 4*d**3)*(5 - 5 + d) + 8*d**4 + d**4 - 4*d**4 + 2*d**4 + 0*d**2 + 0*d**2.\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2. Let y(r) be the third derivative of -r**5\/120 + r**3\/6 + 4*r**2. Let f(n) be the first derivative of y(n). Determine f(j(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 664.\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439998 is divided by 160.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -23, 4, 53, 130?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3174 and 85\/4232.\nAnswer: 12696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 31*u**2 + 20*u + 33. Calculate h(-14).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84232 + -26.6.\nAnswer: 84205.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 22 - 526. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10481 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -40333864 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4079176.\nAnswer: 2, 37, 13781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77361 - 16?\nAnswer: 77347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 10, 5 in descending order.\nAnswer: 10, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/(-27) - (-5)\/((-90)\/(-4)). Let n be -1 + ((-2)\/(-1) - (-404 + s)). Let l = -270 + n. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-66)\/(-36))\/11)\/(154\/(-88))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65\/12 - -17\/3. Which is the closest to -0.1? (a) k (b) 2 (c) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q**3 + 27*q**3 + 44*q**3 - 144*q**3.\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*t - 20, 0*r + 4*r - 4*t + 36 = 0. Let g(q) = q - 1. Let c(s) = -7*s + 11. Let v(n) = c(n) + 6*g(n). List the prime factors of v(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1662 + 1675. Suppose -4*m + 10 = -6. Sort 5, m, g in ascending order.\nAnswer: m, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2 + u + 0*u - 3 + 6. Let o be d(-1). Find the third derivative of o*p**5 - 5*p**5 + p**5 + 6*p**2 - p**2 wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318*x**2 - 172*x**2 - 71*x**2 - 73*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, n: 6, h: 3}. Give prob of sequence nshs.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t + 10*t**2 + 4*t - 10*t**4 - 3*t**5 - 2*t**5 - 4*t.\nAnswer: -5*t*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2430460*p**4 + 526226*p wrt p.\nAnswer: 29165520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**7\/210 + l**5\/120 - l**4\/24 - 7*l**3\/3 - l**2 - 22. Let h(j) be the third derivative of k(j). Determine h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6150630 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 110?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 2361*m - 333746. Calculate g(-151).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:39 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 251 = 4*a, 0 = 4*a + y - 6*y - 211. Calculate the greatest common divisor of 413 and a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 24 (b) 1\/8 (c) 5 (d) 4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*k + k. What is the remainder when 45 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 110*m - 7140 = -12*m for m.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3)*((n\/n**(-7))\/n)\/n)\/(n**0\/n)**(-26) assuming n is positive.\nAnswer: n**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-115)*(-20075)\/(-876)*(-4)\/10?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -200676*m**3 + 18854*m**2 + 13*m wrt m?\nAnswer: -1204056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 84429 = -25699. Suppose 5*k + 5*k = n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-87)\/10 - (2 + 0) and -3 - (0 - ((-9)\/(-1) - 1790\/450)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77445 is divided by 2493?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 2 + ((-6)\/(-2) - 2). Let j(u) be the first derivative of u**2\/2 + 8*u + 1. Is 6 a factor of j(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2\/5, 484749, 4 in ascending order.\nAnswer: -2\/5, 4, 15, 484749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**5\/15 + 31*n**4\/6 - 64*n**3\/3 + n**2 - 22. Let d(y) be the second derivative of j(y). Find m, given that d(m) = 0.\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.52 - -18.52. What is the fourth smallest value in 1\/9, -2\/7, -20, o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*m = -28*m + 14*m + 2875. Solve 84 = m*a - 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o. Let s(q) = 8*q**2 + 6*q - 4. Let f(p) = -23*p**2 - 17*p + 11. Let k(l) = -6*f(l) - 17*s(l). Determine c(k(a)).\nAnswer: 8*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111 - 10110100?\nAnswer: -100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194864.\nAnswer: 2, 19, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5149.\nAnswer: 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i = -7026 + 5362 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496252 to the power of 1\/2, to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/2544499 and -35\/7097813.\nAnswer: 134858447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, 2\/5, 1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*f - 8 = 3, -5*s + 77 = 2*f. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7619*w + 2 - 6692*w + 2227*w.\nAnswer: -12084*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*b - 3*m, -m - 2*m = 3*b - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.902 rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.5 (b) 1\/28 (c) 2 (d) -1 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -688.1 times -219?\nAnswer: 150693.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/7 + 2522936*x**3\/7 - 3*x**2\/7 - 1081258*x + 5045872\/7 = 0. Calculate x.\nAnswer: -2522936, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 7:58 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 11 + 7. What are the prime factors of 4\/6 + 176\/p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386 = 5*q + 376 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(1 + 2*s - 1) - 920*s + 42*s - 678*s in the form r*s + l and give r.\nAnswer: -1558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*y = -87*p + 91*p - 584, -3*p + 184 = -2*y + 6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 3:09 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/328*41*(-3)\/(9\/30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 7 - 8) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**3 - 934*b + 2864*b - 980*b - 949*b.\nAnswer: 12*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -720500 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -11.8. Let p = v - 6.778. What is p rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272.1 + 3.1. Let c = x - -141. Let j = -128.00000079 - c. What is j rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -141. Suppose -2*l = -4*x - 10, i*l - 42 = -4*l - 3*x. Let j(c) = -c**2 + 11*c - 10. What is j(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 0*o + 10*o = 0. Let u(l) be the second derivative of -140\/9*l**3 + 10*l + 245\/36*l**4 + o + 40\/3*l**2. Let u(w) = 0. What is w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3658 divide 332493067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3)\/((q**(-6)*q)\/q)*(q**1)**(-34))**(-2\/3))**22 assuming q is positive.\nAnswer: q**(3784\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - -4 - (-4 + 2). Suppose -q*v = v - t + 20, -20 = 4*t. Let h = v + 10. Solve g + 0 = h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttd when three letters picked without replacement from {d: 1, t: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 324003101 - -2?\nAnswer: 324003103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*i = 85*i + 486 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t = 75*t + 150. Let u = 10 - -97. Let m = u - t. What is the remainder when m is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 309099*c**2 - 52808*c. Let b(d) = 281*d**2 - 48*d. Let g(z) = 6601*b(z) - 6*n(z). Let w(i) = -8*i. Determine g(w(t)).\nAnswer: 18368*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or -1154\/9?\nAnswer: -1154\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8710.943ug in milligrams?\nAnswer: 8.710943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -14*l - 84 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-4)*2\/(-6))\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - 54 - (4 + -1 + -1 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2048 (base 11) to base 15\nAnswer: -c0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -2*v. Let a = -11 + 18. Let o be v\/(-15) + a\/5. What is the closest to o in 4, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 + -1.3. Let f = z - -2. Let g = -10.1 - -10. Which is the closest to -0.2? (a) 1\/2 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from {p: 5, v: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 + 2975288*w**2 + 5950560*w = 0. What is w?\nAnswer: -743820, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -9*z + 60. Suppose 2*g = s + 3, -g - 4*g = -s - z. Suppose -s*l + 4*l - 5 = 0, -4*f - 11 = l. Put -2, f, -3 in descending order.\nAnswer: -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7039*n + 8006*n + 28*n**3 + 144*n**2 - 101*n**2 - 129*n**2 wrt n.\nAnswer: 168*n - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51725189 - -28175189. What is c rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)\/c)**17\/(c**3\/c*c*c*c*c**(-4\/3)) assuming c is positive.\nAnswer: c**(-152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2013244442 + -10?\nAnswer: -2013300002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -1544 (c) -1\/4 (d) -2\/1319\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 495342013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -47. What is the tens digit of (3 - 2)*(1 - w)*79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -207 + 3?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 4*p**2 - 10*p + 25. Let r be f(5). Suppose -3*m + 0*y = -4*y - 170, r = -m + 3*y + 60. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u*u\/u**(-1\/4)))\/u))\/(((u**(6\/25)*u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(301\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-12)*(-3)\/(81\/18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1361, -2, 12, 5 in decreasing order.\nAnswer: 1361, 12, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/31, 118\/111, -3 in increasing order.\nAnswer: -3, -0.3, 2\/31, 118\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 488, -17, 5 in descending order.\nAnswer: 488, 5, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 375614 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: Simplify (-2*(sqrt(2916) - sqrt(2916)*2) + 6*2*sqrt(2916))\/(-3*3*sqrt(36)\/sqrt(3)*4).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 4488.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*m**2 - 21*m**4 + 2 + 19*m**2 + 22*m**4 + 6*m + (-1 + 0 + 0)*(-1 - m**4 + 1).\nAnswer: 2*m**4 + m**2 + 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 585 a factor of 637423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 254, 255, 256, 257, 258?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 8. Suppose -5*o - 10 = 0, 2*o + 31 = -5*l - 23. Let h be q(l). Factor 0*n**2 - 2*n**2 + 2 + n**2 + n - h*n.\nAnswer: -(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3*c)*(0 - 3 + 2)*(-3*c + 235281*c**2 - 193 + 3*c - 235280*c**2).\nAnswer: -3*c**3 + 579*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - d + 1. Let m be h(-4). Let o = -356 - -350. What is the remainder when 51 is divided by 18\/5*(o - m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2 + 5*h + 5. Let y = -3988 + 3986. Let d(i) = -i**2. Let l(s) = -4*s**2 - s - 1. Let u(g) = -11*d(g) + 2*l(g). Give y*v(q) - 5*u(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -9. Suppose -g*r + 10 = -r. Suppose 2*j - 35 = -r. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*l + 2183 = -746 + 865. What is the lowest common multiple of l and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w**3 - 249*w**2 + 249*w**2 + (-2 + 3 + 1)*(-2*w**3 - 2*w**3 + 5*w**3) - 2 + 2 + 2*w**3 to d*w**2 + v*w**3 + t + n*w and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {e: 2, z: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005549379 to 5 dps.\nAnswer: -0.00555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 20 = 5. Suppose 0 = -5*g + 25 - z. Let x(n) = -n**3 + 3*n**2 + 4*n + 5. Determine x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39106 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389167*j + 4 - 389165*j - 8.\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 5. Let l be m(-5). Suppose 0 = -l*j - 5*j. Suppose -2*p = -j*p - 22. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(7) - (0 + sqrt(252))) + (-1*sqrt(84)*4)\/sqrt(12).\nAnswer: -9*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -28*v**2 - 108*v + 136. Let j(k) = 9*k**2 + 36*k - 45. Let l(u) = 16*j(u) + 5*w(u). Factor l(s).\nAnswer: 4*(s - 1)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -549*k**4 + 673*k**2 - 1180*k**4 - 121*k**2 + 570*k**2 wrt k?\nAnswer: -41496*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*1\/(-8)*3. Let w = -0.01 + 0.31. Which is the second biggest value? (a) w (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 2, n: 1, d: 1}. What is prob of picking 1 q and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -33026?\nAnswer: 33022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 956870.6 litres in millilitres?\nAnswer: 956870600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**3\/6 - 115*t**2\/2 - 55*t + 340\/3 = 0.\nAnswer: -68, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 17. Suppose -3*u + 5*j + 36 = 0, 3*j = -u - 4 + 16. Calculate the smallest common multiple of n and (-2)\/(u\/(-61)) - (-3)\/(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8181 (base 12) in base 16?\nAnswer: -36f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -3*m + 4*g + 5, -5*g - 5 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 583806 (base 9) to base 16.\nAnswer: 5596e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + j - 2*j + 238 - 3*j.\nAnswer: -2*j + 238","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 7*o**2 + 5*o - 4. What is the least common multiple of r(-6) and 6\/(-8) + (-2532)\/(-48)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1\/8, -2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-2*(-1)\/(-24)*-2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s - 404311. Let y(m) = -2*m. Calculate y(x(f)).\nAnswer: -14*f + 808622","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.84 times 0.0015?\nAnswer: 0.52476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716473 is divided by 245196.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {w: 1, s: 1, g: 2, q: 1, x: 1, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9818 and 5.\nAnswer: -49090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824 is divided by 166?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p. Let s(z) be the third derivative of 2*z**5\/15 - 22*z**2. What is s(x(w))?\nAnswer: 200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1594153 rounded to 4 decimal places?\nAnswer: -0.1594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 137*s - 5909. What is y(30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 1. Let w(d) = 14*d + 3. Let k(h) = 11*u(h) - 4*w(h). Let r(t) = -t**2 - 2*t - 1. Let y(f) = 7*f - 113. Let s be y(16). Calculate s*r(x) + k(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100101010 - 101?\nAnswer: -1001100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.037 + -28.037. Let g = s - -28.4. Let j = 1 + -0.8. Which is the closest to -3? (a) j (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let u(l) = 7. Let o(k) = 3. Let i(s) = 10*o(s) - 4*u(s). Suppose 6*t + 21 = 3*t. Let h = 6 + t. Calculate h*i(v) - 2*m(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 23. Let g = m - -26. Let q = g + -11. What is the smallest common multiple of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 102 = -5*y. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2223*j = -313*j - 162350 for j.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52150 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or -88\/17?\nAnswer: -88\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 99.77432035?\nAnswer: -99.37432035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 14*v - 160428. Suppose 0 = -11*i + v + 29681. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 30*i**3 - 2*i**2 - 2*i + 2. Let s = -7299 + 7297. Let p(o) = -o**3 + o**2 + o - 1. Determine s*p(a) - c(a).\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 94198462 divided by 2?\nAnswer: 47099231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*d + 18. Suppose 2*r - 18 = r + y, 0 = -d*y - 8. What is the third derivative of -18*p**6 - r*p**6 + 21*p**2 + 41*p**6 wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Suppose 4*v + 5*o = -h*o + 13, v + 2 = 4*o. Factor 0 + 2\/7*u**v + 0*u + 2\/7*u**3.\nAnswer: 2*u**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 14252*a - 2 + 14265*a)*(-6 + 3*a**2 + 6) + a**3 - 2*a**2 + 2*a**2.\nAnswer: 40*a**3 + 87*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/(-24)*(-823)\/(251015\/4575)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82250 and 546770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/14 (b) 0.06 (c) 2\/11 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 851*w = 852*w + 11, -17*w + 29 = -h - 60 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 308486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.6 - 15. Let i = -41 - -163\/4. Let o = -9702 - -9701.7. What is the third smallest value in t, -4, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from yeeeeyveeeyeye?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -2 + (1 - 1). Let p = -0.11 + 0.61. What is the nearest to z in -3, p, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**(-1\/2)*n)*n)**(1\/22)\/(n*n*n**0)**8)\/((n\/n**0)**(-1\/25)*(n*n**(-1\/2)*n)**(-2\/29)) assuming n is positive.\nAnswer: n**(-502199\/31900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 147*f + 137*f + 12 - 273*f + 4*f**2 - 2*f**2. What is h(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 8*k - 47, 430 + 468 = -2*r - 3*k + 861 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 6. Let x be z(5). Suppose 3*y + y = x. What is the greatest common divisor of 40 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/12 + 1250\/(-15). Let y = -84 - n. Factor 3\/4*t**2 - 3\/4*t + y.\nAnswer: 3*t*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(2\/9)))\/s**(-2\/13) assuming s is positive.\nAnswer: s**(44\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -35291, 0, -18, -4 in ascending order.\nAnswer: -35291, -18, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -10 - (-18)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -389.6194 to zero decimal places.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-8449)\/(-28) + 1 - (-1)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3500 divided by 35\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*v = 10. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1092 - 1092.079. Which is the third smallest value? (a) 0.06 (b) 1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 16560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 14*s + 8. Calculate the remainder when 95 is divided by n(12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*p + 2*j, -133*j + 124*j + 56 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.263252 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 249263505 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7520 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -12 - 0 - (500 + -527)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v + 1. Let o(b) = 5*b**3 + 5*b + 4. Give -o(n) + 3*p(n).\nAnswer: -2*n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21565 + -133?\nAnswer: -21720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-3)*164\/123\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 2*k - 1\/20*k**5 - 1\/2*k**2 + 1\/4*k**4 - 1\/2*k**3 + 0. Calculate the remainder when s(-3) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27177 or 0.1?\nAnswer: -27177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/((-1936)\/22)*-16*(-4)\/(-12).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37.43 - -30.43. What is the nearest to 1 in -0.8, w, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 3) to base 12\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 7:57 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 409, 433, 477, 547?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39608073 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 2*c + 0*c + (-c + c - 3*c + 4*c + 0*c - 5*c + (-1 + 1 - 1)*(c - 2 + 2))*(-312 - 209 + 608).\nAnswer: -436*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -20. Suppose x + 30 = 3*d. Let j = d + -2. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -544981\/48 or -11353?\nAnswer: -11353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 5850130?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1060, -2483, -3906, -5329, -6752?\n\"Answer: -1423*x + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 6:05 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(200)*-4)**2 + -3 + (-1*sqrt(64)*1 - sqrt(64))\/sqrt(8).\nAnswer: -4*sqrt(2) + 3197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79.0959 - 34.1. Let n = 45 - s. Round n to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220 + -215. Let m(o) = -o. Let b(z) = -4*z**2 - 5*z + 5. Let t(x) = l*m(x) - b(x). Let v(a) = 6*a**2. Calculate t(v(j)).\nAnswer: 144*j**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 303 = -5. Suppose -145 = -6*m + s. Calculate the remainder when 147 is divided by m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 - 1234 = 91*x + 2913 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + -a3?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(3\/(-9)))\/(-1). Let p(x) = 2*x - 3. Let h be p(i). Suppose 3*y - 2*y - o = 3, 4*y - h*o - 16 = 0. What is the smallest common multiple of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**3 + 41 - 38 - 2*h**3 - 2*h to the form y*h + q + k*h**2 + l*h**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28085.39 + 110.39. Let r = -27927.977 - k. Let t = 47 - r. What is t rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142370 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -20.019628.\nAnswer: 120.117768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4312 + -26?\nAnswer: -4338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 436565936131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2433, 2484, 2535, 2586, 2637?\n\"Answer: 51*c + 2382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2000969 nanometers in kilometers?\nAnswer: 0.0000000000002000969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/1*2. Is 10*b\/(-2) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 10:24 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/2052483 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -127 + 150 + -23.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301846 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -233403, -7\/3, -15\/4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -177, 3, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 55036.91 millimeters?\nAnswer: 55036910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 3*w + 2. Give s(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - 0. Let x = w + 37. What is the least common multiple of x and ((-36)\/15 - -2)\/((-4)\/20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.6840282 and 0.\nAnswer: 9.6840282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and 0.01609?\nAnswer: 0.06609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.66 and -121017.\nAnswer: -79871.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in 1, -1, 1\/5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -51.00000093. Round q to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 17*o**4\/4 + 13*o**3\/3 - 13*o**2\/2 - 13*o - 100. Let h(s) = 4*s**3 + 3*s**2 - 3*s - 3. Calculate 26*h(w) - 6*i(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 6*i**2 - 4155566*i\/5 - 554076\/5 = 0.\nAnswer: -2\/15, 138519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30980860 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1829 + 1828.7044. Let h = o + 0.271. Round h to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x + 3. Let j(d) = -d**2 - 10*d + 4. Let q(b) = -4*h(b) + 3*j(b). Factor q(i).\nAnswer: -3*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141269 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 7*l - 2*l)*(3*l**3 + 4 - 4) to the form k*l + n*l**4 + y + b*l**3 + v*l**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + n = -8, -117*k + 112*k + 2*n - 11 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -4*c + 2*k - 72, 24*c - 494*k - 43 = -493*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 5*j - j)*(2 + 2 - 2)*(-3*j**3 + 4*j**3 + 0*j**3).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -11. Suppose -y*h - 3 = -4*h. Solve 7*n = h*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 4. Let y(n) = -n + 6. Let q(l) = -1. Let p(w) = -4. Let a(m) = -5*p(m) + 15*q(m). Let s(i) = 3*a(i) - 2*y(i). Give -4*k(f) + 5*s(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/6*2 + 114\/342. Calculate the smallest common multiple of x\/48 + (-1345)\/(-30) and 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*n - n + 26*n**3 - 25*n**3 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let o(y) = 7 + 0*y - 1 - y. Let f(w) = w - 7. Let a(n) = 6*f(n) + 7*o(n). What is p(a(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 + 3*q - 6 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/18)\/(-1 - 5\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.99 - -0.01. Let o = g + -1. Which is the nearest to 0? (a) o (b) -4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + -3 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2037 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.851249 micrograms to tonnes.\nAnswer: 0.000000000000851249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**3*w**3 - 15860*j**3 - 3*j**2*w**3 - 3*j*w - j - 7*w**3 wrt j.\nAnswer: 48*w**3 - 95160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66347320763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c + 56. Let i be a(-6). Let w(f) = -8*f**2 - 9*f**2 + 26*f**i - 13*f**2. Let t(q) = 12*q. Calculate t(w(y)).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431 (base 5) to base 3.\nAnswer: 22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-850)\/(-40)))\/(2\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 728410486 to the nearest integer?\nAnswer: 26989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 12:51 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 11*(-10)\/380*-28?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-248)\/60 + 8 + (2 - 6). Sort 1, j, -590 in descending order.\nAnswer: 1, j, -590","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 267003.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(sqrt(165)\/(sqrt(44)\/sqrt(4) + sqrt(11)))\/((sqrt(108)*3 - sqrt(108) - sqrt(108)) + sqrt(108))*-2.\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:18 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 233861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128969701*o**2 - 839*o - 272460 wrt o?\nAnswer: -257939402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -1769, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2714, 5, 6, 18 in ascending order.\nAnswer: 5, 6, 18, 2714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330 + -3. Let k(l) = -16*l - 15. What is the remainder when j is divided by k(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/9 + 73*y**2\/3 + 860*y\/9.\nAnswer: y*(y + 4)*(y + 215)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-5)\/18)\/(1725\/1035).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2236, -2312, -2388, -2464, -2540?\nAnswer: -2616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 10*l - 4. Let d(v) = 9*v**2 - 21*v + 9. Suppose -12*y + 35 - 11 = 0. Give y*d(a) + 5*t(a).\nAnswer: -2*a**2 + 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 3\/2*h**2 + 1\/12*h**4 - 9*h + 0*h**3 + 0. Let c(x) be the first derivative of o(x). Let s(g) = g. Determine c(s(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 30, 20, 0.02, -8, 0.3 in ascending order.\nAnswer: -8, -5, 0.02, 0.3, 20, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(3 - (-14)\/(-4)). Let v be -1 - q - (-3 + -2). Let f(b) = 2*b - 2. What is the units digit of f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81585*l - 87868*l = -232471 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -15. List the prime factors of (-16)\/24 - m\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*g**2 - 54*g**2 + 0 - 49*g**2 - 46*g**2 - 1 - 58*g**2 + 265*g**2.\nAnswer: 8*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(455\/21))\/(3\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -54*j + 515. Determine m(7).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*a - 6 = 0, -49*a - 2 = -2*k - 48*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 4 - 0\/1. Let q be 1 + -3 + 9 - y\/(-1). Suppose -q*s + 659 + 365 = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/4 - 8*r**3\/3 + 5*r**2\/2 + 22*r - 26. Let d be i(7). Solve -6*q + d = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fft when three letters picked without replacement from {m: 5, t: 10, f: 3}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:27 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1157, -1103, -1049, -995, -941?\n\"Answer: 54*g - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - sqrt(72)*1 - (sqrt(18)*1*4 + sqrt(18)))\/(((sqrt(288) + sqrt(18))*-2)\/sqrt(3)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2663337 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*1*sqrt(60))\/(-4*sqrt(48)*5).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + f - 1. Let v be 1\/7 - 13\/(-7). Let d be b(v). Suppose 2*j = d*j - 66. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3375 and 78625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*7 - (5 + -3). Suppose 0*x + n = -3*x. Let h = -1 + x. Put h, -3, -2 in decreasing order.\nAnswer: -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/70 - (-9)\/45.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*c**3*l - 3*c**3 - c**2*l - c*l + 1286*l wrt c?\nAnswer: -300*c*l - 18*c - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17353357 (base 8) to base 5.\nAnswer: 2014141334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1925692, -1925815, -1925952, -1926109, -1926292, -1926507, -1926760, -1927057?\n\"Answer: -x**3 - x**2 - 113*x - 1925577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 81173131 and 0.15?\nAnswer: 81173130.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/156*-91)\/(20\/(-4)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*h**5 + 6*h**4*v**2 + h**2*v**2 + 2*h**2 wrt h.\nAnswer: -4320*h**2 + 144*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + p = 19 - 46, -5*r + 2*p + 33 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 935580271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) - 69\/12. Let h(d) = 3*d**2 + 5*d + 1. Is h(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65438992 is divided by 8607?\nAnswer: 8578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b**2 + 2*b - 7. Let q(g) = -25*g**2 + 3*g - 13. Let s(r) = -4*q(r) + 7*x(r). Let l(h) = h**3 + 11*h**2 - 27*h - 14. Let o be l(-13). Give s(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 23*d - 1. Let g(u) = 46*u - 2. Let c(w) = -3*g(w) + 5*m(w). Let x be c(-1). Suppose z - x = -0*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4111*r**3 + r**2 + 3*r - 3. Let b be -1 - (-2 - (-3)\/(-3)). Let o be -1 + (-1 - b\/2). Let u be z(o). What is u rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 4 - (-21 + (-9 - -29) + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-37)\/(-4) - (-1)\/(-4). Let i be 315\/(-30)*(-40)\/(-6). Let q be n\/(-5)*i\/21. Solve 3*f + q = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 399 = 10*o - 7*o, 0 = -5*o + 2*y + 658. What is the highest common divisor of 12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214229.2 hours in minutes?\nAnswer: 12853752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 62*i**2 + 39997*i + 4517. Calculate y(-645).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -27.637, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - m**2 - m**5 + (-2*m**3 + m**3 - m**3)*(-m + m + m**2) + 0*m**5 - 3*m**5 + 4*m**5 + (-2*m**2 - 2*m**2 + m**2)*(m**2 - 10 + 6*m**3 - 45*m**3 + 12).\nAnswer: 115*m**5 - 3*m**4 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7061 - -7215. What is the remainder when b is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -19. Let l = 13 + p. Let h = l + 7.0002. Round h to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111011 - 1001111110000?\nAnswer: -1001000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 6*o + 7*o + 2 = 0, o = j + 1. Solve 3*i + z + 20 = 0, -j*z + 7 = 4*i + 42 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixteenths of a day?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/75*20)\/((60\/(-18))\/5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t**3 + 13*t**2 + 2*t - 66. Let o(x) = 7*x**3 + 7*x**2 + x - 33. Let z(g) = 6*a(g) - 11*o(g). Give z(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-4)*(17 + 846\/(-54)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 6*z**2 + z + 6. What is s(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -81*a**4 - 57*a**3 + 3*a**2 - 18*a. Let v(g) = 40*g**4 + 29*g**3 - 2*g**2 + 10*g. Let i(l) = -5*r(l) - 9*v(l). Factor i(c).\nAnswer: 3*c**2*(3*c + 1)*(5*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 33) + 1 + 18 + -7?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - ((1 - 5) + (24 - (29 + -14)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -27\/7?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five quarters of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 14*h - 5*j = -15, 5*j - 22 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 3*n - n**2. Let o(k) = 778 - 778 - 2*k**2. Calculate o(c(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14857637?\nAnswer: 821, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -11.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1481 is divided by 146?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 + 3448106*b**2 - 13792400*b + 13792392 = 0. Calculate b.\nAnswer: 2, 1724049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccwgcfccgcgf. What is prob of picking 2 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 277850, 0, 1, 2, -2, -1 in descending order.\nAnswer: 277850, 2, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12942, -18832, -28652, -42402, -60082?\nAnswer: -81692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 4318578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/12 + -2)*(-21)\/4*-1. Which is the second smallest value? (a) -0.1 (b) -3\/8 (c) l (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5 + -7 + -2 + (5 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(sqrt(6) + (sqrt(6) - (sqrt(384)*2 + sqrt(384) - sqrt(384)))))\/(sqrt(54)\/(sqrt(2) + (sqrt(8)\/sqrt(4) - sqrt(2)))).\nAnswer: -sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72917 and 4173?\nAnswer: 23406357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5467391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -9. Let w = 63 + s. Let c = 40 - w. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-12)*14)\/3*(-3)\/(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122119803?\nAnswer: 3, 13, 1043759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/140 + 7 + 0\/(-4) + (-360)\/(-100)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146770063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/2 of a hour?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/98 + (-296)\/28 + (-164)\/(-4) + -11.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 778.783 years to millennia.\nAnswer: 0.778783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*((-592)\/(-256))\/37. Which is greater: s or 0.0791?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 3. Suppose 8*r - 3*r = 15. Let u be 2\/(-1) + 3 - 1. Let g(j) = j**2 + u + r*j**2 + 7. Determine 3*g(t) - 7*l(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 w when three letters picked without replacement from {m: 1, p: 1, f: 1, w: 2, i: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 95, 145, 223, 335, 487?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-11))\/t)\/t**(-1\/2))\/(t*t\/((t*t**(1\/5))\/t))**21 assuming t is positive.\nAnswer: t**(-263\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 3*h - 21 - 3, 0 = n + 2*h + 12 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-2)\/(-60)*-3.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 1. Let b be k(0). Let i = 383 + -255. List the prime factors of -1 + b - i\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 974, 975, 980, 989, 1002, 1019?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*x = -29, 3*x = 3*t - 2*x - 27. Suppose 4*g - 2*h + h - 6 = 0, -2*h = -t. Let i be 6*(g + 20\/(-12)). Solve -c = i*u + 5 + 4, 2 = -u + 2*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*t + 9 = 0, -5*x + 11 = 3*t + t. Solve -5*k = -0*h + 3*h - 37, 0 = k - x*h + 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/64 and -23\/1052.\nAnswer: 16832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 207428479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {b: 1, g: 2, z: 6, c: 1, o: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 + u**4 + 3*u**4 + (3 + 1 + 7)*(5*u**2 - 3*u**2 - 3*u**2)*(-2*u**2 + 4 - 4).\nAnswer: 26*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(117)*2 + -5 + (sqrt(117) - (sqrt(117) + -1 + 0) - sqrt(117)))**2 + (sqrt(117) + 6*(2 + sqrt(117)) + -5)**2*1.\nAnswer: 252*sqrt(13) + 5948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*w - 23, -3*z - 13*w + 18 = -15*w. Which is bigger: 35\/33 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43653*x = -43805*x + 6840 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z + 0 + 3 + 1 + 11*z in the form c*z + l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(2*t**3 - 5 + 5)*(2*t - 8*t - 2*t + (-3*t - t + 5*t)*(2 + 2 - 6)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 35\/(-10))*6. Let s be (-584)\/(-48) + -7 - (-2)\/(-3). Let j*v + 3\/2*v**3 + s*v**2 + 0 = 0. Calculate v.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 23 = 41. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 5:27 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160.664 meters in millimeters?\nAnswer: 3160664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 189676271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 1\/6 (c) 91 (d) -1148\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 8*c**2 + c - 3. Let j be t(8). Let a(b) = -1 + 0 + 5 + b - j. Let d(g) = -3*g - 1. Determine 2*a(k) + d(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = b - 156, -3*z + 4*b - 23 = -135. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35268?\nAnswer: 2, 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5*s**2 - 6*s - 9. Give l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 2*r + 0 - 7*r**3 + r**2 - 1 + 0*r**3. Is c(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 25*d - 25*d - d**2. Let p(j) = 10*j**2. Give p(h(q)).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 - 3*g**3 - 2*g**3 + (-5*g + g + 2*g)*(-g + g - 2*g**2) + 4*g**3 + g**3 - 3*g**3 + 3 + 4*g**3 + 69416*g - 69429*g - 5.\nAnswer: 8*g**3 - 13*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 76.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 349080 divided by 349080\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, s: 2, o: 7, e: 1, i: 3}. What is prob of picking 1 s, 1 a, and 2 i?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/33 - 399\/(-77). What is the second biggest value in -0.4, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*g**2 - 22*g**2 - 21*g**2 - 4 + 88*g**2 - 23*g**2.\nAnswer: -4*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-10))\/(434\/35). Let z = -117\/217 - q. Which is the second biggest value? (a) -3 (b) -1\/6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200732.\nAnswer: 2, 3, 13, 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 92 - (-2 + -13 - (13 - 56 - -40))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -38620 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -2 + sqrt(19) + sqrt(19) + 1 + (1*sqrt(57))\/sqrt(3))*-2*6.\nAnswer: -48*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-22295)\/124852*(-1 + -3)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 - (20 + 60) - (1 + 8 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -13, 17, 5.\nAnswer: -13, -2, 1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(684) - (1*sqrt(684)*4)**2 - sqrt(684) - sqrt(684)) - (-3 + (1*sqrt(475))**2 - ((sqrt(475) + -1)**2 + -4))) + 5.\nAnswer: -10939 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 15 = 5*k, 0*k - 5*i + 9 = 2*k. Suppose 0*m = k*m + 12. Let u(v) = -v**3 - 4*v**2 + 8*v - 5. Calculate the remainder when u(m) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15 + -3 + 5 + 0. Suppose d*i = 12*i - 25. Let r be 8\/10 + (-1)\/i. What is the greatest common factor of 11 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*y**3 + y - 253.\nAnswer: 15*y**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g = 44*g - 155. Suppose 4*d - g = -11. Let h = -9 + 6. What is the second smallest value in h, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 71*z - 4 - 7 + 7. What is the tens digit of q(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkuuuukkkkkuukkuk. Give prob of sequence kkuu.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0.278.\nAnswer: -4.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.03 (b) -3 (c) 1\/4 (d) 0.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/4 + 3*j**3 + 5*j**2\/2 + 9*j + 1. Let l be 24\/14*210\/(-45). What is the tens digit of q(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.2 (c) -11 (d) 1\/94 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.878113 to 2 dps.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 2*o**2 + o + 2. Let y = -9 - 1. Let n = -3 + -4. Let j = y - n. Give m(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:46 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(2 - 0 - 1). Suppose -g = -t*g + 74. Suppose -17 - g = -3*n. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14664258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 192*j**3 - 9*j**2 + 21*j + 11. Is i(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.0697361.\nAnswer: -0.03486805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10179.1 take away 3?\nAnswer: -10182.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(70))\/sqrt(7))\/(sqrt(245) + (sqrt(245) - (-4*sqrt(245) + sqrt(245) - sqrt(245)))).\nAnswer: -sqrt(2)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, l: 3, c: 4, k: 4}. Give prob of sequence lck.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 12 + 16 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -17. Let r be 4\/10 - (-28)\/m. Let a be ((-3)\/r)\/(2\/4). Sort a, 4, -4 in descending order.\nAnswer: 4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25698, -39619, -62822, -95307, -137074, -188123?\nAnswer: -248454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 8*f - 32. Solve f*w = -2*u, 2*w - u - 6 = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(30)\/sqrt(3))\/((2*sqrt(16) + sqrt(16) + sqrt(16))\/sqrt(8) - sqrt(2)) - (2*sqrt(40)\/sqrt(8) - (0 + sqrt(5))*2).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 129 + 364 = -455 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -29*z**2 + z + 5. Let m be d(-3). Let h = -131 - m. Let k = h + -91. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4652077*n**2 - 5089143 with respect to n.\nAnswer: -9304154*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73129 and 20557.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064286861 - -0.1.\nAnswer: 0.035713139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 - o**2 - 5*o**2)*(3 - 2 - 2) + 5*o**2 + 15*o - 15*o.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -0.5, 3\/11, 21?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 1)*(1 - n**2 - 1 + (-n + n + 2*n)*(4*n - 1 + 1)).\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5460, 10910, 16360, 21810, 27260, 32710?\n\"Answer: 5450*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107123923 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**3 + 6*u**2 - 4*u + 1. Calculate the remainder when 396 is divided by q(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 5. Let n be y(2). Suppose n*j - 21 = -14. Suppose 0 = t + 4 - 9. Calculate the lowest common multiple of t and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:27 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8147\/2 - -4024. Let l be 6\/18 - 1573\/12. Let v = l + 141. Find the common denominator of v and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 328*f - 2002. Let q be o(-6). Solve i + q*i + g = 4, -5*i = -2*g - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101011011 (base 2) in base 4?\nAnswer: 31123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {r: 1, a: 5, w: 4, j: 8}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477289?\nAnswer: 193, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9288.623 - -988437.\nAnswer: 997725.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - h - 341 = 0, -2*n + 652 = 10*h - 6*h. Suppose 5*i - n = -i. What is the remainder when i is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -105 + 13 + 118\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -96989.\nAnswer: 2\/96989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4792 to the nearest one hundred.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-3)\/(-54)*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -706?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28169 - 6196. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/5 + 845854104*u\/5 + 89433645656705352\/5 = 0.\nAnswer: -211463526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-4))\/(3\/78). Let u be (3\/2)\/((-3)\/(-38)). Let q = v - u. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11)*2 + -4)) + 3)*-3 - sqrt(22)\/(sqrt(2) + sqrt(24)\/(sqrt(36)\/sqrt(3)))*-4.\nAnswer: -21 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**4\/4 - 2*y**3\/3 + 2*y + 17. Let z be c(2). Calculate the remainder when 31 - (4\/1 - (z + -1)) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14775489353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 46. Let i be w(-16). Let y be (-2)\/i*138\/((-54)\/(-9)). Solve y*r = 18*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q - 1\/8*q**4 + 0*q**3 + 0*q**6 + 0*q**5 + 1\/48*q**8 - 2*q**2 + 0*q**7 + 0. Find the second derivative of m(c) wrt c.\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -157.92939 and -0.2.\nAnswer: 31.585878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289019 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: Evaluate ((-2)\/10)\/((-56)\/700)*(-1)\/(-1).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3288176 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9057564 and 12?\nAnswer: 9057564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (866 - 755) + (2 - 46)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/30)\/(96\/120)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, c: 6, v: 6, h: 1, q: 2}. What is prob of picking 1 q, 1 g, and 1 h?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d**2 + d**2 - 3*d**2)*(-3*d + 0*d + 2*d)*(1 + 12 + 23) as c*d**3 + s*d + x + w*d**2 and give c.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/48)\/(28\/(-16)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3599 is divided by 878?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - 1473?\nAnswer: -1482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -429715\/15438 - -4\/2573. Let s = -55\/2 - n. Are 0 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 360\/(-1 + 21) - 143. Which is the biggest value? (a) l (b) -19 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103761\/14 - 11\/22 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, w: 2, v: 6, g: 4, d: 3, u: 1}. Give prob of picking 3 d and 1 y.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 18*c. Let k(w) = -281293*w**2. Calculate k(x(h)).\nAnswer: -91138932*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3114\/(-9861)*12255\/45?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*j**4 - 20*j**4 + 38*j**4)*(4*j + j - 3*j).\nAnswer: 96*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -75.1.\nAnswer: 225.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 + 2*s + 5. Let m be f(4). Let d be 2\/m*9\/(-2). Find i such that 4*i - i**3 - 2 + 0*i**3 + 2*i**4 + i**3 - 4*i**d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/14*((-18)\/(-315) - (12088\/840 - 12))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: -2400 (base 5) to base 7\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004113237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6034696 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-29.3\nAnswer: -20.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40 (b) 4 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.195\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 6) to base 8.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2049.0002033 + -2049. Round t to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 + 5 = -4*d, 2*i - 4*d = 4. What is the lowest common multiple of 1 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcccvcmckcmmmym. What is prob of sequence vm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -35 - (-2 + 2 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)*j*j*j**0)**(-22\/7) assuming j is positive.\nAnswer: j**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*q + 1895 = -453*q - 14401 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2)\/(1\/(-1)). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1128, 1, 3\/7, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 21*n**2 + 14*n + 12. Let m(g) = -14*g**2 - 9*g - 8. Give -8*m(h) - 5*y(h).\nAnswer: 7*h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109968*u**2 - 552 + 552 + 109968*u**2 + 44*u**3.\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/19767 and 10\/237.\nAnswer: 1561593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 13*b + 2. Let c be a(-13). Suppose -2 - 8 = -5*t. Solve -4*i - 4 = -t*f + 4, 2*i + 2 = c*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*(-2)\/16)\/(3\/36*-2). Solve -t*g + 13 + 0 = i, 4*g - 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 589396 and 1044?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/3)\/(-1) + 2. Let i = u - -16. Differentiate i - 4 - 3*o**4 + 3*o - 3*o with respect to o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*v - 86, 0 = v - 0*d - 3*d - 31. Let o be 2670\/v - (-6)\/(-8). Suppose f + o = 337. What are the prime factors of f?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k + 1. Let o = -8 + 5. Let y = -0.5 - -0.2. What is the nearest to k in y, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 209\/22)\/((-2)\/4). Suppose 5*x - u = -2*q - q, 0 = -2*q + 5*x - 26. Let s = 5 - 3. Sort s, q, -6 in descending order.\nAnswer: s, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:07 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1402 and 43.\nAnswer: 60286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 338953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-21))\/(-25*(-20)\/600*6\/280).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (sqrt(847) - sqrt(847)*2))**2 - (-5 + 2*sqrt(847) + 3)**2.\nAnswer: -2548 + 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -15, -4 in descending order.\nAnswer: 7, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -36*((-20)\/6)\/5. Let h = d + -23. What is the derivative of -h + 0*y**4 + 3*y**4 - 6*y**4 - 1 wrt y?\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64.792 - 65. What is d rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-10))\/((-126)\/(-315) + (-34)\/10).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/9)*m))**(-37\/5)\/(m**3)**(16\/7) assuming m is positive.\nAnswer: m**(-2419\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93*q**4 + 1726*q**3 + 128681 wrt q.\nAnswer: 372*q**3 + 5178*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 18*b**2 + 88*b - 1. Let v be z(-4). Is v + (37568\/36 - (-52)\/117) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.3 (b) -0.3 (c) 0.2 (d) -0.4 (e) 0.1026\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 412921307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*((-56)\/(-315) - (-6)\/27). Solve -r + 4*d + 12 = 0, -v*r - 3*d - 9 = -6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - 6550*t**3 - 1787*t**3 + 3*t**2 + 2*t**2.\nAnswer: -8337*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1855737 divided by -13\nAnswer: -142749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**4\/7 + 164*g**3\/7 + 228*g**2 - 164*g\/7 - 1600\/7 = 0. What is g?\nAnswer: -25, -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 4*w**2 + 2*w**2)*(26*w - 29036 - 52*w - 53229 + 28*w + 25455).\nAnswer: -4*w**3 + 113620*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12528 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020328419 rounded to five decimal places?\nAnswer: -0.02033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(1 + sqrt(1573) + 0 + sqrt(1573) + ((sqrt(1573) + sqrt(1573) + -2 - sqrt(1573)) + sqrt(1573))*-2 + sqrt(1573) + -2))**2.\nAnswer: -3036*sqrt(13) + 57157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + k. Let o(g) be the third derivative of g**5\/30 - 7*g**4\/24 - 147*g**2. Calculate -6*m(s) - o(s).\nAnswer: 4*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*s - 24. Suppose -2*v - 4 = -4*b + s, 0 = -4*b + 20. Suppose i + 3*d - 17 = 30, v*d = -5*i + 287. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68707.41 rounded to the nearest 1000?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -3*y - 14. Let u be ((-6)\/y)\/((-72)\/(-60)). Suppose 7 + 3 = 10*j. Which is the nearest to 0? (a) -0.5 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {r: 1, q: 5, e: 14}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -224. Let r be c\/(-52) - 4\/(-26). Factor -2\/3*l**5 + 0*l + 2\/3*l**3 + 0 + 2\/3*l**4 - 2\/3*l**r.\nAnswer: -2*l**2*(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/246 and 89\/32.\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10429 times -26513\nAnswer: 276504077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5 + v**2 - 3*v + 14 - 4*v. Let r be q(6). Suppose -j - r = -9. Calculate the remainder when 35 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 93*d - 97*d + d**4 + 0*d**4 to w*d + n*d**4 + o*d**3 + y*d**2 + z and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 7*r - 25. Let y be v(6). Suppose -y*z = -429 + 58. Solve 3*o - 20 = z*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/38 - (7713\/(-171) - -1))\/(160 - 158).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 4:56 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*p = 3*p, 0 = -p. Suppose y*l = l - 27. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 0.148 (c) -17 (d) 1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9323*x = -9319*x - 14856. List the prime factors of x.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/79?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 87 (b) 32.611 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/6 + -2)*(-693036)\/14904?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3367, -3791, -4215?\n\"Answer: -424*a - 2943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3867, 3863, 3859, 3855, 3851, 3847?\n\"Answer: -4*m + 3871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*f + 14, -2*n - 2*f = n - 10. Suppose 0 = 4*k + k + 30. Let j = n + k. Let m(u) = -u**2 - u - 8. Determine m(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -10.9. Let y = r - 17. Let t = y - 1.1. Which is the second biggest value? (a) t (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128, -126, -124, -122?\n\"Answer: 2*v - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**4 + 15*j**3 + 9*j**2 - 27*j = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 6*d - 4. Let a be b(-4). Suppose -w + a = 2. Let s = -3 + w. Is 3\/8 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586690755 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4 - -6) + 8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 11, -7 in descending order.\nAnswer: 11, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3*-1*9. Is g bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -386 (base 10) to base 8.\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b + 51 = -2037 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-261) + (-8470)\/(-495)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 54*i + 841. Calculate the remainder when r(45) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - x + 2. What is q(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 526115121*q**4 + 158167329 with respect to q.\nAnswer: 2104460484*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 334, 593, 956, 1423, 1994?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299*w - 10281*w + 305*w.\nAnswer: -11275*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 + 5 + -5 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17*x - 8. Let y be t(5). Let s = y + 97. Solve z - 3 = 8*g - s*g, -3*z - 5*g - 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 52. Solve -16 = p*b - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 + 3*l**3 - 3*l + l**3 + 2*l**3 as k*l**3 + u*l + o + p*l**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -37. Let r be m\/(-9) - (-6)\/(-27). Suppose -3*w = -5*w + r. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3758684 and -12.67.\nAnswer: 3758671.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (7 - 4) - -4. Suppose 0 = -5*s + g + 21. Let m(t) = 4*t - 2 - 5*t + s*t - t**2. Give m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*q**2 - 2377*q**2 + 572*q**2 + 569*q**2 + 696*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 350*m**5 + 172*m**5 - 84*m**5 - 2*m**5 + 6*m**5 - 2*m**5 + (4*m + 3*m - 6*m)*(4*m**3 + m**4 - 4*m**3) - 2*m + m**5 + 2*m.\nAnswer: 442*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1269006 - -1269033.10577. Let s = 481.9 + -509. Let j = u + s. What is j rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7920, -7919, -7918, -7917?\n\"Answer: c - 7921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6621393 less than -488?\nAnswer: -6621881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 48270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1573)*-2)**2 + 1)*-5.\nAnswer: -31450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64.53 - 64.23. Which is the third biggest value? (a) -0.2 (b) 0 (c) 16 (d) h (e) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 12, 5*g - 4 + 396 = 4*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108108084*p**5 + 182343*p**2 + 491?\nAnswer: 6486485040*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/58)\/(1655\/9599)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 890387, 890377, 890361, 890339, 890311, 890277, 890237?\nAnswer: 890191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -825909 (base 10) to base 8\nAnswer: -3115065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1154437 - 37?\nAnswer: -1154476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -94929 to the nearest one thousand.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**4 - 2*t**4 + 2*t**4)*(0 - 1 - 1 + (-2 + 2 - 2)*(-4 + 2 + 0)) + t**3 - 5*t**4 - 359*t**2 + 359*t**2 as o*t + q*t**4 + j*t**2 + k + f*t**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, s: 14}. What is prob of sequence ssss?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(5 - (20 + -3)). Let r = d - -93. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 86*j**2 + 3*j + 22 + 85*j**2 + j**4 - 5 in the form b*j**3 + l*j**4 + k*j**2 + o + i*j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 - 5 - 24710\/(-3724) and -19\/8.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1448, -2896, -4334, -5756, -7156, -8528, -9866?\nAnswer: -11164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + x + 14352, 0*t + x = -5*t + 14358. Suppose 2*g - 873 = t. Suppose -2*c - 7456 = -4*k, 2*c - g = -3*k + 3727. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2780 and -6?\nAnswer: 16680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4253 divided by -3.\nAnswer: -4253\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6768605973.\nAnswer: 3, 139, 16231669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: In base 2, what is 101 - 100000110111?\nAnswer: -100000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/4))**6*q**(-2\/7)\/(q\/(q\/(q\/q**(-2\/13))*q)))**(-7\/4))**(9\/5) assuming q is positive.\nAnswer: q**(3177\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggvggvgvgvvvggv. Give prob of picking 3 v.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 13. What is u(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/15)*y)\/y)\/((y\/y**(-4))\/y))\/(y**7*y*y**2\/y*y*y) assuming y is positive.\nAnswer: y**(-227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64.4 - -62.4. Which is the second biggest value? (a) -4\/3 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 + -10 - -7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(1 - (-3)\/(-1)) + -2. Let q be (2\/2)\/(z\/(-5)). Let o = 52 + q. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 70081 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*y = -3*y - 12, 2*g - 14 = 5*y. Suppose g*r - 4*r + 98 = w, 4*w - 389 = -5*r. Suppose 5*h = 39 + w. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.87 - -3.97. Let y = -7 - -10. Let i = -4 + y. Which is the closest to t? (a) 1 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 12. Suppose u*h + 0 + 17 = -3*b, -16 = 2*h + 4*b. Is 0 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 404 - 6870\/17. Let v = -11\/51 + p. Let u = -561 + 558. What is the biggest value in 3, v, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-12))\/(3\/(8*-27))*33\/55?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - j. Let x(k) = 23*k**3 + 3*k**2 + 12*k - 1. Give 2*h(l) + x(l).\nAnswer: 23*l**3 - l**2 + 10*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3*h**2 - h + (-3*h + 2*h + 3*h)*(4*h - 3*h - 3*h) + 5*h**2 + 0*h**2 - 3*h**2)*(-139*h**2 - 5*h**2 - 28*h**2).\nAnswer: 860*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 6) in base 14?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 4:47 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1284612 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100010 + 1000?\nAnswer: -1111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112869 and 51408.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -2004?\nAnswer: -1665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 842360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.1. What is the third biggest value in -2, u, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ebc - -2f2?\nAnswer: -1bca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13927434319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110000100 (base 2) in base 14?\nAnswer: -27d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 s when three letters picked without replacement from {l: 2, s: 7, y: 3, t: 3}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-4) - -6*(-9)\/216. Put 5\/4, w, 0, 3\/4 in decreasing order.\nAnswer: 5\/4, 3\/4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.9 + -23. Let d = 0.9601 - -0.0399. Let w = r + d. Which is the biggest value? (a) -17 (b) -0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*j - 45*j + 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 57628.\nAnswer: 115256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5183.\nAnswer: 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15328410.\nAnswer: 2, 3, 5, 599, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**3 + 15 + 34*a**3 + 43*a**3.\nAnswer: 55*a**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -128, -253, -380, -509, -640, -773?\n\"Answer: -a**2 - 122*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j + 43*j + 36 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -7*d**5\/2 - 47*d**4\/2 + 98*d**3 + 226*d**2 - 72*d = 0?\nAnswer: -9, -2, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -235\/4. Let t = -181\/1659 - 8\/237. Let k = 3 - 2.5. Sort k, m, t in increasing order.\nAnswer: t, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4704\/3528*-6*2\/16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/1505 or 0?\nAnswer: 9\/1505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1358*m + 65217. Determine b(-48).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54325 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51083 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 310*v - 4. Let q(h) = 207*h - 3. Let a(s) = -5*n(s) + 7*q(s). Let x be a(1). Let z = 192 + x. Calculate the greatest common factor of 36 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111 + 1111011000111?\nAnswer: 1111100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11036863 is divided by 3188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**5\/30 + i**4\/12 - 19*i**3\/6 - 13*i**2. Let r(q) be the first derivative of o(q). What is the units digit of r(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**2 - 56*f - 25. Let y be m(-9). What is the greatest common divisor of y and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 11330*k - 11332.\nAnswer: 2*(k - 5666)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 5*k**4\/8 - 5*k**3 + 9*k**2 + 3. What is the hundreds digit of v(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 4. Let z be i(3). Let n = z - 7. Let s(o) = -2*o**2 + 0*o**2 + n*o**2. Let y(r) = r. What is s(y(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7\/9, -0.1 in ascending order.\nAnswer: -0.1, 7\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) 0.06 (c) -412 (d) -118\/53 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - q**2 + q - 2. Let c be -1*(3 - (8 - -4)). Suppose -4*x + s = -31, -x + 4*s = c + 2. Let z = x + -11. Calculate i(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 39. Let t be ((-8)\/12)\/(4\/186). Let u = t - y. Solve -5*g = -6*n + n - 10, 3*n = -5*g - u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:53 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10660108 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 9*x + 1. Let q be y(-4). Suppose 25*t - q*t = 24. Solve -t*b - 19 = -1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u. Let s(d) = 5*d - 12. Calculate s(l(z)).\nAnswer: 10*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 292315\/((-30)\/20 + 2). Round c to the nearest 10000.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwgg when four letters picked without replacement from {w: 7, g: 7}.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*p + 12, -4*x + 2 = p + 9. Suppose r + p = -0, o - r = 1054. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -26. Let w = 17 - 17.4. Which is the closest to d? (a) 1\/7 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0599 + -0.0526. Let p = x - 2.6073. What is the nearest to 0.2 in 2\/13, -1, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1343 + 1358. Solve 3*h = 12, -5*t = -4*t - 5*h + y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -390553444 divided by 4454?\nAnswer: -87686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 0, -6*m - 1092 = 4*v - 2*m. Let z = v - -458. List the prime factors of z.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -88, -87, -88?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + 17 + -6 - (-20 - -8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2760139, 2760117, 2760095, 2760073?\nAnswer: 2760051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 2:33 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15618*t + 14984*t + 70374 for t.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 9. Calculate the smallest common multiple of b and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1691707 and 4443467.\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.222, 2\/3, -2\/3 in ascending order.\nAnswer: -2\/3, 0.222, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -467732 (c) 3\/4 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 59?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 1:16 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2213476 and 2.3.\nAnswer: 2213478.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 13. What is the units digit of u(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1129, 2257, 3385?\nAnswer: 4513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7308723 to 2 dps.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114820 is divided by 1523.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*y - 1924 = 209*y for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1300474 is divided by 5938?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187635954.\nAnswer: 2, 3, 11, 37, 76837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -13. Solve 2*q + 2*h - 14 = l, -4*h + 20 = 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 4 + 6 - j + j**3 in the form b*j + o*j**2 + u*j**3 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15840 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4*160.15306.\nAnswer: 384.367344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.5540695 rounded to one decimal place?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqcqccqqqcc. What is prob of picking 2 c?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -6 + (0 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:53 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80 + 2*s**2 + 3*s**2 - 9*s + 32*s + 17*s.\nAnswer: 5*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 5*r**4\/24 - 26*r**3\/3 - 2*r**2. Is 12 a factor of n(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -450835605 divided by 5\nAnswer: -90167121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(32) + (sqrt(32) - (sqrt(32) + (sqrt(160)\/sqrt(5)*-1 - sqrt(32))))**2 - sqrt(32) - 2*(sqrt(800) - sqrt(32))**2)*-4.\nAnswer: 17920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 12. Let t be z(3). Solve -5*d - 25 = -3*n, 6*n - 8*n + 2*d + 10 = t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 + 3*y**3 - 3*y**2 + 4*y**2 + 3*y**3 - 8*y**3.\nAnswer: -2*y**3 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370653 is divided by 14254?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658 (base 13) to base 10.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-3 - 1)) + -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 5:24 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2398609290079 less than 21?\nAnswer: 2398609290100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -329.536018?\nAnswer: -329.836018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*r - 12, 2*r - 3*i - 14 + 12 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676 is divided by 164.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:11 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1967 - (-3 - 0 - -4). Let w = 1148 + u. Let g = 3754 + w. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3374 - -3426. Solve -35*b = -k*b + 68 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + s + 2*s + 4*a = -30, -9*s - 3*a = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 846\/94*2\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0*j**4 + 0*j**5 + 0 + 0*j**3 + 1\/6*j**6 - 3*j**2 + 6*j. What is the first derivative of t(s) wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25004686 divided by -3?\nAnswer: 25004686\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 + -0.1499083. Round o to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 6401582670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + q. Let s(p) = 84*p**3 - 2*p. Calculate 2*m(b) + s(b).\nAnswer: 86*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/48 + 2)\/(2\/(-18))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -103*z - 410. Give a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -121864356.4.\nAnswer: -121864356.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - ((-5 - -6) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1330, -5563, -12696, -22735, -35686, -51555?\n\"Answer: -l**3 - 1444*l**2 + 106*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Let v be 3\/4 + 4*1\/(-4). What is the closest to 3 in v, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffi when four letters picked without replacement from iifkfiiifdiiiffii.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 minutes before 7:27 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**7\/6 + m**4\/2 + 3*m + 3. Let w(q) be the first derivative of o(q). Find the third derivative of w(r) wrt r.\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(75) + 1 + sqrt(75) + 1 + -3)**2*-6*-2.\nAnswer: -240*sqrt(3) + 3612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*o = o - 4, -5*o - 2 = -3*f. Let n = 44 + -41. Let m be n + (-4 - -2)*f. Let q(r) = r - 8. Give q(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - r + 26, 3*r - 21 = o. Let i(s) = s + 1. Let z be i(o). Sort z, 1, 2\/13 in decreasing order.\nAnswer: 1, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2458 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -5, -4, 1\/255?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hllhmlhlmxlhlm. Give prob of sequence hmlx.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -203. Calculate the greatest common divisor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -317 - -2539\/8. Which is the fourth biggest value? (a) -5 (b) 1 (c) -0.5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000122012 + -200?\nAnswer: -21000122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -17. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -5 - -4 - 4 - -11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, i: 1, q: 1, g: 7, c: 1, p: 4}. Give prob of sequence pqi.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/7800 and 37\/9.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65101*q**3 - 38*q**2 - q - 3273 wrt q?\nAnswer: 390606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2869 - -2877. What is the remainder when 15 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01068 to four decimal places.\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-27) - (3\/(-15))\/(759\/1595)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d3168 (base 15) in base 6?\nAnswer: -211233425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 53*s - 5. Let c(g) = -84*g + 8. Let y(h) = 5*c(h) + 8*z(h). Let b(f) = -115*f**2. Determine y(b(m)).\nAnswer: -460*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6 + 17*s + 2048*s**2 - 2087*s**2 - 11. Let v(q) = -13*q**2 + 6*q - 6. What is 17*v(b) - 6*x(b)?\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 19*l**2 + 9*l - 8. Let i be h(14). Let b be (i\/305)\/((-1)\/5 - 0). Does 6 divide (-94)\/(-2) + (b - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 6598?\nAnswer: 26392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 16*n**2 - 2*n - 10. Let m be ((-8)\/3)\/((-39)\/(-9) - 4). Let h be c(m). Let x(i) = 9*i - 17. Let k(q) = 2*q - 4. Calculate h*x(r) - 26*k(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 10. Let q be t(4). Let a be ((-126)\/(-49))\/((-3)\/(-28)). Calculate the greatest common factor of a and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 0.5. Sort -1, 1\/10, d in decreasing order.\nAnswer: 1\/10, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705687 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12616 >= -12\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l - 10*l**2 + l + 15*l**3 + 7 - 16*l**3 - 4. Let s be -6*(-1)\/(4\/(-6)). Let q be a(s). Solve 16 = -4*z + r + q*r, 0 = 2*z + 3*r + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 9. Let o(n) = -4*n - 14. Let z(g) = -7*c(g) + 5*o(g). Let r be z(4). Let k(i) = 3*i + 1. Determine k(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -8. Solve 2*w - d = 4*l, -4*l + 3*l = -5*w + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 3. What is u(-6)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (4 + -1 - (-5 - -6))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b + 175. Let l = -21 + b. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4\/4 - 2*k**3\/3 + 7*k**2\/2 - 4*k + 105. Let d be o(-4). What is the fourth biggest value in 0.2, -0.03, d, 3\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 23766, 0.5 in increasing order.\nAnswer: 0.4, 0.5, 23766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9401\/(-237))\/(91\/78).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3093.669kg in tonnes?\nAnswer: 3.093669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + j**2 - 7*j + 2. Let a(v) = v**3 - 8*v + 2. Let g(q) = 4*a(q) - 5*f(q). What is g(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from oblmlqw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l + 1 - 1)*(-1 + 1 - 3) + (6*l + 9*l - 3*l)*(-4 + 2 + 0))*(3*l**4 + 3*l**4 - 4*l**4).\nAnswer: -60*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 933863795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - -7) + (0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60990206?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 20410114.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/32)\/(1\/(-142)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703433564?\nAnswer: 2, 23, 7646017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**2*k*v - 279*i**2*k - 706*i**2*v + 4*i*k*v - 3*i*v wrt k?\nAnswer: 2*i**2*v - 279*i**2 + 4*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 2*n**2 - 207*n**3 - 39 + 42 in the form w + k*n + i*n**2 + g*n**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f - 5013 = 27*f - 16*f - 8047 for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1587, 1896, 2405, 3108, 3999, 5072, 6321?\n\"Answer: -g**3 + 106*g**2 - 2*g + 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 144 = 2*l, -3*c - c - 2*l - 318 = 0. Let q = 384\/5 + c. Put -0.5, q, 2\/11 in descending order.\nAnswer: 2\/11, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1155)\/(-6))\/5 + -2. Let t = l - 36. Sort t, 1, 5\/4, 4 in ascending order.\nAnswer: t, 1, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*i + 494*i = -171*i + 955 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 18515330029540?\nAnswer: -18515330029539.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 271 = 2*l - 255, 0 = -l - y + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -14*p - 5. Let d(j) = 42*j + 14. Let c = -2 + 0. Let o(a) = c*d(a) - 7*i(a). Is o(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -25. What is the remainder when i is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -1, 242.75 in decreasing order.\nAnswer: 242.75, 23, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*p + 54*b**2 wrt p.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -6) + (1 - 1). Suppose 2*j - 3*r - 113 = 2*r, 3*j = -4*r + 227. Suppose 2*a = 4*c - 69 - 11, -j = -u*c - 3*a. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/10 - 5577\/65. Let c = 85 + x. What is the remainder when 7 is divided by -3 + 28\/(4 - c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 11.9. Let g = a - -5.900074. What is g rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*o, -4*k + 19*k - 5*o + 28 = 9*k + 5*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*g**3 - 55*g + 13 - 3 + 110*g + 2*g**2 - 55*g to the form u*g**3 + k + y*g**2 + i*g and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 4, 13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 10 - 5) + -6 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**3 + 1\/660*n**6 + 2*n**2 + 0*n + 0*n**5 - 1\/132*n**4 + 0. Factor j(o).\nAnswer: 2*o*(o - 1)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -24d9?\nAnswer: -24d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (88\/16)\/(1 - 27\/30). Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 313717 = 5*s + 6*m, 0 = -3*s + 3*m + 188205. List the prime factors of s.\nAnswer: 2, 3, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 639 and 1568177?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwddwwdd. Give prob of picking 2 d.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwkkkwk. What is prob of sequence kkww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15056 is divided by 1095.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 - 4 - (2 + 0 + -8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 plus -101.5212373?\nAnswer: -101.3312373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 8 = -33*j + 38*j, 4*y + 1 = -5*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22\/4151 + 2610649\/62265. Let b = t + -127\/3. What is the third biggest value in 1, 11, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - 3 - 7) + -5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v = 43*v + 44*v + 248 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1001010100?\nAnswer: 1001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 469, 97 in descending order.\nAnswer: 469, 97, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 greater than or equal to 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46, 56, 72, 94, 122, 156?\n\"Answer: 3*j**2 + j + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + f**3 - 2*f**2 + f**3 - 4 + 4*f**2 + 4*f. What is r(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 - 6*w - 4. Suppose -l + 32 = 5*d - 2*l, 2*l + 16 = 2*d. Let v(z) = -4 + 2*z - 3*z - 11*z**2 - 12*z - 5. Give d*v(j) - 13*g(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(1\/4)\/n*n)\/n*n*n))\/n**(3\/10) assuming n is positive.\nAnswer: n**(-11\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 226*h**2 - 878*h - 2218. Let d be i(222). Let q be (-52)\/14 + (-2)\/7. Let j be 17\/4 - (-1)\/q. Solve -c = 3*o + d, -j*c - 2 = -6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 875*n**3 - 16*n**2 + 2*n - 2. Let m(u) = 1749*u**3 - 40*u**2 + 5*u - 5. Give -5*f(c) + 2*m(c).\nAnswer: -877*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in 67, -3\/4, -2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 44 - (417 - 422 - (1 + -1) - -1).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 12 = -3*p - 0*p, -5*r + 5*p + 100 = 0. Factor 72 + 1\/2*a**2 - r*a.\nAnswer: (a - 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 5) + (11 + -38 - -30).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19575 + 42324. List the prime factors of x.\nAnswer: 3, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -729 + 734. Suppose 25 = t*r, -455 = -3*j + r + 4*r. What is the remainder when j is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165524930.1 - 23?\nAnswer: -165524953.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqyqqfyqfquqyqfqfq. Give prob of picking 1 q and 1 f.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + k - 1. Let i be (5 - k)*1\/10. What is the closest to -0.1 in 0.1, 1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3, -10, -9, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - c + 7. Let f be j(-3). Suppose 3*o - 13 = -f. Factor -147*t**o - 14*t + 149*t**4 + 18*t**2 - 10*t**3 - 1 + 5.\nAnswer: 2*(t - 2)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 8) - (-14 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -21527?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**5 - 2*u**5 - 2*u**5 + (-4*u**4 + 2*u**4 + 5*u**4)*(-3*u + u + 3*u) + 2*u**5 + 4 - 4 + (-1 + 1 + 8*u**3)*(10*u**2 - 8*u**2 + 14*u**2).\nAnswer: 134*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 58, 107, 170?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 197129, 196270, 195411?\n\"Answer: -859*w + 197988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/530548 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/5203 + -15769\/104060. Which is the second biggest value? (a) 0.2 (b) -5 (c) i (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 20*m**2 + 20*m**2 - 1968*m**3.\nAnswer: -1968*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-186)\/(-279))\/((-2)\/(-12)*-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -220 + 606?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.004.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 9 - (-2 + 1). Let c be 6\/(-4)*g\/2. Let k(q) = -6*q**2 + 5*q + 5. Let z(u) = -7*u**2 + 6*u + 6. Let d(f) = c*k(f) - 5*z(f). Factor d(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 - 26*t**2 + 23*t + 46. Calculate the remainder when o(-9) is divided by 170.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 2*r. Suppose m + 4*y = -0*y + 38, r = 5*m + 2*y - 154. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = x - 2*k - 38, -4*k - 96 = -4*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 72. What is the third derivative of -44*c - 16*c**l - 15*c**4 + 4*c**2 + 42*c + 75*c**4 wrt c?\nAnswer: 1440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1093 + -1078. Solve -z*q + 14*q = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90904, -363612, -818110, -1454386, -2272428, -3272224, -4453762, -5817030?\nAnswer: -7362016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -0*z - 4*z. Suppose -3*t + z = -2*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**3 + 0*g + g + 2*g**3)*(4*g - 31*g - 45*g - 1) to w*g + s*g**4 + v*g**3 + n*g**2 + x and give s.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -722 by -14276.\nAnswer: 361\/7138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162666 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -4*a + 4*b - 288, -3*b = 4*a + 168. Let u be (2*1 + a\/30)*4. Suppose -f + 4*o = -12, 5*f - 18 = 2*o - 3*o. Solve -u*d + f = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1546 - 1537. Suppose -5*h - 16 = -46. What is the remainder when r is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b + 44. Calculate the remainder when 45 is divided by y(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -6, -62, -136, -216?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 - 18310038*v - 27938124296787 = 0 for v.\nAnswer: -3051673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24927126 by -14.\nAnswer: 1780509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**6\/30 - 11*q**4\/6 - 16*q. What is the third derivative of y(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 4)\/(-3) + 0. Suppose m = 5*m - 5*x - 49, m + 4*x = 7. Suppose -65 = -2*g - m. Solve q = -5*f + 3*q - g, y*q = -5*f - 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + sqrt(1152)*-1 - -5*6*(sqrt(8) - ((-4 + -2 + sqrt(8))**2 + sqrt(8))))*-1.\nAnswer: -696*sqrt(2) + 1318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m. Let h = -42\/11 + 95\/22. Let i(t) be the second derivative of 0*t**3 + 0*t**2 + t - h*t**4 + 0. Give i(p(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122, 267, 458, 719, 1074, 1547?\n\"Answer: 4*k**3 - k**2 + 120*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81135 + 81140. Let b = 2 - 1.9. Sort 4\/7, b, x in decreasing order.\nAnswer: x, 4\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/6 - -2)\/(6\/(-18)). Let t = -3\/19 + 71\/209. Is t != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -5*z - 57, -12*z = -13*z - 3 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and 22?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i + 5 = 0. Let n(v) = -v - 5. Let f be n(-7). Calculate the greatest common factor of i and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 1 - 2*x)*(0*x + 4*x - 2*x) - 4*x**2 + 7 - 7 in the form p*x**2 + j + q*x and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 827134 and 4323?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -24120 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -307*p**2 - 1. Let n be l(-1). Let a = -200 - n. Let q = -372 - -392. Calculate the smallest common multiple of q and a.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -871 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -0.1, -24, 5, 0.4, 2.75?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*g - 160*g = 6, 3*y + 4*g = -3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -263063484*n**4 - 10839*n + 12650?\nAnswer: -3156761808*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24141 is divided by 40.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94 - -93.9999951. Round i to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u**3 + 127*u**2 - 13*u + 425. What is f(18)?\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.08105 kilometers in centimeters?\nAnswer: 408105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 126 + 63. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3 - -1) + (-57 - -71) + 5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/(c\/c**(-8)*c))*c))\/(c*(c*((c*c\/(c\/(c\/c**(-1\/4))))\/c)\/c*c)\/c)*(c*c**(-2\/23)\/c)\/(c**(1\/4)\/c))**(-16\/5) assuming c is positive.\nAnswer: c**(4632\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65416 = -45394*y + 47318*y for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 1bf?\nAnswer: 1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*p + p**3 + 294*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1857b (base 13) to base 8\nAnswer: -133754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15903 and 8775.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 - 5*c**2 + 2*c**2. Let x be (-2)\/15 - 152\/(-15). Let j(v) = 7*v + 5. Let r(k) = -3*k - 2. Let a(i) = x*r(i) + 4*j(i). Give a(b(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1081155.59549482 - -1\nAnswer: 1081156.59549482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c - 3?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8582921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 5646 = 14646. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227209 is divided by 794.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.61 + 49.1?\nAnswer: 55.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -0.5, 1\/7, -377\/3, -8 in ascending order.\nAnswer: -377\/3, -8, -0.5, 2\/19, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.32574 from 0.06.\nAnswer: -0.26574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96336 and 948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1433 (base 6) to base 13.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + ((-4*1*sqrt(65))\/sqrt(5) - (sqrt(13) + sqrt(39)\/sqrt(3) + 2 + 3))).\nAnswer: 42 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 1039974\nAnswer: -7279818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*i = -614*i - 6519 for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1456)\/(-448))\/(1\/4). Suppose x*f + 16597 = 64580. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d + 5620. Let t = -2051 + 5991. Let q = t + d. Round q to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.4 - -2.4. Let z = 0.0117 - -70.4883. Let c = z - 70.6. Sort c, 5, i, -1\/11 in descending order.\nAnswer: 5, -1\/11, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35316699 - 103*s + 35316699.\nAnswer: -103*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let u(k) = k**2 - 4*k - 3. Let f be (-1)\/2 + (-11)\/(-2). Let a be u(f). Solve 5*l = -2*s - t, -5*s + a*l = 3*l + 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1114166.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbw when four letters picked without replacement from bbbbbbbbbbbbbwbbbbbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 = -c + 6, r - 38 = -3*c. Let g = c + -9. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 8:17 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4234.33 litres in millilitres?\nAnswer: 4234330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 6*o**2 - 10*o + 35. Let t be k(5). Suppose 4*v + 4 = 4*m, 3*m = 5*m - t. Solve 2*g = -3*a - 7, -v*g + 0 = -a + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-2) + 97790\/140.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -322607290*d*n + 8233*d - 1726 with respect to n.\nAnswer: -322607290*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7184675 to 1 decimal place.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3447*y - 3914*y - 1 + 8700*y in the form c*y + z and give c.\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Suppose l = -2*v + 25. Suppose -3*a = 2*x - 15, 3*x + 2*a - 18 = 12. Calculate the smallest common multiple of v and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18125845*x**5 + 37*x + 177012 wrt x.\nAnswer: -362516900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1074, -2130, -3186, -4242, -5298, -6354?\nAnswer: -7410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 20. Let q(j) = -15*j - 99. Let a(v) = -21*n(v) + 4*q(v). Suppose -8*i + 220 = -3*i. What is the remainder when i is divided by a(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 740*k**2 + 2*k + 10. Let l be c(-5). Round l to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006568606 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {u: 3, i: 4, b: 6, p: 3, f: 4}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 16*h - 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuummuujmruuuu. Give prob of picking 1 r, 2 u, and 1 m.\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*q**2 + 283*q**2 - 110*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (33045\/(-2203))\/(78\/(-4))?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -9. Is r greater than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 182*d**2 + 218*d + 3422. Calculate o(-92).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, k: 7}. Give prob of sequence nnkk.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -30293951.83 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 + 863*b**2 + 23878*b - 2.\nAnswer: -6*b + 1726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/11))**26 assuming o is positive.\nAnswer: o**(104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68198 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.17 + 16.2431. What is y rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(7\/(-2)) + 320\/(-728). Let q = s + 43\/26. Solve 0 + 0*n - q*n**2 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*35\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 118182421163958 and 2.\nAnswer: 118182421163960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -3, -2, -3, -6, -11, -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -30. Let r(z) = -z**2 + 11*z + 14. Let q be r(i). Solve -6 = -q*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 743354 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115531722589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = 689*o - 431*o + 285 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51968 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1197 + 0 - -3)\/(2\/971150). Round m to the nearest 1000000.\nAnswer: 583000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-3510)\/286)*(-4)\/(-8).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -2 - ((4 - -29) + 6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y + 3. Let p be z(-31). What is the derivative of -127 + b**2 - 130*b - 6 + p*b wrt b?\nAnswer: 2*b + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13a06 (base 12) to base 14\nAnswer: -9d8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 520 and 14?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (57 - 80 - 2*i + 60)*(8*i**2 - i**2 + 0*i**2) + i**3 - 2 + 2 in the form q + k*i**3 + o*i + u*i**2 and give u.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 6*d**2 - 6*d - 4. Let b be n(-5). Let f = -4.7 + 0.7. Let c = f - -3.9. Is b at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2291 + 5162. What is the highest common divisor of 198 and o?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-35)\/(-21)*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 4:21 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19608)\/323)\/(-6) + (-4)\/34?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50088373.\nAnswer: 50088373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -11, -51, -7 in descending order.\nAnswer: 0, -0.2, -7, -11, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-25))\/((-1)\/30). Solve 4 = -4*b + 2*l - l, -3*b + 3*l = x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + -19. Let w = 374 - 355. What is the remainder when n is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**7\/12 + 247*g**6\/60 + 1813*g**5\/40 - 6551*g**4\/24 + 760*g**3\/3 + 361*g**2 - 4*g + 644. Find m such that r(m) = 0.\nAnswer: -19, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284 and 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14102 and -1106.\nAnswer: 15596812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 10. Let a be t(9). What are the prime factors of (-3)\/((-17)\/a - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -11*p**4\/12 + 2*p**3\/3 + 15*p**2\/2 - 4*p. Let q(v) = -5*v**2 + 2*v + 7. Let r(m) = -4*n(m) + 9*q(m). Give r(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 18 + 22 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -887550*b*x + 2*b + 863250*x wrt b.\nAnswer: -887550*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159180 + 8625 = 15*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r - 10. Let w be z(9). Suppose 44 + w = 4*t. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 + 4*y**3 - 8*y**3 + 0*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259072 is divided by 209.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -9.8, -0.1, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 764*y**2 + 1177*y**2 + 119*y**2 + (1 + 2 - 5)*(y**2 - 5*y**2 + 3*y**2).\nAnswer: 2062*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -131*g**2 + 24*g + 235 wrt g?\nAnswer: -262*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hnnhhhhhhhnhnhnhhhh.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 + 28*q + 123. Let f be c(-6). Solve -19*j = -f*j - 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3 + 23*c - 2 + 6 - c**3 - 14*c + 9*c**2. Let a = -232 - -242. Give s(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*s - 5*c = 98*s + 15, -s - 4 = 2*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*d = -3*d + 4, 6 = 2*y - 3*d. Solve -5*n - 3*u + 14 = y, -2*u + 4 = -3*n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 3*q = -12. Let a = -8.9 - -9. Sort q, a, 0.5.\nAnswer: q, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823, 1644, 2467, 3292, 4119, 4948, 5779?\nAnswer: 6612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3861)\/52)\/33*(-1)\/(4*(-7)\/28)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -2*y**2 + 3*y + 281. Let k(i) = 9*i - 5. Calculate -7*f(o) - 3*k(o).\nAnswer: o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 69 (b) 1\/4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 - 18*t - 6. Suppose 0*s = -s + 7. What is the smallest common multiple of s and p(-8)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72320553 is divided by 7297.\nAnswer: 7283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11215781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 147497*i**2 - 25*i - 8. Let y be f(-8). What is y rounded to the nearest 100000?\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1554895, -1554890, -1554881, -1554868?\n\"Answer: 2*d**2 - d - 1554896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -266377, -3\/14, 1.22.\nAnswer: -266377, -3\/14, 1.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3121 or 10?\nAnswer: -3121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from dfdffddddd.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63926712 by 18.\nAnswer: -3551484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u**2. Let x(z) = -4442156*z. Determine w(x(d)).\nAnswer: -59198249785008*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13212 divided by 1.\nAnswer: -13212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220201 (base 3) in base 2?\nAnswer: 100001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uycrcgdu. Give prob of picking 2 c and 1 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -q - w + 6, 0 = q - 3*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31564, -126203, -283962, -504847, -788864?\nAnswer: -1136019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -144*j + 2015. Let m be b(14). Let u = -50.886 + -0.114. Which is bigger: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28314 and 6509074?\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18820 greater than 18830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 3*p + 29. Let l be v(-4). Let c be (-3 - 205\/l)\/(4\/6). What is the highest common divisor of c and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 70?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 959, 2141, 3787, 5891, 8447?\nAnswer: 11449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476\/621 - 4 - (-16)\/(-216)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, 2, -0.3, 2.42 in increasing order.\nAnswer: -0.3, 3\/11, 2, 2.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -41. Suppose -4*v = -v - y. Suppose -v*p + 296 = -p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = -19*v + 602 + 78 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*o + 8 - 458 = 0. Factor 0 + 0*a - 4\/9*a**o - 20\/9*a**3 - 16\/9*a**4 - 8\/9*a**2.\nAnswer: -4*a**2*(a + 1)**2*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.584264281 * 0.2.\nAnswer: -0.1168528562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -49\/270?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*m + 184*m = -1698 - 6336 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11340 by 27.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 393102 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 4*h**2 - 2*h - 1. Let r be p(3). Let v(q) = 5*q. Let s(w) = 5*w - 1. Let d(b) = 3*s(b) - 2*v(b). Is d(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989009301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -35*p + 2166. What is o(9)?\nAnswer: 1851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 7*x + 6. Suppose -32 = -4*f - 8. Let q be d(f). Let m = q + -8. Solve 6*c = 2*c - m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t + 77. Let c be q(-18). Suppose c*w = 95 + 1925. List the prime factors of w.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221212002100 + 120?\nAnswer: -221212001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 1:44 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11312545 (base 6) to base 15\nAnswer: 6e3c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/((-150)\/70).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1017 and 4746.\nAnswer: 14238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60928, -121834, -182714, -243568, -304396, -365198, -425974?\n\"Answer: 13*s**2 - 60945*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, -118614, -5, 2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {m: 1, x: 2, a: 2, f: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -65*b**5 + 1364*b**4 - 10213*b**3 + 33682*b**2 - 45216*b + 12960 = 0.\nAnswer: 5\/13, 18\/5, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 0)*(-x**2 + 0*x**2 - x**2) - 760*x - 30*x**2 + 760*x + 1 as y*x + c + j*x**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/324 and 125\/18.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 0. Let c = -7097\/15 + 473. Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0835, -5, -3, 1\/11, -37\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 24 = 6*l. Determine n so that 13*n**3 - l*n - 8*n**3 + 11*n + 10*n**3 + 20*n**2 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25041954*j**3 + 54527641*j wrt j.\nAnswer: -150251724*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1302813 and -29981829.\nAnswer: -28679016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2139679011 - 0.3.\nAnswer: -2139679011.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -28b0 (base 13) to base 14\nAnswer: -2209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/198*(-86)\/50. Let s = r + -2\/25. What is the common denominator of s and -97\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.565 - -3.265. Suppose 4*s + 1 - 17 = 0. Let j be -2 + 3\/((-15)\/(-14)). Which is the biggest value? (a) s (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/189 - 20\/189. Let i = 4\/7 - w. Factor 0*v + 0 + i*v**2.\nAnswer: 2*v**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4647.6583 - -4648. Let d = 156.9583 + c. What is d rounded to 0 dps?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1406.996552 from 0.1.\nAnswer: -1406.896552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/((-9)\/(-351)). Let s = z + -49. Suppose -s*o - 2*k - k = -12, 5*o + 4*k - 25 = 0. Solve -3*b - 9 = -0*b + r, -3*r + o = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3*-2469.\nAnswer: -8147.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 49. Suppose 33 = b*w + 9. What is the greatest common factor of 60 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 2159 = 81*v + 3803 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from qwkwwqpwwqwkwwqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 746137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgmj when four letters picked without replacement from ggmjmgmmggggggmj.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieff when four letters picked without replacement from {i: 3, f: 3, e: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 54365, 54270, 54141, 53978, 53781, 53550, 53285?\n\"Answer: -17*s**2 - 44*s + 54426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m**3 - 12*m**3 + 14*m**3 + (-3 + 3 + 2*m)*(-m**2 - m**2 + m**2) - 3*m**3 + 0*m**3 + m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 5)*(125*m**4 + 72*m**4 - 74*m**4) - 5*m**4 + 132 - 132.\nAnswer: -374*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.9? (a) -3 (b) 0 (c) -3\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/2 + 105*q**4\/2 - 1427*q**3\/2 + 7095*q**2\/2 - 7488*q + 5670 = 0. Calculate q.\nAnswer: 2, 3, 7, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - 7. Let k = 5 + 18. Let h = k + j. Solve h = -i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 divided by -2?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*j = -3*l + 4, -3*j + 3 = 3*l. Let y(g) = 2*g**3 - 6*g**2 - 3*g - 50. What are the prime factors of y(l)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17545, -17547, -17549, -17551, -17553, -17555?\nAnswer: -17557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 24*s - 31*s = -88. Let q(v) be the first derivative of 0*v**s + 0*v + 0*v**3 + 0*v**4 - 9\/20*v**5 + 15 + 1\/8*v**6. Factor q(n).\nAnswer: 3*n**4*(n - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003442114 (base 5) to base 7.\nAnswer: -23062315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119857 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92306 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*10*11262\/75080.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20642 (base 8) to base 3\nAnswer: -102210220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21011 + 1010212?\nAnswer: 212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63459 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5619 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: Let v be (-4)\/(1 + 3) + 563. Suppose 4*q = -4*b + 5*b - v, -2237 = -4*b + 5*q. Let l = b - 307. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/4 - 5*x**3\/3 - 3*x**2\/2 - 5*x - 1. Suppose -5*n + 15 = 0, -2*k - n = k + 12. Is a(k) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -115, -216, -299, -364, -411?\n\"Answer: 9*j**2 - 128*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 5:11 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/60 + 5*q**2. Let r(s) = -8*s**2. Let i = -1291 + 1285. Determine i*v(w) + r(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**4\/12 + n**3\/6 + n**2. Is l(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 43. Suppose 0 = 5*l - 5*k + 4*k - 43, l = -2*k + 13. Let s be a(l). Suppose 4*q + q + 1 = -g, 5*q - 5*g + s = 0. Which is smaller: q or -4\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163954 by 81977.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 167. Suppose t - 76 = b. Let f = t + -89. Does 33 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-20)\/(-72)*3\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + 905 + -921\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3125*i**2 + 232*i + 458. Is j(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544546061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 69540*x + 417229. What is u(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (3 - -1 - 19) + -6 + 12\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*p - 13 = 0, -2*g + 2*p = -3*p + 11. Let o be -190005 + 0 + 3 + g. Round o to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/(-2)*(-12)\/8.\nAnswer: 3","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 aiiiiiiai?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 minus 0.25?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3399 - -7292. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(704))**2 - sqrt(704)*6.\nAnswer: -32*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -0.6, -3, -4\/7, 6\/55.\nAnswer: -13, -3, -0.6, -4\/7, 6\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42230 = -24*y - 42542 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (31 - 24)) + 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 125*v + 120*v + 42, 5*r - 4*v + 41 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 - -129. Suppose 2*h - 2 = h. Does d = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -577, -556, -545, -550, -577, -632?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/392132 and 99\/524?\nAnswer: 51369292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -57 (b) -0.14 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(38)\/sqrt(2) + (sqrt(19) - 6*sqrt(76)\/sqrt(4)) + sqrt(19))*-3)**2 - (-3 + ((sqrt(171) + (-1*sqrt(171) - sqrt(171)))*-6)\/sqrt(9)).\nAnswer: 156*sqrt(19) + 1623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222102212100 (base 3) to base 10.\nAnswer: -1051848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12102012011 (base 3) to base 6.\nAnswer: 2141221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**6 + 771*l**4 - 5*l**3 + 7*l**2 - 6875*l + 1 wrt l.\nAnswer: 240*l**3 + 18504*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*o + 6, o + p + 27 = 30. Suppose 2*w - 3924 = -o*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765 = 38*y + 16*y - 3*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 13*x**2 + 16*x + 24. Let l be i(-14). Suppose 3*u + 18 = 5*f - 10*f, -3*f - 12 = 3*u. Sort f, l, 1 in increasing order.\nAnswer: l, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.3 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110100011000 - 11?\nAnswer: 1100110100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -882, -700, -422, -48, 422, 988, 1650?\n\"Answer: 48*c**2 + 38*c - 968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 6*p - 6. Let r be 1\/2*4*2. Calculate i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 321, 117, 1 in decreasing order.\nAnswer: 321, 117, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 291 + 3*a**2 - 654 - 2*a**2.\nAnswer: a**2 - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {g: 1, u: 2, h: 4, e: 3, o: 6}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 297, -215, 224 in decreasing order.\nAnswer: 297, 224, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 301298.4 milligrams in micrograms?\nAnswer: 301298400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(15\/7)\/(((b**(-14)*b)\/b)\/b)*(b**(-3\/2))**(-31) assuming b is positive.\nAnswer: b**(891\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/3, -0.3, 9\/2, 1\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -77\/4*l**4 + 0*l**2 + 0*l**3 - 23*l - 36. Differentiate z(i) wrt i.\nAnswer: -231*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31651*l**3*m**4 + 565*l**3*m - 3*l**3 - l**2 - 17279*l - 24 wrt m.\nAnswer: 126604*l**3*m**3 + 565*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6006 and 412230?\nAnswer: 4534530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*n + y - 22, 2*y = 5*n - 62. Suppose 0 = 2*m - 18 + n. Solve 3*c**m + 2*c - 3*c + 7 - 9 + 6*c = 0 for c.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627 + 1967 = w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -49*c - 58. Let r be t(-18). Suppose -26*w + 18*w = -r. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -91, -147, -203?\n\"Answer: -56*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1534574 - -0.013?\nAnswer: 0.1664574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35, -1\/3, 25, -4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5547, 5545, 5543, 5541, 5539, 5537?\n\"Answer: -2*v + 5549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5706 is divided by 764.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 1907551662?\nAnswer: -1907551661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 4*f - 3. Suppose -4*d = -6 - 2. Let y(l) = -l**2 - 2*l. Let v be y(0). Let p be -2 - v*(-1)\/d. Determine z(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6)*r**6)**(-45) assuming r is positive.\nAnswer: r**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8853, 15198, 21543, 27888, 34233?\n\"Answer: 6345*t + 2508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 16*z**2 + 206*z + 4. Let o(k) = -k**3 + 56*k**2 + 618*k + 14. Determine 7*h(r) - 2*o(r).\nAnswer: 2*r**3 + 206*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 3) + (-2)\/(-1). Suppose -j*w + 38 + 6 = 0. What is the remainder when w is divided by -5 - (46\/(-69))\/(2\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2067724656 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 350806190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*y + 3006 - 2976 = 0, o = 5*o + 7*y + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -29 - 8 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b**2 - 12*b**3 - 15*b**2.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*l - 1588 - 1322 = 56*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 38891330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3004802990 to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5760) + (sqrt(5760) - 1*sqrt(5760)*4) - 1*sqrt(5760)*1)\/((-5*sqrt(80) - sqrt(80))\/sqrt(10) - sqrt(16)\/(sqrt(2)*-4)))**2.\nAnswer: 103680\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 787625363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 637*z**3 - 638*z**3 + 7275 + 186*z - 186*z + 20*z - 20*z - 5*z**3 + (-2 + 3 - 3)*(-4*z**2 + 4*z**2 + z**3) as d*z**3 + s*z + w + u*z**2 and give w.\nAnswer: 7275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*q - 366*q + 680*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 4. Let n(h) = h**2 - 9*h + 8. Let f be n(8). Let p be y(f). Sort p, 5, 1.\nAnswer: 1, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101.76 + -101.9. Put 1\/5, 0, k, -1 in increasing order.\nAnswer: -1, k, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 47*f - 32. Calculate o(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/2 + 3*o**4 - o**3\/2 - 12*o**2 - 8*o.\nAnswer: -o*(o - 4)**2*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/250*28\/(-10).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10586791 in -0.2, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36388 is divided by 200.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315 divided by 7.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2439*k + 79579 + 47249 = 0 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 213*t + 362. Let z be l(-2). Let j(i) = i**3 + 3*i**2 + 3*i + 4. Let r be j(-5). Let s = z - r. What is the second smallest value in s, -4, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/5, 1, 700?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4\/9 + 11*i**3 + 139*i**2\/3 + 544*i\/9 + 20 = 0?\nAnswer: -45, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/168)\/(-5))\/(215 + -214).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + q**2 + 78. Let z be m(0). Let f(p) = -6*p**2 - 3*p + 5. Let y be f(1). What is the closest to z in 1\/3, -3\/8, y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (4 + -1*sqrt(425)) - (sqrt(425) - (sqrt(425) + 2)*6))**2 + 1 - -6*((sqrt(425) + -2)*3 - (-5 + (sqrt(425) - 1*sqrt(425))))**2.\nAnswer: 380*sqrt(17) + 43846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2*(-3)\/24). Let d = c - -6. Determine f so that -1\/3*f**d + 0*f + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, 55, 153, 241, 313, 363, 385?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 559326.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6366 divided by 3\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/77, -2.6, -4\/28507?\nAnswer: -4\/28507","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**3 + 11*n**2 - 2*n - 2. Let a(h) = 5*h**3 + 24*h**2 - 5*h - 6. Let o(l) = 3*a(l) - 7*d(l). Determine o(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 6 + (-5 + 4 + 0)*(3 - 2 - 3) - 5 - 3 + 5 - 6 + 0 + 2)*(1 - 7*j - 1) to the form q*j + w and give q.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:43 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 - -325. Let o = x + -238. Which is the third biggest value? (a) o (b) -5 (c) 2\/13 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - u + 12 = 0, -2*j - u + 3*u = 0. Let t = -16 + 8. Sort j, 4, t in descending order.\nAnswer: 4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/77 (b) 4 (c) 1 (d) 0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463266.\nAnswer: 2, 13, 17, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 760*k + 20545 - 1545 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 78, 51, 6, -63, -162, -297?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**4 + 8*a**3 + 122*a**2 - 1522*a - 8 wrt a?\nAnswer: -96*a**2 + 48*a + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(3))**2 + -2 - ((sqrt(18)\/sqrt(2))\/sqrt(3) + -6*sqrt(12))**2.\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 9*a - 12*a + 3*a to the form g + h*a and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 267832 from 7.\nAnswer: -267825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 601931917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 99 - 102, -3*i = -y - 2. Let b(j) = 9*j**3 + 4. Let k(r) = 1. Determine y*b(g) - 3*k(g).\nAnswer: 9*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3\/2 - 3807*z**2\/2 - 3625215*z\/2 - 3621409\/2 = 0.\nAnswer: -1903, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480968.\nAnswer: 2, 3, 67, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 142 = -66*r + 5*m + 189, -r = -5*m + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173743 + 382052. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.7 + -14.8. Let y = 0.357 - 0.157. What is the nearest to -1 in i, 1\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2960*b**3*p - 3*b**3 + b**2*p + 6*b*p - b - 13*p + 25 wrt b.\nAnswer: 17760*b*p - 18*b + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*h = 3*w + 45, -5*w - 2*h - 45 = 0. Let s(b) = b - 19. Suppose -z = -0*z + y - 12, 0 = -2*y + 2. Let g be s(z). Is w smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*h**5 - 7*h + 2*h**5 + 0*h**5 wrt h?\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6*6\/9. Let f = 0 - v. Is 0.4 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 131, 270, 411, 554?\n\"Answer: l**2 + 136*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erovvrreeq. What is prob of picking 2 e and 1 q?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by 13?\nAnswer: 83\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 14 = -4*h, -46*r - 5*h + 19 = -48*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 14\nAnswer: -17\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3212 divided by -216\nAnswer: -803\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 2, t: 4}. What is prob of picking 2 j and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 304971, 304957, 304933, 304899?\n\"Answer: -5*l**2 + l + 304975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 26*c**3 - 2*c**2 - 5*c - 20. Is p(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59065 is divided by 139.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001549328 to 6 decimal places.\nAnswer: 0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1251 - 1246. Suppose 4*o = -3*g + 24, 29*o + g = 32*o - c. Suppose -5*z - 24 = -79. Solve z - o = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1201, 4237, 9053, 15655, 24049, 34241, 46237, 60043?\nAnswer: 75665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29268 is divided by 731?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28243981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 0)\/(-1) - -50. Let m = a - 117. Is -131\/2 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*c - 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -240.835 + 240. What is l rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f. Let i be v(-1). Suppose 376 = 96*q - 200. Put 1, i, q, 2 in descending order.\nAnswer: q, i, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3607 - 0.3817. Put -4, q, 2\/9 in descending order.\nAnswer: 2\/9, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56872645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.817187 + -537351.817187. Let u = -537387.99528 - y. Let n = u + 37. Round n to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/24 - (-8)\/(-64).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462 = 4*g + 3*w + 443, -4*w = 2*g - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18627, 16703, 13501, 9021, 3263?\n\"Answer: -639*y**2 - 7*y + 19273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3066, 30224, 103926, 247440, 484034, 836976, 1329534?\n\"Answer: 3878*q**3 + 4*q**2 - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c - 5. Let b be d(-3). Suppose -11*l = -b*l. Suppose -3*x = -l*x - 162. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199 + -198.9. Which is the closest to s? (a) -1\/6 (b) 1.7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8193 = -44*q + 49*q, 2*t - 2*q - 8208 = 0. What is the lowest common multiple of 3 and t?\nAnswer: 12327","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -69*q**3 - 4*q - 13 - 8 + 19 - 12. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.98421 centuries in decades?\nAnswer: 59.8421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 times 1?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4295185*g**2 - 31*g + 124243278.\nAnswer: 8590370*g - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**8\/13440 - n**7\/2520 + n**4\/3 + 6*n. Let g(x) be the third derivative of v(x). Factor g(d).\nAnswer: -d**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -265, -5, -4 in decreasing order.\nAnswer: -4, -5, -6, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + 12 + (-5 - (-1 + 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -83, -145, -227, -329, -451, -593?\n\"Answer: -10*h**2 - 12*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -226000956, -452001913, -678002870, -904003827, -1130004784?\n\"Answer: -226000957*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -1 + 520\/(-26). What is the remainder when 77 is divided by (-76)\/l - 3 - 52\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1197 = 4*l - l. Let f be (-2 - (-705)\/l)\/1. Let m = -1\/19 + f. Which is the second smallest value? (a) -0.2 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12043205 (base 6) to base 10.\nAnswer: 379157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -249703922671 and 0.\nAnswer: -249703922671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -31, 3, -5, 17, -4 in descending order.\nAnswer: 17, 5, 3, -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1615 - -795. Does 31 divide (5\/(100\/(-36)))\/(6\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-9))\/(2\/18). Let d be (4 - 0)\/(2\/1*1). Solve f*w + 11 = w + 3*p, d*p = 2*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/34232 and 77\/76.\nAnswer: 650408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -255*g + 82872. Calculate d(325).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13056 (base 7) to base 6\nAnswer: 24023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12846 * -4\nAnswer: -51384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {e: 2, f: 2, n: 1, u: 1, k: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6 - 6. Suppose -6*c + 0*c + 12 = o. Let h be ((-24)\/16)\/(1\/(-2)). Solve -h*b - 20 = -4*z + b, -z + c*b + 9 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -5 + -1 - -9. Suppose 4*z = -2*s - 12, -2*s = z - 3*z - 18. Let j = z + p. Let y(w) = w - 1. Let c(l) = 3*l - 4. Calculate j*c(r) - 2*y(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014507463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/22 - 477\/(-99). Suppose -9*h = -m*h + 2680. What is h rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1269\/7 + 181. Is o less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 28. Let p be (5\/10)\/(m\/(-52)). Let o = p - -21. Calculate the lowest common multiple of 14 and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -184\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158373565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5\/5 + 2854*i**4\/5 + 45984*i**3\/5 + 276544*i**2\/5 + 738304*i\/5 + 738816\/5.\nAnswer: -2*(i - 1443)*(i + 4)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(54\/40)*3\/2. Is (4\/r)\/(7\/7175) - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*j - 564, -8*a + 5*j + 1118 = 3*j. Solve 18*r + 10*r - a = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/3))\/i)**(-2\/35)\/(i\/i**(-10)*i*i\/(i*i**(2\/9)*i)*i) assuming i is positive.\nAnswer: i**(-3704\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - c**2 + 3*c. Suppose 0 = 3*d + 2*m - 10, -9*d - 5*m - 51 + 79 = 0. What is r(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -891*c**2 + 281*c**2 + 302*c**2 + 304*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -278762800 to the nearest one hundred thousand.\nAnswer: -278800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.3. What is the second biggest value in i, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1704 and 75361388.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:14 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**2 - v. Let n(c) = -17*c**2 + 2*c + 1. Calculate -7*l(o) - 3*n(o).\nAnswer: -5*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -30*z**2 + 3. Let x(s) = -59*s**2 + 5. Let i(w) = -5*o(w) + 3*x(w). Let n(y) = -2*y**2. Calculate n(i(c)).\nAnswer: -1458*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-276) - 1222\/(-598). Let d(j) be the second derivative of -7\/2*j**4 - 17\/6*j**3 - 35*j + 0*j**k + 0. Find the second derivative of d(l) wrt l.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.9 - 32. Let y = 7 - 12. Let q = y + x. What is the nearest to 1\/4 in 0.5, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -31*q - 24*q + 24*q. Let i(m) = -m**2 + 22. What is i(q)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 31 = 77. Suppose 5*d = 3*m - a, -3*d + 108 = 3*m - 2*d. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 663894*g**3 + 1558*g**2 + 45*g + 1 wrt g?\nAnswer: 3983364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y**3 - y - 5. Let o(w) = 4*w**3 + 2*w**2 - 4*w + 3. Let s be o(1). Let q(m) = -22*m**3 - 2*m - 12. Determine s*q(x) - 12*r(x).\nAnswer: -2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -5, -70 in decreasing order.\nAnswer: -5, -26, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 - 416 = -99*d + 174 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*d)*(-8 - 1 - 95*d + 92*d).\nAnswer: 6*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -0*i + 192. Let y(x) = x**3 + 24*x**2 - 2*x - 44. Let z be y(i). Solve -2*j = -z, -2*f - 2*f = -j + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.01, 2\/187, -1.87, 0.4, 1\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 71*l - 992. Determine b(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 68\/1054 + (-552)\/(-93)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/15, 1\/6, 2, 1\/2, 11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 27*d**3 + 5*d**2\/2 - 7*d + 12. Let o be j(2). Let p = o - 7165\/22. What is the common denominator of p and -29\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-50)\/(-125) + 43\/5. Suppose 7*s + 28 = w*s. Suppose 3*t = 242 - s. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.18 (c) 4\/5 (d) -0.17 (e) -1.8 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**3 - r**2 + 7*r + 5. Let v be -2*(-1 - (-2)\/(-4) - 1). Let k(p) = -4*p**3 + p**2 - 4*p - 3. Give v*k(n) + 3*s(n).\nAnswer: n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(sqrt(832) + -1)*-6 + -1)**2.\nAnswer: -36096*sqrt(13) + 1919137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = -3*b, 1 - 12 = -4*b + 5*p. Let o(l) be the third derivative of l**3\/6 + l**2. Let g(n) = 8 + 1 - 6 + 7 - 2 + n**2. What is b*g(y) + 6*o(y)?\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 46. Suppose 2*p - 4*z = 16, -5*z + 57 - 77 = -2*p. Solve -4*r + 5*j + 11 = 0, 0 = -5*r - k*j - p*j - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0*g + 0 - 8*g**2 + 0*g**3 + 1\/24*g**4 + 1\/12*g**5. Find the second derivative of f(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(sqrt(44)\/(sqrt(1584) - sqrt(1584)*-3 - sqrt(1584)))\/(sqrt(54)\/sqrt(3) + sqrt(2) + (sqrt(2) - (sqrt(2)*1*-2 - sqrt(2)) - sqrt(2)))*-3.\nAnswer: sqrt(2)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r. Let l = -29 + 29. Let s(m) be the third derivative of 0*m - m**2 + 0*m**3 + 1\/30*m**5 + 0 + l*m**4. What is s(z(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.1 - -0.1. Put v, 2, -2\/13, 3 in descending order.\nAnswer: 3, 2, -2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 b when three letters picked without replacement from {f: 3, s: 2, b: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1785, -3436, -5091, -6750, -8413?\n\"Answer: -2*u**2 - 1645*u - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.45 + 0.05. Let k be -1 - ((-216)\/117 - -1). Sort -2, k, h in increasing order.\nAnswer: -2, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (-4 + -5 + sqrt(80)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 91*y + 2067. Let a be i(-62). Solve -3*d - 3*l = 3*l - 9, 5*d + l = -a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 10*l + 3. Let u be d(10). Suppose -39*v + 36*v + 37 = 4*z, 3*z - 21 = 0. Solve -v*p + 0*p = u*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1805, -1844, -1867, -1868, -1841, -1780?\n\"Answer: y**3 + 2*y**2 - 52*y - 1756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14a4 (base 14) to base 3\nAnswer: 12001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0, 3\/8, -6\/61 in ascending order.\nAnswer: -2\/5, -6\/61, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134914974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(13) + -2)*-2)**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2190*r**2 - 842*r**4 + 2190*r**2)*(7 - 3 - 2) + 0*r**4 + 2*r**4 + 0*r**4.\nAnswer: -1682*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 11*z + 87 = -3*q, 0 = z + 5*q + 117 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l - 2. Let v be o(-2). Suppose 4*d + 4*f + 8 = 0, 3*d + 2*f = -4 + 2. List the prime factors of 2 + v + (1 - d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 141*z - 156. Let u(y) = 5. Let x(l) = b(l) - 6*u(l). What is the hundreds digit of x(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - ((-7 - -53) + -57)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -10. Let i be 3 - (2 - 1 - w). Let o = i + -3. Do -1 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from wzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -58*f**3 + 6 - 60*f**3 + 120*f**3 - 4*f. Determine b(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-13))\/((-28392)\/(-17576)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13199, -27218, -42867, -60962, -82319, -107754, -138083, -174122?\n\"Answer: -136*a**3 + a**2 - 13070*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -4. List the prime factors of 933\/6 + 2\/m - 1.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-70)\/(-21) - 4) + 3. Let w = 0.6 + -10.6. What is the nearest to 2\/7 in w, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3027 is divided by 877?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (18 + 20 + 18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.21 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 87203050 rounded to the nearest one hundred thousand?\nAnswer: 87200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 174, 206, 240, 276, 314?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiotcoouutiittiiit. What is prob of picking 1 i and 1 t?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2766043599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 385853196 + 3\nAnswer: 385853199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -786, -5618, -18164, -42102, -81110?\nAnswer: -138866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -323301 (base 5) to base 7\nAnswer: -44202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -7.8. Let v = -0.18 + 8.18. Let x = v + k. Put 0.1, -1\/8, x in decreasing order.\nAnswer: 0.1, x, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 35 + 2 - 35.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -1847 (c) -63 (d) 4 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -645.\nAnswer: -644.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:56 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88257 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/48)\/((-9)\/(-4))*2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9240 + 5181. Let g = -4058.86018 - n. Let d = 0.14 - g. What is d rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*d**4\/8 - 2665*d**3\/8 + 434*d**2 - 245*d\/2 = 0. Calculate d.\nAnswer: 0, 70\/173, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 12. Let f(a) = 2*a + 26. Let q(p) = -p - 12. Let g(j) = -6*f(j) - 13*q(j). What is g(l(z))?\nAnswer: -3*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/12*24*3\/96.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*n - 105, -5*n = -5*b + 14 - 139. Solve -2*c - 2*c - n = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061570?\nAnswer: 2, 3, 5, 7, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31889 - 95663 + 11*c**3 + 31890 - 8*c**3 + 31884.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 10*d + 7. Suppose 0*g = -3*g + o + 3, -5 = -5*g - 5*o. Let y(l) = -l**2 - 1. Let k(c) = g*x(c) + 2*y(c). Is k(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 9. Let m be o(0). Suppose 5*t + 36 = m*t. Suppose 4*v = 3*z - t - 5, v + 13 = -4*z. Is z less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 143, 219, 335, 497?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 8\/117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + j + 3*j + (3*j - 2*j + j)*(1 + 2 - 1) - 4*j + 5*j + 0*j + 0*j + 5*j - j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-9 + 7 + 0). Let c(w) = -11 + w**2 - 175*w + 83*w + 82*w + h*w**2. Give c(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51828009 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 535*p**2*y - 290*p*y - 19*p + 3901981*y + 24 wrt p?\nAnswer: 1070*p*y - 290*y - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeedetz. What is prob of picking 1 d and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -230539*q*t + 60*q + 33269*t - 530 wrt q?\nAnswer: -230539*t + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + (-1 - (1 - 4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-5))\/(-2))\/(-58*(-46)\/300150).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2346675 + 12?\nAnswer: -2346663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-3 - (-7 - -4 - -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 7. Let p be g(-5). Suppose -3*x + 11 = -5*v - p, -3*v - 2*x = 3. Put 3, v, -7, -0.5 in descending order.\nAnswer: 3, -0.5, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:10 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.07 - 2.1424. Let g = u - -0.106. What is g rounded to 3 dps?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n + 7*n + 7*n - 46*n + 17*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-2)\/1 + 9875\/10)*(-16)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -677050400 rounded to the nearest 1000000?\nAnswer: -677000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 0*g - 9 = 0. Which is smaller: -2 or g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-444)\/42 - -10)\/1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-30))\/(2\/(-18)*-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r + 79. Let v be u(7). Is 57 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 396, 379, 352, 315, 268, 211?\n\"Answer: -5*v**2 - 2*v + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/14 - 2\/7. Let q(y) be the first derivative of -5*y**3\/3 + y**2\/2 + y - 708. Give q(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1620.\nAnswer: -1\/810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 0*t + t**4 + (2 - 3 + 3)*(10*t**2 - 8*t**2 + 3*t**4 - 4*t**2).\nAnswer: 7*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 + 1)*(5*f - 11 + 11) + 3*f - 3*f - f - 6*f + 4*f + 3*f as t*f + w and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 23*q**3 + 276*q**2 - 6*q - 10. Let w be y(-10). Calculate the greatest common divisor of 25 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-12)*(229 + -238)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 4. What is the remainder when 15 is divided by 4\/((1 - 3)\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-3)*450\/(-1875)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142 and 6216?\nAnswer: 441336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 14892, -947 in descending order.\nAnswer: 14892, 4, -1, -947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215567?\nAnswer: 11, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.4659 millilitres in litres?\nAnswer: 0.0624659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 49*s**4\/6 + 12565*s**3\/3 - 4636582*s**2\/3 + 108812932*s + 460246128 = 0.\nAnswer: -778, -4, 942\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 224*o = -230*o + 75, -3*q = 4*o - 35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o - 14. Let f be p(3). What is the first derivative of 4*x**3 + 5*x**3 + 10*x**3 - 5*x**3 + f wrt x?\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 3, m: 6, e: 2}. What is prob of picking 3 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**26*l)**26\/((l\/(l*l**22))\/(l*l**(-7\/2)\/l)))**(-1\/13) assuming l is positive.\nAnswer: l**(-1441\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1289*u + 17. Let d(m) = -424*m + 6. Determine 8*d(v) - 3*j(v).\nAnswer: 475*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + g - 2*g)*(-208 + 97 + 102) + 4 - 4 - 3*g.\nAnswer: 6*g - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/2393283 and -17\/7296?\nAnswer: 5820464256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1510290 and 33.\nAnswer: 16613190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and 67263 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -413 + 206 + 203 + 35*v + v + 2*v - 2*v + (-4 - 2*v + 4)*(3 - 6 + 2) + (6 - 4 - 1)*(0*v - 2*v + 4*v).\nAnswer: 40*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2\/2 + 73*c + 147\/2 = 0.\nAnswer: -1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 1. Let d be x(-1). Suppose -d*q - 2 = 0, -3*j + q = 2*q - 47. Suppose j = 4*z - 24. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.1. Let l = 8.11 + -8. Let m = l - 0.01. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/7)\/(4\/(-70))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -20*m**3 - m**2 - 10. Let q(i) = -21*i**3 - i**2 - 9. Let b(z) = -3*d(z) + 4*q(z). Let j(w) = 47*w**3 + 2*w**2 + 11. What is -11*b(k) - 6*j(k)?\nAnswer: -18*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (10 + 8)) + (-1836)\/(-187).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 10*y + 7. Let l be d(11). What is the common denominator of -202*(-1)\/l + 2 and 31\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbipp. Give prob of sequence ip.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14832 + -14831. Which is the closest to 1? (a) 1\/14 (b) 3 (c) 6 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0009, 0.018, -2\/7 in descending order.\nAnswer: 0.018, -0.0009, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, u: 4, f: 4}. Give prob of sequence fuu.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o - 5*a + 76, 0 = 5*a + 20. Suppose -m = -5*m - o. Find the common denominator of -23 and 2\/(m\/118) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-144)\/(-400))\/(3\/(-5))*(-70)\/84. Find m such that -v*m**2 + 2*m**3 - 1\/2*m**4 - 3*m + 0 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 61. Suppose 0 = 4*f + 4*a - m, 5*a = f - 0 + 18. Suppose -5*x + 4*g - 5 = -3, x + 3*g = 11. Calculate the remainder when f is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 1 b when three letters picked without replacement from {v: 2, l: 6, m: 2, f: 1, b: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -5*w, 2*o + 4*w = -0*w + 32. Let c be (0 + -1)\/((-2)\/42). Let l = c - 16. Calculate the greatest common factor of l and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.233676 meters?\nAnswer: 8233676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 436982 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 8604*q + 25839.\nAnswer: -3*(q - 2871)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 2*q - 6. Let a be f(4). Let z = a + -7. Let g(k) = -3*k - 10. Let d be g(z). Solve d*o + 20 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 89.\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -751a (base 15) in base 12?\nAnswer: -12407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10010110 + 10102?\nAnswer: 10020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4 = 4*x. What is the tens digit of x + 250\/(-65) + (-1660)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10793 and 17821?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3)*21\/(-7). Suppose 12*u + m = 13*u. Suppose -4*w = -3*z - 62, u*z - 36 = -3*w - 0*z. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2 = -4*q, 8*q - 64 = -2*v - 44 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1696.\nAnswer: 8480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - 4*n + 5*n + 0*n - 6*n + 5*n + 3*n + 0*n - 2*n + 0*n + 0*n - 2*n + (-3 - 3 + 7)*(-2*n + 1 - 1) - 1 - 2*n + 1 - 2 + n + 4 + n.\nAnswer: -6*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 11. Suppose 0 = -2*z + z + l. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 746908830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15919*q**2 - 33872*q wrt q.\nAnswer: 31838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -0.1 (c) -5\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -0.017160155\nAnswer: 0.10296093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -14, 5, -5 in increasing order.\nAnswer: -14, -9, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:17 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 5*g**2 - 3*g + 1. Let s be v(-4). Let n = -496405\/3 + 165469. What is the nearest to n in s, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.01 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -2 - (-10)\/(50\/15). Is m - (-4 + -1 + (-3)\/(-3)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*v + 6 = -0*v, 0 = 3*v + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 6163.\nAnswer: 32\/6163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 422580058 and 422580058 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123*z**4 + 145*z**2 wrt z?\nAnswer: -2952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 49, -12 in decreasing order.\nAnswer: 49, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520367 to the power of 1\/2, to the nearest integer?\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-70)\/(-385))\/((-2)\/44)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15576 + 5969 - 21393 = -3339*z + 9068 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*h + 18, -2*h = 50*w - 55*w - 4. Find the second derivative of 12*x**3 + 282*x**4 - 212*x - 19*x**3 + h*x**3 wrt x.\nAnswer: 3384*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t - 18*t + 273 - 171 - 29*t. What is the tens digit of f(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/194*1)\/(429\/(-269412)*157).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let t be i(4). Let x be (-2)\/(12\/(-30))*3\/(-5). Let v = x + t. Let m(z) = -2*z**2 + 3*z + 1. Let a(p) = p. Calculate v*a(u) - m(u).\nAnswer: 2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 106479239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 45. Suppose 21*g = p*g + 1116. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 7*d - 2*d - 148, -3*i = -d - 524. What are the prime factors of i?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 5379843.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 599*r**7\/105 - r**5\/60 + 65*r**4\/6 + 2*r**2 - 163*r. What is the third derivative of m(l) wrt l?\nAnswer: 28752*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1770851*k**4 - 11*k**2 - 48696*k wrt k.\nAnswer: 42500424*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*(145 + -157).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 - -158. Which is the second smallest value? (a) 4 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -0.1 (c) -0.3 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -339, -472?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -768 divided by 88.\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*j + 3*j + 28 + 8*j**4 - 28 wrt j?\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Suppose n*w + 5 = -z, 0*w = 3*z - 4*w - 4. Let s(p) = p**3 - p**2 + p. Let j be s(z). Does 1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -2*r**3 - 656. Let c(m) = 4*m + 1. Let d(s) = s - 1. Let q(g) = -2*c(g) - 2*d(g). Calculate q(t(p)).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3*s - 6*s)*(0*s**3 + 2*s**3 - s**3) + 2 - 3*s**4 - 2 + 0*s**4 + s**4 - 2*s**4 + (1 + 3 - 2)*(-1 + 1 + 4*s**4).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000000011001110111101 + -1?\nAnswer: 10000000000011001110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 307 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 19 + 4. Let m be (-4044008)\/12 + (1 - 1\/x). What is m rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -512455 * 1.27.\nAnswer: -650817.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10344980 is divided by 1226.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-18\/7)\/(v\/((v*v**(2\/27)*v)\/v))*v**15\/v**22 assuming v is positive.\nAnswer: v**(-1795\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39190 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(1 - 5 + 1)*(-2 + 1 - 1)*(-3*i + 2*i**2 + 3*i) + 11*i**2 + 0*i**2 + 0*i**2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.31052 to 2 decimal places.\nAnswer: 39.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 44522114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (63\/(-12) + 5)*-68. Let b = 133 + r. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t + 12. Let z(r) = 19*r**2 + 10*r - 5. Let c(i) = -6*i**2 - 3*i + 2. Let l(b) = -7*c(b) - 2*z(b). Is l(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.077 - 1.177. What is the closest to 0 in 39, 2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 89*b + 46. What is the lowest common multiple of d(1) and 55?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 52*u**2 + 403*u. Let x(f) = -f. Calculate x(z(d)).\nAnswer: -52*d**2 - 403*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 25\/(-5) + (14 - -18).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:24 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s - 37*s = 7*s + 565. Put -2, s, 1, -112 in decreasing order.\nAnswer: 1, -2, s, -112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 10. Let p be n(-10). Suppose p = g + 4*g - 55. Let j = 25 - g. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7192929 decades to years.\nAnswer: 7.192929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5754\/187 or 1?\nAnswer: 5754\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73 - -3 - (-41 - (-5 - 50))) + (1 - 6).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(5\/(-5)))\/(36\/(-36))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.9861 to two dps.\nAnswer: 6.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2 + 0 - 3*k)*(-4*k - k + 0*k).\nAnswer: 15*k**2 - 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/28*-4)\/(3\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -16.923. Let x = -0.577 + a. Let b be 28\/(-7) + (-3)\/(-15)*21. What is the biggest value in -2\/9, x, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 39 + 36 - 18*t - 97.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = m - s, -2*s = 4*m - 221 - 365. Let f = 186 - m. Calculate the remainder when f is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsb when three letters picked without replacement from ssbsssiksbssbskkbs?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-7 - (-8 - (-2 - 1))). Let x(z) = -z**3 + 16*z**2 + 9*z + 9. Let g be x(14). What is the highest common divisor of g and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1399, -5, -12, -2, 11.\nAnswer: -12, -5, -2, 11, 1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 17*d + 5\/2*d**2 + 0 + 1\/2*d**6 + 0*d**3 + 0*d**4 + 0*d**5. Differentiate g(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -22. What is the least common multiple of q and (-4 - -5)\/((-1)\/(-5))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or -1\/696?\nAnswer: -1\/696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 34*d + 30. Let x be z(14). Let p be (-1)\/(8\/x) + 14\/56. Calculate the remainder when (21\/p)\/(1\/(-153)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(1\/7)\/x)*(x**(-3\/7)*x*x)\/x*x**(1\/8)*x\/x**(-1\/3))**(4\/11) assuming x is positive.\nAnswer: x**(653\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*((-6)\/(-5) - 2). Let o(x) = 4*x**3 - 6*x**2 - 11*x + 26. Let y be o(2). List the prime factors of -3*p\/y*-17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*k**2*x - 181*d*k**2 - 21*d*k*x + 48*k**2*x - 1 wrt x?\nAnswer: -d*k**2 - 21*d*k + 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162224*p**6 - 1292*p**4 - 329489627*p**2 wrt p.\nAnswer: -19466880*p**3 - 31008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (3 - (4 - (-5 + 1)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -54*q**2. Let w be g(1). Let m = w - -273. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -175*d + 94?\nAnswer: -175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 0.2471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18988720 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 66. Is 4\/(3 - (-109)\/i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 20*d**2 + 5*d + 94. Calculate i(-20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.017 and -171.7.\nAnswer: -171.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5875 - -5879. What is the closest to -1 in 0.21, -5, u?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 86822 = -159*u + 153*u, -2*i + 34751 = -5*u. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43948 + -97?\nAnswer: -43a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9*(-15)\/10*10\/(-15).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 74*s**2 - 3*s - 1\/3*s**4 - 24*s**3 + 23. Factor j(l).\nAnswer: -4*(l - 1)*(l + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -7.5. Let s = -16.7 - 1.8. Let q = 18.3 + s. What is the third biggest value in -1, g, 2\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 79 - 49 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00113897028 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17910848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 2, l: 1}. Give prob of picking 1 m and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124023 = -104*s - 121631 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 = -6. Let l be (2\/(-4))\/(r\/12). Suppose -l*u - 4 + 10 = 0. Solve -3*z - u*n = 4, -4*n + 3*n = 4*z + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 187394.90127?\nAnswer: 187394.50127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 1 (c) -0.08 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 + 9\/2. Sort 3, a, 0 in descending order.\nAnswer: a, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:41 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -478, -693, -896, -1087?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26497.5 years in centuries?\nAnswer: 264.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -43. Let i(m) = 5*m - 6. Give i(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*g = 56 + 32 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(9)\/sqrt(3)) - (-2 + sqrt(3) + -1))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 253866 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170532410, 170532408, 170532406, 170532404, 170532402, 170532400?\nAnswer: 170532398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 25*w. Let z(i) = -151 + 271 - 120 - 24*i. Calculate -3*y(d) - 4*z(d).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 0.046, 3, -828?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**8)**6 assuming m is positive.\nAnswer: m**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 7. Is b(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 + 176 + (-1 - (9 + -6)) + -1 + -116.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 620, 5595, 19580, 47225, 93180?\n\"Answer: 775*x**3 - 145*x**2 - 15*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 8*v**2 + 7*v + 6. Let t be r(-7). Let s be 3 + t - (2 + -5). Suppose -4*c = -2*c - s. Solve 0 = -2*w + 2*y + c, -w = 4*w - y - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147166 is divided by 67?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -11, 3, 5, 6, 2.\nAnswer: -11, 2, 3, 5, 6, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1058 = -0*a. Let w = a - -454. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18693 and 1025703.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 89*l - 68. Is a(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9867707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234 a factor of 2226660450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/5 - (-16)\/10. Suppose 4*z - 2*r = -22, -4*z + x*r = 6*r + 4. Let d = -4 - z. Solve -4*t - t = d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 144 + 7777*u + 7766*u - 15561*u in the form o + f*u**2 + t*u and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*v + 3*b - 14, 5*b + 10 = 2*v. Suppose z = -v*a + 326, -z + 2*z + 202 = 3*a. Is a a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from ttth.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 485349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 11. Calculate n(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8*-1 + (191131900\/(-75))\/((-20)\/15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of (-1141)\/(-2)*(-52)\/(-91)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2923482 to the power of 1\/2, to the nearest integer?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 13 = 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6106157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 1\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -20*w + 5. Let q(c) = -24*c + 29. Let i(k) = 25*k - 34. Let t(l) = 5*i(l) + 6*q(l). Determine 6*n(d) - 7*t(d).\nAnswer: 13*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4778237, -4778233, -4778225, -4778213, -4778197?\nAnswer: -4778177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 105294 = -271691. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 13*d - 9 - 10*d - 9*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -314.5 + 312.5. Which is the nearest to 3\/2? (a) -3 (b) -0.2 (c) t (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 835631*f*i**2 + 234767*i**2 wrt f?\nAnswer: 835631*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 5*y + 24, -25 = -5*y. Let u be (r + -5 + 3)*(-12 - 3). What is the greatest common divisor of u and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -23. Suppose 4*f - 3676 = -p*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:22 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2733*j**2 - 2 - 4*j - 8*j + 4113*j**2 + 11*j.\nAnswer: 6846*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -716*z + 2*z**3 + 58 + 1017*z + 3*z**2 - 59 in the form q*z**3 + y + l*z**2 + f*z and give f.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: (30\/285)\/((-1365)\/(-37050))\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -5 (b) 5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 3*z**2 + 14*z + 2. Let k be o(-6). Suppose k*p = 18*p + 208. What is the smallest common multiple of 2 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 126741\/47 or 2698?\nAnswer: 2698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -147, -142?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3769*p + 203553. What is o(-54)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 7) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -340950 + -4?\nAnswer: -340954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1385 * -559\nAnswer: 774215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**2 + 155656*f - 11806752 = 0?\nAnswer: 76, 38838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8853661.8 nanoseconds?\nAnswer: 0.0000001024729375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6310947 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: Solve -563 = 22*v - 453 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31576, 63169, 94782, 126421, 158092, 189801?\nAnswer: 221554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)\/(z*z*z**(-12\/5))*z**(6\/13)*z*z*z\/z**2 assuming z is positive.\nAnswer: z**(-204\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + s**2 - 4*s**3 + (2 + 2*s - 2)*(-s**2 + 4*s**2 - 5*s**2).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*x + 25*x - 84 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**3 + 739 - 625 - 114.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202 and 19089.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t**3 + 20 - 21 - 19.\nAnswer: 15*t**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + r + 3 = 20, 0 = -2*r + 10. Put -1, -9, p in descending order.\nAnswer: -1, p, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525 is divided by 64?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1800 and 2200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 6*w**2 - 11*w + 5. Let q be (-1)\/(-2) + (-273)\/(-26). Suppose 2*o - 5*n + 11 = 49, 3*o + 4*n - q = 0. Is f(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + c. Let q(d) = -15*d**3 - 2*d. Let w be 1\/((-18)\/((-108)\/(-3))). Calculate w*x(l) - q(l).\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 8. Calculate the remainder when 28 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1399*m + 60152. What is p(43)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + g - 16, -25*g + 61*g - 16 = 4*q + 33*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/35)\/(2\/(-35)*7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -302 by 1.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 23614*h**2 + 2*h - 1. Let d be b(1). Let q be (-12)\/(5 - 1) - -7. Suppose -m + 12 = -5*m, 5*m = q*k - d. Round k to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - 2*(sqrt(6) - 2*sqrt(6)))\/sqrt(2).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 577951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.833 + 13.833. Which is the nearest to 0.8? (a) -0.2 (b) 15\/7 (c) g (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Suppose -q*a + 2*u = 158, -5*u = -2*a - a - 110. Find the common denominator of -49\/9 and 166\/(-40) - 12\/a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 3*y - 3*y)*(34*y**4 - 2297 + 2*y**2 + 2297).\nAnswer: -34*y**5 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 406?\nAnswer: -409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v + 6*v + 6*v**2 - 4 - 18*v. Let d be k(2). Suppose -d*x + 188 = -16*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s**2 + 1. Let f be h(1). Is (-201 + f)\/(-1 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, -0.03, 0.1, -21 in descending order.\nAnswer: 0.1, -0.03, -0.22, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 11. Let n = 10 + -24. Let k = i - n. What is the least common multiple of k and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvk when three letters picked without replacement from {x: 1, k: 1, y: 1, v: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) -26 (b) 0 (c) 13 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -1817*w**4\/6 + 1146*w**2 + 1797*w. Differentiate n(j) wrt j.\nAnswer: -7268*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 25*m - 49\/2.\nAnswer: -(m - 49)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 is divided by (-2)\/(-2 - -5 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 17*b - 10 - 18*b - 19. Determine n(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242*q**3 + 137?\nAnswer: -726*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(1 + (-3)\/4). Let m(r) = r**2 + 16*r + 28. Let s be m(j). What is the highest common factor of s and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 5*k**2 + k - 6. Give w(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21178 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622918, 1245834, 1868750, 2491666, 3114582, 3737498?\nAnswer: 4360414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/3988181 and 58\/11811.\nAnswer: 11964543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108221 and 20088?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3039418 decades?\nAnswer: 0.03039418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17261 is divided by 2784?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186 - -183. Suppose -4*y + 3*y + 3 = 0. Put h, -5, y in decreasing order.\nAnswer: y, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - -7. Suppose 4*q - 143 = 3*q + y, 0 = 3*y. Let i = -101 + q. What is the highest common factor of f and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 89091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*l + 20, -2*l - 5 = -5*k - 6*l. Suppose 3334 = -k*r + 12204. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-four fifths of a millennium?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014410823 rounded to 4 dps?\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-231))\/(1950\/(-20475))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 236?\nAnswer: -94.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-7)\/5)\/(2919\/(-695)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03 less than -8307.6435194?\nAnswer: -8306.6135194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6864 is divided by 2247?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 306947063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 29*s + 55. Determine b(-19).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -4*k**2 - 264*k - 205. Let x be g(-39). Calculate the highest common divisor of x and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1097 or -238261\/217?\nAnswer: -1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:04 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.281, -174?\nAnswer: -0.281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.296 - -1.2959013. What is y rounded to six dps?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7650\/(-180))\/85*8\/94.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -19*o**6\/180 - 29*o**5\/20 - 13*o**4\/3 - 89*o**3\/18 - 7*o**2\/4 + 1429*o. What is a in z(a) = 0?\nAnswer: -7, -1, -3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219040*l**4 + 1541605296*l**3 - 62497458*l**2\/5 + 126684*l\/5 = 0. What is l?\nAnswer: 0, 3\/740, 7038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {o: 15, l: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:37 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -681*i**2 - 2*i**3 + 168*i**2 + 169*i**2 + 167*i**2 + 16 - i + 174*i**2 as b*i**2 + h + r*i + s*i**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8865*g - 548 + 1101 + 1188*g - 553 - 1924*g + (-g - g + g)*(0 + 5 - 3).\nAnswer: -9603*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i - 2*u, -2*i + 5*u = i - 29. Suppose 0 = -i*f - 2*d + 547, 8*d - 178 = -f + 3*d. Suppose 0 = 12*m - 1641 - f. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-4*c + c + 4*c) - 1 + 1 - 3*c + 2*c + 3*c - 4*c + (-6*c - 5*c - c)*(1 - 2 + 2).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17199.19 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v = -12. Suppose v = -6*o + 3*o + 2*d, -3*d + 19 = 2*o. Let j(b) = 3*b**3 + b**2 - 8*b + 8. Let f be j(1). Sort o, f, -6 in decreasing order.\nAnswer: f, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*b + 4*n, 58 = b + 2*n + 2*n. Suppose b - 134 = -6*t. Suppose 95 = j + t. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*v + a + 18, -5*a = -v + 9. Let u(t) be the third derivative of 1\/5*t**5 + 4\/3*t**v - 17*t**2 + 0 - 2*t**3 + 0*t. Suppose u(c) = 0. Calculate c.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let u(l) be the third derivative of -l**8\/2880 - l**5\/4 + 4*l**2. Let c(m) be the third derivative of u(m). What is x(c(k))?\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 4:03 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 3*s + 3. Let m be b(-4). Let n be (1 - m)*8\/4. Suppose -3 - 3 = -3*x, -j + n*x + 13 = 0. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + u**2. Let w = 183 - 183. Suppose w = -7*s - 37 + 16. Let m(f) = 2*f**3 + 4*f**2 + 2*f. Give s*h(t) + m(t).\nAnswer: 5*t**3 + t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 1339 and -12.2.\nAnswer: 1326.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - s + 10 = 0, -1 = -3*h - 4*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - x - 47 = -1270, -s = 3*x - 1233. Is 2 + (s - (-3)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ba (base 14) to base 15\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 277, -2, 7, 6, -1, 19.\nAnswer: -2, -1, 0, 6, 7, 19, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13295, 31680, 50059, 68432, 86799, 105160?\nAnswer: 123515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4774.431102 to 1 decimal place.\nAnswer: 4774.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((1368\/16)\/(-9)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393765?\nAnswer: 3, 5, 26251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + 12. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*j - 5*g + 38, 2 = j - 4*g. Let i = 22 - j. Is 14*1 - (i + -1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3408 is divided by 285.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010001011110 (base 2) in base 13?\nAnswer: 6143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249105, -249107, -249109, -249111, -249113?\nAnswer: -249115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1551175, -1551171, -1551165, -1551157?\n\"Answer: y**2 + y - 1551177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 + (-54585)\/(-225). Suppose r*o - 227*o - 3075 = 0. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -3. Suppose -z*x + 2 = -2*x, -x = 3*s - 8. Suppose n + 0*f = -s*f + 53, -n + 5*f + 60 = 0. What are the prime factors of n?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -584?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1357\/6 + -226. Let j = -119 + 591\/5. What is the second biggest value in 0, -0.3, h, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815 divided by 1?\nAnswer: -1815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*d - 5 + 7*d + 9*d + (0 - 2 + 3)*(-d - d + 0*d) - 3*d + 3*d - d - d + 1 - 1 as u*d + i and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87.91016 - 87.9. What is f rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15966709 is divided by 670.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + w = -2*y + 5, 2*w + 4 = 0. Suppose 126 = 17*j + y. Are 4 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 790*n**3 + 1812*n**2 + 232*n - 8. Let u(o) = -263*o**3 - 604*o**2 - 87*o + 3. Let z(v) = 3*r(v) + 8*u(v). Find the third derivative of z(m) wrt m.\nAnswer: 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m + 10. Let r be h(-7). Let n = -17 - r. Suppose 11*k - n = 8*k. What is the remainder when k is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 22691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27257 - 7924. List the prime factors of u.\nAnswer: 19333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 + 67. Suppose -5*m + 40455 = l*g, -2*m - 2*m + 32404 = -4*g. Let u = m + -16396. What is u rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmnjggggg. Give prob of sequence mng.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 515452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -4*sqrt(66))\/sqrt(6) - -4*(sqrt(11) - (4 + sqrt(11))).\nAnswer: -16 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379792, 379794, 379796?\nAnswer: 379798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4, -2, -20698, -10 in descending order.\nAnswer: 4, 3\/4, -2, -10, -20698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -24342?\nAnswer: -24411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 31\/2 of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 7. Let b = -1 + c. Is b equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-16) + 20273\/45144.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2, 0.2, -0.5, 29?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/21 and 19\/20629.\nAnswer: 61887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(1 - (3 - 41))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + i - 4)*(204 - 275 + 218)*(i - 2*i + 0*i) to b*i + d*i**2 + a and give d.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 + (-50)\/30. Which is the nearest to -1? (a) -0.3 (b) g (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55729 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*n**2 - 1054288*n + 1054288*n.\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 906148.3mg to micrograms.\nAnswer: 906148300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 716 and 1138798.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(24\/(-21)))\/(4844\/(-13840))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 13*a**2 - 43*a - 669. Let s be b(-9). Let r = -4 - -127. Is r greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 - g + 8. Let y(d) = -7*d**3 + d - 7. Give -5*h(a) + y(a).\nAnswer: -2*a**3 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3121, -3\/4, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000725765 rounded to seven dps?\nAnswer: -0.0000726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 360440, 720892, 1081344, 1441796, 1802248?\n\"Answer: 360452*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7805107.76 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -121*o + 1. Give h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239 + -235. Solve 4*s + 4*k - 4 = 0, 4*s + l*k - 13 = 3*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88112262.1 to the nearest ten thousand.\nAnswer: 88110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, d: 17}. What is prob of sequence dd?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-10 - 4 - 13) + 63)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16585560847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 407903*x**2 + 2 - 2.\nAnswer: 407903*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11628?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -1124928290.\nAnswer: -1124928291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 6*t**2 + 2*t + 1. Let i(f) = f**3 + 15*f**2 + 5*f - 654. Determine -i(r) + 3*n(r).\nAnswer: 2*r**3 + 3*r**2 + r + 657","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzo when three letters picked without replacement from lobbtzlblzl.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 187, 162, 99, -20, -213?\n\"Answer: -3*t**3 - t**2 - t + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -333597370*o**3 - o + 51247276 wrt o?\nAnswer: -2001584220*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -699 (b) -2 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qzq when three letters picked without replacement from {q: 2, z: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 + -160. Solve -2*a + 0*w - w - 2 = r, 3*w - 6 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 - -146. Let g(q) = 5*q + 1. Let h(n) = -n**2 - 21*n - 4. Let k(u) = -9*g(u) - 2*h(u). Determine k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-93)\/155)\/((-7)\/15).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 64*q**2 + 308*q + 21. Let m(t) = 374*t**2 + 1849*t + 122. What is 6*m(f) - 35*s(f)?\nAnswer: 4*f**2 + 314*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-68)\/30 - (-580)\/348) + (-7326)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63454608 divided by -14994\nAnswer: -4232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 4*x - 2*x)*(-42*x + 20*x**2 + 42*x) as t*x**2 + z + o*x**3 + w*x and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*x - 87*x + 181*x - 84461 = 0. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -5412\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + 0*s**4 + 10*s**4 + (0*s**3 + 0*s**3 + s**3)*(2*s + s - s) as g*s + x + a*s**4 + h*s**2 + b*s**3 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 28 = -3*o + 5*o, o - 6 = -c. Calculate the greatest common factor of c and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 970801 and 3445.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -83596 + 137339. Calculate the greatest common factor of 223 and a.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 17*y**2 + 6*y + 162. Let t be h(16). Let s(b) = b**2 - 6. Let c(d) = -d**2 - d. Give t*c(i) - s(i).\nAnswer: -3*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43554.\nAnswer: 2, 3, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2288 = 5*b, -8*b - 442 = -9*b + 5*n. List the prime factors of b.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 63*q = -408. Let i be 3 - q - (4 - 3). Sort 0, i, 2, -13.\nAnswer: -13, i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**5\/20 - 19*v**4\/12 - 13*v**3\/3 - 52*v**2 - v. Let f be h(14). What is the highest common factor of 690 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-8))\/(30\/5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 6923.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1695281, -1695224, -1695139, -1695032, -1694909?\nAnswer: -1694776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.19. Let i = 0.01 + t. Sort 3, i, 10\/7 in increasing order.\nAnswer: i, 10\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from aamgamm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112 - -112.000069. Round w to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(1\/1*(-11)\/143).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38932.\nAnswer: 2, 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22222000022100 (base 3) in base 8?\nAnswer: -22127567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -2*r - 11, 4*m + 5*r = 1 - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.467 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1343373, 8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 23. Let o be c(-9). Suppose o*q - 5*v + 12 = 3*q, 0 = 5*v - 20. Solve 0 = -4*t + 16, -2*z + q*t - 20 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -179, -62, 139, 430, 817, 1306?\n\"Answer: p**3 + 36*p**2 + 2*p - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 + 2.5. Let i = 0 - 0.2. Let l = i + v. Which is the biggest value? (a) 4 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 432148920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-2*d - 3*d + 15*d)*(-2 - 10 + 4)*(2*d**2 - 4*d**2 - d**2).\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2265506 and 29\/28.\nAnswer: 31717084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6*((-22)\/(-8) + -1). Let n = h + 11\/12. Are n and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 806513*w**6 - 3*w**4 - w**3 - 2*w**2 + 60129*w - 2 wrt w?\nAnswer: 96781560*w**3 - 72*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 59?\nAnswer: -7\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-2 - 3*i + 3 + i) - 3*i + 3*i - 3*i + (0 + 2 - 3)*(2 - 2 - 2*i).\nAnswer: -5*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -816 + 1950. Is 81 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 308\/20 + 1 + (-8)\/20. Let l(c) = c**3 - 15*c**2 - 8*c - 9. Is l(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/6 - -5 - (-14)\/4. Find the second derivative of 7*y + y**5 - 5*y**5 + k*y**4 - y + 45*y wrt y.\nAnswer: -80*y**3 + 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5 - 16710*c**2 + 17008*c**2 - 9*c**4 + c**4 wrt c?\nAnswer: -120*c**2 - 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = 0, -5*n + 0*n - 3*q + 184 = 0. Let i(u) = u**3 - 36*u**2 + 35*u - 28. Let p be i(n). Is p != -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 182, 149, 96, 17?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568, -1136, -1706, -2278?\nAnswer: -2852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7169205 to the nearest one thousand.\nAnswer: 7169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -203 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvdd when four letters picked without replacement from {y: 2, d: 2, l: 6, v: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175 - -174. Let a(c) = -28*c - 6. Let p be a(i). What is the greatest common divisor of p and 638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5697 is divided by 2837.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -1 - 2. Let u = -4 + z. Let w(l) be the third derivative of -5*l**4\/24 - l**3\/6 - 903*l**2. Calculate w(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1823111.7?\nAnswer: 9115558.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1256 + 1263. Let c be (-1 + -1)*(3 + -5). Let a(k) = -9*k + 5. Let j(t) = 5*t - 3. Give c*a(g) + v*j(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9*d)\/d**4)\/((d*d**(-6))\/(d*(d\/d**(-3\/2)*d)\/d)) assuming d is positive.\nAnswer: d**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 2.6. Let m = 2.6 - h. Which is greater: m or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 3. Let s = 78 + -65. Let t = 12.9 - s. What is the closest to t in 2\/9, o, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -4. Let l = h - -28. Let r = 66 - 30. Calculate the remainder when r is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 761984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/83?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(2\/7))\/x)**32\/(x**1*(x*x*x**(-1\/2))\/x*x))\/((x\/(x**(-2\/5)\/x)*x)**(-47)*(x*x**(1\/3))**(2\/29)) assuming x is positive.\nAnswer: x**(901717\/6090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20461 by 1.\nAnswer: 20461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 48 = -2*h - 2*h, 28 = 5*y + 3*h. Let i = 1.7 + -1.56. Let q = -0.06 - i. Which is the smallest value? (a) q (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6143*z - 13701*z + 2 - 2 + 7555*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12921)\/(-15768) + (-3 - (-63)\/24). Which is the biggest value? (a) -4 (b) y (c) 141 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 - 10*m - 16. Let z(j) = 6*j**2 - 18*j - 31. Let u(g) = 11*d(g) - 6*z(g). Find the second derivative of u(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*v**3 - 180*v**3 - 331*v**3.\nAnswer: -812*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12253105, -3\/2, 1.8 in descending order.\nAnswer: 1.8, -3\/2, -12253105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612236?\nAnswer: 2, 3, 134353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12856 + 7444?\nAnswer: 1a19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 10*c**2 - 1\/60*c**5 + 0*c**4 + 0*c**6 + 0 + 0*c - 3\/35*c**7 + 0*c**3. What is the third derivative of u(w) wrt w?\nAnswer: -432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8994 is divided by 6462.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62779 is divided by 144.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 309*f + 2*f**3 + 16 - 309*f + (3*f - f - 3*f)*(2 - 3*f**2 - 2).\nAnswer: 5*f**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -56, -2\/13, -479, 0?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w**2 + 2*w. Let g(n) be the third derivative of 2*n + 0*n**3 + 0*n**4 + 0 - 1\/60*n**5 + 47*n**2. Determine b(g(s)).\nAnswer: -13*s**4 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*q**2 - 234*q + 234*q + (q - 1 + 1)*(-2 + 0 - q + 3*q) - 10*q + 10*q + 3*q**2.\nAnswer: -24*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1908629050161953.0000011 + -1908629234967764. Let s = x - -184805802. Let z = -9 - s. What is z rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 3, p: 1}. What is prob of sequence ue?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31992)\/(-837))\/(-86) + (-13)\/18?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 8 = 3*d. Suppose 4*v + 17 = -v - 3*z, -d*z - 17 = v. Let h be v\/2 - (-2)\/8. Which is the closest to h? (a) -2\/9 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 87*m - 1170.\nAnswer: 3*(m - 10)*(m + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.19016129 to 2 decimal places.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((sqrt(378)\/sqrt(6))\/sqrt(9)) - (sqrt(209)\/(sqrt(99) - sqrt(11)) + (-2 + sqrt(19)*1 + sqrt(19))**2).\nAnswer: -80 + 17*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 604 = -10*o + 628, 5*n = -o + 180 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 87492 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: Simplify sqrt(567)\/(1*sqrt(576) - sqrt(9)).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -15\/7, -8.78, -69, 7, -1?\nAnswer: -8.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167789 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574372, -2297533, -5169474, -9190195?\nAnswer: -14359696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 4 + 6 = 0. Let m be -11 + (z - 4) + 1. Is m less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 12:50 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 7*z + 14, -5*k + 2*z + 15 = 11 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*w - 8*w - 14*w + (-3 + 1 + 0)*(0 - w + 0).\nAnswer: -37*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**6\/50 + 9*n**5\/100 - 13*n**4\/20 - 51*n**3\/10 - 54*n**2\/5 - 81*n. Factor r(l).\nAnswer: 3*(l - 4)*(l + 1)*(l + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61983 is divided by 1770.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290 - 19139\/66. Let y = -1\/6 - z. Let f = -1.2 - -1. Put 1\/2, f, y in increasing order.\nAnswer: f, y, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1203110110201 + 4?\nAnswer: -1203110110142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012528445 rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3182, 334 in decreasing order.\nAnswer: 3182, 334, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*g = 7, -4*v - v = g + 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209\/1896 + 12\/79. Let t = 53\/120 - h. Which is smaller: t or 0.178?\nAnswer: 0.178","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 26. Suppose -x*g - 38 = 2*m, -m = 5*g - 0*g + 99. What is the units digit of (-712)\/g - (-2)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 610*p + 4*p - 3 - 6.\nAnswer: 614*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 - -99. Let p(x) = x**2 - 2*x + 2 + 7*x - 3*x. Give p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + r. Let a(k) = -21*k**3 + 2*k**2 - 2*k. Let b(t) = a(t) + 2*o(t). Find the third derivative of b(i) wrt i.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*i - 47*i = 73*i + 51*i. Factor i - 4\/17*n - 2\/17*n**2.\nAnswer: -2*n*(n + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a66d (base 14) in base 3?\nAnswer: -12100210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00432 + -0.99568. What is the nearest to 1 in p, -1\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h - 6. Calculate j(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 318 - 146 - 172 - 3575*p to j*p + z and give j.\nAnswer: -3575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*j = -1, 77793*s - 4*j = 77790*s - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 765853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20559*t**3 + 20556*t**3 + 7906*t**2 - 7906*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7.46*-2603.85\nAnswer: 19424.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 7*i**2 - 19*i + 4. Let c be a(9). Let d = -9 - -2. Put c, 5, d in increasing order.\nAnswer: d, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 15*u - 16. Let d(j) = j + 2. Let t be d(14). Let o be v(t). Solve 4*p + 1 = r, 0*p + p - 3*r + 14 = o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -12, -1, 1\/2, -254?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.67 and 63.62.\nAnswer: -42.6254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*15\/800*-21*135\/(-1134).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a factor of 1768791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -6100.849 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 + 3. Let f be p(-6). Suppose 3*s = -f*s - 324. Let w = 6 - s. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*((-40)\/(-6) - 2). Suppose 2*o + f = 118. Suppose 5*y = -4*m - m + o, m - 21 = 3*y. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 129940226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.7, 235\/3, -0.3, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675.6928 centuries in years?\nAnswer: 67569.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -m - 45, 3*u = 48*m - 44*m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 167 + -167.000067. Round w to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = q. Suppose -20 = -2*v - q*i, -v - 3*i + 16 = i. Let k be v*(6\/3 - 1). Solve -a + 15 = -5*y, 4*a - k*y + 7 - 3 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5072, 20896, 47270, 84194, 131668, 189692, 258266?\nAnswer: 337390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001640294 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/33 in 5, -41, 273, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16114657, -16114643, -16114607, -16114537, -16114421, -16114247, -16114003?\n\"Answer: 2*f**3 - f**2 + 3*f - 16114661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1406120 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -723*u + 451. What is the hundreds digit of q(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1212830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216235\/12 - -18009. What is the common denominator of 13\/8 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:10 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 77 + (-9 + -7 + 13 - -9 - 8)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 840 and 1455384?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18\/13 + 80\/39. Sort d, -0.4, -6.\nAnswer: -6, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2. Let i(g) = 1. Let h(y) = 9*i(y) + 4*m(y). Let s(v) = -7*v**2 - 3*v + 13. Let k(c) = 2*h(c) - s(c). Is k(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (7 - 4 - -13)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 506*h + 514*h + 18.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/156751 and -38\/8589.\nAnswer: 192333477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4 = -2*t, 5*t + 28*g + 9 = 31*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*q + 35 = 0, -5*q = -5*c + 10*c - 150. Suppose c = 47*d - 42*d. What is the highest common factor of 45 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 14 = 4*x + h, 5*x - 3*h + 26 = 0. Suppose -2*r = 1 - 15. Let c = -5 + r. Sort -3, x, c in descending order.\nAnswer: c, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) -0.3 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkkkrrkkrr. Give prob of picking 3 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 0, 8 in descending order.\nAnswer: 8, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7084*y**2 - 1452*y + 1452. Let c(w) = 44*w**2 - 9*w + 9. Let r(x) = 484*c(x) - 3*f(x). Let s(o) = 15*o. What is r(s(g))?\nAnswer: 9900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4178, 4468, 4758, 5048, 5338, 5628?\nAnswer: 5918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*b + 138, -q - 3*q = 3*b - 207. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 510*p**2 - 3*p + 5*p + 6*p.\nAnswer: 510*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3188 divided by 2\nAnswer: -1594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/271, 1444.4.\nAnswer: -2, 2\/271, 1444.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 7*b**2 - 5*b - 14. Let v be f(8). Let t be 1674\/(-60) + 4\/v. Which is greater: -0.1 or t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/5*(-50)\/(-15). Suppose 3*o - 64 = -o. What is the remainder when o is divided by ((-175)\/70)\/(2\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 6*j + 528 = 0. Let v be 55\/66*(j\/(-5))\/4. Factor 0*t**3 + 0*t + 0 + v*t**4 - 2\/9*t**2 - 4\/9*t**5.\nAnswer: -2*t**2*(t - 1)**2*(2*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32281 is divided by 481?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3))**(-28\/9))**(-15)*(d**(1\/4))**(-12)\/(d*d**(-3\/4)*d*d**(1\/4)) assuming d is positive.\nAnswer: d**(1093\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62277076 - 252*m - 62277076.\nAnswer: -252*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1228248442 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2655359, -2655321, -2655257, -2655167, -2655051?\nAnswer: -2654909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 18\/8)\/(-37*(-1445)\/(-769896))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-58))\/((-18925)\/658590)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -128, -168, -234, -326, -444, -588?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2439?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 896*g**2 + 224*g - 1 wrt g?\nAnswer: 1792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -11, -47, -109, -203, -335, -511?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*t - 5*t, t = -a - 1. Let v(f) = a + 24*f - f**2 - 21*f + 0. What is v(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 186\/5 - 72\/(-90). Let t be g\/(-14) + 3 - (-404)\/7. Suppose -t*n + 61*n = 123. Calculate the remainder when n is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -0.0355, -0.2 in decreasing order.\nAnswer: 8\/5, -0.0355, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 53485026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 2*r - 9. Let x be c(-4). Is 1\/5 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45442.13 rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 2*h + 4*a + 8, 16 = 2*h + 3*a. Let r be (1 - -2) + (0 - 2 - 2). What is the nearest to h in -0.5, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243.48 - 3.52. Let z = 214.18446 + 32.84464. Let y = a + z. Round y to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from aaaaaffafaaa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56894.97 centimeters to nanometers.\nAnswer: 568949700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**4*p + 63*c**2 + 2*c*p - 2*c + 10*p - 243 wrt c.\nAnswer: -4*c**3*p + 126*c + 2*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4816417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 505*f - 227*f - 274*f - 63. What is o(8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14826504 by 1059036.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxbubxuuxuxqux. Give prob of picking 3 q.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(256) + (sqrt(256) - ((sqrt(256) + 1*sqrt(256) + sqrt(256) - sqrt(256)) + sqrt(256)))*-3)\/(sqrt(8) - -4*sqrt(8)*-4))**2.\nAnswer: 25088\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r + 284 = -192 - 55 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -248*g - 24. Let m be i(7). Let w = m - -2928. Suppose o = -4*a + w, a + 869 = 4*a - o. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -39. Let s(w) = -4*w + 2. Let a be s(l). Let t(x) = -2*x - 1. Determine t(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 6*w - 4. Let z be k(-4). Suppose -3*u + 28 = z*v - 0*v, -4*u = v - 20. Let o(p) = p**3 - 4*p**2 - 2*p + 3. Calculate o(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 38263.99 millennia?\nAnswer: 459167880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4288239.5 rounded to the nearest 10000?\nAnswer: -4290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 114269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -17. Suppose 0 = -w - 4*c + 2*c - k, 2*c + 19 = 3*w. Solve 0*y**3 - y**3 + 4*y**3 + w*y**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*t = 17, -2*s + 2*t - 3*t + 7 = 0. Suppose 37 = -s*m + 5*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/2 + 2057146*u + 2115924832658 = 0. What is u?\nAnswer: -2057146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -3\/7 (c) 356\/5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 77 times -0.9370292\nAnswer: -72.1512484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:57 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 48 = 0. Suppose -5*m + 3*a + 69 = a, -m - 3*a + p = 0. Suppose 5*l = 0, 3*f - l - 168 = -4*l. Calculate the remainder when f is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**3 - 4*w**3 + 40*w**3 + (-10 + 3 + 16)*(-1 + 1 + 2*w**3).\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2482506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 616 - 412. Suppose 0 = -4*h - 4*a + 220, -f = -2*h + 3*a - 74. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 17. Let j = -4028 + 4028.037. Which is the nearest to l? (a) j (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3728 and 699.\nAnswer: 11184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441623 is divided by 439?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1. Let t(p) = -7*p**2 - p - 14. Let u(m) = -4*j(m) - t(m). Let i be u(-4). Let v = 329 - i. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 1 + 5*i**3 - 41 + 13 - 2*i**3 - 37.\nAnswer: 7*i**3 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 12) to base 11.\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21948*l**6*p**3 - l**2 - 9577*l*p**2 + 2*p**3 wrt l.\nAnswer: -2633760*l**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 6. Let z(y) = -3*y - 11. Let t(d) = -5*s(d) + 3*z(d). Suppose 6*p = 2*p + 88. What is the remainder when p is divided by t(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -176760372?\nAnswer: -176760366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 118?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssxxs. What is prob of sequence xss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75137 is divided by 49.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**3\/6 + 961297*l**2\/3 - 640864*l = 0.\nAnswer: 0, 2, 1922592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9\/2)*g**37*(g**(-20))**(5\/9) assuming g is positive.\nAnswer: g**(385\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 1309, -1, 3, 0, 1, -4 in ascending order.\nAnswer: -27, -4, -1, 0, 1, 3, 1309","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 20.4. Let y = 0.255 - -2.745. Let n be ((-40)\/24)\/(4\/6). What is the third smallest value in y, 1\/3, x, n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201 + -201. Suppose b = -20*k + 4992 + 968. What are the prime factors of k?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10651717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4, 5 in descending order.\nAnswer: 5, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389\/9 - 43. Which is the third smallest value? (a) 0 (b) -1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 - 121.\nAnswer: -122.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -52098.169018434 minus -1?\nAnswer: -52097.169018434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-26) - (-54)\/(-351). Suppose -4*o = 3*b - 2974, 4*o + g*b = 4*b + 2988. What are the prime factors of o?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49814 is divided by 6839?\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 + x**3 + 124 - 141 - 3*x**2 to the form p + o*x**3 + t*x**2 + n*x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -60389, -241730, -543963, -967082, -1511081?\n\"Answer: v**3 - 60452*v**2 + 8*v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/s**(-2\/41)))*s*s)\/((s\/(s\/(s\/(s*s**(-5\/6)))))\/s*s))\/(s\/(s**(-7\/2)\/s)*s**11) assuming s is positive.\nAnswer: s**(-1757\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*l + 7103 - 7907 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*t = 3689, -2*x = 2*t - 7*t - 1463. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + f**3 - f**3)*(-9 + 0*f - f + 21 + 2*f**2).\nAnswer: -4*f**5 + 2*f**4 - 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrkrrrrrrrrrkr. Give prob of sequence krk.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/79 or -1\/6?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 353999\/55528 - 1\/6941. Find the common denominator of 89\/822 and t.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -23*c**4\/12 - c**3\/3 + 25*c**2. Let s be v(-1). What is the highest common factor of s and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p. Let c(m) = 34*m + 161. Let f be c(-11). Let h = f - -212. Calculate g(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*l**2*p**3 - 4*l**2*p + 223*l*n*p + 22*n*p**3 + 6567*p**3 with respect to l.\nAnswer: -30*l*p**3 - 8*l*p + 223*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbzzzbb. What is prob of sequence zz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(-13)\/i)*i**36)\/(i\/i**19*(i*i\/i**(-9\/5))\/i) assuming i is positive.\nAnswer: i**(336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 979391.4 millilitres?\nAnswer: 979.3914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5 - 3*f**2 + 23*f**3 - 23*f**3 wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 774 is divided by 223.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 - 85. Suppose 3*x = 5*l + 67, 5*x - 2*l = 3*l + r. What is the remainder when x is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2963710 to the nearest integer?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245496 is divided by 28965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 6*g**2 + 5. Let l = -9 - -15. Let y be t(l). Find the third derivative of -3*w**2 + 5*w**6 - w**y + 0*w**5 + w**5 wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+1.52708184\nAnswer: 1.32708184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s - 650 + 42 = -55*s. What is the remainder when 1290 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -135418 and -141.\nAnswer: 19093938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9)\/(99\/22) - (-1 + -73) is divided by 25 + (-1 + 0 - -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72966355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(375\/(-80)))\/((4060\/(-87))\/35).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -632, -597, -548, -479, -384?\n\"Answer: b**3 + b**2 + 25*b - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11286, -11283, -11280, -11277, -11274?\n\"Answer: 3*m - 11289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-b + 18*b - 3*b)*(4*b**2 - 6*b**2 + b**2).\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240 - 40 - 79 - 121 + 18*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.8883 and -1873060243?\nAnswer: 1873060243.8883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, k: 3, d: 3}. Give prob of picking 4 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - 3. Let o(z) = -4*z - 4. Let c(b) = 7*f(b) - 6*o(b). Let v = -575 - -889. Let i = -311 + v. Calculate c(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*u = 191*u - 1250 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 72*b**3 - 215*b**3 + 13.\nAnswer: -143*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 17727*t + 3563123. Determine l(-201).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1372530*m**4*s**2 + 7465*m**2 - 515*s**2 wrt m.\nAnswer: 32940720*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -80, -2\/3, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/12 - c**4\/2 - 2*c**3\/3 + 21*c**2. Determine i, given that y(i) = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 - -196. Suppose 0 = -2*k + 2831 - 2821. Suppose 0 = 4*j - k*j + 4, r = 4*g + 5*j. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -358*q - 1 - 956*q**2 + 306*q + 152*q + 143*q.\nAnswer: -(4*q - 1)*(239*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107 + 7585551?\nAnswer: 7585443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106915 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-566)\/(-1132)*-2*11*1. Let f(a) = 4*a + 31. Let w(z) = z + 6. Calculate n*w(d) + 2*f(d).\nAnswer: -3*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41968, -4, -1344 in increasing order.\nAnswer: -1344, -4, 41968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12185961428 - -0.227.\nAnswer: -12185961427.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 21*b - 7. Let j be v(10). Let u(i) be the first derivative of 3 + 2\/33*i**j + 2\/11*i - 2\/11*i**2. Factor u(p).\nAnswer: 2*(p - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.5. Let y = -197 + 202. What is the closest to -0.1 in o, y, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-1))\/((-36)\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2. Let w = -8 - -13. Suppose w = 3*u - 1. Let j(k) = 2*k + u*k - k + 5*k. Give v(j(n)).\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -577.\nAnswer: 5\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**12\/x)\/x)\/x*x\/(x\/(x\/((x*x**(-5\/9))\/x))) assuming x is positive.\nAnswer: x**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrirrrirri. What is prob of picking 1 r and 1 i?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 31724072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + sqrt(252)*-5 + sqrt(252))*-3)**2 + (sqrt(252) - (1 + (-2 + sqrt(252))**2)).\nAnswer: 30*sqrt(7) + 20155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Suppose 0 = -3*p + 2*i - v, 2*p + 2*i - 22 = -2*p. Let h be -500 - (p + -3)\/1. What is h rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 2:31 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*i - 0*i. Suppose 3*d + 10 = i*d. Let q be -5*((-16)\/d + 1). Solve q*s = -0*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -10*y**3 + 14*y**2 - 20*y + 10. Let d(w) = -23*w**3 + 27*w**2 - 39*w + 18. Let r(p) = 3*d(p) - 7*l(p). Let k = 24 - 8. Is 32 a factor of r(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 2 = 8*y. Is (-2 - -1476) + (2 - (2 + y)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50, -41, -24, -5, 10, 15, 4?\n\"Answer: -o**3 + 10*o**2 - 14*o - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1678140 and 179\/1678140.\nAnswer: 1678140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 3*p**2 + 3*p + 3. Let i = 67 - 70. Let w(b) be the first derivative of 5*b**4\/4 - 8*b**3\/3 - 4*b**2 - 8*b - 1. What is i*w(u) - 8*c(u)?\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Let j = b - -1. Suppose 0*n + j = -4*n - 5*m, -n + 5 = -4*m. Solve 2 = -3*r - n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 1, j: 2, f: 2, d: 2, y: 5}. What is prob of sequence fc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -320318457 to the nearest 100000.\nAnswer: -320300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001 + -1110000111011111?\nAnswer: -1110001000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.69107933 to two decimal places.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a millennium in months?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 8*g - 1471. What is x(-44)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 0.19, -1.4, -31?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 7*r = 10, -358 + 175 = -5*c + 4*r - 170 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 2)*(312 - n - 312 + 6*n**3).\nAnswer: -18*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1130 - -20?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -902.0631 - -902. Round t to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24031003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 22274392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 + 0 - 6*v - 1 + 3 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1207 and -41.62.\nAnswer: -1248.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4193*f**2*z**2 + 32152026*f**2 - 668*f*z**2 + 3*z wrt z.\nAnswer: 8386*f**2 - 1336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -11*b**3 + 112*b**2 + 99*b + 9. What is p(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 3*m + 3. Let i be l(-6). Suppose -2*z + i + 67 = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 0*h**4 + 18*h**2 + 0*h + 0*h**3 + 23\/5*h**5 + 18. Find the second derivative of q(y) wrt y.\nAnswer: 276*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdkkkkkdkkkkkkdkkk. Give prob of picking 3 k and 1 d.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*m - 2, 3*m = -1845248*r + 1845269*r + 138 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*q + 2*q - 7947297*q**2 + 7947668*q**2 in the form t + h*q**2 + g*q and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**7\/42 - 299*f**4\/12 - 116*f**3 + 1145*f. What is the second derivative of i(c) wrt c?\nAnswer: 20*c**3 - 598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.95 + 0.05. Let f = -30 + j. Let g = 186 - 1304\/7. What is the nearest to 2 in f, -3, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 170.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d. Let z(y) = -2*y + 1. Suppose -5*w = -v - 4, 0 = v + 4*w - 9 + 4. Let o(u) = 2*u + 1. Let h(g) = v*z(g) - o(g). Give h(i(t)).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(114)\/sqrt(6) - (sqrt(19) + (sqrt(19) - sqrt(19)*-6) + 4).\nAnswer: -7*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a factor of 329220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*k + 4*x, 4*k - x = 3*x - 28. Let j(t) = t + 1. Let w(o) = 4*o + 4. Let y(a) = k*j(a) + w(a). Let z(m) = 7*m + 5. Calculate 5*y(i) + z(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -64. Let b(i) = 17*i + i**3 - 3*i**2 - 20 - 5*i**l + 0*i. Is b(6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -66. Let q = k + -25.5. What is the nearest to 0 in q, -3\/4, 0.9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-25)\/(4875\/(-945))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:51 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1622043?\nAnswer: 3, 37, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*o**3 + 8*o**3 + 3*o**4 - 2 + 9*o + 1 - 4*o + 8*o**3 to k*o + f*o**2 + j*o**3 + y + x*o**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(((-40)\/(-14))\/((-29)\/7 + 5)). Sort 105, 3, f, -5, 0.\nAnswer: -5, 0, f, 3, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-2 - 21\/6)*(1 - 39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134\/(-1742)*26\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwbbbwwbbwwwbwbb. What is prob of sequence bwb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y - 19. Let i(k) = -14*k + 29. Let w(d) = -2*d**3 + 2*d**2. Let x be w(2). Let o(h) = x*q(h) - 5*i(h). Let z = 10 - 5. Give o(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79, 43, 19, 7, 7?\n\"Answer: 6*i**2 - 54*i + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 2, 0, 1, -8, -5 in ascending order.\nAnswer: -8, -5, 0, 1, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 862894557 to the power of 1\/2, to the nearest integer?\nAnswer: 29375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 43 - 7 - 9*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -33*q - 17\/6*q**3 + 0*q**2 - 4. Let g(k) = -6*k. What is g(o(m))?\nAnswer: 102*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/84 and 79\/476.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 9*f + 7. Let a be s(7). Let x(h) = -h - 1. Is 5 a factor of x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12212122 (base 3) in base 9?\nAnswer: 5778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 12056083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 7*t**2 - 8*t - 7. Let r be m(-6). Solve -1 = -b - r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 467 - 5133\/11. Suppose 4*r = 5*s + 16, 5*r + 3*s = 5*s + 3. Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -7*x**2 - 67*x\/2 + 15\/2 = 0?\nAnswer: -5, 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 15 - 99 = 0. Suppose -50 = c*o - 26*o. Is 6 a factor of 1*(o - -2 - 5\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2154289, 8617181, 19388667, 34468747?\n\"Answer: 2154297*i**2 + i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - -699711019814.\nAnswer: 699711019814.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - r - 9 = -13, 16 = 3*p + 4*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 1:12 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3889979710 and 2.\nAnswer: 3889979712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.75304 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**5)**(29\/4) assuming n is positive.\nAnswer: n**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 13040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**3 + 147*h**2 + 21*h - 185. Give j(-49).\nAnswer: -1214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5325, -5294, -5243, -5166, -5057?\nAnswer: -4910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*c + c. Suppose u - c = -5*m + 25, 0 = 2*m - 4*u - 10. Is 435\/m - 3\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((23\/(-286))\/23)\/(5814\/12597).\nAnswer: -1\/132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 51 = 189. What is the remainder when m is divided by (-4)\/(312\/(-2118)) + (-6)\/39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.1 - 11.11. Let q = -29 - -28.66. Let h = 0.66 - q. Which is the nearest to r? (a) 0 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 22*d**2 + 42*d - 41. Let n be 14\/((-770)\/1023) - 4\/10. What are the prime factors of s(n)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.4, 31, 1\/4, -4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*s - 2)*(2825*s - 3 + 34*s**2 - 2825*s).\nAnswer: 68*s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 2. Let y(b) = -11*b - 22. Let m be y(-10). Suppose -20*g + 9*g = -m. Solve v*f - g = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 27*d**2 - 15*d + 120. Does 47 divide q(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-13)\/j*j)\/(j*j\/((((j\/(j*j**(10\/3)*j))\/j)\/j)\/j)))\/(j**(-2\/19)\/(j*j\/(j\/j**(-2\/17))*j)) assuming j is positive.\nAnswer: j**(-17777\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 3*g + g)*(-g + g - 4*g**2) + (2*g**2 + 4*g**2 - 4*g**2)*(4 - 4 - g) - 6*g**3 + 4*g**3 - g**3 + 4*g**3 - 3*g**3 + 2*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 + 0.03. Which is the closest to 2? (a) h (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -662\nAnswer: 7\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 59*q**3 - 13*q**2 + 6*q. Let z(y) = 59*y**3 - 12*y**2 + 8*y. Give 4*j(b) - 3*z(b).\nAnswer: 59*b**3 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933297 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163973827*c**4 + 105*c**2 - 1300*c - 3 wrt c.\nAnswer: -3935371848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2043, 4100, 6157, 8214, 10271, 12328?\nAnswer: 14385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/12)\/b**42)\/((b*b\/(b**(-26)\/b)*b*b)\/((((b**(-44)*b)\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-1427\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 58?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4604 divided by -1151?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 53*y**6\/120 - 17*y**5\/20 + 6*y**2. Find the third derivative of p(b) wrt b.\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -806268?\nAnswer: 806255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 219344, 438690, 658036, 877382, 1096728, 1316074?\n\"Answer: 219346*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9221.214ml in litres?\nAnswer: 9.221214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.153 rounded to 1 decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2716234?\nAnswer: 2, 283, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34034438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 7. Suppose 65 + 25 = -5*c - 5*s, 42 = -3*c + 3*s. Let v be r(c). What is the greatest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 13*z**2 - 7*z + 6. Let o be n(13). Let d = -85 - o. Solve -4 = -4*r - d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 3*o**2 + 0*o**2 + (10*o - 16*o - 33*o)*(2*o - 3*o - o) in the form c + r*o + l*o**2 and give l.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47519, 47502, 47485, 47468, 47451?\nAnswer: 47434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 126*q**2 + q. Suppose -4*k = 2*p - 2*k - 6, 4*p = -2*k + 20. Let z = 8 - p. Is c(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -1\/120*m**6 - 1\/12*m**4 + 0 + 0*m + 13*m**2 + 1\/15*m**5 + 5\/6*m**3. Determine r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.419 hours in microseconds?\nAnswer: 563108400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 44?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365373 is divided by 1355?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1877783 (base 14) to base 6\nAnswer: -1111451051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 47, 118, 249, 458?\n\"Answer: 3*z**3 + 3*z**2 - z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/27)\/u**12)\/(u**(-7)*u\/(u*u**(1\/4))))**(-39) assuming u is positive.\nAnswer: u**(6773\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*a - 13 = 0, a + 7 + 2 = w. Let l(v) = -2*v**2 - 24*v - 15. Let o be l(-11). Solve -2*c - 2*m - o = 1, -m = -2*c + w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 492\/11 + -1187\/44. What is the common denominator of a and -17\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3728.19ml in litres?\nAnswer: 3.72819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 10:48 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667, -682, -695, -706?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 667780879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 2850?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4462 divide 130169926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 34*l - 37*l + 21, 9 = g + 2*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9927226.\nAnswer: 2, 4963613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 y when four letters picked without replacement from {y: 2, r: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 68805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 16 (b) -5 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65623447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 3653*b**2\/2 + 86808*b + 1038240.\nAnswer: (b + 24)**2*(b + 3605)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 24*t + 24. Let w(y) = 2*y - 2. Calculate -5*g(i) - 60*w(i).\nAnswer: -240*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-9)\/(315\/14))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -28*f**2 - 148*f - 40 = 0?\nAnswer: -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5634 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512085129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-7 - -6 - 0\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 607.855 minutes?\nAnswer: 36471300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 + 265?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 797*d**3 + 4*d**2 - 32 wrt d.\nAnswer: 4782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 23. Let o(q) = -1950*q**3 - 2 + 2*q + 17*q**2 + 1951*q**3 - 2*q**2 - 3*q. Let s be o(y). Calculate the greatest common factor of 39 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17293552 is divided by 4493?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 423*f - 8705. Calculate l(21).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7875162566 to the power of 1\/6, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h\/h**(-2\/5))**(-5) assuming h is positive.\nAnswer: h**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 + 0 + 0*h**3 + 0*h - 3\/2*h**4 - 1\/2*h**5 = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-13)\/t)\/t*t)\/(t*t**7)*((t**(-2)\/t)\/t*t)**7)**8 assuming t is positive.\nAnswer: t**(-344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**7\/210 + 36*w**5\/5 + 2837*w**3\/6 - 7*w**2 + 461. What is the derivative of q(d) wrt d?\nAnswer: 4*d**3 + 864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*c = 6 - 52, 3*h = 2*c + 85. Let z = h + -21. Solve g + g = -z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 5)\/(0 - -1). Which is the smallest value? (a) 0.1 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 + 6*x + 3. Let v be a(-4). Is 0 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1397945442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 3\/8, -5740\/23 in decreasing order.\nAnswer: 3\/8, -1\/3, -5740\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -95 (b) -237 (c) 1 (d) 0 (e) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 445, 1162, 1879, 2596?\n\"Answer: 717*c - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 738011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**3 + 32*y**3 - 15*y**3.\nAnswer: 36*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*j**3 + 13461*j**2 - 4686*j - 4032 = 0. What is j?\nAnswer: -2\/5, 3\/4, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 = -3*r - 111, 0 = 2*r - 2. Let z = 110 - q. Suppose -z = -0*s - 4*s. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2078*w = -11813 + 949 - 7838 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + 1 + -2)) + -2)**2 + (-5*sqrt(2736)*-1)**2.\nAnswer: 68401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 6 = 2*r, 2*u - r - 4 = 0. Suppose -2*n = 7*q - u*q, 3*n = -2*q - 11. Is (-4962)\/(-9) - n\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134721 is divided by 218?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 87912*u + 7384599. Give i(-84).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -401?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1\/5 (c) 1\/6 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2643*v**4\/2 - 6241*v - 230. What is the derivative of j(l) wrt l?\nAnswer: -15858*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3022914 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 3, 0, 15 in ascending order.\nAnswer: -1, 0, 3, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 6\/(-51) + -3. What is the third smallest value in -0.3, 5, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 + 95. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Let b = -9.19 + 8.4. Let s = b - -0.39. What is the second smallest value in 2\/9, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (3*sqrt(91) + sqrt(91) - sqrt(91)))*-5 - sqrt(91))\/(3*sqrt(567)).\nAnswer: -7*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.83939\nAnswer: 4.19695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/4)\/q**(-5)*(q*((q\/q**0)\/q)\/q)**(-9\/4) assuming q is positive.\nAnswer: q**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 + 12*d + 20. Give k(11).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/88506147?\nAnswer: 2\/88506147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = 0, -9*n + 4*n + 5*x = 10. What is the nearest to -1 in 20, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 183, 1053, 2611, 4857?\n\"Answer: 344*r**2 - 162*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -971163*r**2 + 1942214*r**2 - 971051*r**2 + 4*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*r = -27, 1 - 25 = -5*c + 2*r. Calculate the greatest common factor of c and 762.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 192237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15204.98 decades to months.\nAnswer: 1824597.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 244044 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32820*w = -32816*w - l - 34, 5*w - 3*l = 46 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, and 2 q when four letters picked without replacement from {q: 1, p: 2, c: 1, r: 1, e: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*y + 21 = 3*y, y + 12 = 5*z. What is the second derivative of -186*k**z + 9064 - 76*k - 9064 wrt k?\nAnswer: -1116*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdb when three letters picked without replacement from {b: 2, d: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1520699262 at most -1520699263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -20. Let u = y - 19. Suppose -k - 6 + 26 = u. Solve n + 5*a - k = 6*n, -n = 4*a - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 17*r**2 - 14198*r + 1154. Determine v(-128).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -825, -799, -737, -615, -409, -95?\n\"Answer: 4*c**3 - 6*c**2 + 16*c - 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 16 = 23*d. Let b be -1 + (0 - d) + 0. Let w(y) = y**3 - 2*y**2 + 2*y - 4. Is w(b) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * 3.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -l - 2*z + 4, -z = 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51587550?\nAnswer: 2, 3, 5, 7, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2051310525 - 3?\nAnswer: 2051310522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4366 - -502?\nAnswer: -3564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/1806 and -107\/6112302.\nAnswer: 262828986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 10. Suppose -n = -b*n + 17. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9827 and 299708.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134.25 + -2.25. Put -2\/3, -3, h in descending order.\nAnswer: h, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67.5 - -67.7. Suppose 0 = -2*i + 5 - 1. Suppose -i*z = -z. Put 2\/9, f, z, 5 in decreasing order.\nAnswer: 5, 2\/9, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 14 = -4*s, 4*s = 5*l + 15 + 15. Suppose w - 40 = -3*w - s*m, 0 = -5*w - m + 29. Let i = -5 + 6. What is the highest common factor of w and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 46*u + 327. Calculate n(-49).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**5\/3 + 12*c**4 - 40*c**3 + 184*c**2\/3 - 44*c + 12 = 0 for c.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20244, 81046, 182382, 324252, 506656?\n\"Answer: 20267*l**2 + l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 + 46.77. Let v = 47 - x. Put v, 5, 0.5, -4 in decreasing order.\nAnswer: 5, 0.5, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/3 and -48\/389?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1817952327?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 - 1.8. Let x = 6.91 - -0.49. Let t = p + x. Put t, 5, -4 in ascending order.\nAnswer: -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2 - (37 - (21 - 5))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78297396 divided by 12?\nAnswer: 6524783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244681 + -144381. Round h to the nearest 1000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7 times 16?\nAnswer: 235.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 11939015*r + 4233928*r - 23.\nAnswer: 16172943*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8784*i. Let d(y) = 18*y**2. Give d(m(f)).\nAnswer: 1388855808*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x + 69. Let y be (8 + -5)*2\/(-4)*4. Let j be s(y). Let q = -0.3 - -0.6. Which is the closest to q? (a) 0.1 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 6871 = -6801, 5*o = n - 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.048 - 0.65\nAnswer: -1.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 147*s**2. Let v(g) = -4*g. Calculate v(b(o)).\nAnswer: -588*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*7\/((-28)\/6). Let u be (-2 - x)*(-56)\/(-8). What is the tens digit of 1 + (-3 - (u + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 - 153.99893. Round t to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8947?\nAnswer: 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 481 + 129 = 0. List the prime factors of o.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by 99.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) 1\/33 (c) -4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 549 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -55\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 - -3 - (3 + -7). Let d be u*((3 - 1) + -4). Let q be (d - -2) + (8*-379999)\/(-2). What is q rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-1)\/(-2))\/(1\/2) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*h - 4 + 9, -2*h + 5*y = 23. Let d(l) be the second derivative of l**4\/12 + l**3\/2 - l**2\/2 - 12*l. What is d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-108888)\/(-36))\/26 + (-4)\/(-6). What is the highest common divisor of v and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -90, -2, -1234, -9 in decreasing order.\nAnswer: 4, 2, -2, -9, -90, -1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*p**2 - 9 + 9)*(25 + 124*p + 123*p - 250*p) to l*p**2 + a*p + q*p**3 + v and give l.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (26\/(-6) - (-5 + 0))*273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(1050\/40)*180\/(-8)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*w + 45 = 0, 5*k + 49 = -4*w - 26. Let m = 41 + k. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1847*m + 1401*m + 3568 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/6 (b) -0.2 (c) -0.2834 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/52, 0.5, 2\/13, -2\/17, -17124\/11?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:01 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five quarters of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/270*5*153\/204?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -267 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 970184 and 103748?\nAnswer: 2804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85893.7 millennia in years?\nAnswer: 85893700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -527, -728, -937, -1160, -1403, -1672?\nAnswer: -1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391157 is divided by 11481.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000049 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1020)\/17*2\/(-6). What is the second derivative of 4*b**5 + 514*b**2 + 1 - 519*b**2 - b**5 + r*b wrt b?\nAnswer: 60*b**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/7 - 1451346*x**3\/7 - 526705789473*x**2\/7 - 75823063844112*x\/7 - 2729359469265984\/7 = 0.\nAnswer: -725601, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d + 1. Let s be q(-2). Suppose -s + 7 = x. Suppose 4*v + 4*f = -v + 107, 0 = -x*f - 8. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/((-34)\/221*(-2)\/4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -27 - (-2)\/(-4)*-8. Let c = y - -23. Suppose c = -6*b + 10 + 14. Solve 5*u + b*d = 7, -2*d = u + 2 - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/79 - -221\/316. Which is the nearest to 0? (a) n (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-792104\nAnswer: -316841.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 33 = -3*s, -5*a + 55 = 4*s - 0*s. Suppose -a + 8 = u. Let v(c) = -c**3 + 2*c - 7. Calculate the remainder when v(u) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 105*a + 432. Let o be d(48). Solve 1591*x - 1589*x - 4 = o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t + 18 - 95 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10217316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {q: 2, o: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/12 and -89\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, m: 4}. Give prob of sequence ii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -4, 90299, -1, 2, 4 in decreasing order.\nAnswer: 90299, 5, 4, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*r + 6 + 6 = 178*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -117, -110, -105, -102, -101?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13193467 divided by 36547.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 4*q + 7. Let p be w(-6). Suppose p*n = 11*n + 128. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - p**2 - 5*p**2 + (7*p**2 - 3*p**2 + 0*p**2)*((-1 + 4 - 2)*(-1 + 4 - 2) - 18 + 10 - 50).\nAnswer: -235*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttttttttthttt. What is prob of picking 2 t?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12280809, -12280809, -12280807, -12280803, -12280797, -12280789, -12280779?\nAnswer: -12280767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Suppose v*f = 4*i + 8 - 4, -1 = f - 2*i. Does 8 divide 7 - -1*f\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90820.\nAnswer: 2, 5, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/18*-9*(-6)\/27.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**5 + 40*u**4 - 52*u**3 - 112*u**2 + 112*u + 128 = 0?\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-54)\/14)*-3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84*t - 82430*t**2 + 1 + 82461*t**2 + t**5 - 90*t**6 - 62*t wrt t?\nAnswer: -10800*t**3 + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((513\/63)\/19)\/(54\/105)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70823353?\nAnswer: 1609, 44017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97105, 194205, 291301, 388393, 485481?\nAnswer: 582565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y**3 - 3*y**2 + 3*y - 1. Determine z(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 618*r - 20456. What is o(33)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:48 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3*x + 6 = 0, 41*r - 38*r = -x - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aauaaauaruaraaa. What is prob of picking 1 u and 1 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1318026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 2.3637857.\nAnswer: -11.8189285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82969 is divided by 6379.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 383367 + -123988. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 12 = -4*q, 1 = 2*q + x - 3. Suppose -q = -0*p - p. Let c = 16.7 + -1.7. Do p and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 113886376 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*r - 8330 = 440*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2 + 34*j + 26 + 28*j - 59*j wrt j.\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4486094949 - 4486094949 - 2021*l**3 + 2022*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -543 (b) -6\/5 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65296 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-55648.\nAnswer: -5564.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drnc when four letters picked without replacement from nnrnrnnrcddrrrrrrrr?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*v**2 - v - 15*v**3 - 232*v**2 + v + 64*v**3.\nAnswer: 49*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 864 and 3446688.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/((p\/(p**(20\/3)\/p))\/p) assuming p is positive.\nAnswer: p**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2150948, -2150946, -2150944?\nAnswer: -2150942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b9a + 5?\nAnswer: 5ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3483 - 3468. Calculate the remainder when 232 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*y + 291*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -427186535 and -1.7.\nAnswer: -427186536.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three tenths of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y + 13. Calculate i(-9).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33093 + -33097. What is the nearest to 51 in r, 4, 0, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 647 = 79*u - 77*u - 5*d, -u + d = -316. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -3363218?\nAnswer: -33\/3363218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140 - -23) + 32 - (1 + (-8 - -4) + -2).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*l + 2751 = -59*l + 12667. Calculate the remainder when 132 is divided by l.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z - 17. Let f(q) = -6*q + 8. Let l(m) = 11*f(m) + 6*k(m). What is the first derivative of l(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19967298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Let d be (1\/(-2))\/(1\/l). Let h be 1\/d - (-6 + 3). Solve -h*o - 4*r = 3*o + 15, o - 3*r = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = o, -o + 24 = -2*c - 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6*-3041078\nAnswer: 18246468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3699 - -3703. Suppose -6 = 5*y - 31. Suppose -y*j + 1574 = p*r, -4*j - 2*r + r = -1257. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 67722, 134888, 202054, 269220, 336386, 403552?\n\"Answer: 67166*v + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:18 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*x + 19, -15 = g - 3*x - 3. Suppose 0 = -4*s + f + 15, 0 = g*s - f + 5 - 15. Solve -2*w + s*w = 5*o + 1, -o + 2*w = 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from ewiwieuxuwwwwuewci?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 14 + (53 - -58) + -30?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 1\/120*q**6 - 1\/15*q**5 + 0 + 0*q**3 - 4*q**2 + 1\/8*q**4 + 0*q. Determine n(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -14*h**4\/5 - 1954*h**3\/5 - 56176*h**2\/5 + 16856*h = 0.\nAnswer: -98, -43, 0, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53063493.\nAnswer: 3, 7, 1489, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)\/h)\/(h*h*h**(-8)*h)*(h**(2\/7))**(-4\/23)*(h\/(h*h**(-2\/7))*(h\/(h\/h**3)*h)\/h)\/(h**3\/h**5) assuming h is positive.\nAnswer: h**(2813\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/43512839?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(19) + -1) + (sqrt(19) + -5 + 1)**2 + -2.\nAnswer: -10*sqrt(19) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 4*o + 2*o - o - 2*o + o + (-2*o - 3*o + 3*o)*(1 + 1 - 1))*(-4 + 2 + 1) to h*o + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, b: 2, s: 2}. Give prob of picking 2 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/(-24)*((-94)\/(-611) - (-51)\/(-1599)) and -49\/6519.\nAnswer: 26076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1846 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = d. Let c be (d - -5)*6\/8. Let b(j) = 4*j**2 + 13*j - 10. Let x(i) = -i**2 - 4*i + 3. Let h(f) = -2*b(f) - 7*x(f). Give h(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240465?\nAnswer: 5, 31, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*i*s + 25278*i + 24281384*s wrt i.\nAnswer: 10*s + 25278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9508.\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 6. Suppose -74482 = -m*v + 169518. Round v to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -0.5 (c) 13120 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -559*s**3 + s**2 + s + 1. Let d be x(-1). Suppose 0 = 3*q + 5*r - d, 2*r = 4*q + r - 739. Let w be (2 + (-380)\/q)*(-1)\/2. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/5, -0.1, 1\/3, 0.17, 29 in increasing order.\nAnswer: -0.1, 0.17, 1\/3, 3\/5, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 5)\/(2\/(-10)). Let k = t - 5. Solve k = r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = 298347 - 701717 - 214870. Does 240 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 577 divide 1538593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27587 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: Solve 318*g = 322*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z + z + 3*z**2 + 10*z + 4*z - 2. Let i be j(-3). Is 7 - -182 - i\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/7, -5, 4035?\nAnswer: 4035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47641 divided by 71?\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.26838 rounded to 0 dps?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14362, -28747, -43160, -57595, -72046, -86507, -100972?\nAnswer: -115435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - u**2 + u - 1. Let r be k(1). Let x(t) = -2*t**2 - t + 130 - 5 + r. Is x(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnxmjcjx. Give prob of picking 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, e: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5 = -4*a - 21, 4*a = -5*u - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 30*b + 5. Let h be x(-30). Solve -4*i + 25 = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72 + -2.3.\nAnswer: 69.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 13*t**4\/24 - 8*t**2 - 12*t + 4. Let u(i) = -214*i**2. What is x(u(l))?\nAnswer: -2782*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = z + 3*z + 18, -z - 33 = -5*g. Calculate the least common multiple of 2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63, -70, -77, -84?\n\"Answer: -7*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-231)\/3 + 4)*(-4)\/(-1). What is the common denominator of (-10)\/(-30)*p\/16 and -53\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12416 (base 9) in base 5?\nAnswer: 231413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 42*k + 4. Let g(z) = z**2 - 118*z. Determine m(g(i)).\nAnswer: 42*i**2 - 4956*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.3 - -35. Which is smaller: o or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -8. Let u = r + -6. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260536*a**2 - 130233*a**2 - 130302*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3 + x + 6*x**2 - x - x + 6*x. Let k(f) = -7*f**2 - 5*f - 4. Let w(a) = -6*j(a) - 5*k(a). Calculate the smallest common multiple of w(-4) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*3\/(-12) + 84\/7. Let z(b) = b**2 - 11*b + 12. Give z(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (0 - 3) - (16 - (-9 + 21))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + -6*(sqrt(162) + (sqrt(162) - sqrt(162)*-2))**2)*-5.\nAnswer: 77790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281 divided by -3.\nAnswer: -281\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 68 - -2) + -5021 + 5036?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(14)\/sqrt(2)*-2.\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -5)\/(1\/((-16)\/(-12))). Suppose 2*a + 4*k + 12 = 0, 2*a + n*k = 3*k. Solve i = a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 137.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 47662 + 47635 + 2*a + a**3 to d*a**2 + k*a + o + q*a**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9511 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0 - 4 - 8 + 3 + 5*u. What is the remainder when h(4) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000602975604 to 5 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + -127. Calculate the common denominator of (3 - (-75)\/6)\/16 and 2 - 25\/15 - d\/(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -409 by -1809.\nAnswer: 409\/1809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-9)*(-3)\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -2*m + 40*m + 140544. Is m at least -2924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppipopiopiippiiiio. What is prob of picking 2 i and 2 o?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.84 - -0.14. Let j = y - -2.7. Which is bigger: -1\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 - (-85)\/((-49130)\/(-3264))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3136 (b) 0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 3, -o + 14 = -r + 11 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4556\/19 >= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.662079mm in nanometers?\nAnswer: 9662079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11*s**2. Let i(u) = -u + 16. Let n = 34 + -20. Let k be i(n). Let z(j) = 2*j + k*j**2 - 2*j. Give z(r(d)).\nAnswer: 242*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 16*o - 19*o. What is the lowest common multiple of 2 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169386783 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 258374 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2583 + -10143.7661\nAnswer: -12726.7661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -724.8, 5\/49, 1\/2.\nAnswer: -724.8, 5\/49, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/16 + 3\/80. Let l(j) = -3*j - 34. Let u be l(-11). What is the third smallest value in p, u, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, x: 3}. What is prob of picking 3 h?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 4. Let o(k) = k**3 + 16*k**2 + 40*k + 2. Let h be o(-3). Let y = h + w. What is the greatest common divisor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 19 = 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 21*i - 33. Let u be r(4). Find the third derivative of -5*a + 56*a**3 - 10*a - u*a**3 + 2*a**2 + 24*a**3 wrt a.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 1439 = -710. Let k = -280 + q. Calculate the least common multiple of 162 and k.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 220421 * -0.1.\nAnswer: -22042.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.008 - 0.008. Let n = 5 - g. What is the smallest value in -0.4, -2\/9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1630 is divided by 323?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (179*x**2 - 2959 - 2958 + 5915)*(2*x + 2*x**2 - 2*x) as b + n*x**3 + q*x + m*x**2 + p*x**4 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 41b?\nAnswer: 41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Solve 2*f - 14 = 4*i, -4*f - 2*i - 10 = -m*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.04, 0.4, -0.019?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(85)*-6)\/(1*sqrt(80)))**2*2.\nAnswer: 1377\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*v + 126*v - 51*v + 2)*(3*v**2 + 35*v**2 + 20*v**2) to b*v**3 + a*v + k + n*v**2 and give n.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknnhkkqh. Give prob of picking 2 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = 13. Suppose -3*a - 3*p = -7*p - 59, -4*p + 45 = 5*a. Let t = a + o. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -93*m**8\/56 - m**4\/6 - 23*m**3\/6 + 88*m**2 + 7. Find the second derivative of j(g) wrt g.\nAnswer: -11160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4089*f**2*x*z + 2*f**2*x + 33*f**2*z + 7*f**2 - 15*f*x*z - 14*f + 2*x - 8559 with respect to z.\nAnswer: 4089*f**2*x + 33*f**2 - 15*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 - 10*n**2 + 3*n + 6. What is u(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -9356*x**3 - 3*x**2 - 37*x + 467. Let b(z) = -1872*z**3 - z**2 - 7*z + 94. Let w(m) = 11*b(m) - 2*l(m). What is the third derivative of w(n) wrt n?\nAnswer: -11280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1026567, 1026587, 1026607, 1026627, 1026647, 1026667?\nAnswer: 1026687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from hqrcrfpcppcpcqrqrrrc?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 6*a**2 - 4*a - 5. Give p(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-301)\/21 + (0 - -3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + y + 5 = 0, 7 = 2*k - y + 2. Suppose 1 = -h + 3. Solve b**4 - 1\/2*b**h + 0 - 3\/4*b**5 + 1\/4*b**3 + k*b = 0 for b.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 + 814 = -98*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1088, -1095, -1106, -1121, -1140, -1163?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*t = -128*t + 234 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*r**3 - r + r - 4*r**3.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -5, -4*i + 3*s + 19 = 0. Suppose 0*j = -i*j + 392. Let f be (j\/714)\/(4\/(-6)). Is f less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 130351586*q + 274310025 wrt q.\nAnswer: 130351586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12191 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/2 - g**3\/6 - 3*g. Let v be 3\/(8 + -35) + (-10)\/(-9). What is the units digit of b(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 50. Suppose 2*m = -r + 3, 0 = x - m - 9. Solve 5*s = 5*j - 15, -x*j - 1 = 5*s - 2*s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 12 + 2)*(2 - 2 + 2)*(-3 + 3 + v)*(2 + 3 - 4) to d + c*v and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 9:57 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-15)\/(-36)*12\/(-15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 644.4226595 and -3.9902?\nAnswer: 648.4128595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((48\/32)\/((-36)\/16))\/(1764\/(-189)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 29*c**2 + 29825*c - 16471. Calculate b(-1029).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 - 75*f + 50. Determine t(17).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 84. Let v be r(0). Is v smaller than 84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 6*g**2 + 2*g + 8. What is l(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(13\/3))**1\/(q*q**(12\/13)*q*q)**(-17) assuming q is positive.\nAnswer: q**(2809\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -2*m**4 - 2*m**3\/3 + 21*m**2 + 94. What is the second derivative of w(h) wrt h?\nAnswer: -48*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13232 (base 4) to base 11\nAnswer: -40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1043723, -1043729, -1043735, -1043741, -1043747, -1043753?\n\"Answer: -6*f - 1043717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 125 = 5*k, k - r + 51 = 3*k. Let p = 2 + k. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0034 rounded to 2 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + -0.29. Let w = -0.32 - u. Suppose -3*v + 69 = 3*y + 78, 0 = -4*y. What is the nearest to v in -2\/7, 0.4, w?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-2)*30\/(-45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 3. Let f be p*((-2 - -7) + -12). Let i be (-12180002)\/f + (-18)\/63. What is i rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 9, -o - o - 5*l + 69 = 0. Let u = 21 + o. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*j - 2826 = -94*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/42)\/(-6))\/((-1)\/1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1785)\/(-70)*(-26)\/(-117).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9033)\/(-12)*91\/2 - 171\/1368 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -0.03264\nAnswer: 0.019584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*180\/(2 + -5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329424?\nAnswer: 2, 3, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 3 + 3 - 2 - w**2. Suppose 137 = -2*m - 4*b + 159, 0 = 4*m + 2*b - 2. What is x(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 7. Let m be 4\/(-6) + (-280)\/21. Let l = -20 - m. Determine x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*g - 6, -2*g - 3 = 9*v - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1085503674 rounded to 4 dps?\nAnswer: 0.1086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405947 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/12 + 2*p**2 + 76*p. Determine r(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 10:52 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 56.999999504. Round c to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/108)\/(7\/(-28))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(1 - 150 - 50)*(o**2 - o**2 - 4*o**4).\nAnswer: 1592*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 less than -2.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-31)\/338520*40\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15156.99986162 + -15157. Round u to 6 decimal places.\nAnswer: -0.000138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 11 = -13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(78) - (-1*sqrt(78) + sqrt(78)))*-5*5)\/(-3*sqrt(36)\/(sqrt(12)\/sqrt(2))*5).\nAnswer: 25*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let d(b) = -2*b**3 - 8*b**2 + 4*b. Let a(f) = d(f) + 6*h(f). Factor a(w).\nAnswer: -2*w*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u + 5*f + 1, -5*f + 29 = -4*u. Let y be (-54)\/u - (-2)\/1. Let v = -3 + y. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 13*z**2 + 6*z + 17. Calculate the remainder when g(-12) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*p**2 - 2 - 107*p**3 - 23*p**2 - 22*p**2 - 11*p**2 in the form f*p + k*p**3 + d*p**2 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57\/2 + 28. Which is the second smallest value? (a) -1 (b) 6\/13 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*s + 232231*j - 232229*j - 43, s + 23 = 4*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22541882707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/6, 2\/5, 34\/3, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + 67. Let t be (r\/(-4))\/((-8)\/(-16)). Let d = -19 - t. Calculate the smallest common multiple of 12 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1221498 - -1918925. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(35\/(-50))*3\/6. Let p(b) = b**2 + 17*b + 72. Calculate the smallest common multiple of p(q) and 111.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 234*p + 2343. Give a(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54\/5 of a micrometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1596*h - 1225738. Give l(768).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132864 and 155840.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.014 - 66.986. Let k = r - -45. Let v = k + 22.00000074. Round v to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246002921 to the power of 1\/3, to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5345549 to three decimal places.\nAnswer: 0.535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from pppnnnpaddpdnpnnn?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (618 - 585) + (10850\/15)\/(-10)?\nAnswer: -118\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*c - 66 = 75*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 + 218. Suppose 5*b + 2*s = 589, f = b - 4*s + 8. Let i = b - 120. Which is greater: 0.04 or i?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 3\/8 (b) -3\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, u: 1, w: 3, x: 2, g: 3, v: 5}. Give prob of sequence wpw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -61312.6938.\nAnswer: -61313.6938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**4\/12 - 17*d**3\/6 + 50*d. Let r(a) = a**2. Determine u(r(w)).\nAnswer: w**4 - 17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 12*m**3 - 14*m**3 - 2 + m**2 as a*m + x*m**2 + h*m**3 + p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1296)\/(-210))\/9 + (-4)\/14.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12947 + -1463020\/113. Let o = 2323\/791 + m. Is o < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/27 - (-4)\/(-18). Let d(s) = 1735*s + 12. Let p(a) = -723*a - 5. Let k(q) = -5*d(q) - 12*p(q). Determine k(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**3 + 67*a**2 + 313*a - 208. Give z(-15).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + 3))**2 + (-2*(-4 + sqrt(19)))**2.\nAnswer: -32*sqrt(19) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25729 divided by 65?\nAnswer: -25729\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**2 + n + 2. Let u(k) = -12*k**2 + 3*k + 5. Let m(h) = 9*o(h) - 4*u(h). Let v(c) = -5*c**2 - 2*c - 1. Determine 4*m(g) - 5*v(g).\nAnswer: g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*u + 12*u + 20. Let w = 5 + -9. Let f = w + u. Solve 2*q - q = f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -1 - 0. Let n be r\/(-2) - 1437\/(-6). Let p be n\/((-2)\/40000*1). What is p rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.616419 times 0.3\nAnswer: -2.2849257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:23 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2438 by -189.\nAnswer: 2438\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*q - 77499997 = -2*p, 0 = -5*p - 4*q + 77499996. Round p to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115622.7 - 33460861.\nAnswer: -33576483.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 7*r - 2*r - 45, 0 = -2*a - 3*r - 11. Let p(f) = -257*f + f**3 + 10*f**2 + 257*f + 8. Let t be p(a). Solve -2*v + 0*v - t = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 179 = -z + 6*z + 149, -10*x - 58 = -2*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 111c9 - -7?\nAnswer: 11203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/7 (c) -16177779\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let k = 20.955 - 21. Let i = k + 5.045. Which is the closest to s? (a) i (b) 2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 1c5bba?\nAnswer: 1c5bbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 + r**2 - r - 1. Let u be f(-2). Let k = u - -20. What is the lowest common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**4 + 24*j**3 - 128*j = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4405274 to the nearest integer?\nAnswer: 2099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4768369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 159967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 35 = u, -4*u - 26 - 104 = -5*l. Suppose 9*c - 336 = 7*c. What is the units digit of c\/l + (-2)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/5)*i**(1\/3)*i)\/(i\/i**(-1))**33 assuming i is positive.\nAnswer: i**(-982\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-10)*-1*11\/319?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4983 + -950. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*l - 18 = g, 0 = 3*l - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1*-1*(-50)\/70*-7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19)\/(-4) - 2\/(-8). Suppose -2*a - 5*h - f = 0, -7*a - 4*h = -3*a - 8. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -3\/7 (c) -2129\/24 (d) 0.5 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 110021310213?\nAnswer: -110021310221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (24528\/21 - (0 + 0)). Let j = 2092 + r. What are the prime factors of j?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/6)\/(-17) + (-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 4*z + 4. Let g be 1\/6*3*-2. Suppose 0 = -2*y + 2 + 8. Let o(l) = l**2 - 3*l - 6. Let n be o(y). Let f(q) = q + 1. Determine g*s(w) + n*f(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 2. Let z be s(-3). Let q = 681 - 685.07. Let r = q + 0.07. What is the nearest to 2 in r, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -20243, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*r + 838*r - 271*r - 284*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 9:37 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2761244540.\nAnswer: 2, 5, 19, 7266433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 5. Let o be l(0). Suppose -o*x + 186 = -164. Suppose 0 = 4*a + 2*p - 0*p - 62, 3*p - 9 = 0. Calculate the highest common divisor of x and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*p - 8, 3*x = -p + 3*p + 10. Let d be (-192)\/42 + x*2. Let y = -0.3 - -0.7. Which is the nearest to d? (a) y (b) 3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12027240052 rounded to five decimal places?\nAnswer: 0.12027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 1\/2*n**3 + 1\/2*n - 1.\nAnswer: -(n - 2)*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-10))\/((-182)\/((-23660)\/(-39))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.053, 2\/13, -3\/25?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (256\/8)\/(-8)*(45\/(-2))\/(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.265 + -0.035. Suppose -4 = -4*f - 0*f. Let h = f + -3\/2. Which is the closest to h? (a) s (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 431\/5 (b) 0 (c) -6 (d) -209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1168.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*b**3 + 1)*(7403*b - 6012*b - 3916*b) to the form z*b**2 + p*b + s*b**4 + d*b**3 + w and give s.\nAnswer: -7575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96532 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f + 9*f = 14*f + 1020. Let v = 4 - -31. Let o = v + f. Calculate the remainder when 21 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 30.977. Let a = f + 0.024. Round a to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiijjjiyyji. What is prob of picking 3 j and 1 i?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-56) + 5\/(-20). Let n = 131 + -235. Let v = -205\/2 - n. Which is the closest to g? (a) -2 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 27 = q - 9*y, -9*q + 2*y = -6 - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -10. Let g be (1 + 0)\/(j\/6). Suppose -33 = -6*w + g*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150589.1 + 0.4.\nAnswer: 150589.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37052?\nAnswer: 2, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2522*v**4\/11 - 2742*v**3\/11 + 2106*v**2\/11 + 2350*v\/11 + 24\/11 = 0.\nAnswer: -1, -1\/97, 12\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1700))*-2*-3.\nAnswer: 6 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - ((-1*sqrt(66) - sqrt(66))*-1 - sqrt(66)))\/(1*sqrt(864)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 156 = 7*g, 22*b - 4*g + 13 = 12*b - 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 61 = -15. Suppose -2*k - 1 = n. Let v be (-60)\/(-24)*1\/((-10)\/k). Solve -v*d - 5 = 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, p: 3}. What is prob of picking 2 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a - 23. Let q(y) = -5*y + 8. Let b(m) = -11*q(m) - 4*w(m). Let o be b(2). Suppose -4*h + 132 = -5*t + 20, -4*h + 100 = -o*t. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpmp when four letters picked without replacement from {m: 2, p: 2, k: 1, o: 9}?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2 - 1401*n + 5. Determine b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hehhththhh. Give prob of sequence hteh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-27)\/(-2))\/((-3)\/(-4)). Suppose -11 = -c + f. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by -9?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 618856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.29587 micrograms to nanograms.\nAnswer: 51295.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46\/299 + (13 - (-1737)\/117)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 31003?\nAnswer: -30888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1222120 (base 3) to base 13\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b + b)*(-b + 2*b - 2*b) + 2*b**3 - b**2 + b**2 - 13752*b**3 + 4188870 - 4188870.\nAnswer: -13751*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:23 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-68) + -17 + (-54756)\/(-1768)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + 6*k - 4. Let h(z) = -5*z + 5 + 8 - 10 + 3*z**2. Let g(t) = -5*h(t) - 4*l(t). Let a(j) = -9*j**2 - 6*j - 6. What is a(d) + 6*g(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 5:18 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.46567s to minutes.\nAnswer: 1.0410945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 370764 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -48*l - 15320 + 15397 + 6*l. Calculate u(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 20*w + 3*o + 63 = 0, 4*o = -12. What is the lowest common multiple of w and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**2 + 9*n**2 + 22*n**2.\nAnswer: 43*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.331 + 11.331. Sort 2\/5, 1, -1, h.\nAnswer: -1, 2\/5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*q**3 + 67*q**3 - 3 - 2 + q**4 to the form c*q**4 + y*q**2 + d + j*q**3 + l*q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b933 (base 12) to base 5.\nAnswer: -1122333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271 - -276. Suppose d*z + 10 = 0, 2*r + z - 346 = r. Is r a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**6\/120 - a**4\/12 + a**2. Let k(q) = 5*q + 9. Let x be k(-2). Let y(g) = g. Calculate x*c(m) - 2*y(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -9582, -28, 0 in ascending order.\nAnswer: -9582, -28, 0, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**3 + 37*d**2 - 6*d + 1325. Let o(w) = 11*w**3 - 86*w**2 + 14*w - 2649. Calculate 3*o(v) + 7*x(v).\nAnswer: -2*v**3 + v**2 + 1328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 (base 11) in base 4?\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 7:30 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 - 313 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1711, 198, 2067, 3896, 5685, 7434?\n\"Answer: -20*p**2 + 1969*p - 3660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21928343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3800 or -3799?\nAnswer: -3800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4149*-167.\nAnswer: 692883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 197 and 4649?\nAnswer: 915853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -2. Let a = f - -6. Let l(v) = 3*v**3 + v**2 - 1. Determine l(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 7:04 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8249477317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:05 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q**2 + 122*q - 13. Determine d(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4 - -5. Let m = -6 + i. What is the third biggest value in -0.2, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.567 + -6.567. What is the fifth smallest value in 4, -2\/3, p, 0, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*m - 64. Let s = -465 + 474. Calculate the remainder when m is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*m - 267567, 5*m + 20*g - 445945 = 24*g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**6\/6 + 3*s**5\/20 + 2*s**3\/3 - 3*s**2 - s - 2. What is the second derivative of g(u) wrt u?\nAnswer: 60*u**2 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -169*x - 146*x - 383*x + 0*x + (-3*x + 4*x + x)*(-2 + 1 - 1).\nAnswer: -702*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 829.87521 to 1 decimal place.\nAnswer: 829.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 126*l + 2*l**3 - 127*l - 4*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4289 (base 10) to base 4\nAnswer: -1003001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156 by -52.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 128*u - 13. Let n(t) = -t + 21. Let r be n(8). Is f(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -8*f**2 - 5*f. Let a(z) = -4*z**2 - 2*z. Let y(p) = -5*a(p) + 2*h(p). Let d(m) = 10*m**2 - 142*m + 142*m. Determine d(y(s)).\nAnswer: 160*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3cd835 - 2a?\nAnswer: 3cd809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -29. Suppose -6*n = -49 + l. Solve -g - 1 = -2*c - 10, n*g + 5*c = 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10) - (24 + -24).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 838 divided by 752\nAnswer: 419\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, r: 1, k: 14}. What is prob of sequence ks?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 2*d - 26, 3*n + 11*d - 21 = 8*d for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81525314, 81525308, 81525302, 81525296, 81525290, 81525284?\n\"Answer: -6*i + 81525320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158239376 - 0.2.\nAnswer: 158239375.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2219)\/(-317)*((-3)\/2)\/(32\/64).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Let l(n) = -5*n + 30. Let x be l(6). Let r be s(x). Sort 5, -3, r in ascending order.\nAnswer: -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10028 and 583418?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + 2. Let z = -49 + r. Is z smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 14*x**2 + 8*x + 1. Let o be q(-9). Let w = -4809\/19 + o. Which is the fourth smallest value? (a) w (b) -0.05 (c) 1\/3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 46 (b) 2\/3 (c) 0.4 (d) -122 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p**2 + 4*p + 67*p**4 - 63*p**4 - 2*p**3 + 101 - 101 + 4*p**2 to r*p + s*p**2 + k + i*p**3 + m*p**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 6 = -2*z. Let w be (z\/(-6))\/(3\/6). Calculate the highest common divisor of 10 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/68 and 109\/12?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079 - 2255194475?\nAnswer: -2255194475.0079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 22.6. Let t = 0.74 - 5.04. Let i = x + t. What is i rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2117 - 1507. Let b be i\/9 - 2\/(-9). Suppose 5*r = -2*u - 0*r + b, 34 = u + 5*r. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/3 (c) 31\/3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05354 take away -1.0695?\nAnswer: 1.12304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3952 and 127504?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -1 - 3) + 11. Are 6 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 - 76. Solve 4*l + 4 = -u*c + 2*l, 3*c = -2*l - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.669 - 617109.\nAnswer: -617091.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, 16, 500, 4, 23 in descending order.\nAnswer: 500, 23, 17, 16, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29993982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -1\/8*m**6 + 1\/12*m**5 + 5\/336*m**8 + 5\/12*m**4 - 1\/42*m**7 + 0 + 0*m**3 + 0*m + 17*m**2. Factor y(g).\nAnswer: 5*g*(g - 2)*(g - 1)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 358 = 364, -8*l - 10 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6707766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -14*n**5\/5 + 219*n**4\/4 + 937*n**2\/2 + 4*n - 6697. Find the second derivative of l(d) wrt d.\nAnswer: -168*d**2 + 1314*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*11048560.\nAnswer: 33145680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 16a68?\nAnswer: -16a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 199*w - 202*w = -5, -4*w + 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 60 = 12*d. Let q be (d\/8 - 1)*0. Sort -6\/11, q, -3 in descending order.\nAnswer: q, -6\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740000 = -10*c + 8*c. Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35122304193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391445 is divided by 3011?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2876, 0, -66, 9\/22.\nAnswer: -66, -0.2876, 0, 9\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1855 - 1851 + 3700 + 26*w + 16*w to l + o*w and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1239))\/((-38)\/(-266)).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2195 in 1\/2, -0.08, -0.04?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8322762 - 4.60743?\nAnswer: -8322766.60743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.04 - 0.04. Let u = 0.8 - h. Let w = -4 - -2. Which is the nearest to 2\/5? (a) w (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3329 + 3353.5. What is the biggest value in -3\/5, 2, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(2\/11)*k*k*(k\/((k**8\/k*k)\/k))\/k*k**(-2\/25)*k**(1\/4) assuming k is positive.\nAnswer: k**(-4013\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 327 - 1399. Let v be ((-171)\/(-95))\/((-5)\/1425*1). Let j = v - l. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0969 + -2.0969. What is the smallest value in 2, h, 0.5, 61?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 + 5)) + 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1226, -3109, -5710, -9035, -13090, -17881?\n\"Answer: -r**3 - 353*r**2 - 817*r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2 + 14*p - 81. Let r(m) = -9*m**2 + 29*m - 162. Let i be (-189)\/36*4\/(-3). Let q(c) = i*g(c) - 4*r(c). Factor q(h).\nAnswer: (h - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -713.94341 and -0.5?\nAnswer: 713.44341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 4, h: 1}. Give prob of sequence qh.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 15, 973 in descending order.\nAnswer: 973, 15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(5 + 21472\/(-4292)). Is -1 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l + 5 = 0, l - 13 = -4*n. Let m = -5759 - -45971\/8. What is the common denominator of m and (-1)\/3*n\/(-20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {i: 3, v: 2, z: 9, q: 3, y: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 less than 26853416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxqjjpijxjqpjhhpjj. What is prob of picking 1 x, 1 j, and 1 q?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 7. Suppose -150 = -4*c - 21*c. What is the lowest common multiple of c and o(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10952627 divided by -107.\nAnswer: -102361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 - 11*l**2 + 20*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -358*d - 19*d**2 + 175*d - 2 + 185*d as v*d**2 + m + n*d and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 86\/7767481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 771*k + 2*h = 772*k - 104, 390 = 4*k + 5*h. Is k a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -18. Suppose -q = -j*q - 2. Solve 3*x - q = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796238*t - 17*t**2 + 796238*t.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -118. Let l = -86 - b. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*((sqrt(637) + 1 + sqrt(637) + -5 - sqrt(637) - 3*(sqrt(637) + -1*sqrt(637)))*4 - (3 + (-1 + sqrt(637) - sqrt(637))*-3 + -4)))**2.\nAnswer: -4032*sqrt(13) + 42064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + 0.17. Suppose 4*f - 1 = -5. Which is the nearest to f? (a) -3 (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 1312*w + 14 - 4 + 487*w to the form k + z*w and give z.\nAnswer: 1799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 2*x + 9. Let y(b) = 3*b**2 + b + 11. What is 6*s(n) - 5*y(n)?\nAnswer: 3*n**2 + 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2007*a**3 - 4*a**2 - 3*a - 6. Let c(u) = 26092*u**3 - 53*u**2 - 41*u - 81. What is 2*c(q) - 27*d(q)?\nAnswer: -2005*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = 2*i, -20 = -8*r + 3*r. Let s(g) = -g**2 + 2*g - 3. Let p be s(i). Is 42 a factor of (p - -5)*9*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-5) + 4\/5. Let f(m) = 85*m. What is the units digit of f(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3515832 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09724*-2.\nAnswer: 0.19448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/(-33) - (-2 - 0). Let o = -63031 - -63030.9. Is b greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9) - (-1)\/(-18)*2166\/(-988)*5\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3824892342?\nAnswer: 2, 3, 227, 936097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 36 = -5*v + v, l = -4. Suppose 23 = -v*k + 33. Solve 0 = -k*f + 4*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16410 + -1983. Is (8\/(-6))\/4*n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8717 take away 1848.208?\nAnswer: -1847.3363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g + 5*g**4 - 2*g**4 - 7*g**4 wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 938279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 275700 to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10725 + 10725.4. What is the third smallest value in -2, 1\/2, o, -154?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1052 + 37\/((-148)\/8). Calculate the highest common divisor of 1950 and a.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/4*(-12 - (-2366)\/195). Find x such that -5\/6*x**4 + 0 + 0*x + 2\/3*x**5 + h*x**3 + 0*x**2 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0957376 centuries to decades.\nAnswer: 0.957376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = 5*n + 51, -2*x = 3*n + 26. Let j be 3\/(-5) + ((-288)\/(-40))\/9. Which is the third biggest value? (a) j (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1006*d*g**3 + d*g**2 - 359 wrt g?\nAnswer: -6036*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 14*j + 37. Give f(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r**2 - 777*r - 12484. Calculate h(-14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 26 - 2. Suppose -k = -0*k + 2*n - 205, 0 = -4*n + g. Suppose -1304 = -3*q + k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f\/(f\/f**1)))*f*f)**(-6)\/(f*f**(-2\/13))**(-39) assuming f is positive.\nAnswer: f**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*w + 123, -2*f + 0*w = -3*w - 82. Let b = f - 19. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 14, z: 1, o: 1}. Give prob of picking 1 t and 1 o.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(((q*q**(-1))\/q)\/q)*q)**(-4\/19)\/(((q\/(q*q**(4\/3)\/q))\/q*q*q)\/q*q**(-2\/15))*((q**(-1\/3))**(5\/18))**(24\/11) assuming q is positive.\nAnswer: q**(-7411\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*832\/416*2\/3*3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 9:16 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 + 2 = 0. Suppose 0 = 4*k - s*k - 4. Suppose -a - 3 = -k*a. Let q(r) = -4*r**3 - r + 3. Let d(z) = -z**3 - z + 1. Calculate a*d(n) - q(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 11:46 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002258 rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -565 - -563. Which is the nearest to v? (a) 5 (b) 0 (c) 3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -4*o - 5*q + 83, -5*o = -109*q + 114*q - 85 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2726696 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4041 is divided by 254?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Suppose m*g = -4*g. Suppose g = -o + 5*u - 2395, 4782 + 2423 = -3*o - 5*u. What is o rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**2 + 6*b - 17. Is m(5) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 10*m**4 + 356*m**3 - 910*m**2 + 88*m + 456 = 0.\nAnswer: -38, -3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -111101101101?\nAnswer: 111101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, 2\/15, -1.23?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 34117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z + 5 = -3*c, -2*c - 2*z = 0. Let t(a) = 1 - 5*a**2 - 10 + 9*a + 2*a**3 + 1 - 1. Is t(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/7 in -3, -1703, 0.2, -5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.24, 0.4, 5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22436 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-105)\/(-18) - 6). Let n = -55 + 16. Let s = w - n. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 7*h**2 + 4*h - 8. Let v be t(-6). Suppose -10 = -x - v*x - n, -2*x + 4*n = -26. Suppose x*y - 44 = -y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from zejztei.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3)*2 + 2 + (sqrt(3) - (sqrt(3) + sqrt(12)\/(2*sqrt(4))))*1 - ((2*sqrt(432))**2 + (sqrt(243))**2 - (sqrt(243) + 1 + 2)**2).\nAnswer: -1717 + 115*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {c: 8, n: 7, b: 5}?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 340480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 3*x + 3*x - 10*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 86529.53.\nAnswer: 86526.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-139875)\/(-4476)*(-4)\/(-2)*-2.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 49249 = 6*f. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 12 = 7*z - 58, 5*t + 5*z = 34 + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3 - 7 + 4 - r**2 + 10*r. Let o be h(9). Let v = 1538\/21 + -220\/3. Which is the third biggest value? (a) o (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 0*s**3 + 3*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 3*d + 2*d**2)*(d + 0*d + 0*d) + 2*d**3 - d**2 + d**2 + (-6*d + 2*d + 2*d)*(-29 + 29 + 8*d)*(130*d - 33*d + 63*d).\nAnswer: -2556*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceqtwteccft. What is prob of sequence cq?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/10, 0.5, 2\/13, -2191?\nAnswer: -2191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496211850 to the power of 1\/3, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10778 = 1868*o - 134066 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + 1 + sqrt(468).\nAnswer: 10 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**4\/3 + 290*r**3\/3 - 620*r**2 + 3800*r\/3 - 2560\/3 = 0.\nAnswer: -64, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14350000 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 69. Which is greater: 3\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 18358*f = -18360*f - 65, -4*x = -2*f - 56 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21735 and 148925?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -18. Let j be 2\/(-5) - (-635)\/(-350). Let f = 15\/7 + j. Which is greater: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7329)\/28)\/(10 + -28) - (-129)\/(-344)?\nAnswer: 85\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 13 = 5, 5*a - 17 = -3*r. What are the prime factors of 0 + 149 + a + -4?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 13*w + 352. Let f be 14\/21*w\/(-56). Which is the nearest to -1? (a) f (b) 5 (c) -0.1 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**5\/60 - f**2. Let d(o) be the first derivative of 0*o**2 - 2 + 0*o - 1\/3*o**3. Calculate d(s(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 468, 1000, 1750, 2730, 3952?\nAnswer: 5428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 1, a: 9}. Give prob of sequence lx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/2 - p\/2 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 11:49 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 102 = 53*z. Let a = 4 + -7. Is a not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -4*l - 3, 0 = 3*l + 4*c + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 16*j - 13*j + 7*j**3.\nAnswer: 6*j**3 - 29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 54 + 446. Suppose z - 2*r - 52 = -6*r, -z + 2*r + 4 = 0. What is the smallest common multiple of z and h?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d + 15*d + 51*d + 31*d to the form n + s*d and give s.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 29*y**2 + 50*y - 44. What is the thousands digit of x(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -129, -12, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 3. Let i = u + 9. What is the second derivative of 7*l + 4*l**5 - 5*l**5 - i*l + 0*l**5 wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 356, 355, 354?\n\"Answer: -c + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**24*s\/(s\/s**(-2))*s*s\/(s\/(s*(s\/(((s*s**6)\/s)\/s))\/s))*s*s**14 assuming s is positive.\nAnswer: s**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2139 and 13.\nAnswer: 27807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 14*r + 3. Let n(f) = 2*f**2 + 16*f - 2. Let o(g) = 3*i(g) + 2*n(g). Let h be o(15). Round h to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 11:00 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 154485800 to the nearest one hundred thousand.\nAnswer: 154500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76963380 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*k**3*m - 68632*k**3 + 188239*k**2*m - k*m - 2*k + m + 78 wrt m.\nAnswer: -28*k**3 + 188239*k**2 - k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1311450, 1311469, 1311488?\nAnswer: 1311507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d + 106. Let t be c(-13). Suppose 0 = -5*f + 10, t*f - 429 = -3*p + 376. What are the prime factors of p?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 433145.1 millennia?\nAnswer: 43314510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3782 and 26643632.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175 - -536. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + 1.4. Let t = -18 - -17.8. Which is the second smallest value? (a) 4 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*t - 73*t + 18*t)*(-3*t + 0 - 4 + 3).\nAnswer: 105*t**2 + 35*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**2 + 7*j - 85. Suppose 4*w = -4*f + 44, -2*w - 55 = -9*f + 4*f. Let v(n) = -6*n - 20. What is f*q(o) + 4*v(o)?\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewee. Give prob of sequence eeew.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 q, and 1 y when three letters picked without replacement from {q: 3, l: 2, y: 3, f: 5}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, e: 1, p: 1, f: 4, q: 8}. What is prob of sequence ep?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16*y**2 + 11*y + 6. Let q be -21 - (2\/1 - 3). Let f = q - -18. Let x(i) = -3*i**2 - 2*i - 1. What is f*t(g) - 11*x(g)?\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - 7) - (127 - 144).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 3*x + 42, -3*f = -8*f + x + 34 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*m*o**3 - 477472*m*o**2 - m - 794*o**3 + 2*o**2 wrt o?\nAnswer: -102*m - 4764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 + 6*p**2 - 2. Let x(k) = 9*k**3 - 19*k**2 + 7. Let y(q) = 7*f(q) + 2*x(q). Find the third derivative of y(n) wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 0*a + 0*a)*(-27 - 10 + 3).\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - v = -6, x - 2*x - 3 = 3*v. Let d be 6 - (0\/(-2))\/x. Let u be 111\/(-21) - d\/(-21). What is the biggest value in u, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.02 (b) -1\/4 (c) -0.066\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) - (sqrt(243)*-2 + sqrt(243))))*3 - sqrt(243))\/(-4*(sqrt(729) + (sqrt(729) - (-1*sqrt(729) + sqrt(729))))).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 1 - 1)*((-3*a - a - 3*a)*(-182 - 21 + 43) + 3*a - a - a)*(-a + 6*a - 4*a) to the form x + p*a + c*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(0 - 4\/(-10)). Suppose 0 = -3*v - r*n + 2, 3*v - 5*v + 5*n + 18 = 0. Let g be v\/((-1)\/(3\/(-6))). What is the smallest value in -4, g, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/sqrt(324))\/(sqrt(784) + 3*sqrt(784)) + 1.\nAnswer: sqrt(3)\/168 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003722 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*k + 1111*k + 42*k = -1185*k + 179480 for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5 - 4*x**4 - 28*x**3 + 52*x**2 - 24*x = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 5*q - 3*m, 5*q = -m + 13 - 151. Let u(o) = o**3 + 9*o**2 + 17*o - 8. Let b be u(-6). Sort b, 0, q in decreasing order.\nAnswer: 0, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -271 + 558. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - -1*sqrt(3))**2 + -5 - (sqrt(147) + 1)**2.\nAnswer: -141 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -53*b + 216. Let t be u(4). Solve -10 = 9*n - t*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14a1 (base 11) in base 10?\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 237 = 3*z, f - 5*z = 4*f - 245. Let h(j) = 6*j**2 - 2*j + 2. Let s be h(3). Calculate the highest common divisor of s and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 581*t**3 + 34*t**2 - t - 1064?\nAnswer: 1743*t**2 + 68*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-9 - (-20 + 13 - -9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*z**3 - 336*z**3 + 35*z**3.\nAnswer: -333*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894399910.\nAnswer: 2, 5, 31, 53, 54437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*h + 25*h - 3*q + 6, 2*q = 4*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (3 - 6 - 0 - -13) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.5. Let g = -71 + 354\/5. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14881, 14869, 14853, 14833, 14809, 14781, 14749?\n\"Answer: -2*h**2 - 6*h + 14889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**4 - 2*l**3 - 2*l**2 + 10. Let c(g) = 2 - 3*g**3 - 5 - 5 + 17 - 3*g**2. Let j(q) = -6*b(q) + 4*c(q). What is the first derivative of j(f) wrt f?\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 3)\/(10\/(-145)). Calculate the highest common factor of 29 and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 461 (base 9) to base 13\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a**2. Suppose -h + 24 = -4*q, -q = q + 5*h - 10. Let o(t) = -4*t**2. Let p(w) = 2*w**2. Let i(k) = q*p(k) - 2*o(k). Give v(i(g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616 and 21000?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from syxxofxysfxxss.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3186 and 69843.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((459\/(-36) + 13)*112\/(-22) + 6)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*h - 20 = 3*h, 0 = -2*h + 8. Let t(a) = 2*a**2 + 13*a + 31. Let j be t(-3). Let k = n - j. Is k greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 127.83.\nAnswer: -127.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*f**3 + 1740*f**2 + 8325*f + 10250.\nAnswer: 5*(f + 82)*(2*f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*t - 12*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(2) + 4 + 0)**2 + ((sqrt(54) + sqrt(6))\/sqrt(3) - sqrt(8)\/sqrt(4)*6) + -4.\nAnswer: -10*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1817, -200, 11\/2?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 41823216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Let q be 2\/4 + (-2)\/w. Solve q = -2*n + 3 + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8d8 (base 14) to base 6\nAnswer: -12050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12726*p**3 + 12723*p**3 + 473*p**2 + 68*p - 68*p to m*p + x*p**3 + z*p**2 + t and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/3 of a minute in seconds?\nAnswer: 380","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*k - 43*k + 75*k - 7*k**2 + 13*k.\nAnswer: -7*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56.2 - 35.\nAnswer: -91.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863383 is divided by 2452.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14688214*h**3 - 55*h**2 + 416*h - 6 wrt h.\nAnswer: 88129284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = d - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 248\/(-18) + -2 - (-6)\/(-27). Let y(a) = -a**2 - 20*a - 64. Let o be y(f). Solve o = 3*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 9*i + 19. Let c(a) = -9*a + 1. Let h be c(1). List the prime factors of v(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*d - 181218 = 312594. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 2*q - 2. Let r(s) = -s + 1. Let d = -44 + 42. Give d*r(a) - n(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -243*z**5 - 997994*z**4 - 67776*z**2 - 725?\nAnswer: -14580*z**2 - 23951856*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**3 - 4*k**2 + 4*k + 51. Let r(u) = 4*u**3 - 5*u**2 + 5*u + 51. What is 4*r(h) - 5*w(h)?\nAnswer: -4*h**3 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 424, 2\/13, 0, 2\/3, -0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -61, 6, 11 in increasing order.\nAnswer: -61, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2468\/50119 or 1?\nAnswer: -2468\/50119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 + 8*m**2 - 67*m**2 - 148 - 78*m**2.\nAnswer: -137*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -131, -245, -381, -533, -695, -861?\nAnswer: -1025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 26*l**2 + 2*l - 25. Let q = 58 - 45. Let r be m(q). Is -1\/101 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 4693*l - 33.\nAnswer: 4693*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (1 - (-3)\/3). Let k = u + 3. Let o = -1\/3 + k. Which is bigger: -0.2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 1 - 3 - 2*l)*(0*l**2 + l**2 + 2*l**2) to the form u*l + h*l**2 + b*l**3 + g and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12987 + -12986.10005. Let c = -0.9 + a. Round c to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1316 - -1320. Let t = -57 - -397\/7. What is the second smallest value in 3\/2, v, t?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -12?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39 + -36 + (0 + 1 - 2). Let c = t + 0. Solve 4*o - c + 14 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -29*u - 3. Let d be b(3). Let m = 92 + d. What is the remainder when 4\/((-6)\/m + 252\/81) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*8*(-10)\/(-96) + 526. Calculate the highest common factor of z and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11890883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*k - 666 + 114 = 0 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 432\/(-4539) - 5\/((-85)\/2). Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 816 - -4213. Let i be (-16)\/(-64) + (0 - n\/4). Is (6\/9)\/((-2)\/i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.643 * -15.622\nAnswer: 197.508946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -7. Solve -5*x = 3*b - 5, b - o = 5*x + 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/9 + 6\/(-9). Suppose 2*h - 6*h = 4*w - 72, g = 5*h - w - 60. Calculate the remainder when 23 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**20*s*s)\/s**(-13))\/(s*s\/(s**10*s*s))**(-6))**34 assuming s is positive.\nAnswer: s**(-850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 5*g + 2. Let h be t(3). Suppose h*w + 138 = 16*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:07 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 12*r = -120 + 62, -7*l - 2*r = 61 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 62*t + 14*t + 16*t + 13*t + 12*t.\nAnswer: -7*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/28580511 and 59\/13497?\nAnswer: 314385621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/60 + 3*x**4\/4 - x**3\/6 + 1494*x**2. Determine g(12).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23003010 - 130?\nAnswer: -23003140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(2*f - 4*f + 4*f) + (f + 2 - 2)*(-1 - 2 + 18) + 5 + 3*f - 5.\nAnswer: 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 166, 171, 176, 181, 186?\n\"Answer: 5*h + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 7115*n**3 - 7114*n**2.\nAnswer: -n**2*(n + 1)*(n + 7114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -3413233?\nAnswer: -3413223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2780100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 5*k, 2*k = -2*k - 4*t - 16. Which is greater: 0.13 or k?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11717656*c*v**6 - 2*c*v**2 + 1116*c*v - c - v**2 + 3*v wrt v?\nAnswer: -1406118720*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151*o**2 + 68*o**4 + 80*o**4 - 4*o**6 - 9*o + 14*o + 300*o**2 + 2*o**6 wrt o.\nAnswer: -240*o**3 + 3552*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 - 7*o + 1. Let y be r(7). Differentiate 0 - v + 2 - 2*v + y with respect to v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310231 (base 4) in base 16?\nAnswer: -2d2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and -8*3*(-447)\/12.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*c, -284 = -2*k + c + 3*c. Let p = 4582 + -4432. Which is greater: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431290311.\nAnswer: 3, 1279, 112403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 942251 and 86089.\nAnswer: 411763687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 989 and 43?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*u + 10*u + 158 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 6*s = -2*d + 142 - 17, -3*s - 2 + 12 = -2 - 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.8 and -0.018323.\nAnswer: -0.3261494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/z*z**(-1)*z)\/((z**(-4\/11)\/z)\/(z\/(z\/z**(-1\/4)))) assuming z is positive.\nAnswer: z**(-171\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-4) + (-1 - -1). Solve 5*z - 3 = -3*f + 6*f, 3 = -h*f + 3*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 138 = -3*l, b + 25 = 2*l - 15. Let j = 40 + b. Find the third derivative of -4*f**5 - 4*f**2 + 21*f**2 + j*f**5 + 13*f**6 wrt f.\nAnswer: 1560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 - 3*t**2 + 3*t - 4. Let j(u) = -9 - 10*u**3 - 4*u**3 - 7*u**2 + 7*u**3 + 7*u. Determine 4*j(i) - 9*z(i).\nAnswer: -i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63.7 and -0.4.\nAnswer: 25.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/10 + (-7)\/7. Which is the biggest value? (a) 13\/3 (b) h (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1)\/(13\/(-13)). Let s = p + 1. Is s at most -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -47734*t + 190925. Determine u(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, 1, -9998, 0.2, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 313?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(4131) + sqrt(4131) + sqrt(4131))\/sqrt(3) + -4 + -3 + (-2*sqrt(2448))**2 + (-1*sqrt(2448) - sqrt(2448))*3.\nAnswer: -72*sqrt(17) + 9784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)*j*(j\/j**(3\/10))\/j*(j**6)**15)**(-19) assuming j is positive.\nAnswer: j**(-17157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (41 - 39)*2\/(-6). Which is the closest to -4? (a) 3 (b) -3\/7 (c) r (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*l - 4, 9 = 3*k - 6*k + 5*l. Suppose 12*v - 9*v = -5*b - 65, -5 = 3*b - 5*v. Let s be (k\/(-6))\/(b\/(-15))*-6. Solve 2*d + s - 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**2\/2 + 7*h + 4. Let f be n(-5). Suppose f*s + 3 = 3*s. Solve 4*p = i + 1 - 17, 12 = -i - s*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77334403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = 2175*x - 2203*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - i - 1. Let k = -6623 + 6624. Let j(p) = -p**2 + 4*p - 7. What is k*j(a) + 3*w(a)?\nAnswer: 2*a**2 + a - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260832 divided by 32.\nAnswer: 8151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 6*d**2 + 5*d + 27. Let w be v(7). Let x be 3\/15 - 1 - (w - 13). Which is the nearest to 1\/3? (a) 0.4 (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) + 4*sqrt(1620)*6)\/(sqrt(108)\/((sqrt(84)*2 + sqrt(84))\/sqrt(7)))*6)**2.\nAnswer: 36450000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135700 and 3068?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4133 - -4197. Which is bigger: 68 or k?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2653303 (base 8) to base 7\nAnswer: 6213331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 6. Let p = -2550 + 2537. Calculate d(p).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 65\/3. Let o = 4020.58 + -3958. Let r = o - 4.58. Is r smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 37.9999977. What is o rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 10*n**2 + 51*n - 26. Let h be q(11). Let m = h - 907. Is m a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161317?\nAnswer: 13, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 4.03. Suppose 6*n - 223 = -85. Which is the biggest value? (a) n (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 17. What is the lowest common multiple of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 5*f**2 + 5*f. Let y(q) = -q**3 + 4*q**2 + 12*q - 6. Let t be y(6). Calculate the remainder when 19 is divided by c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/7)\/(k\/(k**(6\/13)*k*k)))**26)**(-18\/11) assuming k is positive.\nAnswer: k**(-6192\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 19 + 3 - (4 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from ppccccpc?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 264531627 to the power of 1\/2, to the nearest integer?\nAnswer: 16264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -10455*m + 21. Let i(p) = -5222*p + 12. Let x(d) = 4*g(d) - 7*i(d). Let z(h) = -2*h. Give x(z(y)).\nAnswer: 10532*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 5. Let d(x) = -3*x - 6. Determine -4*a(w) - 3*d(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001025724 rounded to 5 decimal places?\nAnswer: 0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:09 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719?\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141025 divided by -5.\nAnswer: 28205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/308 and 16\/18319.\nAnswer: 806036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/5, 16, -1, 46\/7, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-18)\/4)*240\/(-32)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-276)\/80*-36 - (-2)\/(-10). Let i = q + -82. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 7*i = v + 3*v - 188, 0 = 15*v - 38*i - 902 for v.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 116556, 116558, 116560?\n\"Answer: 2*s + 116554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 149, 204, 361, 674, 1197, 1984, 3089, 4566?\n\"Answer: 9*w**3 - 3*w**2 + w + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1813, -1814, -1815, -1816?\nAnswer: -1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2 + 0)*-1. Let a be i\/(-3)*(-3)\/2. Let o be 4 - (-2 + 1 + 3). Solve 0 = 5*s - 10, -3*s = -n - o*s - a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2030 + -2029.8. Which is the biggest value? (a) 54 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 7 = 3*i + 17, 0 = -5*l - i + 26. Differentiate -11 + 0*b**2 - 3 + 4*b**2 - l with respect to b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 2:03 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138736705 to the nearest integer?\nAnswer: 11779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -703*o + 234*o + 229*o + 230*o. Let z(x) = -18*x**2 - 2. Give t(z(p)).\nAnswer: 180*p**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 505376 and 14688?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3033174.5 rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 115 + -5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 166\/5*360\/(-144). Sort 1, 2\/13, u.\nAnswer: u, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8813, 7925, 7035, 6143?\n\"Answer: -p**2 - 885*p + 9699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 5, z: 2, u: 2}. What is prob of picking 2 z?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*f + p - 0*p, 3*f = -p + 1. Let s be -1*(4 - (f - 0)). Let u(l) = -l**2 - 6*l - 4. What is u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7616292*f**4 + 146*f**2 - 3571 wrt f?\nAnswer: -182791008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179511?\nAnswer: 3, 53, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:27 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 11*h = -49, -24042*u - h + 6 = -24044*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:34 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133*(-524)\/731766 + 22\/42 + -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -1. Sort l, -0.3, 0.08 in descending order.\nAnswer: 0.08, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 161 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8602341 is divided by 2878?\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -30. Let i = 9.6 - u. Let x(z) = z**2 + 8*z + 9. Let w be x(-7). Which is the closest to -0.1? (a) w (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. Let i(t) be the second derivative of t + 0 - 1\/20*t**o + 1\/12*t**4 + 1\/6*t**3 - 1\/2*t**2. Determine c, given that i(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 77.53. Let b = i - 1.044. Let d = -0.066 + b. Round d to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363*l**2\/4 - 2150577*l - 12740995683.\nAnswer: -3*(11*l + 130338)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2187 divided by 1.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 5 - 5)*(18*o - 186*o - 66*o)*(9*o**2 - 2*o**2 - o**2) to the form x + t*o**3 + h*o**2 + j*o and give t.\nAnswer: -8424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 135*r**2 - 24*r - 24. Let u(h) = 60681*h**2 + 7 - 60708*h**2 - 2 + 5*h. Give 5*l(d) + 24*u(d).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 - 369. Let r = 2021.91637 + -2210.9151. Let j = x - r. Round j to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 24 - 108*u**2 + 24*u**2.\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -416 + 93. Let h = -2.418884 + 0.418884. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((-4 - -7) + -5)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 4125?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/7 - 36*q**3\/7 + 202*q**2 + 144*q\/7 - 5624\/7 = 0. What is q?\nAnswer: -37, -2, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3639 is divided by 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**4 - 10*l**3\/3 - 10. Find the third derivative of h(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 215, 245, 269, 287, 299, 305, 305?\n\"Answer: -3*v**2 + 39*v + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233424231 + 10?\nAnswer: 233424241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 - 2865*f**3 + 406090*f**2 + 1238400*f + 829440.\nAnswer: 5*(f - 288)**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 75*v + 400. Let j be m(80). Suppose j + 1\/2*w**2 - 7*w = 0. Calculate w.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52455 divided by 5\nAnswer: -10491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -503936, -503934, -503930, -503924, -503916, -503906?\nAnswer: -503894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4151898.\nAnswer: 2, 3, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17322, 17415, 17616, 17925, 18342, 18867, 19500?\n\"Answer: 54*w**2 - 69*w + 17337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + c = -5, 0*c - 9 = 3*o - 3*c. Let g = -454 + 13164\/29. Let u = -3110 + 3110.1. What is the biggest value in g, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 8*j - 13. Let b be s(-7). Let h be ((-36)\/b)\/(24\/160). Solve 3*d = 6*d + h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 6*s**2 - 4*s + 15. Let n be v(6). Let w = 10 + n. Sort -2\/3, w, -1, 0.12 in decreasing order.\nAnswer: w, 0.12, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r = 0. Suppose -3*g - g = r. Solve 3*c + g*c = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -22, -49, -106, -205, -358, -577, -874?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -69*x**3 + 142*x**2 - 13*x - 23. Let f(n) = -11*n**3 + 24*n**2 - 2*n - 4. Let j(w) = -3*b(w) + 19*f(w). What is j(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 - 0.8. Let g = 5177.2 - 5177.4. What is the nearest to g in l, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 29*k**2 + k - 30. Let h be g(29). Let v be h + (-22)\/(-26) + (-30)\/(-26). Solve -3*x = v + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13772094, -13772092, -13772090, -13772088, -13772086, -13772084?\n\"Answer: 2*o - 13772096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 + 1)*(3*w**2 + w**2 - 2*w**2) - 7*w**2 + 10 - 8 + 0*w**2 to y*w**2 + r + z*w and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 17833.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90083663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 2*o**2 - 6*o**2)*(1 - 6 + 4 + (-5 + 4 + 0)*(-4 + 2 + 4)*(-3 - 2 + 4)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.3844618 minutes?\nAnswer: 0.00165587625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 16*v + 28. Let r(m) = 14*m + 24. Let g(b) = -6*d(b) + 7*r(b). Let q(k) = 126*k + 14. What is q(g(h))?\nAnswer: 252*h + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**4 + 60*a**3 - 309*a**2 - 474*a + 720 = 0.\nAnswer: -24, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 + 14631096.\nAnswer: 14631095.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**6\/120 + j**5\/10 - j**4\/24 - 7*j**3\/6 + 27*j**2. Suppose 3*a + 2 = -g + 3, 43 = -5*g + a. Let l = -2 - g. Calculate s(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 10 = 5*g, -2*g - 165*o = -166*o + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gssg when four letters picked without replacement from {s: 3, c: 2, g: 7}?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81645918?\nAnswer: 2, 3, 13607653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -131644 divided by -4\nAnswer: 32911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1263 - -1258. Which is the second smallest value? (a) 0.06 (b) -2\/143 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.4 + 4. Let i = 15.4 + -15.34. Let u = 0.061 + -0.061. Sort n, u, i, 2 in descending order.\nAnswer: 2, i, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 5413.\nAnswer: 17\/5413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/60 + a**4\/6 + a**3\/3 + a**2. Let n be (10\/15)\/((-28)\/(-168)). What is f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*b = -52224352 + 52220138 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43940127391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 348*i**2 - 19*i + 5. Is y(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 10) to base 11.\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3777.745m?\nAnswer: 3777745000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 + 9*o - 15. Suppose -929 = -10*n - 299. Suppose 4*i = -5*i - n. Does 27 divide k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222738 is divided by 55377.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o - 2. Let k be n(2). Suppose -3*w + k*w + 15 = 0. Which is the nearest to -1\/2? (a) 0.2 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Find the third derivative of -3*m**5 - m**2 - 3*m**5 + 3*m**5 + j*m**2 wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l**3 - 8*l**3 - 39*l**4 + 13 + 17*l**4 - l + 21*l**4 - 9 - 34*l**2 as i*l**4 + y*l**3 + c*l + v*l**2 + k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -8.6. What is the closest to 2 in l, 1, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7411, -10219, -13027, -15835?\nAnswer: -18643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 601*i - 25965. Calculate y(42).\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015295608 to 6 decimal places.\nAnswer: 0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65892.59 nanograms to milligrams.\nAnswer: 0.06589259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -8. Suppose 4*m - 8 - c = 0. Calculate the greatest common factor of m and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfddrffjgj. What is prob of sequence jgj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m**(-4\/5))\/(m**(3\/2))**(5\/8))**(-30) assuming m is positive.\nAnswer: m**(657\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1029.9 - -917. Let o = w - -113. Let g = 3.1 + -3. Which is the nearest to o? (a) -0.4 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (3 + 5 + -7 + -2)) + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131.6 - -179.05. Let p = 2.63 + d. Let a = -1.08 + p. Are a and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 2, f: 4, q: 3, b: 6}. What is prob of sequence bf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, b: 4}. Give prob of sequence bdd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t**2 + 45*t + 2. Let u be l(0). Solve 10\/11*n**4 + 0 + 4\/11*n - 10\/11*n**u - 4\/11*n**3 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -5*o**2 + 1\/6*o**3 + 0*o + 0. Let z(a) = a - 4. What is -2*k(m) - z(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**3 + 200*l**2 - 2688*l + 4608 = 0?\nAnswer: 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/(-195))\/2*(-4 - 2). Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 137748195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f + 45. Suppose 4*s - 84 = -24. Let p be 4\/20*s\/6. Is p > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -55. Let r = -10.2 - -10. Which is the second smallest value? (a) w (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -173219430 to the nearest 1000000.\nAnswer: -173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41305, 82422, 123539, 164656, 205773?\n\"Answer: 41117*o + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 190 or 946\/5?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 1813462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 22*k + 87 + 166 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (-6 + (1 - -5) - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 60. What is the first derivative of -8 - p + 21*c**4 + 2*c**4 wrt c?\nAnswer: 92*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.886634 rounded to two decimal places?\nAnswer: 100.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + 1*sqrt(110)*2)\/(sqrt(32)*2 + sqrt(2) + sqrt(2)))\/(-2*2*(1*sqrt(891) + sqrt(11))).\nAnswer: -3*sqrt(5)\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(-6*-5*((sqrt(176) - (0 + sqrt(176)))*-5 + -3*(0 + sqrt(176))))**2.\nAnswer: 8553598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/10 and -10\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 0*x**3 + x**3)*(-36*x - 84*x + 5*x).\nAnswer: 230*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 9*d**2 - 18*d + 4. Let v be h(6). Solve 0*p - p = 5*f - 15, 18 = v*f + 2*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2 - 17600*q + 17344*q - 2 + 4. Let m(k) = 2*k**2. Give m(n(o)).\nAnswer: 131072*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 19*t + 1. Let n = -5 + 5. Let i be -3 - -3 - (-1 - n). Is 10 a factor of p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1228711 or 1228705?\nAnswer: 1228711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 8:58 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f = 31*f + 26. Let s(z) = z**2 + 14*z + 28. Is s(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3501621 + -3?\nAnswer: 3501615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 14 + 15547*u - 15548*u - 20 - 14.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-75))\/(1\/(-3))*(-5)\/16.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 1:14 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 + -0.517209?\nAnswer: 1085.482791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*l**2 - 86 + 86)*(-11 + 261 + 28).\nAnswer: 5004*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65138.\nAnswer: 2, 32569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -60. Let s = v + -21. Sort s, 1, -5 in ascending order.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6216 (base 12) in base 2?\nAnswer: 10100110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-497)\/(-14))\/((-2)\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-24) + -2 - 3\/(-2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = -0*i. Let f(b) = -b - 5. Let q(z) = -2*z - 10. Suppose 0 = -4*d - 1 + 9. Let p(g) = d*q(g) + i*f(g). Give p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 66. Suppose 3*z + n = -4*z. Suppose -2 = 3*t - u, t + 3*u + 1 = -13. Sort t, -4, z in descending order.\nAnswer: t, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.2, -40, -8 in decreasing order.\nAnswer: 0.2, -0.4, -8, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1986 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.72 - 0.28. What is the nearest to 0 in i, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 3. Let n = -190.1 + 190. What is the nearest to 0 in h, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8188651481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18137633849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 259085.426 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21448\/3, 8, 4\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2212392743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 65. Suppose -d = 4*k - 7. Is 14 a factor of -25*(-3 + 1 - (k + 2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23351 (base 7) in base 13?\nAnswer: -2978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.61+-0.05\nAnswer: -3.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elm when three letters picked without replacement from lleeemke?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-207)*5\/10. Let w be 0 - -3 - 8\/(-2)*-1. Is c at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 85.8, 2\/51, -0.6, 2?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1586*s + 22916 + 23078 = 0 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450865.\nAnswer: 5, 90173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6 - 1 = 3*g, 8 = -4*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 49 = 3*n, -5*c - 4*n + 13 = -87. Let b be 18\/(-4)*c\/(-156). Is b <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5 = q + 5*d, -d = q - 5. Let b = q - 5. Let y(j) be the first derivative of j**2\/2 - 2*j - 3. Determine y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 574 = -0*d. What is the remainder when 32 is divided by d\/28 + 6\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 65. Solve x*r = -5*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120221222120 (base 3) to base 16.\nAnswer: 1d1f1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)*g)**(-2\/59)*(g**24*g)\/(g\/((g\/((g**(-19)*g)\/g)*g)\/g)) assuming g is positive.\nAnswer: g**(7780\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2340224104 (base 5) to base 10\nAnswer: 5398654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g - 4. Let k(s) = -57*s - 15. Let a be -10 + 3 + 2 + 9. Give a*k(u) - 15*t(u).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 16 + 7 = 0. Let d(f) = 2*f + 5*f - 3 - f**2 + 3*f - 5*f. Let h be d(w). Is h equal to 14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**3 + 3*y**2 - 2*y + 4. Let a be k(2). Let h be (-2)\/(-4 + a\/(-8))*-1. What is the closest to -1 in h, -3\/8, -8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 24*l**2 + 79*l - 43. Determine y(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzt when three letters picked without replacement from {n: 2, t: 2, g: 4, c: 1, e: 2, z: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 - 968\/5. Let v be -2 - (0 - 51\/24). Let a = -827 + 831. What is the nearest to 1 in s, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/6 - 5*c + 10. Let p(a) = -2*a**2 + 11*a**2 - 27*a**2. Determine m(p(u)).\nAnswer: 648*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 + 104. Let o(k) = 9*k - k**2 + 3 - 1 - 3*k - 5. Let y be o(4). Solve r = u*h + h + 3, 2*r = y*h + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 4, o: 6, a: 1, q: 2, u: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 43*r**2. Suppose -2*k = -3*k - 1. Let t be o(k). Suppose -3*n = -5*s - t, -2*n + 14 = 4*s - 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 1\/60*p**5 + 0*p**4 + 0 - p**2 + 2*p + 1\/6*p**3. Let o(t) be the first derivative of m(t). Differentiate o(z) wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2 + 4*a - 827. Let z be r(0). Let j = 426 - z. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2\/3 + 47368*z\/3 + 140232964\/3 = 0. What is z?\nAnswer: -5921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -8*p + 9*p - 2*b, 0 = 3*p + 3*b - 114. Suppose 4*k = -2*m + 20, -3*k + 50 = 4*m - 5*k. Let j = p + m. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2156 + 13666. Is b a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 671.\nAnswer: 4\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 9 - ((5 - -9) + -33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r = -12*r - 56. Let w(k) = 21*k**3 + 3*k**2 - 17*k + 4. Is w(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16218 and 697374?\nAnswer: 697374","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 + (8 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*p - 4, -p - 38*w + 36*w = 4. Solve 0*y + 4*b - 7 = -y, y = -b + p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3801*z**3 + 8*z**2 - 8*z**2 + 3509*z**3 - 7311*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 281556704*a**5*z - 1144324*a*z - 84*z wrt a?\nAnswer: 5631134080*a**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(190) + sqrt(190))*-1)\/(sqrt(10) - (sqrt(1440)*2 + sqrt(1440))) + (-6*-1*sqrt(152))\/(sqrt(800) - (sqrt(800) - -2*sqrt(800))).\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 - -0.04. Let w = 0.6 - -1.2. Let v = w - -0.2. Which is the nearest to h? (a) -4 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 745321 (base 8) to base 15\nAnswer: 4d989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 19 = -r + 6*v, 56 = 4*r + v. Solve 0 = 5*k - 2*k + r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((3*(-7)\/14)\/(3\/1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 719*b + 711*b - 1462*b)*(-6*b**3 + 6*b**3 - b**4 - 4*b**4).\nAnswer: 160*b**5 + 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*f**3 - 207*f**3 + 35*f**3.\nAnswer: 237*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6944761*p**3 + 5264619 wrt p?\nAnswer: 20834283*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -6.8. Let x = 0.1457753 - 6.3445853. Let r = x - c. Round r to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + z + 13 = -2*t, -t = -5*z - 2. Let g = 5 - t. Is (9\/(-6) + g)*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*o - 130703385 + 130703385 + 3*o**3.\nAnswer: 3*o**3 + 48*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*149167.4\nAnswer: 447502.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 6 (c) 28 (d) -0.1 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 89, 230, 497, 932, 1577, 2474?\nAnswer: 3665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4160 (base 7) to base 3.\nAnswer: 2000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-64) - 6\/80?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 255103445?\nAnswer: -255103443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -273 and 920584.\nAnswer: 920311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -585839 or -27?\nAnswer: -585839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491248551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.89 plus 1834317?\nAnswer: 1834308.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3028570*x + 10. Let k be a(-7). Suppose -3*w - k = w. Round w to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 - 13.5. What is the second biggest value in -0.2, f, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0.1, 104, -0.4 in increasing order.\nAnswer: -0.4, 0.1, 1, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*n - 309070, 4*k = -5*n + 150183 + 158907. What is k rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(44)\/sqrt(4)*4.\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-16) + 27\/(-6). Let j(m) = -6*m - 18. Let p be j(c). Solve 4*k + 4*a = 2*k - 6, a = -2*k - p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-72))\/((6\/2)\/54).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3248\/32)\/((-7395)\/(-7140)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 5\/24*o**4 + 0*o**3 + 3\/16*o**5 + 0 + 0*o**2 - 9*o + 1\/24*o**6. Factor t(f).\nAnswer: 5*f**2*(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 23*g**2 - 3*g - 3. Let l be j(-2). Let d = l + -45. Suppose 0 = -3*y + y + d. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-493*c**3 + 110*c**3 - 433*c**3)*(c - c - 2*c - 2 + 2 - c + (4 - 6 + 0)*(c - 2 + 2) + 3 + c - 3 - 4*c - c + 6*c).\nAnswer: 2448*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16, 5, -15, -2, 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537828, -537860, -537894, -537930?\nAnswer: -537968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = d + d. Suppose 3*y - d*y = 0. Suppose y = -4*i - 4, -h + 5*i + 22 = -0*i. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/149 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**5\/20 - 3*c**4\/4 + 17*c**3\/6 - 7*c**2 + 52*c. Give u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -318, -3, -2, 13\/4, 0.1?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*z**4 - 3*z**3 - z**2 + 402*z + 4*z**3 - 410*z to the form r*z + h*z**4 + q + s*z**3 + f*z**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from yiynggnyniyand?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k. Let t(c) = -98*c**2 + 293*c - 421. What is i(t(l))?\nAnswer: -490*l**2 + 1465*l - 2105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7384988 millennia?\nAnswer: 8861.9856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (274 - -1) + -5 + (-221)\/(-13) is divided by 282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + 15*w**2 + 20*w + 20. Let h be g(-6). Let l(f) = -f**3 + 6*f**2 + 7*f + 29. Give l(h).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/6)*(b\/(b*b*b**(9\/2)*b))\/b*(b*b**(1\/3)*b)**(-2\/39))**(-25) assuming b is positive.\nAnswer: b**(21800\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5333 is divided by 5322.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -30*c - 120. Determine t(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9820 + 11745. What is the smallest common multiple of 154 and r?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*t + 634, -9*t + 974 = 5*y - 7*t. What is the remainder when 438 is divided by y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111574 is divided by 55325.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 1. Let q(g) = -7*g**3 - 12*g**2 + 6*g - 17. Let h(m) = 6*f(m) - q(m). Is h(-12) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321 (base 4) to base 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, w: 1, p: 3}. What is prob of picking 2 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6662 divided by -14\nAnswer: 3331\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1139*h**2 + 1138*h**2 - 2274*h**2 - h**3.\nAnswer: -h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560642406 less than 51.554?\nAnswer: -2560642354.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -55*c + 5615. Calculate o(117).\nAnswer: -820","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12883?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 2*u. Let r(d) = -2*d**2 + 3*d. Let z(f) = 2*r(f) - 3*y(f). Let k(w) = 2*w**2. Calculate k(z(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -18. Suppose 0 = -4*p - 3*g - 2*g + 68, -m*p + 34 = 3*g. Calculate the remainder when 33 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 14 = 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:38 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16302422 to the power of 1\/2, to the nearest integer?\nAnswer: 4038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 603616.922 rounded to the nearest one hundred?\nAnswer: 603600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1943\/51, -5\/3, -2\/7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1733 - 666. Calculate the remainder when d is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 4*t - 2. Suppose -5*s + 2*h = -0*h - 15, 5*h - 12 = -4*s. Let a = -9 + s. What is the tens digit of z(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 6*t**2 + 4*t + 6. Let f be b(5). Let m be 20\/1 + (-1 - f). Let j = m + 16. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g = 0. Suppose -240 = -g*o - 2*o. Suppose -4*h = -0*h - o. What is the greatest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 4, l: 2, w: 9, q: 3}. What is prob of sequence qlc?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11*a = 125 - 350. Solve 0 = 3*b - 8*b + q + a, q = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvo when three letters picked without replacement from vozz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -g + 26, -3666*h - 46 = -3*g - 3671*h. Factor -1\/2*n**g - 18*n - 162.\nAnswer: -(n + 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-30)*2*(-96)\/((-7200)\/(-375))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 843.71.\nAnswer: 12655.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19449\/4 - -4907. Is 45 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -39*w - 243 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 98076*x + 196112. Determine h(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23587\/858 - -4\/429. Let k = 28 - s. Let f = 4.8 - -1.2. Is k greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3696 and 2800?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:34 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 416752, 416753, 416754?\n\"Answer: q + 416751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15926 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1965894 and 8\/1263789.\nAnswer: 17693046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2709090 by 971.\nAnswer: -2790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 75193 and 2072 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 1, d: 1, q: 3, a: 1}. What is prob of picking 1 m and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 132 = -933. Let v = j - 178. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/528 - (-42)\/336.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5158605.6 minutes in days?\nAnswer: 3582.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -29\/2311?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*n - 133 = -20*n + 395. Solve n*a = -15 - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -201, -348, -593, -942, -1401, -1976, -2673?\n\"Answer: -s**3 - 43*s**2 - 11*s - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 975.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 5*y - 11 + 15, 3*z - 2*y = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5 - 2292*d**4 - 97176*d**3 - 187468*d**2 - 92586*d = 0. What is d?\nAnswer: -39, -1, 0, 1187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 14195.8 to the nearest 100.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*u = -269*u + 3, 4*u = 4*p - 72 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552000 and 3996000?\nAnswer: 183816000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 96 = -6. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**5*n)*n**9*n**(-1\/11)\/(n*n**(-2\/13)) assuming n is positive.\nAnswer: n**(438\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from lhzlgzulhpzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/1557937 and 47\/9.\nAnswer: 14021433","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 - 60*r - 98. Let m(y) = -11*y**2 + 62*y + 99. Let j(b) = 3*d(b) + 2*m(b). Factor j(z).\nAnswer: -4*(z + 2)*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**5*s + 202927*o**5 - 3*o**2*s + 2*o**2 - 2*o*s + 27*s wrt o.\nAnswer: 60*o**2*s + 12175620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkkavxat. Give prob of picking 1 x and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.7 - 1.7. Which is the biggest value? (a) -1\/4 (b) -0.4 (c) 1\/8 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*o = -32, 0 = t + 15*o - 10*o + 20 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -26. What is the lowest common multiple of w and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 172718 and 276962.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101 + -451?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1.9192 (c) -0.3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 1 l when three letters picked without replacement from qedqlzldqqqq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 185857.8.\nAnswer: 5575.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 58939339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -32*s. Let g be y(2). Let r = g + 95. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 3)*(-1 + 2 - 2) + 17 + 2 + 10)*(-r**2 - 2*r**2 - 39*r**2)*(0*r**2 + 3*r**2 - r**2).\nAnswer: -2352*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10434 (base 5) to base 8\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 326.524 + 2.876. What is l rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-14 + 3) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 697135 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113 + -27. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409249574 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1523727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97 - 89. Suppose -5*u + r*f + 18 = 4*f, 5*f - 27 = -2*u. Solve 0*y + u = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = -0*k. Let u = -10 - -16. Determine n, given that -u*n**k + 4*n**3 + 0*n**3 + 2*n**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.173 * -5\nAnswer: 0.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(252) + sqrt(252) + 1 + sqrt(252) + -1)**2.\nAnswer: 180*sqrt(7) + 2293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1493*a - 1628*a + 675 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2\/2 - 54025*r\/2 = 0 for r.\nAnswer: -10805, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/40)\/((-3)\/(-54)*3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4261 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5 = -4*u, -8 = -u + 5*u + 4*n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(375)\/sqrt(5) - sqrt(27)\/(sqrt(9)*1)) - (sqrt(12) - (sqrt(1728) - sqrt(1728)*1))\/(sqrt(4) - sqrt(16)*-3))**2*-6.\nAnswer: -130050\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45666.41 centuries in years?\nAnswer: 4566641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 5. Determine r(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3667*a**2 - 3652*a**2 + 10981*a**2 - 3664*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 6:38 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, -87, -263, -455, -669, -911, -1187, -1503?\nAnswer: -1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128230 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -320, -357, -310, -179, 36?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 1:56 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 103434439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175790 rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7258*f + 1269*f + 3443*f + 1270*f + 1270*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - 191. Let z = -215 - w. Which is the second biggest value? (a) z (b) -40 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29387043 and 15498.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*(2 - 0). Suppose 0*k = k - 5. Solve -o*j = k*h + 18, 3*h + 1 = 5*j - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156 (base 11) to base 6.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) -100 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*k - 904 + 2*k**2 - 7*k + 905 + 40*k.\nAnswer: 2*k**2 + 70*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 15*k - 5. Let a(y) = y + 2. Suppose -q = 9*q + 50. Let c(u) = 2*u + 11. Let l(p) = q*a(p) + c(p). Determine 2*j(r) + 11*l(r).\nAnswer: -3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141869 or -1?\nAnswer: -141869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5950)\/714)\/((-5)\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmqqqmmqiqqm. Give prob of sequence mq.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6522, -12988, -19454, -25920?\nAnswer: -32386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13189.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i + 6, 4*i = -4*k + 24. Suppose 0*m + 3*m - 2*r = 179, -3*r - 300 = -k*m. Calculate the highest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2199, 1989, 1777, 1563, 1347, 1129?\nAnswer: 909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/42)\/(2\/(-7)). Let x be 2\/(l + 1 + 14\/(-3)). Solve -14 - x = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1361 or -0.079?\nAnswer: -1361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -341*x**2 - 77*x + 77. Let j(q) = 3*q + 2 + 2*q + 256*q**2 - 4*q - 3*q - 265*q**2. Calculate -6*b(f) + 231*j(f).\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 - 7*q**2 - 7*q + 6*q + 7 + 4*q**2. Let y be -1 + 1 + -1 + 1. Determine w(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 100010100000000001?\nAnswer: 100010100000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 366\/732*(-8)\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107 + -107. Let p(u) be the third derivative of -3*u**2 + 1\/8*u**4 + 0*u + 0*u**3 + f. Let q(v) = -v. What is p(q(t))?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 1, n: 1, u: 1, l: 1, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let k(c) = 102*c - 31. Let r(o) = -2*o + 5. Let l(p) = k(p) + 6*r(p). Is 34 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**3 + 192*v**2 - 3072*v + 16384 = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 275 or 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -546 or -0.05851?\nAnswer: -0.05851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2044, -8193, -18442, -32791, -51240?\nAnswer: -73789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q + 253. Let x be r(-29). Let h(w) = w**3 + 9*w**2 + 8*w + 8. What is h(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.396 to one decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08068376 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/9 - 1180*z**2\/9 + 4744*z\/9 - 528 = 0.\nAnswer: -594, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 + -7 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 smaller than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -648518377 - -37.\nAnswer: -648518340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 529040 and 29564.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (56 + 1 - (-2 - -6))\/((-1)\/(-1059)).\nAnswer: 3, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 67*z - 19*z. Let s(d) = -4*d**2 + 2*d + 8. Let n(q) be the first derivative of q**3\/3 - q - 1. Calculate z*n(l) + s(l).\nAnswer: 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + p - 42. Let w be 42 - -1 - 1*3. Suppose 0*x = 4*x - w. What is the smallest common multiple of p and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y + 619 = -1966. What is y rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*h**2*o - 3*b*h**2 + 3*b*h + 5*b*o - 99*h**2*o + 3*h*o + h wrt h?\nAnswer: 2*b*o - 6*b - 198*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-2)\/((-12)\/(-3)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2334311 - 0?\nAnswer: -2334311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 49 = -x, -x = -4*b + x + 46. Let q be (b\/((-91)\/84))\/(-4). Solve 0 = 4*k + i - 13, k = q*k - i + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 12 = 2*b, -4*r - 2*b = -136. Suppose 2*i = -v, -2*v + r = 2*v - 4*i. Let t = -5 - -7. Solve -l = -t*d, -v*d = -3*d - 5*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/66 and 27\/418?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52694.\nAnswer: 2, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 38, 18, -54, -196, -426, -762?\n\"Answer: -3*m**3 + m**2 + 32*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*r - 272, -5*t + 640 = -7*r + 2*r. Let y = 22 + t. What are the prime factors of y?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604156 (base 10) in base 13?\nAnswer: 181cb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 727, 1279, 2781, 5707, 10531, 17727, 27769?\nAnswer: 41131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8 - 18\/6 - -147?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - -1)*(-13 + 12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13328 by -28.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/((91\/26)\/(140\/16))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-6)*(-3 + -234) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7056*l - 19997*l - 1050 + 1048.\nAnswer: -12941*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**5\/120 + k**4\/24 + 2*k**3\/3 - 1. Let o(a) be the third derivative of q(a). Differentiate o(f) with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 18650*z - 18654*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*o + 9 = 24, 2*f + 21 = -3*o. Let y be (12\/(-10))\/(f\/15). Suppose -y*b - 10 = 5. Sort 1, -0.4, b in ascending order.\nAnswer: b, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/8 - 0)*(-10)\/(-6).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 11*a**2 + 15*a - 14. What is z(12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.04 + -0.54. Which is the biggest value? (a) -1\/6 (b) i (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-6 - ((-1 + -1 - 0) + -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5)**(-26) assuming u is positive.\nAnswer: u**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 18 + -66 + -76 + 92.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)\/(-1) + 183\/3. Let a(d) = -d**2 - 11*d - 10. What is the smallest common multiple of (-2)\/(-12) + 1190\/m and a(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1755 - -1175. Let w = -906 + 577. Let p = w - n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -6. Let f(o) = 6*o + 1. Let g be f(3). Suppose -10 = -5*c, q*c - g = -4*t + 1. Solve t*a = -3*w - 4, -2*a = -5*w - 0*a + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 10*p + 1. Suppose -11*u - 13 + 13 = p. Solve 12 = 4*h - u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((32\/(-10))\/4)\/((-284)\/(-3550)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*k - 4*v - 40, -2*k + v + 40 = 0. Let y be ((-5)\/10)\/(2\/k). Suppose 5*f - 1 = -11. Which is the third biggest value? (a) f (b) y (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6*h)\/h**(2\/17)*h*(h*h**(2\/9))\/h*h*h**2*h assuming h is positive.\nAnswer: h**(1852\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -19*g**2 - 101*g - 102. What is z(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, m: 5, l: 1, t: 6}. Give prob of sequence iilm.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**6\/540 + q**5\/45 - q**4\/12 + q**3\/3 + 5. Let b(r) be the third derivative of v(r). Determine n so that b(n) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = -5*c - 2*o, 4*c = 4*o + 16. Solve -3*s + 33 - 45 = c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -18 + 1 + 2 - (419 - 427)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**3 + f**2\/2 + 119*f - 109. Find the first derivative of x(g) wrt g.\nAnswer: 6*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t\/t**(16\/5))\/t)**(-1\/68)\/(t\/(t**(-7\/6)*t))**20)**(3\/4) assuming t is positive.\nAnswer: t**(-11891\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = -10 + 10. Let h(x) = -x + 13. Calculate h(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 3*h**2 + 2*h + 5. Let u be a(3). Let d be 2\/12 + u\/24. Suppose -l - 5*t + 32 + 10 = 0, d*l + 4*t - 88 = 0. Solve -4*x + 1 = l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 4, 1, -1 in ascending order.\nAnswer: -18, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 347745 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**3 - 15*j**2 - 8*j - 83. What is the thousands digit of s(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -63502, -63506, -63510, -63514, -63518?\n\"Answer: -4*v - 63498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85838 (base 13) to base 14.\nAnswer: -63ad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*y = -60, 4*o + 8*y - 71 = -23. Solve 14 = q + o, -q + 12 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25.924 and 491622442.2?\nAnswer: 491622468.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 2, 4, -7, 0.\nAnswer: -7, 0, 2, 4, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80770?\nAnswer: 2, 5, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from cbbcc.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -156, -341, -598, -927?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3710898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -30*d**7\/7 + 26*d**3\/3 + 20. What is the third derivative of l(u) wrt u?\nAnswer: -3600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*h**3 + 375 wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**2\/11 - 4476*l\/11 + 2504322\/11 = 0.\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from uhiiqqiififuummfiu?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*f + 20. Let c be (-1)\/8 - (-426)\/(-48). Does 17 divide (-3)\/c*f\/(10\/582)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50903174 to the power of 1\/2, to the nearest integer?\nAnswer: 7135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + -5 + -11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9025 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3187 and -0.03?\nAnswer: 95.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37470 = 1257*u + 40464 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a - -5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(732\/244).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -5869?\nAnswer: -38\/5869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 12*a = -4. Let g be (-4 - -3 - 3 - -2)*a. Let l(n) = n**3 + 5*n**2 + 2*n - 5. Calculate l(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((-390)\/936).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343917 to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(3 - (0 - -1)). Suppose -h + 22*h = -5*h. Solve -11 = -r + 3*x, h*x = -3*r + x + z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 5:05 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15)\/h**1*h*h**(-32)*h\/h**(-2\/23) assuming h is positive.\nAnswer: h**(-1056\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 16) to base 12\nAnswer: -22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.2 (b) -2\/5 (c) 4895\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 b, and 1 n when three letters picked without replacement from enbruep?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4320 = -22*w + 42*w. What is the common denominator of 0 - -2 - (3393\/w)\/13 and 29\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/504257 and 47\/59851427.\nAnswer: 778068551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2528 and 188240?\nAnswer: 29741920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/15)\/y*y*y*y*y**12 assuming y is positive.\nAnswer: y**(212\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(40*123\/55760).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 2 - 317*j + 12 - 3 to the form r + t*j and give t.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -58, -165, -366, -691, -1170, -1833, -2710?\nAnswer: -3831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 4, 8, 134568 in ascending order.\nAnswer: -6, -2, 4, 8, 134568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3660692230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-182)\/28)\/13 - (-156602)\/4.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -36*b**2 - 19. Let y(q) be the first derivative of -2*q**3\/3 + 1134. What is p(y(g))?\nAnswer: -144*g**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18711, 20293, 21861, 23409, 24931, 26421?\n\"Answer: -s**3 - s**2 + 1592*s + 17121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 37*f**2 - 31*f - 55. Let g be j(36). What is the highest common divisor of g and 52375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323\/20 + -63\/4. What is the second biggest value in -2, d, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 1)*(-5*f - 3*f + 3*f)*(32 - 27 - 37) in the form c + n*f and give n.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - u**2 + 14 - 11 - 7.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(544) + (2*sqrt(544) - sqrt(544))*1)\/(sqrt(1568)*3))**2 + 3.\nAnswer: 1391\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 - -2.3. Let z = h + -4. Let i = -0.4 - 3.6. Which is the third smallest value? (a) 3 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20265*s**2 - 2725*s**2 + 13048*s**2.\nAnswer: 30588*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - 3*w**2 + 0*w**2)*(-2597 - 16*w + 247*w + 28*w + 2604).\nAnswer: 518*w**3 + 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 - 85*u**2 - 93*u + 5515. Determine x(42).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 15*y**3 + 35*y**2 - 75*y - 90.\nAnswer: -5*(y - 3)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q - 5. Let z(a) = 5*a - 4. Let d(b) = 4*l(b) - 5*z(b). Let p(f) be the first derivative of -7*f**2\/2 - 2. What is p(d(n))?\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2446 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 101749.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28787 + -201510\/7. Let o(w) = -w**3 + 4*w**2 - 4*w + 2. Let h be o(2). Suppose -h*x = -1 - 1. Which is bigger: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 250 - 66 = l, -212 = -2*r + 2*l. What is the highest common factor of r and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9407 and 2047.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 296712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 3:31 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a century in years?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 286*k - 8865. Let o be y(31). Let n(j) = 11*j**3 - j**2 + 26*j - 26. Determine n(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 14. Let p be 2\/((-6)\/(-3))*(d + 1). What is the units digit of 1 + ((-276)\/(-4) - (-1)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1464?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040.687693 rounded to 1 dp?\nAnswer: 2040.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.3. Let n = -2 + u. Which is the nearest to 6? (a) n (b) 1\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -3)\/((-1)\/3). Let m = 155 + -155. What is the closest to m in 2, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(2\/290))\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -18*b**3 - 19*b**2 - 2*b - 11. Let c(h) = 91*h**3 + 95*h**2 + 11*h + 61. What is -2*c(f) - 11*j(f)?\nAnswer: 16*f**3 + 19*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from pztwwht.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = y - 38, -y + 174 = 2*y - 3*f. Calculate the remainder when y is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-385)\/182)\/((-10)\/20) + -4*(-17 - -18)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3016*i - 9450 = -224*i - 96930 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1 - -3 - -8 - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (33\/22*(-1)\/(-18))\/(5\/8)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5823 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c**3 - 2*c**3 + 6*c**3 + (0*c + c + 0*c)*(-2*c**2 + 6*c**2 - 3*c**2) - c**3 + 4*c**3 - 2*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 263 - 153 = 0. Calculate the remainder when k is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 22910497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x - 12*x + 19*x**2 as g*x**2 + w*x + c and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/819 and 80\/1521.\nAnswer: 10647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2049*g**3 + 154*g - 38319011?\nAnswer: -6147*g**2 + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12061904849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 16 = 6*s. Let a(h) = 2*h**2 - 4*h + 1. Let f = -47 - -96. What is the remainder when f is divided by a(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2)\/a*a**5*a*a*(a**(-2)*a)\/(a\/a**(-1\/7)*a*a))**47)**(-1\/9) assuming a is positive.\nAnswer: a**(-893\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.3 - 62. Let v = 0.4 - h. Let g = v - -1.9. Which is the nearest to 1\/4? (a) -0.1 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2208 divide 14793863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0*h**4 + 1\/30*h**5 + 0*h + 107\/60*h**6 - 32 + 2*h**2 + 5\/3*h**3. Find the third derivative of f(s) wrt s.\nAnswer: 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1.151.\nAnswer: -2.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*q - 11 + 3, -3*q + 33 = -2*h. Let t(b) = -b**2 - 4*b + 39. Let a be t(h). Let j be (-4)\/((-8)\/a) + (9 - 4). Solve -6 = -0*y - j*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2154 at most as big as -30143\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 10*j**2 + 66*j - 11. Let k be i(-16). Solve -20 = k*c - 459*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 58, 93, 124, 145?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k = -255*k + 5740 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 20*u - 25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-18))\/((-5)\/450). Let r be 8\/3 - (-10)\/m. Suppose -4*g = s - r*g - 239, s - 239 = -4*g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 159*g + 3021. Give b(-19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -234*(3 - (-19)\/(-3)). Suppose -24*c + 37*c = m. Is c a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 4*d = 52, -8*j - 2*j = 5*j + 2*d + 2*d + 94 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(1 + -3) - -4. Let v = -1 + 3. Solve -16 = -o*h, v*x - h + 4 - 2 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:21 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*h + 506, 4*h + 364 = 4*s - s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1410471 (base 9) to base 16\nAnswer: bd1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6845*u - 13672*u + u**2 + 6826*u + 922.\nAnswer: u**2 - u + 922","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:32 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/2*7\/21. Let v = u - -3. Let o be (v + 1)\/(6\/8). What is the second smallest value in 3\/8, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 6 = 2*g, -27*g + 9 = -32*g + 2*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -380 - 135*l**4 - 2280*l - 457 - 1095*l**3 - 2525*l**2 - 5*l**5 - 45 + 162.\nAnswer: -5*(l + 1)**3*(l + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 169 - 75?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2)\/d)*d**(-5))**(-1\/6)*((d\/(d*d\/(d**(-1)\/d)))\/d**(-3))\/(d**(-1\/4))**(-12\/11) assuming d is positive.\nAnswer: d**(-7\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 81056, 81054, 81052, 81050, 81048, 81046?\n\"Answer: -2*m + 81058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*g**2 + 1600*g*p + p - 318 wrt g.\nAnswer: -18*g + 1600*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e2ba4a + -1a?\nAnswer: 2e2ba30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49377218?\nAnswer: 2, 11, 59, 109, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b + 0 + (0 - 3 + 2)*(-3*b + 4*b - 2*b) + 3*b + 3*b - 3*b + (-5*b - b + 5*b)*(-4 + 4 + 1) + 3*b - b + 0*b)*(2*b**3 + b**3 + 0*b**3).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + 0 + -4 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -50.9, -9.1, 1\/3, 19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.78 + 0.714. Let n = z + -3.934. What is the biggest value in -0.4, -1\/6, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a factor of 1988720237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693750474 divided by 77083386.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1850 = 43*g + 2409 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65634 - 5?\nAnswer: -65639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0 - g**3 - g - 6 + 2*g**2 - 11*g**2. Let q be o(-9). Solve p + 17 = -4*s, -6*p + q*p - 2*s - 1 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0.52, 7\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**3 - 8*c**2 - 6. Suppose -5 = -2*j + 23. Let r(y) = y**3 - y**2 - 1. What is j*r(p) - 2*z(p)?\nAnswer: 2*p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 2*l**2 - l**3 - 10*l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = -7 - 3 - 29 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169753 by 52.\nAnswer: 169753\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/15 (b) 11 (c) -0.1 (d) -941 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -18 - (-45 + 37) - -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - f**2 + 4*f**2 - 4*f**2. Let p(m) = 2*m. What is s(p(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 740*v - 2*v**2 + 740*v)*(-4 + 0 + 2)*(-2 + 3 + 0)*(-5*v + 2*v + 4*v).\nAnswer: 4*v**3 + 32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 5*c + 16, 4*o + 5*c = -28. Suppose -4*t - 6 = 5*p, -3*p = -4*t + 5 + 5. What is the nearest to 1\/3 in o, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0477 - 0.5477. Sort 1, 54, p in ascending order.\nAnswer: p, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 15) + 0\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56727417*r + 56727417*r - 2*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6. Solve 1 = -b - o*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**3 + 5*j**2 + 2*j - 2. Let k be y(-3). Let p = -68 - k. Let b(c) = -p*c + 29*c**2 - c + 3 + 3*c - 27*c**2. What is b(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29730 is divided by 7385.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -60. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137066211 divided by 65363.\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.2 - -13.8. Which is the third biggest value? (a) 0.3 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 37 = -3*b - h, 40 = -4*b + 4*h. What is the nearest to -1 in 5, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 11 = -3*x, 26*x + 50 = 36*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**3 + 4*q**2 + 13*q + 17. Is u(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)\/(m\/(m**(2\/13)*m*m)))**(1\/3)*(m*m*m**(-1))**(-21\/5)*(m**(-1))**31 assuming m is positive.\nAnswer: m**(-15906\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/((-112)\/(-14)))\/((-2)\/(-2)). Let t = -0.05 + 3.05. What is the closest to t in n, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*g + 4 = g, -5*g = 0. Let k(t) = -2*t + w*t + 0*t + 2*t. Let x(u) = 4*u**2. Calculate x(k(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twtu when four letters picked without replacement from utwuuttuu.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/536830 and 55\/161049.\nAnswer: 1610490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51646, 51659, 51676, 51697?\n\"Answer: 2*l**2 + 7*l + 51637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-167904)\/(-693))\/(2\/14) is divided by 841.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 109*v - 955. Let g be d(43). What is the greatest common divisor of 1071 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x - 1657 = -8092. Calculate the remainder when x is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126051763.\nAnswer: 599, 210437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 5520\/(-4))\/((-2)\/4). Let u = -68 - f. Round u to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-10))\/(10336\/3230).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 4, m: 6}. What is prob of picking 1 r and 1 p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.54 in -0.629, 6\/5, 0.119?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*20\/(-162)*13968\/1552?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -133222 (base 5) to base 14\nAnswer: -1da5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*a**2*r + a*r*y - 9024*a*y + 175*r*y + 7*r - 59*y + 1 wrt a?\nAnswer: -74*a*r + r*y - 9024*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*p + 16, 5*l - 2 + 6 = -p. Which is the nearest to 7? (a) -0.5 (b) -2\/13 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -44, -51, -60?\n\"Answer: -x**2 - 2*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 555878111*j**3 - 9*j + 8816458 wrt j.\nAnswer: 3335268666*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443164083.\nAnswer: 3, 179, 825259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66320\/742784*56\/6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 28 = -0*u. Let y = u + 18. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 764 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -4\/3, 7\/8, -5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a\/(a*a*a**(-19))))\/((a\/((((a*a*a\/a**(-7))\/a*a)\/a)\/a))\/a))**(-9))**(2\/3) assuming a is positive.\nAnswer: a**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -9871382 > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-36)*3\/2*-8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2.075, -6225, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9*180\/12. Let w(b) = -b**2 - 6*b + 2. Determine w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -38 - 10. What is the highest common divisor of y and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(68) + 0 + -2 - sqrt(68)) + ((sqrt(68) + -1)*3 + -4)**2)*-1.\nAnswer: -659 + 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-26) - (-2)\/(-2). Let i = -173\/6 - -169\/6. Which is the nearest to i? (a) 1 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + -15 + 13 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303, -0.5, 0.62 in increasing order.\nAnswer: -303, -0.5, 0.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268)*-2 + sqrt(2268) - sqrt(2268))*-1 + -1*sqrt(2268)*5)\/(sqrt(9)*3*-2 + 3*sqrt(9)*-1)*5.\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1282, -2564, -3846?\n\"Answer: -1282*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227.0042t to kilograms.\nAnswer: 227004.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -21\/26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1694*d**3 + 144*d**2 + d - 5*d**2 - 32*d**2 + 1700*d**3 to k*d**3 + f*d**2 + y + u*d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g - 12. Let q(y) = 8*y - 15. Let x(f) = 4*q(f) - 3*w(f). What is x(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6027\/1953 + (4 - 1) + -6. Do -5 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = -45*d - 389 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -10. What is the lowest common multiple of 9 and 4\/f*14 - 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6031*q + 657378. Calculate a(-109).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/4 + m**3\/2 + m**2 - m. Let t be w(-3). Round t to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = -25*f - 152. Calculate the common denominator of 1273\/f*1*2\/(-2) and 54\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196379 is divided by 284?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2, g: 1}. What is prob of picking 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 + -39. Let m = -1226599234.999999892 + 1226599209. Let u = m + q. Round u to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2020750, 4041417, 6062084?\nAnswer: 8082751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m + 9. Let z(g) = -11*g + 6*g - m + 9*g. What is the remainder when 19 is divided by z(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -15*t**8\/8 + t**4\/3 - 3*t**2\/2 + 669*t. What is the third derivative of i(k) wrt k?\nAnswer: -12600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 - -19)\/((-3)\/(-2))*2\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 20247.\nAnswer: 20247.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 7. Let v be b(8). Is v less than 19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2\/7 (b) -6\/11 (c) -0.07 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11814 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 412*n**3*z**2 - 12*n**3*z + n*z**2 - 13*n - 5*z**2 + 12 wrt n.\nAnswer: 2472*n*z**2 - 72*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -60. Let g = 25 + b. Determine m, given that 15\/2*m**4 + 9\/2*m**2 + 0 - 9*m**g - 9\/4*m**5 - 3\/4*m = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 27*y**2 + 2 + 21*y**2 - y**4 - 12*y**2 to the form u + r*y + i*y**4 + w*y**3 + d*y**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 + 198. List the prime factors of i.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36700.10175789 + -36335.402579. Let d = 0.30411111 + c. Let z = d - 365. What is z rounded to four decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-125 + 128 - (2 - (0 + 7)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 26 - 19)*(-1 + 1 - 3*u + 2*u + 2 - 2 + 3 - 3 + u + (1 + 3 - 6)*(-3*u + 0*u + 2*u) - u - u + 3*u) to n + f*u and give f.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(171)*-3)\/(sqrt(441)*-1) + (2 + -1 + sqrt(1216) + sqrt(1216) - (sqrt(1216)*3 + 5 + sqrt(1216)))**2.\nAnswer: 905*sqrt(19)\/7 + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/43, -1\/8, 40122, -5?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 859\/30 + -119\/5. What is the common denominator of -2 + -1 - (-966)\/72 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-2))\/((-1)\/3). Let u(j) = -j**3 + 3*j**2 + 4*j - 4. Let a = 3 - 0. Let o be u(a). Solve -d*h + 5*x + o + 3 = 0, 7 = -5*h + 2*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 222122131322?\nAnswer: 222122131321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/m**(-2\/7)))**(-13) assuming m is positive.\nAnswer: m**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2955217.2 months in decades?\nAnswer: 24626.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -6, -1\/6, 25\/8, -0.4 in ascending order.\nAnswer: -6, -0.4, -1\/6, 3\/2, 25\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i + 3*i + 10*i + 14*i - 30*i. Let h(b) = 2*b**2 - 70. Determine h(f(j)).\nAnswer: 2*j**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88 - -81) + (-3 + -27 + -14 - (1 + -1))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154868\/11365 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -12 - (-1 - 14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i**4\/9 + 58*i**3\/9 + 6*i**2 + 14*i\/9 - 2\/9 = 0 for i.\nAnswer: -1, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -27*g - 1. Let t(b) = 131*b + 10. Let v(l) = -t(l) - 5*x(l). Let d(y) = 3. What is -6*d(m) - 3*v(m)?\nAnswer: -12*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*a + 74 + 9 = 0. Let l(o) = 8*o - 2. Determine l(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9753\/199 or -50?\nAnswer: -9753\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -149, 0.\nAnswer: -149, -38, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(7\/6))**(-1\/24)\/((k*k**(-11\/5)*k)\/k*k\/(k*k*k**(14\/5)*k*k)))**(-2\/121) assuming k is positive.\nAnswer: k**(-91\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 + 1 + (0 - 4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -685, -8769, -22243, -41107, -65361, -95005?\n\"Answer: -2695*z**2 + z + 2009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49395333*a**3*c**2 + 293002*a**3*c - a**3 + 7*c wrt c?\nAnswer: 98790666*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 31*k - 1. Let d(v) = 87654*v. Give d(b(t)).\nAnswer: 2717274*t - 87654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4625 + 2459 = -2*z + 2*c, -c = -3*z - 10626. Let t = -1641 - z. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 4\/5, -13, 4\/7, -470, 9, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/781 and 39\/40262467?\nAnswer: 442887137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4332 - 11205 - 447 + (7 + 1 - 3)*(2 - 2 - 1))*(4*c - 4*c - 2*c**2) to r*c**2 + k + w*c and give r.\nAnswer: 14650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + -4.93. Let z = -5.1 - -5.1. Which is the third smallest value? (a) 2 (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 8*w + 1. Does -1\/58 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2 - 198849*n + 397686 = 0. What is n?\nAnswer: 2, 66281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(13) + 0))**2 + sqrt(13) + 1 + sqrt(13)*2.\nAnswer: 3*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(26)*1 - sqrt(26))\/sqrt(2) + -3 + sqrt(208).\nAnswer: -5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 15. Give s(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1372734, -5490926, -12354578, -21963690?\nAnswer: -34318262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.092838 - -21114001.\nAnswer: 21114000.907162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/17210 and 37\/6884.\nAnswer: 34420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 13 = 13*y + 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**2 - 2*d - 2. Let b be j(-1). Suppose -4*y + 268 = 4*c, -b = 3*y - y. Let i = c + -42. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p + 10. Let u be d(0). Solve u*q = 9*q + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384\/11 smaller than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8468 - 8470. Let n = 16 + -78\/5. Which is the fourth smallest value? (a) 1 (b) t (c) -4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) + 3 - -2. Suppose 5*u - 29 = -3*a, -2*u - o*u - a = -26. Suppose 0 = -u*n - 2*n + 18. Calculate the remainder when 5 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -175 + 64. Let x = h - -111.00119. Round x to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(171) + sqrt(171) + 1 + -5 - sqrt(171)) + (-1*sqrt(171) - sqrt(171) - sqrt(171))*-5 + 3 + sqrt(171) + 1 + -4))**2 + 5.\nAnswer: -10200*sqrt(19) + 1235880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 286883207003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/8060 and -44\/464945.\nAnswer: 57653180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 18*g**2 - 86*g + 198. Calculate r(4).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598975697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14841 and 83965431?\nAnswer: 251896293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -861 + 0?\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppo when three letters picked without replacement from {p: 5, g: 4, k: 1, o: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x**3 + 16 - 5*x**3 - 2*x**2 + 15*x**3 to o*x + k*x**3 + s*x**2 + v and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*x = 361*x + 1638 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6009015671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.241 + 9.541. Let o = 16 + -63\/4. What is the closest to 1\/3 in -26, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2\/5 + 495486*w\/5 + 3963824\/5 = 0.\nAnswer: -495478, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 46 (b) -3\/4 (c) -549\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*l - 5*l**2 - 89*l - 5 + 16*l**2 - 126*l + 307*l.\nAnswer: 11*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -733916*d**3*r**2 - 890547*d**2*r**2 wrt d?\nAnswer: -4403496*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 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 d = 1 - 10. Let z be (-2)\/d + (-4)\/18. Is z smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q - 1374 + 1358 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/(sqrt(539) - -4*sqrt(539)))\/(sqrt(40)\/(sqrt(32)\/sqrt(4)) + sqrt(1375)\/sqrt(11)).\nAnswer: sqrt(5)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**3\/3 + 91*z + 2151. Let h(n) = -n. Calculate c(h(l)).\nAnswer: -l**2 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -5*l - 106. Round l to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 5*d**2 - 2*d + 11. Let m be w(5). Let i be (7 - 5)*(-6)\/(-28). What is the nearest to m in i, -4, -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {m: 1, a: 1, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(42\/(-24))*(-357)\/34)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**2*y*y)**(-4\/5)\/((y**(1\/13)\/y)\/y**(1\/7)))**(-15\/7))**(-2\/31) assuming y is positive.\nAnswer: y**(-8010\/19747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c + 15. Suppose 5*w - 7*y = -5*y + 15, c*w - 4*y = 12. Suppose -12 = -w*x - x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 2300*z - 1075496. Calculate w(653).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10402 + -43?\nAnswer: 10315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.25 + -19.3. Let f = -7 + n. Let r = -0.15 - f. Which is the second smallest value? (a) -6\/7 (b) r (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -1\/4, 3, -50, 0.4.\nAnswer: -50, -4\/7, -1\/4, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let r(p) be the first derivative of -8 + 0*p + 1\/2*p**2. What is r(o(d))?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37455 is divided by 12480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1889735, -1889767, -1889799, -1889831?\nAnswer: -1889863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.626 + -1.36. Let v = t + -137.266. Let j = v - -166. Is 1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*sqrt(143)*2 - ((sqrt(143) - (sqrt(143) - -1*sqrt(143))*6) + sqrt(143)))\/(6*(sqrt(11) - 1*sqrt(77)\/sqrt(7) - sqrt(11) - sqrt(11) - sqrt(11))).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33201 - 1?\nAnswer: -33202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -3 - (3 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10983.9986 + 10995. Let y = m - 11. Round y to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1801454 or 1801453?\nAnswer: 1801454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -586 divided by 586?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7}. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15624 and 48.\nAnswer: 31248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*22\/(-792)*202\/505?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 189396 + 2?\nAnswer: 189398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**4\/4 + 8*w**3\/3 + 3*w**2 - 9*w + 7. Let f be n(-7). Is 12 a factor of f*(-3 - 37\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)\/(p\/(p**9*p))*p**(-1\/75)*p**(-28) assuming p is positive.\nAnswer: p**(-1501\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49675 or -369?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2288*b + 6072. Let s(m) = 47*m + 3. Let v(q) = -l(q) + 6*s(q). Differentiate v(g) wrt g.\nAnswer: -2006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9 - 2 - 1083*a + 1083*a - a**2.\nAnswer: -a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1)*-3*-5.\nAnswer: 15 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 - -182. Suppose 31 = f - 3*c, 105 = 4*f + 4*c - 51. What is the remainder when f is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*l - 68 = -7*l, 2*l = -3*r + 44. Let p(i) = -4*i + 14. Let t be p(6). Let u be 1*106 + (-20)\/t. Calculate the highest common divisor of u and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1118 + 1490. What is the lowest common multiple of t and 18?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (84\/(-112))\/((2\/8)\/1). Suppose -4*i - 1 = 7. What is the third biggest value in 7, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*j - 7*j. What is the closest to -1 in 5\/2, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 874761638 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1304*r - 34 - 4277*r - 9105*r - 374.\nAnswer: -14686*r - 408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(10 + (-25 - -17)). Which is the closest to r? (a) 67 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:25 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let o(l) = -2*l**3 - 4*l - 6. What is -5*b(g) + o(g)?\nAnswer: -2*g**3 + g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-14) - 73392\/(-56). Is -1 + (2 - a)\/(-3) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7257, 28859, 64809, 115107, 179753, 258747?\nAnswer: 352089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - a = 244 - 1139, -291 = x - 4*a. Let l = 754 + x. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3936\/(-5248)*10*(-8)\/(-36)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 13 + (-9 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-2 - (-3 - -2)). Let y(u) be the second derivative of -1\/12*u**w + 0 - u + 0*u**2 - 1\/3*u**3. What is the second derivative of y(c) wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118268 != 354808\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 27. Let i = r - 29. Suppose t - 5*t = -i. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -4, -2, 4, 307?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 216*k + 49 = 214*k, -4*w - k = -58 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*p**2 - 6*p**5 + 4*p**2 + 4*p**5 + 9*p**5 wrt p.\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -47*b**2 + 204*b**2 - 49*b**2 - 51*b**2 - 48*b**2. Let n(y) = 26*y. What is n(w(k))?\nAnswer: 234*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18\/41 + 1709\/123. What is the common denominator of o and 25\/31?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -10) + 6 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 10*o + 334. Is 15 a factor of x(-59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36*((-14)\/4 + 3). Let f = 60 + -30. What is the remainder when f is divided by 40\/(-6)*l\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 300*x + 7500.\nAnswer: 3*(x - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Solve v*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 p when three letters picked without replacement from {a: 5, t: 4, p: 4, d: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 454717, 11 in decreasing order.\nAnswer: 454717, 45, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -740*n - 300*n - 407*n - 128783 for n.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*s + 19, -2*s + 5 + 1 = 0. What is the smallest common multiple of 12 and (-444)\/9*((-6)\/(-4))\/n?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 2*z + 5 - 195*z**3 + 8*z**2 + 196*z**3. Suppose 0 = -3*r + 2*r - 7. Is 14 a factor of f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5))\/((-3)\/2)*65000\/637000?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**6)\/c)\/(c*c**1))\/(c*c*c**(-2\/7))**(1\/42) assuming c is positive.\nAnswer: c**(-394\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1284756279*m**5 - 769563026*m.\nAnswer: 25695125580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**6\/120 - k**5\/20 - k**4\/24 + k**3\/3 + 3*k**2 + 3*k. Let j = -1092 - -1090. What is p(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -177, -169, -159, -147, -133?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2415 - 205.6\nAnswer: -2620.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/105 + 29\/315. Let l = -2 + 1.5. Let h = l - 0.5. Which is the third smallest value? (a) d (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-15)*(x**(-32)*x)\/x*x*x assuming x is positive.\nAnswer: x**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085489?\nAnswer: 19, 57131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/5925 + -15491\/237000. What is the common denominator of 121\/580 and u?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -81266923.\nAnswer: -32506769.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {c: 1, x: 2, v: 1, b: 1, q: 2, h: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 4. What is the common denominator of 53\/6 and (-6)\/(-8)*670\/p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 11563714.\nAnswer: 6938228.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 + (-670)\/(-3). Suppose -2*f - 2*f = -r. Suppose -5*w + f = -3*w. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.33 plus -8?\nAnswer: -12.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196595?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, 0.5, 4200 in increasing order.\nAnswer: -14, -1, 0.5, 4200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 172 + 5c65?\nAnswer: 5dd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - -93. Solve 5*s - l*s + 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (46 + -54 - 32)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*w - 18. Let h be (5\/(-2))\/(2\/(-12)). Let d = w + h. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -159. Suppose -6*v = 7*v - 52. Sort v, o, 1\/3 in decreasing order.\nAnswer: v, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + a)*((-2*a - 2*a + 6*a)*(3 - 2 - 2) + 2 - a - 2)*(13*a + 74*a + 28*a).\nAnswer: -345*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54110 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 11}. Give prob of picking 2 e.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530161592.\nAnswer: 2, 17, 23, 169489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 197. Let i = -52 - w. Let y(f) = 11*f**2 + 4*f + 4. Let k be y(-1). What is the greatest common factor of i and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k*k\/(k\/(k**4*k)))\/(k**(-2\/5))**(-22) assuming k is positive.\nAnswer: k**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {f: 1, n: 6, q: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide ((-1980)\/(-54))\/((-8)\/(-624))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7 + 2708*t + 0 - 2697*t. Let r(i) = -2*i + 27 - 30 + 2*i + 5*i. Calculate 7*r(h) - 3*z(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7619 is divided by 2535.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -4*(-4*(-4 + sqrt(147)) + sqrt(147) + -2))*-5)**2.\nAnswer: -239400*sqrt(3) + 610425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 1. Let c(p) = -405*p + 29. Let k(i) = -c(i) + 3*u(i). Let n be k(-4). Round n to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s - 62*s = -36 - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4\/9)*y*y*y**(-4))\/((y\/((((y**(-1)*y)\/y*y)\/y)\/y))\/(y*y**(-2)))*(y**6\/y*y**4*y)\/(y**(-5)\/((y**(-7)\/y)\/y)) assuming y is positive.\nAnswer: y**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 6*k - 12*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by 63087?\nAnswer: 59\/21029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612764 divided by -3493?\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1952.64 * 0.0864.\nAnswer: -168.708096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2\/11, 3, 6, -0.19, -1\/3 in descending order.\nAnswer: 6, 3, 2\/11, -0.19, -1\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*y - 1)*(1 - 3 - 9)*(13*y + 2*y + 43*y).\nAnswer: 2552*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12245051 and 71575?\nAnswer: 2863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 1\/5, -1\/4, -0.15, -0.1, 25, 114?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -59. Let b = 31 + l. Find the second derivative of -r + r - 20*r**3 + 3*r + 5*r**b wrt r.\nAnswer: -90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1216*p**3 + 2 + 205*p**2 + 1210*p**3 - 2424*p**3 as n*p**3 + r*p + a*p**2 + d and give a.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.9 - -33.859. Let x = -0.20494 + 0.16394. Let v = j - x. Which is the closest to 1? (a) -2 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -2 + sqrt(7) + sqrt(7) + sqrt(847)*2 + sqrt(847))**2*1.\nAnswer: -42895 - 700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27471204*f**3 + 44507547.\nAnswer: -82413612*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 4, -2\/5, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -14. Let t = -18 + u. Solve -t*o = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + -0.010006. Round b to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0, 1, 5, -11 in ascending order.\nAnswer: -11, 0, 1, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136560, -273117, -409674, -546231?\nAnswer: -682788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5086 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 8*n**2 - 9*n - 5. Let a = 19 + -1. Suppose -2*i = -2*t - 0 - 4, -t = 3*i + a. Calculate g(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*k + 29*k + 1591. What is the least common multiple of 8 and k?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 66*l**2 - 2419*l**2 + 17 - 11.\nAnswer: -2485*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/805*(-2842)\/116*(-24)\/28.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 694 - 690. Solve 0 = -2*c + 4*c - 4*i - 2, i = -c + h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*m - 5, 4 - 9 = -d. Let z(u) = -1 + u**2 + 2*u - 4*u**2 + 4*u**2. What is the remainder when 2 is divided by z(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(144)*-1).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186492641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25599075?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26825, -53227, -79629, -106031, -132433, -158835?\nAnswer: -185237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 3104.\nAnswer: -3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -22089, -53, 21 in decreasing order.\nAnswer: 21, 10, -53, -22089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 12:47 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = m + 3*p, 2*p - 17 = -5*m + 3. Solve m*l + 2 + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.548 * -0.7\nAnswer: -8.0836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -0*c - 4*c. Suppose 0 = d + c - 60. Let q(t) = -t**3 - 2*t**2 - 2*t - 3. Give q(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 10. Let q(c) = 0*c**i + 5*c**2 + 6 + 4*c**3 - c - 9 - 3*c**3. Determine q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihp when three letters picked without replacement from oopbssooohooosopibio.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -213.5 - -208.5. Let m(y) = -2*y - 8. Let c be m(-6). Sort d, 0.4, c, -2 in descending order.\nAnswer: c, 0.4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2095 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -100, -111, -110, -91, -48, 25, 134?\n\"Answer: a**3 - 18*a - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1509*k**3 - 35746*k**2 + 829*k**3 + 35748*k**2)*(0 + 1 + 2).\nAnswer: 7014*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from {b: 1, r: 2, u: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -9 (b) 2\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2484 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 9) in base 16?\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1568 + 1568 + 41*q**2.\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53089577*g**3 + 127355366*g**2?\nAnswer: -318537462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 62 (b) 0.4 (c) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 824 and 515?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkiikikioikkikkii. Give prob of sequence iokk.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(1 + -2) - -4. Solve j*s = 3*h + 3 - 7, 8 = h + s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758056452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 52. Let b = -16 + z. Solve -b*m = -14 + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -2272055?\nAnswer: 2272058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.037 - -35.037. Let t = 35.26 - c. What is the third smallest value in -3, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78579 (base 10) to base 7.\nAnswer: 445044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -235970.189 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1003242 (base 5) to base 16\nAnswer: -3ec8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1392\/290*(-5)\/3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*p**3\/7 + 136*p**2\/7 - 369*p\/7 + 324\/7.\nAnswer: -(p - 4)*(4*p - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((-4)\/(-3) + (-59)\/(-354))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 5563*r**6\/120 - 9*r**5\/4 + r**4\/4 - 16*r**2 + 8*r - 6. Find the third derivative of u(q) wrt q.\nAnswer: 33378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 3*q + 20, -2*q - 934*c = -4*q - 935*c - 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 13. Let a be ((-8)\/16)\/(r\/34). Suppose 3*l + 3*d = -d + 32, -2*l - a = -5*d. Calculate the lowest common multiple of l and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:52 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 9*r**2 + 9*r - 5. Let b be o(8). Let v = 9 + -10. Let d = 6 + v. Solve b*w - 11 = -d*x + 1, 5*w = 5*x - 20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 474486 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3700.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1789*h**6\/120 - h**5\/30 + 2069*h**4\/12 - 5*h**2 - 9*h + 21. Find the second derivative of w(y) wrt y.\nAnswer: 10734*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1596 and 13188?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_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 prob of picking 1 m and 1 v when two letters picked without replacement from mzsmxvvmmm?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 - c**4 + 60*c**3 + 176*c**2 - 448*c - 1536.\nAnswer: -(c - 8)*(c - 3)*(c + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -45*x**2 + 2*x - 1. Calculate z(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131259094 to the power of 1\/2, to the nearest integer?\nAnswer: 11457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n + 5*n + 4 + 6*n + (-4 + 3 + 4)*(-n + 4*n - 2*n) in the form m*n + j and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-12 - (-9 - -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 8 = -3*r, -2*r + 5*p - 1 + 8 = 0. Suppose 0 = -3*s + r + 26. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 270, 290, 310, 330, 350?\n\"Answer: 20*m + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Suppose 3*o - 2*o = -2. Let w(y) = -9 + 11 + y - 4 + 2. What is o*b(a) - 2*w(a)?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -9 + (-4 - 6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/1163, -1, 2\/7, 2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 20*i - 33. Let g = -36 - -54. Let z be f(g). Solve -2*k - z*k = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmk when three letters picked without replacement from mtmkktkmmk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -37280.\nAnswer: 11184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/2 - 1405*l = 0?\nAnswer: 0, 2810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 14990?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 1, j: 3, o: 3, q: 2, x: 1}. What is prob of picking 1 x, 2 z, and 1 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8722 bigger than 8721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 3*x + 75, -3*y + 124*x = 102*x - 25 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 8*j + 120. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631355*-11.\nAnswer: -6944905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y + 12. Let t(b) = 5*b**2 - 96*b. Give t(r(h)).\nAnswer: 980*h**2 + 336*h - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddldsdvbsddlttdvd. Give prob of picking 1 s and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17514508 to the nearest integer?\nAnswer: 4185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164\/(166624\/(-635))*(14\/10 + 1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - 1) + -1 + 0. Let f(b) = b**3 - 8*b**2 - 10. Let p be f(8). Let g = p - k. Sort g, 0, -1.\nAnswer: g, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/3)\/((-5)\/(-60)*88). Let w = 882\/11 - 80. Which is the third biggest value? (a) r (b) w (c) -4\/5 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12171.6 rounded to the nearest 100?\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 5*o + 0*o to the form t + s*o and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3048*x**4 - x**3 + 2*x**3 + 3 + 3027*x**4 to b*x + y + i*x**3 + h*x**2 + w*x**4 and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -18 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*0.52\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 274?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 11 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31562 = 822*j + 12656 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - (2 + 8)) + -1 + 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 614641 divided by 3159.\nAnswer: 614641\/3159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6*3\/36?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-10) - (-212)\/8. Suppose 3*b + 45 = 5*k, -2*k - b + 4*b + a = 0. Calculate the smallest common multiple of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022001220 - -110?\nAnswer: 1022002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(2 + 256\/(-80))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/3)\/(4\/(-48)). Let h = -24 - q. Let j(u) = 2*u**3 - 104*u**2 - u + 59. Calculate the lowest common multiple of h and j(52).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 18 + (8 - (9 + -12)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 25. Let a(r) = -r**3 - r + 6. Let p be a(0). Suppose 3*l - 6 = p. What is the remainder when l is divided by z(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*j + 8770, -j + 1010 = -4*k + 12686. Let b = k - 46719\/16. Calculate the common denominator of 85\/12 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/1 - (-63)\/15. Factor 2\/5 + z*q - 8\/5*q**2.\nAnswer: -2*(q - 1)*(4*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 56 = -2*b, 2*l - 29 - 74 = b. Suppose 4*y + 5*n = 42, -4*y + 3*y - 2*n = -9. What is the remainder when l is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9500 = -4*i + 4*g, 23*i + 11899 = 28*i + 3*g. Calculate the remainder when i is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228352559\/342 - -667641. Let o = l + 974\/19. Let u = -37707\/14 - -2692. What is the common denominator of u and o?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2139885, 2139886, 2139887, 2139888, 2139889?\n\"Answer: w + 2139884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.1. Let i = -4 - -4. Let u = -2.95 + -0.05. What is the nearest to i in u, -0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbh when three letters picked without replacement from hbxbxshs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 451044454 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**3 + 23*v**2 - 17*v - 23. Give z(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57908 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 + 352\/3. Let q = 1.74 + 0.26. What is the nearest to -1\/4 in o, 0.6, q?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64 + 110?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-15) - (2010\/25)\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 + 51. Let y = 3 - 3.3. Which is the second smallest value? (a) l (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/28)\/((-4)\/(-10)*115\/92)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1167*d*j**2 - 2*d*j - 6*j**2 + 16283 wrt d?\nAnswer: 1167*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/(-2) - 1\/2. Let x = -13 - l. Suppose x = u - 4 + 2. Solve -u*r + 0 = -4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(12\/16) + 6)*-3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38917946 is divided by 130.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 8*f**2 - 1. Let d be y(-8). Let o(u) = u**3 - 4*u**2 + u - 1. Let i be o(4). Suppose -3 = i*p - 0*p. Is d bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -336407537?\nAnswer: -672815074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(468)\/(2*sqrt(9)))\/(sqrt(36)*-1))**2 + -3.\nAnswer: -23\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 0.3, 203, -14, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10405 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y - 4. Let p be z(6). Let g(k) = 6*k**2 - k. Let v be g(1). Suppose -v*j - 4*d + 29 = -5*d, 4*d = 2*j - p. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -230, -775, -1840, -3599, -6226, -9895?\nAnswer: -14780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1541789*b**3 + 2*b**2 - 618735081*b wrt b?\nAnswer: 9250734*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 4*a**2 - 2*a - 5. Let l be d(-4). Let w be l + 790\/2 + 1. Let j = w + -198. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 - (18 + 13) - -2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.9. Let v = -0.66013 + 0.36013. What is the nearest to i in -5, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(448)*2 + sqrt(448)))\/(2*(sqrt(4) - ((sqrt(196)*-2 - sqrt(196)) + sqrt(196) - sqrt(196) - sqrt(196)))).\nAnswer: 12*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**4 - 6*z**3 + z**2 + 4*z. Let m(c) = 11*c**4 + 12*c**3 - c**2 - 7*c. Suppose 4*i + 3 = -17. Let l(w) = i*x(w) - 2*m(w). Factor l(k).\nAnswer: 3*k*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 216*f - 215. Give o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a - 17. Let t(l) = 6*l + 8. Let g(x) = -6*b(x) - 13*t(x). Determine g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - d**2 + 1. Let p be q(1). Let t = -281 + 283. Solve -4*o**2 + t*o**p - 4*o**4 + 20*o**3 - 26*o**3 = 0 for o.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/72 and -5\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 5, -7 in ascending order.\nAnswer: -7, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 + -111001101011001110111?\nAnswer: -111001101011000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3489.58*-0.11\nAnswer: -383.8538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -17 (c) -2\/11 (d) -1\/6 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 158.\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -14)\/(2*(-34)\/4)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*w**3 + 0)*((-2 + 2 - 4)*(2*w + w - 2*w) + 0*w + w - 2*w + w - w - w).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -71*y + 81. Give v(2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22149, 22133, 22117?\n\"Answer: -16*d + 22165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-1 + 0\/(-3)). Let z = 30 + -9. What is the units digit of (-2)\/8 - z\/q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**4\/9 + 1130*u**3\/9 + 2842*u**2\/9 + 2278*u\/9 + 190\/3 = 0.\nAnswer: -1, -1\/2, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -41*p**4\/24 + 25*p**3\/6 + p**2 - 33*p. What is the first derivative of v(f) wrt f?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3942399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2217172 (base 8) to base 14.\nAnswer: 117b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + -3 + 4\/2. Suppose -w*c = -2*c. Suppose 2*y - 31 - 39 = c. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86361 - 55234460?\nAnswer: -55320821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*(sqrt(5324) + (sqrt(5324) - (sqrt(5324) + sqrt(5324) + -2*sqrt(5324))) + sqrt(5324)))\/(-2*sqrt(576)*6))**2.\nAnswer: 1331\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1697*h + 1713*h - 112 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255 + 266. Suppose -o*u - 6 = -12*u. What is the highest common divisor of 9 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28414 or -28417?\nAnswer: -28414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3278.\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56685.58 years in months?\nAnswer: 680226.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(288\/64)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-7)\/(-4))\/(28*(-14)\/672)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116993\/57 - -4103\/2. Let c = 2171\/1653 + b. What is the common denominator of -53\/3 and c?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 132 = -2*b - 2*a, -5*b = -5*a - 255. Suppose 16*q = b + 200. Factor 32\/3 + 8*g**2 - 4\/3*g**3 - q*g.\nAnswer: -4*(g - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/5, -5, 260, -6, 5\/3, 6\/13, -2?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859348 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkdgkxkk. What is prob of picking 1 g and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 24*d + 12 = 19*d, 3*w = -17*d - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/616)\/(1\/(-30))*8\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338767?\nAnswer: 11, 13, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, m: 2, x: 1, j: 1, b: 8}. Give prob of picking 1 j and 1 x.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-133))\/(2\/(-35)*(-40)\/(-48))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 1073.\nAnswer: -9\/1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.1016911 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*o - 23*o + 2*o**2 - 60*o)*(2*o + 14*o**2 + 2*o**2 - 11*o**2) as j*o**3 + p*o**4 + r + u*o + x*o**2 and give x.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110377 is divided by 241?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69975638179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 85*n**2 + 965*n - 6325.\nAnswer: -5*(n - 23)*(n - 5)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + 25*z - 14. Determine b(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/3*(-4)\/14. Solve k + 0*k + o + 6 = 0, 3*k = g*o - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 + 2*z**5 - 4*z**5 + (0*z**4 - 3*z**4 + 5*z**4)*(0 + 0 + 2*z) + 2*z**5 - 2*z**5 - z**5 + (152*z - 152*z - 32*z**3)*(-2 + 2 - 2*z**2).\nAnswer: 68*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ika when three letters picked without replacement from {u: 2, a: 1, i: 2, k: 6, t: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4775 is divided by 200.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 3, 11, 23, 39, 59?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Let t be (-2)\/u - 34\/(-6). Find the common denominator of 56\/11 and (-31)\/4*6\/t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*k**2 - 2*k**3 + 0 - k**2 - 12*k**3 + 15*k**3 + 18*k**3 + (-k - 4*k + 3*k)*(2*k**2 + k**2 - 5*k**2) as c*k + r*k**2 + t*k**3 + p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f**2 + 4*f - 3. What is the tens digit of s(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 894917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 799 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*d + 21*d - 1 = -1. Solve d*i - 15*i = 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 199276.3 to the nearest 10000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 + 3*o**2 + 98*o - 3. What are the prime factors of m(-12)?\nAnswer: 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1334618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*(sqrt(200) - ((sqrt(200) + -2)*-5 + sqrt(200)))*-4*-4 + 0)**2.\nAnswer: -6440000*sqrt(2) + 32648025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4663, 18657, 41971, 74599, 116535, 167773, 228307, 298131?\n\"Answer: -y**3 + 4666*y**2 + 3*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2389 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjoooyrsooso. What is prob of sequence yj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000937336 rounded to seven decimal places?\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*i - 3, 0 = 3*l - i + 5. Let u = -2 - l. Solve c + c = u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 420.69 - 1.69. Let g = 418.9621 - i. What is g rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 + 148. What is the lowest common multiple of 211 and a?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16103827, -16103826, -16103825, -16103824, -16103823, -16103822?\nAnswer: -16103821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935595461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 127*p - 905. Determine v(7).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -275609.3 times -0.3?\nAnswer: 82682.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -14. Suppose -3*h + 2*p - 339 = m, 5*p = -h - 2*h - 318. Let u = 183 + h. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005 divided by 601?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.255 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84119 (base 13) to base 2.\nAnswer: 111001111110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*z - 791040 + 791340 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16496.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/156*((-75)\/225)\/((-1)\/(-24)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - z - 13. Let y be f(-4). What is the tens digit of -6 + (-5 + 4667)\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {g: 4, a: 3, v: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*g - 14 = 3*t, 17*g + 6*t - 292 = 21*g - 0*g + t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -72. Suppose -3*w = -w + o. Find the common denominator of 47\/16 and (-150)\/9*w\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwkwkkkkkkkkkkkkkkw. What is prob of sequence ww?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 8:29 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 12:00 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w)*(w**4 + w**4 - 3*w**4) + (-w + 2*w + 0*w)*(-2129*w**4 - 2032*w**4 + 4640*w**4).\nAnswer: 478*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*r - 4*s, 4*r + 12*s + 26 = -14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -327, 6, -8, -5, 18, 3.\nAnswer: -327, -8, -5, 3, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u + 2*u - 5*u)*(-3 - 1 + 2) + 0*u - u + 2*u)*(2 + 2 + 2).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -35. Calculate the greatest common divisor of w and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 2*f**2 - 2*f**2)*(-8 + 4*f + 14 - 7) - 5*f**3 + f**3 + 2*f**3.\nAnswer: 6*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110))\/sqrt(10) + sqrt(66)\/(3*sqrt(6)) + sqrt(396)*-3 + -1 + -1)**2.\nAnswer: 188*sqrt(11)\/3 + 24335\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 933432 and 4272?\nAnswer: 1866864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1122506 and 186362?\nAnswer: 4334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/7 - 11474*j**2\/7 - 4396535*j + 1779350300.\nAnswer: -(j - 356)*(j + 5915)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-30)*105\/(-42)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(88))\/(sqrt(144)\/sqrt(2)).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 405*o - 61 + 29.\nAnswer: 405*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 494168.1 centuries?\nAnswer: 593001720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 11:54 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 - 117. Calculate the remainder when 35 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16775 + 16783. Let g = -57 + 95. Calculate the smallest common multiple of j and g.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 65, 41, -19, -133, -319, -595, -979, -1489?\n\"Answer: -3*o**3 - 3*o + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - v - 2. Let l(h) = h**3 + 26*h**2 + 40*h + 29. Let b(j) = 4*g(j) - l(j). What is the hundreds digit of b(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 3*l. Let p be h(4). Let b be 42\/10 + 36\/45 + 4. Solve f - p*f + b = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4621?\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12513 is divided by 241.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.7 + -7. Let k = -0.5 + v. Let f be (2\/6)\/(45\/(-54)). What is the closest to f in k, -3\/2, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 5. Let j(g) = 0 - g - g - 3 + 3*g. Let a(n) = 52*n - 679. Let p be a(13). Calculate p*v(q) + 5*j(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 7.5924.\nAnswer: -30.3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10889, -21744, -32599?\n\"Answer: -10855*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005305 rounded to five dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2748 + -2525. Is y smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - c**3 + 9*c**2 + 7*c + 3 + 0*c**3. Let l(w) = 7*w + 51. Let d be l(-8). What is the tens digit of g(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -20. Suppose -15 = -4*l + z*b + 13, l + 3*b = -9. Suppose 0 = -l*y + 6, -5*y + 7972553 = -p - 427457. Round p to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 428269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-29))\/(2\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(32\/(-6)))\/((-120)\/(-160)*-2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxcp when four letters picked without replacement from pxnxcnpqzzpppqxcp?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*a + 60 = 0, -5*l = 2*a + 2*a + 75. Let m = l + 123\/8. What is the third smallest value in -0.5, m, -2\/19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 17950583.\nAnswer: -2\/17950583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -447, -451, -457, -465?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(1\/2)*m))\/m*m*m\/m**(-2\/27)*m assuming m is positive.\nAnswer: m**(139\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((50\/6)\/(15\/27))\/2)\/((-9)\/(-54))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 2*z + 2*i, -3*z = -i - 9. Let l(b) = 8*b + 2. Let n(w) = -w. Let o(y) = z*l(y) + 21*n(y). Is o(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24\/10)\/((-4)\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 0 - 2 + 3*r**2 + r - 4*r**2. Let w be t(2). Suppose -2*b - 21 + 5 = -2*n, 4 = -w*b. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**3 + 3*w - 3*w + 72*w**3.\nAnswer: 64*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.0553 and 1.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28fc (base 16) to base 15.\nAnswer: -3197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201442 (base 7) in base 2?\nAnswer: -1000001110010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040069836 rounded to 3 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1280 from 2.3.\nAnswer: -1277.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -78. Let i = b + 4. Factor -62 + i*d**2 + 13 - 4*d**2 - 14*d.\nAnswer: -(d + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r**2 - 294*r**2 + 7*r**4 - 60*r**3 + 22 + 79*r**2 + 78*r**2 - 35*r - 5*r**3.\nAnswer: (r - 11)*(r + 1)**2*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**4 + 2*p**4 + 4*p**4 + 6*p - 6*p + 10*p**4 + (-3*p - 2*p + 6*p)*(0*p**3 - 3*p**3 + 4*p**3) + 2*p**4 + 2*p - 2*p.\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863395547?\nAnswer: 7, 593, 207997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - 2*s**3 + 4*s**3 + 4*s**3 - s**3 - 6*s**3 + (-2*s - 1 + 1)*(s**2 + s**2 - s**2) - s**2 - s**3 + s**2 - 3*s**3 + 0*s**3 - s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 104740 (base 10) to base 4\nAnswer: 121210210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197859*i*y**2 - 10*i*y - 14283754*i with respect to y.\nAnswer: -395718*i*y - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -583\/13 - -45. Let q = -0.02 + 0.02. Is x at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3835.15 millennia to years.\nAnswer: 3835150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 252\/30*(340 - 330).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17652861 divided by 103?\nAnswer: 171387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21550 or 7573?\nAnswer: 21550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-12) + ((-6 + 9)\/3)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -302 + 623. Suppose 2*k + 77 = m. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -47. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3009122 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 28 = 72. Suppose a = g, -2*a = a + 2*g + j. What is the tens digit of (144\/4)\/(a\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -15. Suppose 0 = 2*a + 5*i - 121, -12 = 4*i - 0. Suppose 0*r + a = 4*r. What is the remainder when r is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 4. Let u be k(-6). Let f be 1*-4*9\/(-36)*5. What is the third derivative of -3*c**f + 2*c**u + 2*c**2 + 9*c**2 wrt c?\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493196255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**5\/30 - v**4\/24 + v**3\/3 + 4*v**2. Let a be b(1). Solve -9*r - 3*r**3 - 4*r**2 - 2*r**a - 3*r**4 + r**4 + 8*r = 0 for r.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505 - -412 - (-5 + -3).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**3\/3 - g + 2. Let k(p) = -13*p**2 - 10*p - 1. Let w(t) = -k(t) + s(t). What is the second derivative of w(o) wrt o?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (10 + -5)\/((-5)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 = 15*g + 487 - 237 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 1)*(-2*w - w + 5*w) + 2*w - 6*w + 2*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 6*l**2 + 5*l + 4. Suppose 9 = -i + 5*y, -3*i - 11 = 5*y - 4*y. Calculate the lowest common multiple of c(5) and 2\/i*-20*2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 49. Calculate the smallest common multiple of 12 and f(27).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*i**3 + 26*i**3 + 58*i**3 + (i - 5*i + 6*i)*(0*i**2 - i**2 - i**2).\nAnswer: 72*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000649 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 >= -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3393 + 3853. What is the remainder when y is divided by 167?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 1. Suppose -3*p + 54 + 68 = 4*x, -2*x + 54 = 5*p. Calculate the remainder when x is divided by o(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -34*m**5 - 7*m**2 - m. Let f = -1 - 6. Let y(k) = 23*k**5 + 5*k**2 + k. Let w(b) = f*y(b) - 5*g(b). What is the second derivative of w(h) wrt h?\nAnswer: 180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, 27700, 3 in descending order.\nAnswer: 27700, 22, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9095.95 - 8762. Let k = 334 - s. Let x = 363\/19 + -19. What is the biggest value in x, k, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g**2 - 5*g - 541. Calculate r(0).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - l = -37, 3*l + 10 = 3*o - 29. Let j(s) = 5*s - 45. What is the units digit of j(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2895*r**2 - 10*r + 89. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 36 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -56. Let g(o) = 2*o**2 + b*o + 14 - 4 - 9*o. What are the prime factors of g(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 8*j**2 + 73*j - 575. Let p be i(8). Let l(y) be the second derivative of 0 - 1\/4*y**4 - 3*y**2 + p*y + 3\/2*y**3. Find t such that l(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 r when three letters picked without replacement from lkdldlrkrldkddjjd?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.9 - 1.9. Which is the second biggest value? (a) q (b) -3 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 51 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1270.02 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 7*o - 12. Let y be d(-9). Let a = 18 - y. Find the first derivative of -3*f**4 - 5*f**4 + 6 - a + 4*f**4 wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 1. Let u be q(-3). Let a(m) = -2 + 30 + m**3 + 5*m - 32 + 6*m**2. Calculate a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852\/8*10 + -2 - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*z - 57*z + 26*z)*(2*z + 0 + 0) as l*z + d + b*z**2 and give b.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -26 (b) -0.2 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -30*r - 3. Suppose 2*c + 3*u = -0*c + 17, u = -c + 7. Let v be ((-2)\/(-1))\/(c\/(-6)). Is x(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4436 + -70?\nAnswer: 4346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + y + 2, 3*y = 5*b + 2 - 8. What is the units digit of -40*(b + -7 + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (3 - 5)) + (-21 - -7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 9*s**2 + 22*s + 4. Let l(v) = 3*v**2 + 8*v + 1. What is 3*d(x) - 8*l(x)?\nAnswer: 3*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*12\/(-162)*-9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -12*o - 3. What is the smallest common multiple of 70 and -3 + 2406\/24 + o\/12?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1120 and 14360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 11 = -21*w. Solve -4 - 2 = w*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1494530, 2 in decreasing order.\nAnswer: 1494530, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -6*h**5\/5 + 3*h**4 + 18*h**3\/5 - 12*h**2 + 24*h\/5 = 0.\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -14. Let s(o) = o**3 - 6*o**2 + 2*o - 4. Determine s(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3369 - -3369.4. Sort 37\/2, h, 2.\nAnswer: h, 2, 37\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 836 + -437. Is 8 a factor of (-2)\/4 - p\/(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(-753)\/(-18)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - a. Let s = -86 + 50. Let r(w) = 20*w**2 - 16*w. Let g(c) = s*v(c) + 2*r(c). What is the second derivative of g(i) wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6019524 times -55?\nAnswer: 331073820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3 (c) -0.22 (d) 3312\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 20 = -k. Let f be (4\/(-10))\/((-2)\/10). Let r(s) = -3*s**2 - 3*s + 1. Let j(w) = 0*w**2 - 7*w**2 + 0*w**2 - 7*w + 2. Give f*j(d) + k*r(d).\nAnswer: d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6097503.7 rounded to the nearest 1000?\nAnswer: 6098000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8196797 millennia in decades?\nAnswer: 81.96797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*l**5 - 11*l**2 + 11*l**2 + (-l + 2*l + l)*(-4*l**4 - 2*l**4 + 5*l**4) - 26*l**2 + 26*l**2 - l**5.\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 3:22 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -8\/3 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -11*k**3 + 3*k + 5. Let f(j) = 17*j**3 - 4*j - 8. Calculate 5*f(n) + 8*q(n).\nAnswer: -3*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 394653573 and -9109?\nAnswer: 394662682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2327 and -6.953?\nAnswer: -16179.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 4, 0, -3 in descending order.\nAnswer: 4, 0, -3, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2947 is divided by 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2010*x - 7987*x + 3 - 7 - 2. Let t(v) = 9998*v + 5. Let c(q) = -4*t(q) - 3*w(q). Let z be c(-2). What is z rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.025505 - -17.\nAnswer: 16.974495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14361 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*d - 232, -l - 5*d = -4*l + 112. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-112)\/28 - 14\/(0 + -2). Factor 0 + 1\/2*s**5 - 2*s**2 - 2*s**4 + 1\/2*s + 3*s**x.\nAnswer: s*(s - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 0.3. Let o be 1 - (7\/3 + -2). Suppose -5*n + 4 = -3*n. Which is the smallest value? (a) n (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(80)*2)*-5 - (sqrt(605) + (sqrt(605) - 2*sqrt(605)) + -5 + sqrt(80) + sqrt(5)))**2.\nAnswer: 300*sqrt(5) + 4525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/19 and (2632\/77)\/(-4) - -5?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 2*i)*(4*i - 2*i - 3*i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:49 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5215\/3129)\/(5\/(-69))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-896)\/168*(-9)\/17031. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -126, -188, -250, -312, -374?\n\"Answer: -62*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 43302?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 1)*(-2*k**2 + 4*k**2 + 25*k**2).\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u + 5940 = 23*u. Let d = -809 + u. 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 divisor of 799398 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3)*-4)\/((sqrt(6) - (sqrt(6) - (1*sqrt(6) - sqrt(6))*5)) + sqrt(6)) - (4 + (-5 + -1*sqrt(98)*6)**2).\nAnswer: -3557 - 424*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c + 5. Let u be b(0). Is ((-6531)\/(-12))\/(u\/20*1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94414 is divided by 650?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 16 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164867239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151.615 - 151. Let q = 0.803 - n. Put -1\/3, -0.1, q in ascending order.\nAnswer: -1\/3, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w + 1. Let v be g(5). Find the third derivative of v*x + 16*x**2 - 76*x - 12*x**4 wrt x.\nAnswer: -288*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7)*q)\/q)**(1\/11)*(q*q*q\/q**(-2)*q)**(14\/5) assuming q is positive.\nAnswer: q**(6478\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714657768 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382885863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 14*s**2 + 21*s - 11. Let o be p(12). Let b = 521\/11 + o. Is b at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 11*f**2 + f - 7. Let i be n(11). Let x(a) = 4*a**2 - 8*a - 2. Let q be x(1). Put q, i, -4 in ascending order.\nAnswer: q, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -438 (base 11) to base 13.\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/125 - (-1044462)\/150. Suppose -5*o + 15*u + b = 13*u, -3 = -3*u. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9818.206 centuries?\nAnswer: 11781847.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 - -5 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 3*n**2 + 4*n - 2. Let d be j(2). Suppose d*b - 6*b - 8 = 0. Let c be b*2\/14 + 1160\/140. Solve c*z - 3*z - 20 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -q + 3, s + 5*q = -0*q + 23. Let a be (s\/7)\/((-4)\/14). Factor -a - 1\/2*p**4 + 1\/2*p + 3\/2*p**2 - 1\/2*p**3.\nAnswer: -(p - 1)**2*(p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = -4*d, -4*x - 5 = d + x. Solve -4*q = d*p - 2*p + 13, -3*p = -2*q + 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -3. Let t = -17 + w. Solve -2*y - 2*l - t = 0, l = y - 0*l - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -37*s + 53. Let j be g(8). Let c = j - -110. Which is greater: c or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223472.8181 rounded to the nearest one thousand?\nAnswer: 223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -558134499.00000034 + 558134482. Let s = k + 17. Round s to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1342103440 (base 5) to base 2.\nAnswer: -1101001111101111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6921*j**3\/2 + 76127*j**2\/2 - 34583*j - 20 = 0 for j.\nAnswer: -4\/6921, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 174821 and -442?\nAnswer: 175263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5592 - 0.8295. What is g rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23839595?\nAnswer: 5, 13, 29, 12647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 278201993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 328\/10 + (-4)\/(-20). What is the greatest common divisor of 55 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 47. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*r + 25, -2*r + 20 = 3*o. Let i(h) = -2*h**2 - 9. Let w(a) = 2*a**2 + 8. Let c(y) = o*i(y) + 5*w(y). Differentiate c(p) with respect to p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2. Let m(z) = -2*z - 1. Let g(o) be the third derivative of o**3\/6 - 24*o**2. Let i(n) = -g(n) - m(n). What is b(i(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5631 (base 12) to base 9\nAnswer: -14071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62435\/9 + -1 - (-178)\/(-801)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -7141?\nAnswer: 7136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -30734 (base 8) to base 2\nAnswer: -11000111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 39*b**2 + b - 29. Is i(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2050761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2, 4\/5, -37, 9 in ascending order.\nAnswer: -37, -2, 2\/3, 4\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.86667 years in decades?\nAnswer: 9.386667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(405) - (-4*sqrt(405) + sqrt(405))) + sqrt(405) + -5*(sqrt(405)*-4 - sqrt(405)) - (4*(3*sqrt(405) + sqrt(405)) - -3*-1*sqrt(405)))**2.\nAnswer: 612*sqrt(5) + 117049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41107*m**5 + 121*m**3 - 7450095*m**2 wrt m?\nAnswer: 2466420*m**2 + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -31. Let b = -1.9 - 6.1. Is b < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d + 1. Let z(w) = w. Let f be z(6). Let j be (-2)\/f - 8\/12. Calculate t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 23*t - 2*t**2 - 22*t in the form q + b*t + a*t**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 23. Let c(y) = -4*y - 5. Let h be c(n). Suppose -h*i = -5*j - 4*i + 303, 2*i = j - 65. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 5*s**2 - s - 1. Let y be g(3). Let v(i) = 2*i**2 - i + 2. Let d be v(3). Let b = d + y. Solve b*f - 4*p - 24 = 0, f - 2*f - 24 = 5*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -20832*f + 1562353. Determine h(75).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33983 + 33542.98. Let t = j + 435. What is t rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {t: 3, l: 2, s: 3, p: 1, i: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2336.6 - 2337. Put -0.2, -142, o in ascending order.\nAnswer: -142, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236 - -235. Which is bigger: j or 1\/69?\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 3093082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 5:05 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((0 + sqrt(612) + sqrt(612) - sqrt(612)) + 1) + -4)**2.\nAnswer: -48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 9 = -6*h. Solve y = h*y + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 12*x - 13. Let a be d(8). Let k = -19 + a. Solve -z + 4 = -k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c - 25*c + 8*f = -3*c - 149, 4*c + 5*f = -83 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*b**2 - 102*b**2 - 814*b**2.\nAnswer: -1090*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 + (-204)\/21. Let q(l) = 2*l**3 - 7*l**2 + 22*l + 5. Let w(t) = -2*t**3 - 2*t**2 - 5*t + 1. Let y(g) = q(g) + 2*w(g). Is y(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u - 9. Let q(m) = 3*m + 9. Let v(n) = -4*l(n) - 5*q(n). Let k be v(7). Let c be 1\/2*(-2 - k). Solve c*r + 5 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/14 (b) -2.7 (c) 12847\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69160 bigger than 760759\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(560))\/(-1*sqrt(343)))**2.\nAnswer: 11520\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1890 - 7*f**2 - 1914 - 2*f + 0*f + 2*f - f**4 to the form q*f**4 + d*f + g*f**2 + i + h*f**3 and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 93*y**2 + 3*y + 23. Let q(m) = -526*m**2 - 17*m - 140. Let b(p) = 17*o(p) + 3*q(p). Let s(v) = -16*v. Calculate s(b(h)).\nAnswer: -48*h**2 + 464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by 2\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -259*a*c**3 + 7*a*c**2 + 3823*a*c + 41*c**5 wrt c.\nAnswer: -1554*a + 2460*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -703 + 272. Let n = l + 769. Suppose -3*o + 2261 = n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 7*y**2 + 4*y - 9. Let d be w(-6). What is the second derivative of l**5 + 8*l - 151*l**3 + 151*l**d wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 247 = 2*q. Suppose -q*g + 12*g = -21. Suppose 3*y = -3*n + 15, -5*y + 7 = g*n - 2. Let k(h) = -h**2 + 11*h - 5. Give k(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -b + 6. Solve -b*y = y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.482202 milliseconds in seconds?\nAnswer: 0.001482202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 66. Let h be x - 12 - -4*2. What is the second derivative of 0 - 67*t**3 + 7*t + 92*t**h + 0 wrt t?\nAnswer: 150*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 0*f**2 + f**2 + 3*f**2 - 2*f**2. Let q(g) be the second derivative of -g**4\/4 + 3*g. Calculate l(q(b)).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**3 + 305*t**2 - 409*t - 532. Calculate g(-103).\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/4)\/((n\/(n\/n**8))\/n)*(n\/(n\/n**(-2)))**(21\/4) assuming n is positive.\nAnswer: n**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 - 558*f**2\/5 - 2264*f\/5.\nAnswer: 2*f*(f - 283)*(f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27516271.\nAnswer: 37, 569, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-9))\/(-4) + (-1)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -5\/23, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1997523635.\nAnswer: 5, 2789, 143243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 365 + -181. Suppose 47*o + 460 = 67*o. What is the highest common factor of o and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13 and -8\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3361.\nAnswer: 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1905 = 5*r + 3*q, 0 = -q + 5*q. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73780 divided by -2.\nAnswer: 36890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*a = 3878*a - 239856 for a.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -609089*o*q + 1066957*o wrt q?\nAnswer: -609089*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9062.618 millennia in centuries?\nAnswer: 90626.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*3\/(-12))\/((-6)\/52)*(-14796)\/1233?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -311*x**2. Let d(f) = 6*f**2 - 24*f - 9. Let w(j) = 17*j**2 - 64*j - 24. Let y(t) = 8*d(t) - 3*w(t). Determine h(y(u)).\nAnswer: -2799*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 233 + -1 + (11 - 7).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1339570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175801 or -175800?\nAnswer: -175801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**1*c)**23)**(-5\/13)*((c**(10\/7)*c)\/(c*c\/c**(2\/9)))**(1\/44) assuming c is positive.\nAnswer: c**(-1274587\/36036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.71789 rounded to 3 decimal places?\nAnswer: 2.718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 556491 to the power of 1\/2, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 986893585 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1373 + 3958 = 4*h, -25 = -5*y. Suppose 3*i - 2*f = -6405 - h, 4*f + 2578 = -i. Is 2\/(-9) - i\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 240.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**3 + 168*u**2 + 348*u + 176 = 0.\nAnswer: -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*u + 6, -8 = -7*u + 11*u + a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - -231) + -150 + (0 - 25)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/15 (c) 94019 (d) 2 (e) 49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1103320686 less than -1103320687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 62 + 58. Suppose -l = 3*l + v. Let m be (-8)\/l*(-20)\/(-8). Solve w = m*n, -4*w = 5*n - 10*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5*1*sqrt(136) + sqrt(136) + 5*(sqrt(136) - -1*sqrt(136)))\/(sqrt(392)*1*-1 - (sqrt(392) - (sqrt(392) - sqrt(392)*-2)*-5)))**2.\nAnswer: -64*sqrt(17)\/119 + 3588\/833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p. Let b(g) = -30*g. Let i(q) = 6*b(q) - 35*o(q). Let c(m) = -4*m**2. Calculate c(i(a)).\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46452839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1.31\nAnswer: 0.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 2*w + 2*t - 226 = 0, -366 = 15*w - 16*w - 5*t + 205 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3522328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5)*-2 - (-1*sqrt(77) + sqrt(77))\/sqrt(11)) + sqrt(35)\/(sqrt(80)\/sqrt(4)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 131498627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2442, -2446, -2450, -2454, -2458?\nAnswer: -2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + 2))*5 + sqrt(180) + sqrt(180) + (sqrt(180) - 2*sqrt(180)*-2))**2.\nAnswer: -840*sqrt(5) + 8920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -286 - -482. Calculate the highest common factor of 28 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 181453190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4394716 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -5. Let d(h) = 4*h + 5. Let w be d(-2). Let u be (-3 - w)*3\/6. Solve -t + 2*t + k = u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4447173\/(-43057) + (-10)\/14 + -1?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -10, 0.5 in ascending order.\nAnswer: -10, -5, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**2\/2 - 26469*y\/2 = 0?\nAnswer: -8823, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9686580 and -17.954351.\nAnswer: -9686597.954351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 6:31 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 251 - 266 - (0 + -30)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 - 4*c**2 = 0. Calculate c.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 125 * 0.11703\nAnswer: 14.62875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 16*u**3 - u**2 + 3*u - 37. Let p(m) = m**3 + m. Let b be (-2)\/3*12\/(-8). Let c(o) = b*s(o) - 3*p(o). What is the derivative of c(f) wrt f?\nAnswer: 39*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14996 + -5?\nAnswer: -1499b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 5016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103653935.\nAnswer: 5, 7, 11, 269231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2. Let u(z) = 4*z**2 + 49*z. Calculate u(g(l)).\nAnswer: 36*l**4 + 147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4.9999645. What is y rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 11. Suppose -3*i = i - 32. Let q be o(i). Solve q*w = -4*u + 32, 3*u + 2*w - 8 - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40b79 (base 13) in base 11?\nAnswer: 7a33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-91)*-21 - (16 - 11). Let q be 24 - (0 - (-12)\/(-3)). Solve 6*t = d - q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 392 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, -10848 in descending order.\nAnswer: 2, -17, -10848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(27)\/sqrt(3)))\/(sqrt(40)\/sqrt(128)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -0.08179654.\nAnswer: -0.73616886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/42)\/((-1)\/(-6634)). Let b = v + 13189\/4. What is the common denominator of b and -1*1 - (-12)\/(-27)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 50, 5, 3\/7, 0.173?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1760 divide 909425440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 100, 357, 764, 1321, 2028, 2885, 3892?\n\"Answer: 75*y**2 + 32*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5.97. Let p = 0.43 - r. Suppose g = -0 - 1. Which is the second smallest value? (a) 1 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**2 - w. Let b be l(-1). Let i(p) = p - 4. Let s be i(b). What is the units digit of 73\/2 - 5\/s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000303108542 rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o - 4*o + o)*(5 - 5 - 2) - 1 + 1 + 2*o - o - 3*o + 5*o + (-2*o + 2*o + 2*o)*(2 - 1 - 3))*(o**3 + 3*o**3 - 2*o**3).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, z: 1, u: 3, a: 3, c: 1, q: 1}. Give prob of picking 2 a and 1 s.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9)\/(2\/(-516)). Suppose 2*z - 4*q + i = -z, 3*z + 3*q + 51 = 0. Is -21 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + 8*p**2 + 58*p + 879. Calculate c(-10).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -50*a + 2345. Give w(47).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 298*k**3 - 2*k**2 + k + 3. Determine d(-1).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 89295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 - 4) - (4 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*a + 9, o + 3 = -a - 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -29*w**7\/6720 - w**6\/480 + w**4\/24 + 7*w**3\/6 + 90*w**2 - 1. Let o(x) be the second derivative of c(x). Factor o(s).\nAnswer: -3*s*(29*s + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Suppose -1119 + 139 = -4*s. Let g = 240 - s. What is l(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 215352430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, 22, 4, -6, -2, 63 in descending order.\nAnswer: 63, 27, 22, 4, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = i - 5*a, -24*i + 38*i + 4*a - 984 = i for i.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**3\/6 + 3*i**2\/2 + 7*i. Let t(h) = 1. Determine 2*t(q) - y(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from atuaxxd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -457 + 2433. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 674438 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqii when four letters picked without replacement from {q: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-26) - 5890\/(-247). Let s(u) = 4*u**3 - 3*u**2 - 7*u. Let t(r) = 20*r**3 - 16*r**2 - 36*r. Let y(m) = c*s(m) - 5*t(m). What is a in y(a) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/5 (b) -24 (c) 0.0452 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1281282 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -13*j**2 - 115*j + 14. Let d(t) = -11*t**2 - 115*t + 12. What is 6*c(g) - 7*d(g)?\nAnswer: -g**2 + 115*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7542*j**2 - 1324*j**2 + 850 - 850 - 12448*j**2 to the form p*j + u + s*j**2 and give s.\nAnswer: -21314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -7*j**4\/4 + 3*j**3 - 87*j**2\/2 - 2*j - 1996. What is the second derivative of i(p) wrt p?\nAnswer: -42*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4585, -9, -0.49?\nAnswer: -4585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 3*u + 3. Let b be r(-2). Let k(j) = j**3 - 2*j**2 + j + 10. Let h be k(0). Solve 4*d = -2*q - h, b*d - q = -2*q - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659748314 to the power of 1\/2, to the nearest integer?\nAnswer: 25686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = 53*n - 168 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -33, -48, -59?\n\"Answer: 2*w**2 - 25*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*1\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(1 - 1 + r) - 10*r + r + 0*r)*(21*r**3 - 8 - 15*r**3 - 9*r**3).\nAnswer: 24*r**4 + 64*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/14)\/d**(1\/14) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2739762, 2739777, 2739804, 2739849, 2739918?\n\"Answer: p**3 + 8*p + 2739753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -32. Suppose -9 = -13*c + d*c. Let s = 57 - -15. What is the greatest common divisor of c and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*s**4 - 17915*s**3 - 5*s - 3649435 wrt s?\nAnswer: 80*s**3 - 53745*s**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/2 - 67*d**3 + 2320*d**2 - 22016*d.\nAnswer: d*(d - 86)*(d - 32)*(d - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -387842 less than -387842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357 + 360. Let a(v) be the third derivative of -v**5\/60 - v**4\/24 - 1855*v**2. Let w(b) = -9*b**2 - 7*b. Let t = 35 + -56. Give f*w(k) + t*a(k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-45)\/162*(-1026)\/180\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178*a**3*d + a**3 - 36*a**2*d - 3*a**2 - 131*a*d - a + 25*d wrt a?\nAnswer: -1068*a*d + 6*a - 72*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*w - 100*w - 203 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j*j\/j**(3\/5))\/j)\/j)\/j**0*((j\/j**(-2\/9))\/j)\/j*j*j**(-3\/7))\/(j**2*j**(2\/13))**(-2\/23) assuming j is positive.\nAnswer: j**(35879\/94185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18150, 18143, 18118, 18069, 17990?\n\"Answer: -i**3 - 3*i**2 + 9*i + 18145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 - ((7 - 3) + 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3347202 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71.4237 from -203471.\nAnswer: -203542.4237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 54 = 16. Let z be 0 + w*(0 + -1). Let f = z + 51. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:50 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1826 and 2.4.\nAnswer: -0.43824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 11:31 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 2*n**2 - 8*n + 2. Suppose -22*p - 2128 = -238*p - 184. What is the lowest common multiple of g(6) and p?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (7 - (-17 + 3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/3, 0.3, 3.\nAnswer: -1\/3, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1365)\/780*(-1 - 29\/(-35))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -642621?\nAnswer: -64262.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(153)*1)\/sqrt(324).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19134*f**2 - 3*f - 43 + 43.\nAnswer: -19134*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65262.\nAnswer: 2, 3, 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 44, 0.4, 0.5, -5, 1307\/19?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 360559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*q**2 + 3*q**2 + 53*q + 55*q - 3*q**3 - 107*q to the form r*q + c*q**3 + d*q**2 + b and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3813, 2\/17, -1\/2, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from qoqqufooqzo?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1463 + 1463 - 15*q)*(2 - 3 + 9 + (-3 + 3 + 1)*(1 - 3 + 4) - 2 + 2 + 2) in the form j + m*q and give m.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 104 + 176*c - 175*c.\nAnswer: c - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -6, -7 in increasing order.\nAnswer: -18, -7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*p + 34*p + 36*p)*(-6*p + 4*p - p).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-14))\/(5\/35). Let i = -4 + b. Let z be -3 - (-4)\/i - -3. Solve 6 = -z*w - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 2:08 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 125*t**4 - 2*t**3 - 47*t**2 - 165916*t.\nAnswer: 1500*t**2 - 12*t - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q - 5. Let g be w(-4). Let i be (-12)\/10*(-5 + 32 + -7). Let p = i - g. Calculate the highest common factor of p and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 4*v - v + (2*v - 4*v - 2*v)*(-4 + 0 + 3) + (v + 27*v + 3*v)*(-4 + 2 - 8) to the form n + m*v and give m.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/58?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + o = 0, 5 = -2*l - 2*o - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 6454203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19898\/7 + 2850. What is the common denominator of f and -34\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3755 = p, 2*p = -4*x - 2290 - 5180. Let f be p\/(-285) + 4\/(-30). Calculate the highest common factor of 91 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22821305 divided by -4564261?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 11:38 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 645208265 to the power of 1\/3, to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 5*f - 9. Let n be p(-7). Solve -n*b - 2 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*l**2 - l**3 - 575*l**2 + 286*l**2.\nAnswer: -l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1823866615 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65605 is divided by 248?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 7*y**2 + 2*y - 10. Let p be i(6). Calculate the remainder when p\/(-6) + 20\/15 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3124 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.095 - 3.095. Which is the nearest to -1? (a) -0.147 (b) j (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4592.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 69*g**3 + 4*g**2 + 59. Let o(p) = -70*p**3 - 3*p**2 - 61. Let r(q) = 3*f(q) + 4*o(q). What is the derivative of r(c) wrt c?\nAnswer: -219*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24\/12265?\nAnswer: -24\/12265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from {o: 3, q: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1308600 + -6698\nAnswer: -1315298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2 - 44*c**3 + 48*c**3 + c**2 = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 4*y + 9, -14*v + 12*v + 2*y = -4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29649472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5405?\nAnswer: 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**6 - 2*m**5 - 2680*m**3 - 1546*m**2 + 1 wrt m.\nAnswer: 120*m**3 - 120*m**2 - 16080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18875\/10872 - (-2)\/18 and 91\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70984377.\nAnswer: 3, 2629051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c**2 + 2*c + 2. Let h(d) = 29*d**2 - 3*d - 3. What is -3*h(o) - 5*w(o)?\nAnswer: -17*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -78*k - 2. Let p(m) = 39*m + 1. Let x(z) = -2*i(z) - 5*p(z). Let n(v) = v - 3. Let d be n(1). Is x(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*i - 6*i - 22, 2*a + 4*i = 8. Let g(d) = 12*d. Let l be g(a). What is the greatest common divisor of l and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 17 = -k, 2*n + 0*k - 1 = -k. Solve -2*f + 25 = n*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from bbbbbbbbbbibbbbbbb?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36941292, -36941266, -36941238, -36941208, -36941176, -36941142?\n\"Answer: d**2 + 23*d - 36941316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -2*g**5\/15 - g**4\/6 + g**3\/9 - 5*g + 2. Let f(d) be the first derivative of u(d). Find r such that f(r) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 150*h**5 + 147*h**5 - 230*h**5 + (-3*h**2 + 2*h**2 + 2*h**2)*(-4*h**3 + 2*h**3 + 4*h**3 + (0*h + 2*h - h)*(-3*h**2 - 12*h**2 + 30*h**2)).\nAnswer: 84*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.14844 times -247\nAnswer: 36.66468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93622773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1010?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 193 - 4053db?\nAnswer: -405248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + x**5 + 2*x + (-7*x**2 - x**2 + 2*x**2)*(2*x**3 + 5*x**3 + 2*x**3) + 1 - 1 - 3*x**5.\nAnswer: -56*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -727.199017 to 0 decimal places.\nAnswer: -727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 258*j + 311. Is w(54) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 558\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 5*d**2 - 7*d + 8. Let q be l(6). Suppose -q*p + 7*p = 5. Suppose -2*i + 3 = -n, -p + 3 = 3*i - 2*n. Solve i*c + c + 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406 >= 1433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 0 + 2*i**3 + 0*i - 8*i**2 + 2\/9*i**4 = 0.\nAnswer: -12, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30832327?\nAnswer: 599, 51473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -325.9.\nAnswer: 1955.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14bb1187 - -5?\nAnswer: 14bb1190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**4\/12 + a**3\/6 + a**2\/2 + 4*a. Suppose -2*k + 4 + 2 = 0. Suppose -3*f = k + 6. Give o(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/9)*(k**(3\/2)*k)\/k)**(-39) assuming k is positive.\nAnswer: k**(-481\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/5 - 21*c**3\/5 - 42*c**2\/5 + 144*c\/5 = 0. Calculate c.\nAnswer: -3, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 14*o + 101. Let r be w(-5). Suppose r = x - 2*i, 9*i - 7*i = 5*x - 445. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by -160917?\nAnswer: 62\/160917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1064.549 - 0.066728093\nAnswer: -1064.615728093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 27*m**2 + 3*m + 3. Let f be a(-1). Suppose f = -o + 4*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -57, -6, 49, 108, 171?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-120)\/50)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Suppose h + 2*h - u = 0. Let q be 4*(-1 - 6\/(-4)). What is the greatest common divisor of h and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -133. Let n be 12\/i + 84\/30. Suppose 4*y - l = 519, 5*y - n*l + 44 - 692 = 0. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(24\/27) + 1*-1.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpms when four letters picked without replacement from hsnpssmhs.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99) + sqrt(99)*-2*-5)\/sqrt(9))**2*-4.\nAnswer: -47916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a0 (base 12) in base 2?\nAnswer: -1111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 242*x - 80. Let n be y(-4). Let c = -342 - n. List the prime factors of c.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14*b**2 + 1. Let w(g) = -6*g**2 - g. Let y(s) = h(s) + 2*w(s). Let k(v) = v + 8. Let x be k(-6). What is y(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l*t*y**2 + l*t*y - l*t - 61*l*y**2 - 144*l - 4110*t*y + 10 wrt t.\nAnswer: 5*l*y**2 + l*y - l - 4110*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from {h: 2, p: 1, y: 2, v: 1, u: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -8*h**2 + 5*h. Let r(j) = 2*j**2 - j. Suppose -8*k - 19 + 35 = 0. Let x be 4*(18\/4)\/3. Let z be (-12)\/(-2)*9\/x. Calculate k*c(w) + z*r(w).\nAnswer: 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.036 - -10.036. Let x = y - 10. Which is the biggest value? (a) -3 (b) x (c) 4\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 4)*(-3 + 0). Let z = 3 + u. Suppose -3*h + z = -5*k, -4*h + k = -3*k - 16. Solve h = 2*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.06602 years in millennia?\nAnswer: 0.06106602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-2)*(-1)\/(-6)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6*c + 20. Suppose -639*a = -637*a - 448. Suppose -5*q + 304 = a. Solve -w - q = -c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from dlffudddufffff?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07414932 and 7?\nAnswer: 7.07414932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.98462 micrograms to kilograms.\nAnswer: 0.00000000098462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 25. Let c be ((-4)\/6)\/((-12)\/126). Suppose -i*s = -c*s + 15. Solve 0 = -2*y - y - s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/32)\/(5\/(70\/(-21))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x + 13 + x + 6*x. What is the remainder when 39 is divided by f(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - -303.9487.\nAnswer: 304.3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whb when three letters picked without replacement from bhhbhwb.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 339 - 150. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10229*t. Let d(p) = 751*p. Calculate d(r(x)).\nAnswer: 7681979*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.83244 to one decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5000 is divided by 129.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 18*a**2 - 21*a + 47. What is f(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 84\/14 + 9\/(45\/40). Solve 2*o = -2*o - 3*g - l, -12 = 4*o + 4*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b (base 14) to base 13.\nAnswer: 1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, 1 l, and 1 v when four letters picked without replacement from {v: 1, n: 3, c: 2, f: 8, l: 3, p: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n + 1\/2*n**3 + 18 + 3*n**2. Calculate u(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3964282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - 17) + 8\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4555 = -8*x - 123. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0 + 18*w - 5*w**2 + 5\/12*w**4 + 5\/6*w**3. Factor t(c).\nAnswer: 5*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-240)*-4*75\/6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x**2 + 2*x)*(4*x**3 + 2465*x**2 + 8313 - 1917 + 2466*x**2 - 4931*x**2).\nAnswer: -8*x**5 - 12792*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a + 15. Let k(l) = l + 1. Let y(g) = -2*k(g) + p(g). Let o be y(7). What is the second derivative of 8*b + o*b**4 - 2*b**4 + 19*b wrt b?\nAnswer: 384*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Let o be 5 + (3 - h) + 1 + -1. Suppose -3*w = -3*y - 27, w + o*y - 3 - 1 = 0. Solve w = k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d - d**2 - 76 + 102 + 8*d + 188 to the form u + v*d**2 + t*d and give u.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*x**5 + 67*x**4 + 2*x**3 + x + 20282?\nAnswer: 920*x**3 + 804*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = -3*v, 0 = -4*z + 12. Suppose -2*b + 4 = -3*i, v*b + 3*i + 4 = 8. Calculate the highest common divisor of 26 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -108, -440, -994, -1770, -2768, -3988?\n\"Answer: -111*v**2 + v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-2)*30\/(-35). Let q = 7 + 5. Let n = q + -8. Which is the third biggest value? (a) t (b) -2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17916355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32319\/(-2052)*(-4)\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 24751645?\nAnswer: -24751661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16864 + -16875.941. Let q = p - -0.041. What is q rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/9)*f)\/(f\/f**(-1\/5)))\/(((f*f**6*f)\/f*f)\/f**3) assuming f is positive.\nAnswer: f**(-254\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1796 divide 5775769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/5 + 3600756*z**3 + 36007552*z**2\/5 = 0. Calculate z.\nAnswer: -9001888, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 v when four letters picked without replacement from xxxvxxvxxxxx?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*o - 2*c, -2*c - 1 = 5*o + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/12 and -9\/44680232.\nAnswer: 134040696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24605, 49554, 74845, 100478, 126453, 152770?\nAnswer: 179429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 11*o**2 + 28*o - 38. Calculate n(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(2 - 5 + 1)*(w**5 - 2*w**5 + 0*w**5) - 2*w**5 - 1 + 1.\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (228\/(-10640)*-28*30\/56)\/(6\/7). Find o, given that 39\/2 + p*o**2 + 21\/2*o = 0.\nAnswer: -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27 - -3.27. Which is the third biggest value? (a) -0.2 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64283361*-1.\nAnswer: 64283361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 = 1321*z - 1349*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 28*m + 4*m + 4 - 27*m. Let f be r(0). What is the closest to -12 in -1, 2, 0.3, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -594*c**3*x**4 + 3*c**3*x**2 + 16*c*x**2 - x**3 + 6*x**2 wrt x?\nAnswer: -14256*c**3*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11432020 (base 5) to base 12\nAnswer: -52881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x**2 + 29*x - 3. Let p(u) = -9*u**2 + 32*u - 2. Let h(b) = 7*p(b) - 8*t(b). Suppose o = -2*d + 3*o + 10, 3*d = -5*o + 31. What is h(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144041 is divided by 70605.\nAnswer: 2831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22033*w**2 + 119766*w?\nAnswer: -44066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 4*p**2 - 4*p + 8. Let r be m(-5). Which is the nearest to 3\/4? (a) -0.4 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 23 = 89. Let j(w) = 3*w + 3. Let v be j(0). Suppose 6 = u - v*n, -2*u + 5*n + 4 = -11. What is the remainder when x is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 0.01.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76096\/6505 + 5\/2602. Calculate the common denominator of 298\/12 + (-1)\/(-3) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 698520?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -7, -15, -2, 201?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 362817914 to the power of 1\/3, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m - 5. Let z(v) = 3*v + 4. Let a(i) = -4*i - 6. Let b(y) = 2*a(y) + 3*z(y). Calculate b(n(x)).\nAnswer: 10*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -4, -1.2, 0?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a + 1. Let k be t(-7). Suppose -3*y + k = 3*m, 3*y = -2*m - 0*m + 35. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0 (c) 12 (d) -60 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -28 - (131 + -23 - 40)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a tonne in kilograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 979995613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(342) - (sqrt(342) + 1*sqrt(342))))\/(sqrt(50)*-6*2)*-2.\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 743107361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 6*h. Which is the closest to 3\/2? (a) h (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -5. Let w = -120 + 114.3. Let p = i + w. What is p rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19140*v**2 - 9558*v**2 - 9569*v**2.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47607*k**2\/2 - 28779*k\/4 - 225\/2 = 0.\nAnswer: -2\/7, -75\/4534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 2*d. Let b(x) = -x**2 - 2*x + 41. What is -2*b(g) + 2*s(g)?\nAnswer: -2*g**3 + 2*g**2 - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 49818756?\nAnswer: 49818756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -13. Let f(j) = -2*j**3 - 2*j**2 - 2*j + 4. Let q be f(2). Let a = 21 + q. Sort a, -19, o in decreasing order.\nAnswer: o, a, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 93856 = 2*q, -7*b + 6*b + 7806 = 4*q. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = -16. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.9708 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 19*y - 21*y = -20, 5*t = -y - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 7*g - 11. Let h be o(-5). List the prime factors of 32 - (0 - (h - -3)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.000014 + -2. What is l rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33329122 is divided by 16664559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 2*u**2 + u**2)*(-12 + 5 - 20)*(-15 + 5 + 1).\nAnswer: -243*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -42, -134, -304, -576, -974, -1522?\nAnswer: -2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805 is divided by 68?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 2, -60, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkbk when four letters picked without replacement from {k: 5, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4*(-36)\/(-3). Put y, -1, 0 in ascending order.\nAnswer: -1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 843126*d + 2. Let m(c) = 23*c**2. Give o(m(p)).\nAnswer: 1058*p**4 - 19391898*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 236110253 (base 7) to base 3\nAnswer: 1000201010112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 + -105 + (25 - -5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = j - 6*j. Let c = j - -11. Sort -5, c, -4.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.15376 and -24165?\nAnswer: 24165.15376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, -4, 5, -1 in ascending order.\nAnswer: -4, -3, -1, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 1404*s - 1406*s. Put -9, 64, s in ascending order.\nAnswer: -9, s, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -114\/3797659 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -209, -716, -1707, -3344, -5789, -9204, -13751?\nAnswer: -19592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 68781*f - 5414976.\nAnswer: -3*(f + 79)*(f + 22848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -97*g**3 - 9*g + 52 - 33 - 9*g**2 - 28. Let w(z) = -24*z**3 - 2*z**2 - 2*z - 2. What is -9*w(v) + 2*x(v)?\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = j + 4*j. Let t = 14 + j. Differentiate 0 - r**t - 2 + 0*r**4 wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115356*o**2 - 20*o - 1279332?\nAnswer: 230712*o - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802167009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 867 or 6078\/7?\nAnswer: 6078\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.5 times 7.3186\nAnswer: 18.2965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4205 and 112385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -208, -643, -1764, -3895, -7360, -12483, -19588?\n\"Answer: -54*j**3 - 19*j**2 - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4642, 5390, 6138, 6886, 7634, 8382?\nAnswer: 9130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11018.96 to the nearest 100.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15127736353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 - (1029 + -1023 - 56\/6). Factor 3\/2*r**c + 0*r + 0 + 12*r**2.\nAnswer: 3*r**2*(r + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 366*h - 317. What is o(5)?\nAnswer: 1513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4749, 4746, 4741, 4734, 4725, 4714, 4701?\n\"Answer: -s**2 + 4750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -241\/4. Let t = 178 - 106. Let i = t + -69. What is the second biggest value in i, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 0.14. Let k = y - 0.76. Is k bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 5*y - 9. Let d be o(-5). Let i be ((-27)\/(-3))\/(6\/(-4)). Let n = i - d. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4924 + -0.4.\nAnswer: -0.8924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/40 - 13*f**4\/24 - 253*f**3\/6 + 225*f**2. Differentiate t(r) wrt r.\nAnswer: -9*r**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = -5*m + m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11128 + 1)\/(-1) + 0. Suppose -12*l + 154266 + 33792 + 22290 = 0. Let j = l + x. What is j rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 533427138 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/294545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1525 and 93635.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (1 + 8) - (4 + -6)) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -9*i**2 - 4*i + 7. Suppose -a = -4*a + 9. Let n(u) = -5*u**2 - 2*u + 4. Calculate a*q(x) - 5*n(x).\nAnswer: -2*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 358804186 to the power of 1\/4, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 - n**5 - 23*n**5 - 4*n**2 - n**5 + 4*n**2 + (2*n - n - 2*n)*(n + 2*n**4 - n) - 4*n**5 + 8*n**5 - 12*n**5.\nAnswer: -37*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 1. Let h(g) = 5*g. Let s be h(z). Suppose -3*d + 117 = 3*u, -2*u + 20 + 55 = s*d. What is the highest common factor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69145106 is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6 - 14 + 4 - 8*g. Let w be (-6)\/(-4)*24\/9. Let o(d) = w + 0 + 7*d + 0*d - 1. What is 5*l(z) + 6*o(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-322)\/(-6) - -1)\/(906\/279954)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 1. Let a be c(0). Let t be 42\/8 - 5\/20. Suppose -21 + a = t*m. Is m at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31 - -29)*(-10 + 94). Is -168 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 3*s + 5 - s. Let n(p) = -45*p + 65. Let k(z) = 7*z - 10. Let m(h) = 26*k(h) + 4*n(h). What is b(m(o))?\nAnswer: 6*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 9*c. Let d(p) be the second derivative of 0*p**5 - 3*p + 1\/12*p**4 - 1\/30*p**6 + c*p**3 + 0*p**2 + 0. What is the third derivative of d(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62 or 60?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -11. Is 1\/(((-6)\/(-382))\/k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*g**2 - 54*g**2 - 22*g**2)*(1 - 3 + 4).\nAnswer: -332*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3554, 3526, 3500, 3476, 3454, 3434?\n\"Answer: f**2 - 31*f + 3584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227064.\nAnswer: 2, 3, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 - 15*f**2 - 37*f + 140. What is u(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 40*v + 324. Calculate p(-10).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v - 1. Let b be u(2). Suppose 3 = j - 0*j, 3*j = 5*i - b. List the prime factors of (1 + -3)*(-46)\/i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -225 + 227. What are the prime factors of (-1)\/8*h - 2565\/(-4)?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 45?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 5:47 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366796.5 nanometers in millimeters?\nAnswer: 0.3667965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 0, 7*w + 7 = 6*w + d. Let l(y) be the second derivative of -2*y**3 - 24*y**2 + 344*y. What is the least common multiple of 8 and l(w)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 111 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 0.35167.\nAnswer: -0.38167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - (26 - (-33 - -96) - -4)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11569.9999998907 - 11570. What is q rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6265 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22389*j + 24739 wrt j.\nAnswer: 22389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**30\/w)\/(w*w**13\/w)*(w*(w**45\/w)\/w)\/w*w\/w**24 assuming w is positive.\nAnswer: w**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 246 (b) 7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 + (-168)\/(-27). Let a = -5 + j. Let t be (6 - 0)\/(-3 + 5). What is the highest common factor of t and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6516508.3 to the nearest ten thousand.\nAnswer: 6520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*2*3\/12. Suppose 2*f = 5*h + 3*f - 21, -y*f = -4*h + 32. Solve -2*i - 9 = -h*i, -4*i = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4*1 - 1400\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1335448 divided by -2\nAnswer: 667724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1033604 and -8?\nAnswer: 1033604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 581022759.\nAnswer: 581022758.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1133727803?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 15*d**2 + 14*d + 19. Let b be s(-6). Let n = -255 + b. Solve o = -2 + n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {d: 1, a: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 69\/(((-35)\/(-133))\/1). Let g = d + -1282\/5. What is the common denominator of g and 81\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {d: 3, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -23*d - 33*d + 50*d. Let f(k) = 43*k. Determine f(g(t)).\nAnswer: -258*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 707 + -51241?\nAnswer: -50534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 3*o + 0*o + (-227 + 454 - 90*o - 228)*(-4 + 0 + 0)*(-3 + 1 + 3) to the form u*o + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34154, -35097, -36074, -37079, -38106, -39149, -40202, -41259?\nAnswer: -42314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10832 divided by 4?\nAnswer: -2708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n - 1. Let d be l(-7). Let t be (26\/18)\/(2\/(-120)). Let m = t - d. Find the common denominator of -37\/9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-13))\/(417\/5421).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417822 to the power of 1\/2, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmmgggmggmgggggmmg. What is prob of picking 2 g?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, 97, 427, 1065, 2113, 3673?\nAnswer: 5847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181632806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.7 - 6. Let x = 112.6 + -113. Sort -5, c, x in ascending order.\nAnswer: -5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7973360 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.2. Let b = 1.2 - h. Let j = 231\/4 + -58. What is the biggest value in -2, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8*d**2 - 20*d + 47. What is p(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/7)*r*r*r*r**(-15)*r*r*r)**48)**(-3\/37) assuming r is positive.\nAnswer: r**(9504\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507462 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*0.077.\nAnswer: -1.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:23 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 0 - 16\/5*y - 12\/5*y**2 - 2\/5*y**3 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7489*q + 7518*q - 145 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**3 - 8*c**2 + 8*c + 6. Let t(x) = 9*x**3 + 7*x**2 - 7*x - 5. Give -6*t(m) - 5*v(m).\nAnswer: -14*m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q - 2*b, 5*q + 13*b = 14*b + 21. Solve -2*d + 8 = -3*u, 12 - 36 = 2*d + q*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18286*v - 5 + 1 + 36588*v - 18256*v.\nAnswer: 46*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 8, f: 1, a: 1, c: 2, r: 2}. Give prob of sequence mm.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1053.53 - -4400.\nAnswer: 3346.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhqhhqqq. Give prob of picking 3 q.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.06 - -0.06. Let p be (-43)\/(1505\/150) - 4\/(-14). What is the biggest value in y, 1, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 4, s: 1, n: 7, u: 4}. Give prob of picking 1 n and 1 u.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -229 + -1?\nAnswer: -22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 19755?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 6\/5*y**2 + 444\/5*y.\nAnswer: -6*y*(y - 74)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003902074 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 805, 8186, 28313, 67558, 132293?\n\"Answer: 1062*d**3 + d**2 - 56*d - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -28. Sort 4\/3, -1, w.\nAnswer: w, -1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -56077*u**2 + 19*u - 104. Let d be h(24). What is d rounded to the nearest 1000000?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 2:42 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 690 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23217106 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24262026 is divided by 4043642?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/5))**46*((b**(-1)\/b)\/b)**(-43) assuming b is positive.\nAnswer: b**(967\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 7*w - 4. Let h be m(6). Suppose -3*n - 4*i + 242 = -887, -h*n + 4*i + 766 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 9:19 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 453, -27, 3 in descending order.\nAnswer: 453, 16, 3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004390965 rounded to seven dps?\nAnswer: -0.0004391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - 50?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.9*-0.7568.\nAnswer: -5.97872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(-9)*(-18)\/15. Suppose 0*a - 2*a = u - 4, c*a + 52 = 4*u. What is the remainder when 29 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 13. Let z be 3\/15 + (-11)\/k. Let y be (1 - z) + (-2)\/2. Calculate the highest common factor of 22 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k = d + 8, 0 = 4*k + d - 6. Suppose 0 = -k*z + s - 39, 0 = 2*z + 2*z + 4*s + 60. What are the prime factors of (-4)\/z - 97\/(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9271*d**3 + 11619 wrt d?\nAnswer: -27813*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 26*p**2 - 95*p + 701. Let h be b(8). Is 1606 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 5*w + 8. Let b(z) = 2*z**3 - 4*z - 9. Calculate -5*b(n) - 4*c(n).\nAnswer: -2*n**3 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 1 - 1)*(-2 - 3 - 6)*(0*k + 0*k - 2*k**2)*(-3*k + 5*k - k).\nAnswer: -44*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by (((-8)\/4)\/2)\/(5\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121001910 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 7*d**2 + d - 5. Let o be w(7). Suppose 0 = -5*y - 10, -16 = -4*k - 0*k + 4*y. Solve -o*g - 4 = -k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 1 + 9 + 4*y + 0*y**2. Let h be r(8). What is the units digit of (-18)\/4*16\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/(-8))\/(7\/938)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 2*v - 112. Let r be (63\/v)\/((-1)\/(-2)). Solve -j - 2*j = -r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i + 35. Let c be y(0). Let s = 4 - c. Let n = s + 60. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/9)*n**31 assuming n is positive.\nAnswer: n**(280\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2702*u + 607 = -2625*u - 1857 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -i - 10, 0 = -5*j - 14 - 1. Sort 10, i, -1.\nAnswer: i, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.1, -1\/3, -0.16, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30718 + 22139. Do w and -8578 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 497*u**2 + 79*u - 17. Is p(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 14. Let f be o(12). Suppose -f = -d + 2. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h. Let m be y(-1). Let v be 6 + (-4)\/m + 0. Let l = v + 1. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -12 - -13) + 10 + -21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgc when three letters picked without replacement from {n: 2, v: 1, d: 1, o: 1, c: 3, g: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 6*u**2 + 32 + 2*u**2 - 4*u - 25 in the form m*u**2 + j + y*u and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 861299998 to the nearest integer?\nAnswer: 29348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Let t = 4.1 + -4. Let o = t + -0.3. Which is the biggest value? (a) o (b) 1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1354719*w**2 - 4*w + 4*w - 2709632*w**2 + 1354918*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*v. Suppose 20 = -v*f + 7*f. Which is the closest to 0.1? (a) 3 (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(((-4)\/(-6))\/(12\/(-18))). Which is the third biggest value? (a) -4 (b) r (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34422 divided by 47?\nAnswer: -34422\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34.078 + -34. Let m = 1945.922 + -1949. Let y = m + q. Is y less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 10 - 39 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1667 is divided by 120.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 1)*(-4*u**4 + 0*u**4 + 3*u**4) + (3 - 3 + 1)*(-9*u**4 - 3*u**4 - 4*u**4) to the form m*u**3 + h*u**4 + y*u**2 + r + s*u and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 5*f**2 - 4*f**2.\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 451173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 70*1*(-7)\/2*249\/1743\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-11\/5)*(f*f*f**(-10\/7)*f)\/f*(f\/f**(-4))**5 assuming f is positive.\nAnswer: f**(853\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**4\/6 - d**3 + 26*d - 100. Let t(z) be the first derivative of i(z). Factor t(g).\nAnswer: -2*g*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(5\/(-6)) - -1. Let t be (-3)\/x*(-5)\/(-5). Let b = 18\/11 + -148\/77. Put b, 1, t in descending order.\nAnswer: 1, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 15, 37, 67, 105, 151, 205?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 - 207 = 5*x. Let c(z) = z + 13. What is c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.23 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n**2 + 59*n**3 - 11*n**2 - 58*n**3. Let w(l) = -6*l**3 + 5*l**2 + 7*l - 6. Let q(c) = -5*r(c) - w(c). What is q(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (29\/(-7) + 4)*2\/1. What is the third biggest value in 2\/13, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 1, 12, 27, 46?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150.26 - 1.26. Let i = -149.2 + n. Let r = 10 - 19. What is the second biggest value in i, r, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16867 + 16867. Which is the closest to 358? (a) 4\/3 (b) p (c) -4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135\/977 - -13877\/12701. Let h = 24350\/39611 + 2\/3047. Factor -10\/13*r**4 + 0*r - h*r**2 - w*r**3 + 0 - 2\/13*r**5.\nAnswer: -2*r**2*(r + 1)*(r + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 w when three letters picked without replacement from {p: 5, w: 4, t: 1, e: 3, f: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 18, 43, 100, 201, 358, 583?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*r + 14044 - 9381 - 20975 = 4345 for r.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/11, -5, -2, 5 in ascending order.\nAnswer: -5, -2, 15\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -899.9 + 53.1. Let b = m - -1077. Round b to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*1*18\/((-918)\/51)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -241 + 537. Is q a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.4613942nm?\nAnswer: 0.0000000004613942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 4*z**3 - 2*z**3)*((z - z + z)*(5 - 1 - 3) - 15*z + 6*z + 7*z).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -43*920\/320436*(-42)\/(-10)\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188149 is divided by 157?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53913281 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 - f. Let j be k(1). Let d be 1\/(j\/3)*3. Let i(b) = -2*b**3 + 4*b + 5*b**d + 3 + 2*b**2 - 2*b**3. Calculate i(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -2, 5, -5, -12, 1504 in decreasing order.\nAnswer: 1504, 31, 5, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 15. Let n be ((-12)\/14)\/(176 - 174). Which is the closest to -1? (a) -1\/20 (b) j (c) -4\/5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a - 464. Let j(i) = -i - 93. Calculate -11*j(u) + 2*q(u).\nAnswer: -u + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4 - 26*w**3 - 206*w**2 + 482*w - 252 = 0. What is w?\nAnswer: -7, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f - 19. Let g be q(2). Suppose -5*i + g + 5 = 0. Solve -3*d - i = 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 16*y + 4. Let i be l(-16). Find the second derivative of h + 5*h + 6*h**i - 10*h wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/138 + -697\/966. Is t at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 1, 3, -0.1, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 14*u + 14 - 252 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35620 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -107 + -5 + 52 - -12\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -80952, -326503, -735748, -1308681, -2045296, -2945587, -4009548?\n\"Answer: x**3 - 81853*x**2 + x + 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 205*w**2 - 417*w + 3. Calculate b(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-6)\/(-27) + 3126\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 2*q**2 - q**4 + (-2*q**4 + q**4 - q**4)*(-5 - 3 + 5).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-49))\/(12\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 1. Let c be r(2). Let h(w) = -w**2 + 5*w - 2. Let a be h(c). Solve -13 = 5*i + o + 16, a*i - 4*o = -4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391053637 to the power of 1\/2, to the nearest integer?\nAnswer: 37297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-2)\/9*-3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57603*a - a**2 + 10699*a - 4815*a - 1 + a**2 + a**2.\nAnswer: a**2 - 51719*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/w**1)))\/((w**(-2)*w)\/w))\/(w\/(w\/w**(-1)*w))**(-1\/31))\/((w*(w\/w**1)\/w*w*w)**(1\/6)*(w*(w*w**(1\/2))\/w)**(-10)) assuming w is positive.\nAnswer: w**(1544\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilogram in grams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -168\/12665 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (895\/(-15))\/(5\/(-30)). Let g = 479 - h. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 3 - 1. Let w be (1\/2)\/(p\/(-10)). Suppose -k = -1, w*t - 8 = -k + 3*k. Solve -2 = -t*n - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 52*a + 7783. Determine t(118).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 7*s**2 + 6*s + 1. Let l be n(-8). Suppose -2*a + 57 = j, 52 + l = j - a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 23. Let x be (-6)\/s + 48\/(-28). Let g be x - (-1)\/((-4)\/(-12)). Which is greater: g or -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - v + 204 = -4*v, -4*v - 20 = 0. Suppose -9 = -3*c, -2*c = 2*k - 3*c - f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxxxxxxoxxxoxxx. What is prob of picking 1 o and 1 x?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 770 or 914?\nAnswer: 770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 438.433993 to 1 dp.\nAnswer: 438.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 4*r + 2. Suppose 2*y = 3*y. Suppose y = 4*w - 5*w + 5. Give o(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 151*p**2 + 164*p + 2093. Give d(-150).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/9))\/(q\/q**(-2\/23)))\/(q**(-2\/11)\/(q*(q\/(q\/q**5))\/q))*q**5*q**4*q*((q\/((q*q**(-3)*q)\/q*q))\/q)\/(q**0\/q) assuming q is positive.\nAnswer: q**(39178\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.9. Let t = -109 + 112. Let j = 4 + -6. Which is the nearest to j? (a) t (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*18\/(-4)*(-34)\/11220*-11.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5826 + -5808. Let a(v) = -v**3 + 20*v**2 - 37*v + 24. Give a(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 155 and 111631.\nAnswer: 558155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 1. Let q(r) = 8*r - 3. Let p(j) = -4*a(j) - q(j). Differentiate p(w) with respect to w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -420 + 416. Which is the second biggest value? (a) y (b) 1\/6 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -65. Let x = 56 - h. Suppose 0 = x*g - 3*g - 18. Calculate the remainder when 35 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 32. Suppose -n*d + 52 = 8. Suppose -13*j = -15 - d. Solve -2 = p - j*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 71\/4 of a tonne?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 39. Let s(n) = -n - 4. Let d(f) = 1. Let k(w) = 6*d(w) + s(w). What are the prime factors of k(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4230875 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(1 + (-9)\/10). Suppose -f = 5*w - 0*w. What is the units digit of (-2)\/w*2685\/10 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + -2*sqrt(84))*-2 - sqrt(84) - 1*sqrt(84)*-1)\/(sqrt(24)\/(5*sqrt(242)))*-1.\nAnswer: -110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -26, -4 in increasing order.\nAnswer: -26, -16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v - 4*v - 7*v + 79 - 6*v + 17*v.\nAnswer: -13*v + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2133461, 4267058, 6400657, 8534258?\nAnswer: 10667861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 20 + 28. Let t = -9 + d. Suppose 335 = t*b - 3*b - 5*v, 0 = 3*b - 5*v - 250. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 21914641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) - (sqrt(847)*1 + 5)) + -3 + sqrt(847) + -1 + -3)*-6)**2.\nAnswer: -9504*sqrt(7) + 35676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*l - 2 = 52*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 10:20 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, -2\/5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28 - -1040?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -841*d**3 - 402926*d**2 - 48260809*d.\nAnswer: -d*(29*d + 6947)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106093790.208699159 + 106093790. Let i = d + -15.791299961. Let v = i - -16. Round v to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67341371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113 + 130. Suppose -m*h + 105 + 133 = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 69*h = 65 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -4294 - 550. What are the prime factors of t?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = 1 - 1009. Suppose 167*x - 171*x = -s. Let z(c) = 13*c**2 + 2*c - 2. Let f be z(-4). What is the highest common factor of f and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (14 - 7 - 29)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -50. Let f be i\/(-6) + (-565)\/(-30). Calculate the greatest common factor of 76 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45856*u**3 + u**2 - 3*u - 9267 wrt u?\nAnswer: -275136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52972350\/85 - 2\/17. Suppose g - 3903204 = -4*y. Round y to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265780 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -36\/17*b + 0 + 8\/17*b**3 + 2\/17*b**4 - 30\/17*b**2 = 0.\nAnswer: -6, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 65 + (1540 - 1664)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 2.1, 2, -16 in ascending order.\nAnswer: -16, 3\/2, 2, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 7*s**2 - 23*s + 60. Give c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151686 by -6.\nAnswer: 25281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*q = -3817 + 11154 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8616.573us in hours?\nAnswer: 0.0000023934925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 4 + 4. Let y(z) be the third derivative of 0 - 3*z - 2\/3*z**3 - 19*z**2 + 1\/8*z**4. Give b(y(f)).\nAnswer: 6*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -679 + 114. Let v = -565 - o. Let z = 0.05 - 0.25. Which is the nearest to z? (a) -2 (b) v (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 5, q: 8, r: 3, f: 3}. Give prob of picking 2 p.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(130) + 3*sqrt(130) + sqrt(130))*2)\/((sqrt(120) + -4*(sqrt(120)*-3 - sqrt(120)) + sqrt(120))\/sqrt(12))*5)**2.\nAnswer: 8125\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1981 and 185648?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 313, 21, 0, 4, -4.\nAnswer: -4, 0, 4, 12, 21, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 85*i**3 - 41*i**2 + 75*i - 234. Let z be p(-46). Round z to the nearest 100000.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4 - 107659*d**3 - 10*d**2 + 25378*d + 1?\nAnswer: 48*d - 645954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-9))\/(5\/(30\/(-4))). Calculate the remainder when 14 is divided by 4 + v\/(-22) + (-12)\/(-66).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t**2 - 1. Let n be -2*(-1 - (-2)\/4). Suppose 0 = 2*r + 6*g - 3*g - 24, -3*r - 2 = -5*g. Calculate the smallest common multiple of i(n) and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 7*z**2 - 7*z - 1. Suppose 0*o - 2*o - 3*k = 13, -5*o - 2*k = 27. Let p be v(o). Let f = 39 + p. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 680532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**3 - v**2 + 1. Let f be r(-1). Let p(s) = -3*s**2 + 3*s - 2. Let n = 3022 + -3019. Let i(m) = 6*m**2 - 7*m + 5. Determine f*p(z) + n*i(z).\nAnswer: -3*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19133746*n + 25395394 wrt n.\nAnswer: -19133746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51077*g**3*t**2 - 336*g*t**3 - 88*t**3 - 2*t**2 + 97*t - 1063 wrt g.\nAnswer: -153231*g**2*t**2 - 336*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22831 and 827683?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 129375265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t + 19. Calculate h(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68983?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -26*f**2 - 78*f + 111. Give p(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1525 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**13)*x**(-1)*x*(x*x*x\/x**3)\/x**11 assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3) + -7 - 0. Let o be (-149)\/s - (-2)\/(-7). Suppose 2*x - 63 = -4*i + 3*x, i = -5*x + o. Calculate the lowest common multiple of i and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 2*u**3 - 21*u**2\/2 - 4524*u. Give m(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 412640 divided by -5.\nAnswer: -82528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 + s**4 - 13*s**3\/6 + s**2 - s. Let p be t(-13). Solve -p*k - 3*k = -5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21125.26 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 3*a - 7*a + 11 + 2*a.\nAnswer: 2*a + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -308794630*b**2*x**3 - 703*b**2*x**2 + 19*b**2 + 2*b + 649*x**2 wrt x.\nAnswer: -1852767780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444552110?\nAnswer: 2, 5, 347, 128113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 3675 - 825. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 - r + 2*r - 2 + 0 - 3*r**3. What are the prime factors of t(-2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 2*y - 2. Let p(j) = -5*j + 15. Let r be p(3). Suppose r*v - 3*v = -9, k + 2*v - 2 = 0. Let b(t) = 2*t**2 - 2*t - 3. Give k*b(x) + 5*g(x).\nAnswer: 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z - z**2 - 58 - 3*z - 2*z. Let r be l(-19). Let g be -10 + 11 - 10\/r. Solve 2*v = g - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17274474247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 38\/10 - 3\/(-15). Suppose 7 = -t*k + 55. Solve k = -2*r + 6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:08 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*o - 18, -2*p - 2*o - 9 = -p. Let a be 2\/4 + p\/6. Suppose 2*f - 4 - 42 = a. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 43 = 8*g + 62 + 48, -g - 2*m = 34 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 167, 293, 421, 551, 683?\n\"Answer: o**2 + 121*o - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, -0.15, 0, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47483532 divided by -3?\nAnswer: -15827844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 24 + 7*m**2 - 12*m**2.\nAnswer: 6*m**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*v - 117*v + 34326 - 166464. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4226 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 12:50 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/(-50)*(-357)\/(-306)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/7)\/p*p)\/(p**(-3)*p*p))\/(p**(1\/10)*p*(p**(8\/5)*p)\/p*p) assuming p is positive.\nAnswer: p**(-149\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - d)*(0*d - d + 0*d)*(-5 + 1 + 3)*(-5*d - 9*d - 6*d).\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182441 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/4)\/v**(-3)*v**9*v**(-1\/7)\/v*v assuming v is positive.\nAnswer: v**(339\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1279 + 25*d + 24*d - 2*d**2 + 16*d - 92*d - d**4 + 26*d - d**3 to n*d**4 + t*d**2 + b*d**3 + k*d + w and give w.\nAnswer: -1279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 1\/16 (c) -182.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 10:29 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - 151767?\nAnswer: -151734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s - 58. Let d be v(-7). Suppose -d*p + 368 = 128. Calculate the remainder when 197 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.3876 and -441.\nAnswer: -1493.9316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191 + -381\/2. Let z(n) be the second derivative of 0*n**2 + 6*n + y*n**3 + 9\/20*n**5 + 0 - 2\/7*n**7 + 5\/4*n**4 - 1\/2*n**6. Suppose z(k) = 0. What is k?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 10*d**2 + 6*d - 6. Is a(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23\/(575\/15)*(-10)\/(-1). Solve -b = 39*s - 45*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.92269ms in nanoseconds?\nAnswer: 19922690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*n + 45*n + 54 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5 or -45?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-238) + ((-300)\/14)\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261757207 to the power of 1\/2, to the nearest integer?\nAnswer: 35521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**3 + 0*s**3 + 96*s**3 + (-s**2 - s**2 + s**2)*(8 - 5*s - 8) + 7*s**3 + 16*s**3 - 22*s**3.\nAnswer: 96*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + 3*h**2 - 3*h**2 + (0*h**3 + 2*h**3 + 0*h**3)*(0*h**2 - h**2 + 2*h**2) + (-h**3 - h**4 + h**3)*(2 - 9*h - 2).\nAnswer: 13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91853.49 tonnes in kilograms?\nAnswer: 91853490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 3. Suppose 35 = 4*c + 23. Suppose -5*q = 7*a - 3*a, c*q - 12 = 0. Determine y(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 - 58 - 9 - 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9532518?\nAnswer: 2, 3, 1588753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Which is the closest to -1\/4? (a) h (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 12*p - 45. Suppose -h + p*h = -5*s + 7, 2*s = -2*h + 2. What is the closest to -0.1 in -0.1, -2, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7593\/8 + 954. Find the common denominator of 49 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**8\/13440 - d**7\/1680 + d**5\/60 - d**4\/4 + 4*d**2. Let b(w) be the second derivative of m(w). Find q, given that b(q) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2625288064.\nAnswer: 2, 7, 19, 154211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -4 (c) -2\/117 (d) 0.3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(4)*1)\/sqrt(112).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5739852 by 2869926.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((((d\/(d*(d\/d**(-1\/13))\/d)*d)\/d)\/d)\/d*d))\/(d**(-3)\/d))**6 assuming d is positive.\nAnswer: d**(474\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 453, 1466, 3147, 5496, 8513, 12198, 16551?\n\"Answer: 334*m**2 + 11*m + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 84.5 + -1.6\nAnswer: 82.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(-5)))*(j**(-2\/3)*j)\/j)\/(j**(1\/7)\/j**(-2\/53)) assuming j is positive.\nAnswer: j**(-5395\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762166 is divided by 69287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -485*i**3 - 8*i**2 + 33569*i?\nAnswer: -2910*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -410*h + 410*h - 42*h**2 + (-282 + 282 - 25*h)*(h - 3*h + 3*h).\nAnswer: -67*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 119 = -31*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 2 - (-348 - -321) - -21?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 - ((19 - -1) + -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Suppose -4*n - 20 = -4*u, -6*n = t*u - n + 4. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35641464 and 15067936.\nAnswer: 1853356128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + n - 1. Let b(v) = -14*v + 12*v + 5 - 3 + 0 + 6*v**2. What is b(r) + 2*w(r)?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*y - n - 32, 0 = 5*y - 5*n + 30 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.75304 less than -0.007?\nAnswer: 3.74604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -542*p - 10096. Give k(-17).\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17c8 (base 13) to base 8\nAnswer: 6730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3235\/11 - -294. Which is the biggest value? (a) i (b) -1\/6 (c) -3\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*v - 55 = 0, 0 = -6*v - v + 13867 - 13832 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -22*a + 683. Is k(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -4*r**2 + 0*r + 0 + 2\/9*r**3 - 1\/180*r**5 + 1\/360*r**6 - 1\/18*r**4. Suppose x(t) = 0. What is t?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*j = -7*j - 305 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 3)\/(1\/2). Suppose -4*d = k*b + 2756, 4*d - 3789 = 4*b - 1025. Round b to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 - 24*n**2 - 3*n - 4. Give l(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x. Let s(q) = 0 - 106*q**2 + 45*q**2 + 3 + 54*q**2. Give s(i(y)).\nAnswer: -28*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 7 - (-4 - -10 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -0.09 (b) 0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/7 and 10\/(-5) - ((-88)\/210 + -2).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7 - h + 2 + 0*h. Let w be v(-7). Suppose w*i - 92 = -18. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14793? (a) 5 (b) -6\/5 (c) 1\/2 (d) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 35. Let v = -22.2 + r. What is v rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100699213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5 + 74*o**4 + 17978*o**3 - 990578*o**2 + 6875880*o - 5903352 = 0. Calculate o.\nAnswer: -102, 1, 7, 53, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 3*b + 1. Suppose 4*p + 4 = 8*p. Let a be 0*p*5\/(-10). Let x be l(a). Put 0.3, x, -5 in descending order.\nAnswer: x, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + (8 - 12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 107\/10, -0.1 in ascending order.\nAnswer: -5, -0.1, 0, 107\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 7968?\nAnswer: 7982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000544738281 to seven dps.\nAnswer: -0.0000545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1098900621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 12?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70548 is divided by 425.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + a**2 - 4*a**2)*(3*a - 2*a - 1 - 2*a) - 4*a**3 - 9*a**3 + 2*a**3.\nAnswer: -13*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 639349786 to the power of 1\/2, to the nearest integer?\nAnswer: 25285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 810798682 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 9\/3 - (-745)\/(-15). Which is bigger: -54 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/1200*10)\/(583\/(-154) - (-14)\/49)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26202 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)\/(n\/(n\/(n*n**(3\/4)))*n*n))\/((n*n**0*n*n)\/n)**(1\/46) assuming n is positive.\nAnswer: n**(-863\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**0\/c))**(-1\/29)\/((c**(-2)*c)\/c*c**(-2\/17))*(c\/(c\/(c*c**(1\/3))))**(1\/13)\/((c\/c**(-5))\/(c**(1\/9)*c)) assuming c is positive.\nAnswer: c**(-157910\/57681)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 9*n + 22. Let g be z(4). Which is the fourth biggest value? (a) 17 (b) 0.1 (c) -8 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 43*r = 39*r + 52, 2*r + 34 = 5*l. Let k = 4 + -3. Let v(t) = -5*t - l*t + k - 12. Let p(f) = -6*f - 5. Determine -9*p(o) + 4*v(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o = 6. Is 9 a factor of (o - 2) + -1 + 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 72 = -i, 0*x = -2*i - 4*x + 134. Calculate the least common multiple of i and 24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1641 - 1649. Let h(t) = 2*t + 4. Calculate h(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525897739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 1151 + -1151.4. What is the second biggest value in -0.2, -3\/17, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19556*z**3 + 0*z - 207*z**2 - z + 19035*z**3 wrt z?\nAnswer: -3126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 4*a + 6. Let q be j(6). Let n = q + -34. What is the smallest common multiple of 22 and n?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1546\/7 + 224. Let n = 95\/28 - o. Which is the closest to n? (a) 1\/8 (b) -0.2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40531\/9 - 4499. Let t = -218\/45 + p. Let z = 24 - 25. Which is bigger: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 2210112332313?\nAnswer: 2210112332221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 1. Let u(x) = x**2 + x + 8. Let k be u(i). What is the highest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 390 - 2*d - 9*d - 204 - 198. Let m(u) = -5*u - 6. Determine 2*k(g) - 5*m(g).\nAnswer: 3*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 5*b**2 + b**2)*(2 - 3 - 1)*(0 - 1 + 0).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -16*p + 17*p. Suppose 4*v - 3 = -5*h + 11, -v + p = 2*h. Let s(j) = -10*j**3 + j**2 - j. What is s(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 11*y**2 - 9*y + 13. Let u be k(-12). Let f = u - -35. What are the prime factors of (78\/f)\/(2\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -6.9. Let y = -2.988 - 0.112. Which is smaller: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349\/158 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 304 = -12*c. What is the remainder when 263 is divided by c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179186658?\nAnswer: 2, 3, 7, 59, 167, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55 or -4.01?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 36*r - 14. Give c(15).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 4*q**2 - q + 3. Let h be g(5). Let m = 42 + h. Calculate the remainder when 20 is divided by (-6)\/(-15) - (-99)\/m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -8. Let b(d) = -17*d - 20*d**2 - 29 + 24 - d**3 + p*d**2. List the prime factors of b(-12).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 2)*(-3 + 3 + 5*s + (-1 + 5 - 3)*(0*s - 3*s + 2*s) + (0 + 0 - 2)*(0*s + s - 2*s) - 2 - s + 2).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 17*m - 87. Let j be r(21). Let b(z) = 12*z**2 - z - 12. Let c be b(j). What is 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 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 - 14*i + 2*i**2 + 14*i.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from bwlbvbglbwgl.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 9*n**2 - 5*n - 6. What is y(10)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/8 - (-165)\/312. What is the nearest to 0.1 in -3\/8, 0.6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/752*(-32)\/(-12))\/((-14)\/42).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14394 divided by 454\nAnswer: 7197\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 757686*6\nAnswer: 4546116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -164? (a) 0 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 7:44 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 85 = 4*p - 5*w, -9 = -3*p + 3*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -11992 = -12029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 6*x = 1314. Let s(t) = -x*t**2 - 4*t - 224*t**2 + 444*t**2 + 1. Give s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/161540224 and -107\/8510.\nAnswer: 807701120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 108 = 2*y. Let o be y\/(-5) + (-4)\/(-10). Solve 3*n + o*m - 16 = -0, 2*n + 3*m = 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 27 - 0. Suppose i*q = 5*q + 60. Which is smaller: 14 or q?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(1\/3))\/n*n)**(12\/7)\/((n**(-9)\/n)\/n**(1\/11)) assuming n is positive.\nAnswer: n**(865\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 + -10?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 10410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 + 655*n**4 + 171610*n**3 + 22480910*n**2 + 1472499605*n + 38579489651.\nAnswer: (n + 131)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 136 = 3*l. Calculate the highest common factor of 210 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 9 + 3. Suppose -x - n = -3*x. What is the remainder when x is divided by (-6 + 8)\/(1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 10 = x, 310*x + 40 = -2*o + 314*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440309 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: Let w(h) be the second derivative of -5*h**4\/12 + h. Let b = -50 + 50. Let i(a) = -7*a**2 + b*a**2 + 12*a**2. Calculate i(w(m)).\nAnswer: 125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 384*b - 6. Let m(x) = -9*x**2. Determine a(m(y)).\nAnswer: -3456*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 5)*(-280)\/42. Suppose -455*w = -445*w - h. Solve 3*v + w*a = v + 10, v = -a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.074 and 5996283.\nAnswer: -443724.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 3*v + 330 = 0, -k = 2*v - 110. Let d = 177 - k. What is the remainder when d is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10984 - -44375\/4. Let j = -307\/3 + i. Find the common denominator of j and ((-158)\/246)\/(4\/3*102\/(-204)).\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -6. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**3 - 37 + 37 + 0*i**2 + 0*i**2 - i**3 + i**3 + 0 + 0 + (2*i**2 - 2*i**2 - 2*i**2)*(2*i - 5*i + 2*i) - 2*i**3 - i**3 + 4*i**3)*(3*i**2 + i - i).\nAnswer: 33*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**3 - 13*l**2 - 13*l + 15. Let m(q) = 3*q**3 + 6*q**2 + 6*q - 7. Let a(t) = -13*m(t) - 6*r(t). Is a(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - 0) + (2 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 0*s**5 + 1\/70*s**7 + 0*s**3 + 0*s**6 + 0*s + 2*s**2 + 0 + 1\/24*s**4. Find the second derivative of g(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15839*-0.01.\nAnswer: -158.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 104*p**2. Let c(o) = -2*o**2 + 3232 - 3232 - 2*o**2. What is c(u(t))?\nAnswer: -43264*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3610 is divided by 1200?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 297, -1\/5, 2\/23, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 5*d**2 + 200 - 200 + 6*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18488 rounded to the nearest 100?\nAnswer: 18500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-365)\/20 - -3 - (7 - 17)\/10?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 5*f - 2. Let y be m(7). Suppose 5*v - q - 3 = 6*v, -y = -v + 2*q. Let i(o) = -o - v*o + 2*o. Let z(t) = -t. Give z(i(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-51)\/136)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 534 + -502. What is the smallest common multiple of 1364 and n?\nAnswer: 10912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.909 + 42.87. Let g = t + 0.039. Let n be 6\/21 + 0 - 0. Which is the biggest value? (a) 4\/7 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -991*p**3\/3 + 163*p**2\/2 - 317*p. Is j(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 527 and 2356.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1140*t. Let h(j) be the third derivative of j**4\/12 - 1235*j**2. Calculate h(l(n)).\nAnswer: -2280*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 132*x + 0*x**4 + 11\/6*x**3 + 0 - 1\/6*x**7 + 9\/2*x**2 + 0*x**6 - 1\/5*x**5. What is the second derivative of k(c) wrt c?\nAnswer: -140*c**3 - 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = q - 6*f - 13, q + 5 = -f. Let a be 3 - 4\/(q + 0). Solve 5*o + 1 = a*g + 6, 25 = 5*o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 180*a**3 + a**2 - 247*a**3 + 50*a**3.\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 23, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1666339.\nAnswer: 1666339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 21 = 3*k, 0*g + 2*k = 4*g + 70. Let z = 2940 - 2939. Suppose q - 2*q = 3*w - 16, -4*q + 5*w = 4. Put g, q, 2, z in decreasing order.\nAnswer: q, 2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174 + -596. Let r = 428 + d. Suppose -3*i = -2*n + 5*n - 24, 17 = -i + 4*n. Solve 6 = i*m - r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 e when four letters picked without replacement from {f: 3, e: 1, v: 4, m: 5}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.07 - -10.99. Let j = c - 20. Let b = j + -1.06. Put 4, 0.3, b in ascending order.\nAnswer: b, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by 48?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14337 and 36285.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38992 and 112?\nAnswer: 272944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f. Let w(v) = -2*v**2 - v + 1. Suppose -5 = 4*k + 5*s, 3 = -3*k - s + 2. Suppose k = -3*r + 6*r + 9. Calculate r*i(n) - 2*w(n).\nAnswer: n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404480.\nAnswer: 2, 3, 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**8\/v*v\/((v**(-1\/16)\/v)\/v*v) assuming v is positive.\nAnswer: v**(145\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 - q + 0*q**4 + 45*q**4 + 38*q**4 - q wrt q?\nAnswer: 996*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57447628 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1626)\/(-1084))\/(3\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 2*b**2 - b - 1. Let v be p(2). Let x be v\/9 - (-32)\/6. Let d = 2073 - 2063. Solve 2*a - 1 = -3*i, x*i + 1 = 3*a - d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1295\nAnswer: 2590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**8\/168 - 5*p**7\/21 - 2*p**6\/5 + 2*p**2 - 287. Factor k(n).\nAnswer: -2*n**3*(n + 1)*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 47 + 22*c**2 + 29 - 60*c**2.\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76691.89t in micrograms?\nAnswer: 76691890000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:58 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49590699 to the power of 1\/2, to the nearest integer?\nAnswer: 7042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 4*q**2 + q + 3. Let j(i) = -i**3 + 8*i**2 + 2*i + 5. Let r be (840\/4)\/(3 - 1). Let s be 20\/(-6)*r\/70*-1. Determine s*w(x) - 3*j(x).\nAnswer: -2*x**3 - 4*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18622505?\nAnswer: 5, 11, 30781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 - -0.17. Put -4, -3, l in descending order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2585)\/(-3619))\/(5\/(-42))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.384 - -0.90261. Let a = -0.086 + 0.606. Let t = a - u. What is t rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 26*b + 0*b to the form t + y*b and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*v - 344 = 2*v. Suppose -16 = 3*d - 4. Sort d, -9, v.\nAnswer: -9, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*l + 10 = 717*l, 5*o + 72 = -l for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -101010100001011?\nAnswer: -101010100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334859.\nAnswer: 7, 47837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007297 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 7:43 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**3 + 5*l**2.\nAnswer: 5*l**2*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(6)\/sqrt(2)) - (5 + -1*sqrt(28)) - (-6*(sqrt(56)\/sqrt(2) + sqrt(28)) + 3*sqrt(252)).\nAnswer: -5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 6 = -2*s - 4*f, 2*s - 2*f - 8 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -2) + 5 + (-19 - -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**5 - 3*q**4 + q**3 + 4812*q**2 + 23390041*q.\nAnswer: 60*q**3 - 36*q**2 + 6*q + 9624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/3 - 6049*q**3\/6 - 105449*q**2\/6 - 102304*q - 198462 = 0 for q.\nAnswer: -3007, -6, -11\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(1\/7)*g\/(g**(5\/2)\/g) assuming g is positive.\nAnswer: g**(5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 409, 3192, 10751, 25474, 49749, 85964, 136507?\n\"Answer: 398*v**3 - 3*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7891, 15534, 23177?\nAnswer: 30820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -58874.\nAnswer: 176622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -28?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 2*k**3 + k**4 - 17*k**4 + 14*k**4 + 2 in the form q*k**2 + r + j*k + z*k**3 + i*k**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/5 - 327*z**3\/5 + 1749*z**2 + 1815*z = 0. What is z?\nAnswer: -1, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 212073*m - 581874 wrt m?\nAnswer: 212073","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:57 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**3\/k*k)*k**(3\/5))\/(k*k\/((k*k*k*k**1*k)\/k)*k*k)**33 assuming k is positive.\nAnswer: k**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/((-2)\/10 + (-21)\/(-30)). What is the greatest common divisor of s and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1217\/(-2))*-2. Let k = z - -13462\/11. Let i = 20\/3 + -23. What is the common denominator of i and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 + 0.166. Let o = d + 20.004. Let j = -19.6 + o. Put 2\/11, 1, j in ascending order.\nAnswer: 2\/11, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.26 - -0.3. Let j = 5.1 - 5. Let u = j - a. Round u to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14, -9, 8, 43, 102, 191, 316, 483?\n\"Answer: p**3 - 2*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 28 + (2 - -37 - (5 - 5)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*(-3 + 6). Let l be (0 + 2 - j)*-1. Suppose 19 + 5 = l*h. Solve -3*y - h = 5*t, -3*t - t = 3*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 6*s = 12. Let g be ((-26)\/39)\/(s\/(-9)). Suppose 3*h + 4*i = g*i - 5, 0 = 5*h + 3*i + 15. Solve z - 5*q + 12 = h, 5*z + 4*q + 6 = 2*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9992 - 4996 - 4996 + 6*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(847)*2 - (sqrt(7) + 0 + -2)) + 1.\nAnswer: -22*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75818?\nAnswer: 2, 167, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -4289 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -9. Let b be 4\/t + (-21)\/(-9). Suppose b*s - 8*s = 3*x, -3*s = 9. Calculate the remainder when 18 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032 is divided by 392?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*b - 45*b + 8*b)*(b - 15*b - 17*b)*(2 - 2 + 2*b**3).\nAnswer: 4402*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5, c: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 39 + 51. Let b(x) = -x**2 + 8*x - 8. Let t be b(c). List the prime factors of (-1072)\/(-20) + t\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 43\/4 of a hour?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -28*q**2 - 7*q. Let t(f) = -19*f**2 - 5*f. Let v(s) = -5*d(s) + 7*t(s). Let w(i) = i**2. What is w(v(m))?\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -299.975 - 0.025. Let x = s + 304. Which is the second biggest value? (a) -4\/7 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhcyccfnchhyyhyh. What is prob of sequence ny?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/12 - u**3\/3 + 9*u. Factor k(o).\nAnswer: -o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89279 or -89280?\nAnswer: -89280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(228)*6*-2)\/(sqrt(12) + sqrt(96)\/sqrt(128) - (sqrt(108)\/(sqrt(45)\/sqrt(5)) - sqrt(12))))**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4787638 or 4787609?\nAnswer: 4787638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*d**2 + 15 - 8 - 7 - 3124*d + 3127*d.\nAnswer: -74*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -35*s**4 - 145*s**3 - 110*s**2 = 0.\nAnswer: -22\/7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -56, -108, -180, -272, -384?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -49)*4\/4. Is ((-5)\/(d\/(-8)))\/(10\/17525) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 910*z**3 + 2*z**2 + 15*z + 20 wrt z?\nAnswer: 5460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 7 + ((18 - (5 + 5)) + -3 - -16)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -241, -5 in descending order.\nAnswer: 21, -5, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.82514009 to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34548 divided by -672\nAnswer: -2879\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 712092312 and 1337?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135589 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - 5*y)*(0 + 2 - 4) + 3 - 3 - y + (y + 2*y - y)*(0 + 3 - 1) - y + 0*y + 0*y + 437*y + 1457*y + 1333*y.\nAnswer: 3231*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 17. Let l(s) = s - 3 - 8 - 5. Let j(x) = -3*l(x) - 2*r(x). What is the tens digit of j(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 4, -101, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 5*h**2 + 12*h + 20. Let s be k(7). Let l(j) be the first derivative of -7\/4*j - j**2 - 1\/12*j**3 - s. Factor l(r).\nAnswer: -(r + 1)*(r + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x + 15. Let u(h) = -2*h**2 + x*h**2 + 6 + h + 7*h - 1. Give u(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-5 + 0 + sqrt(700))*2 - -3*4*(sqrt(700) + 1 + sqrt(700))))**2.\nAnswer: 1040*sqrt(7) + 473204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -233348?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10659 is divided by 344.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*q**2 - 8*q**4 - 12*q + 2*q + 6*q - 2*q**2 + 5*q**6 + 6*q wrt q?\nAnswer: 600*q**3 - 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4 (c) 5\/2 (d) -2663\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 276, 272, 268, 264?\n\"Answer: -4*f + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from cvicccicccvihivcvvvc.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -91 + 131. Suppose 3*p = a - 13. Let m(f) = -f**2 + 11*f + 2. Is 5 a factor of m(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 1, a: 5, t: 1}. What is prob of sequence tu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -94396.163 rounded to the nearest 10?\nAnswer: -94400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-5*(1 + sqrt(1539) + sqrt(1539) + sqrt(1539) + -1) - (sqrt(76)*3 - sqrt(76) - 1*sqrt(2299))) + -1))**2.\nAnswer: 4096*sqrt(19) + 4980752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = a - 18. Is 10\/4*a - -140 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 25*w**2 - 3*w - 3. Is r(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09943514 plus 53?\nAnswer: 53.09943514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1876113?\nAnswer: 3, 208457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*u = -2*u + 11, -g = u - 3. Let v be 2 - (1 + g)\/(-3). Solve -5*x - 17 = a + v*a, x = -3*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 7*n**2 + n + 4. What is the thousands digit of w(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 - u + 2. Let f be d(0). Suppose f*n - 5*v = 69, -v - 4*v + 15 = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(2*a - 6*a + a) + 2 + 3*a - 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1311144?\nAnswer: -1311150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 257.8155mg?\nAnswer: 0.0000002578155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523643203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, -2\/9, 2.\nAnswer: -5, -0.4, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpqqqppqqzzpqppzz. What is prob of sequence zzpp?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**4 - c**3 + 672543*c**2 + 1981851*c + 15 wrt c?\nAnswer: -36*c**2 - 6*c + 1345086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.9 - -7.6. Let l = 11.13 - 0.13. Let j = r - l. Which is the second biggest value? (a) j (b) 3\/5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 6.2. Let b = 5.2 + g. Is b greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 12 - 25 + 79 + 8 + 38*i**3 - 19.\nAnswer: 38*i**3 - i + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(184\/6164)*216\/(-27)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8519?\nAnswer: 7, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -314, -3, 105.\nAnswer: -314, -5, -3, -1, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/931 - -17669\/9310. Let m = 845 + -33771\/40. Let d = m + x. Find the common denominator of 29\/4 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73.865 or -2?\nAnswer: -73.865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4. Let d = 12 - 11.8. Let f = -0.1 - d. Which is the closest to 0.2? (a) f (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + -4*4*((sqrt(60)\/sqrt(3) - sqrt(20))\/sqrt(10))**2*-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 18466692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(1\/4))\/u))\/u)\/(u*((u**(1\/6)*u)\/u)\/u*u)*((u*u**2)\/u*u)**(-2\/55) assuming u is positive.\nAnswer: u**(-1007\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + k**2 + 3*k + 7. Let o be (540\/120)\/(3\/(-2)). Determine f(o).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -408*i**2 - 4*i - 2. Let f be k(5). Let l = 110742 - f. Suppose 2*s - 340964 = -l. What is s rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/18 and -101\/1778.\nAnswer: 16002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*1*9\/(-12). Let r(p) = p**v + 2*p**3 + 31*p**3 + 3*p + 2 - 4*p. Let g be r(1). Calculate the highest common factor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2138197838?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 24 - 1) + 19?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4878366487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19668)\/2682)\/((-4)\/(-3)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 18. Suppose m*s = -5*s - 55. Let j(r) = -r - 2. What is the units digit of j(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*(21 - -3). Let h be (-4)\/(-6) + (-4)\/v. Let x = 5 - h. Calculate the remainder when 7 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 86. Calculate u(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 525976 and 334712?\nAnswer: 3681832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13095*w - 13237*w + 26322*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 83 + (-2 - 10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddddddddbdddd. Give prob of sequence dddd.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {i: 1, w: 1, h: 4, s: 3, m: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41399371 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12))\/((-55)\/(-220)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 14*l**2 - 6*l - 9. Let d(h) = -3*h**3 + 21*h**2 - 9*h - 13. Let g(k) = 5*d(k) - 8*z(k). List the prime factors of g(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -862 + 877. Solve -3*g + 0*g - 3 = 4*t, 4*g - t = m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 213.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-56)\/12 + 3). Let r be (4 - (-80)\/(-25)) + 68\/(-10). Let x(z) = -7*z - 25. Let u(w) = -w - 4. Let g(i) = r*x(i) + 39*u(i). Determine g(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 0*k - 4*j = 0, -3*j + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 29*y**2 - 20*y + 4. Let h(v) = 6*v**3 + 88*v**2 + 59*v - 11. Let z(n) = 4*h(n) + 11*i(n). Let a be z(-16). Solve a = 3*m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/9 + 6448*d**2\/9 - 1010944*d\/9.\nAnswer: -4*d*(d - 1436)*(d - 176)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p - 2. Suppose 13 = -4*u + 5. Put u, -5, p in decreasing order.\nAnswer: p, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69873981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2016 and -19\/315.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001000 (base 2) to base 16.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490 by -124.\nAnswer: 245\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3\/3 + x**2 + 5*x + 1. Let u be b(-4). Sort -4, 4, u, 1.\nAnswer: -4, 1, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 24.4.\nAnswer: 48.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -695.87613 at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/25)\/((-6)\/15). Suppose 14 + y = -4*m. Let j(d) = -3*d - 7. Let r(k) = -2*k - 6. Give m*j(a) + 5*r(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*b = -31 + 9, l - 7 = 2*b. Let n(c) = c**3 + 2*c**2. Let q be n(l). What is the units digit of (-8)\/(-12)*3 + q - -76?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3073 = -2*x - 28179. Let a = x + 853. Round a to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -183 + 182 + (-28)\/(-5) + (-2)\/(-5). Solve -3*v - r*t = -3, 5 = 5*v - 6*t + 11*t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)*2 - -96. Calculate the common denominator of (4\/(-16))\/(1\/i) and -73\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.5 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -3*l - 72. What is the highest common divisor of 36 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 15*i - 41. Let z be q(9). Let h(d) = d**3 - 12*d**2 - 10*d - 13. Determine h(z).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*n + 114122 + 97113 = -297035. Calculate the greatest common factor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 5*f + 80. Let t(q) = 26*q - 1. Let k be t(1). Let m = f - k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*d - 10, -6*n + 3*n + 9 = 5*d. Put 2, -3\/2, d in decreasing order.\nAnswer: d, 2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 less than -120533305?\nAnswer: -120533304.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3839.6656 + -1856.8165. Let h = l - 1983.9. Let w = 1.03 + h. Round w to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + -84. Let q = -58 + 93. Calculate the remainder when q is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -198, -203, -204, -195, -170, -123, -48?\n\"Answer: z**3 - 4*z**2 - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4 + 0*b + b + 0*b. Let f be c(-3). Suppose z + 3 = 0, -5*j - f - 5 = 2*z. Solve j*n + 5*n = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/9)\/(4\/(-6)). Let s = 16 + -14. Solve -s*v = 9 - t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 379?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4606304, -4606308, -4606312, -4606316, -4606320, -4606324?\nAnswer: -4606328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -27. Suppose -5*u + s = 5. Sort u, 0.2, -1 in descending order.\nAnswer: u, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 94 (b) -0.06537 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 443 (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 649875991 to the nearest integer?\nAnswer: 25493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5585888027?\nAnswer: 107, 269, 194069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 202857652 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + 37. Let a be (-8)\/u - (0 - 23091\/45). Suppose -a = -2*f + 55. List the prime factors of f.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/59 (b) 0.2 (c) 0 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 112*n**2 - 1689*n + 16. What is m(15)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -441.71 and 59.6.\nAnswer: -382.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -253014 or -253041?\nAnswer: -253041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*c + 2. Suppose -2*p = -c*q + 2 - 0, 3*p = -5*q + 30. Solve k - 20 = -q*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(85)\/((sqrt(245) - sqrt(245)*1) + sqrt(245)) + (-4 + ((sqrt(102)\/sqrt(6))**2 - sqrt(17)))*6.\nAnswer: -41*sqrt(17)\/7 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**31\/(((j**29\/j)\/j)\/j)*j**(-35)*j*j**(-23) assuming j is positive.\nAnswer: j**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -901 and -48645 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497922446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1100000 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acs when three letters picked without replacement from {s: 5, a: 5, c: 2, e: 3, g: 4}?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2639263 to the nearest integer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 = -4*h, -5*i - h + 4 = 0. Let k be (22\/26)\/1 - i. What is the second smallest value in k, 0.3, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-9)*(b\/b**5)\/(b*b\/(b*b**4))*(b*b*b*b\/(b**(1\/3)*b*b))**43\/(b*b\/b**0*b*b)**(-7\/9) assuming b is positive.\nAnswer: b**(745\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/8)\/(170\/(-16) + 5). Let x = -0.7 - -1. Which is the biggest value? (a) x (b) i (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 239.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**4 - 3*l**3 + 5. Find the third derivative of o(z) wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:31 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2370\/(-36)*(-3)\/20 and 41\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2959618*v**4 - 4721290*v**2 wrt v.\nAnswer: 71030832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) - sqrt(5)) + 4 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 18. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -51. Suppose 0 = -4*c + t, c - 5*c = -4*p. Suppose o - 1836 = -2*k, -2*o + 1842 = 2*k + p*o. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -f + 24, 5*f - 10*f - 11*b = -4*f - 33*b + 14 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 0*a**5 - 2 + 0*a**2 + 0*a**4 + 1\/42*a**7 - a + 0*a**3 - 1\/30*a**6. Factor k(x).\nAnswer: x**4*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*o + 136*o = 275*o - 426136. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6488 - 6488 - 40*w)*(-2*w + 15 + 0*w - 6) as j*w + n*w**2 + p and give n.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 4. Let a be g(4). Suppose a = 8*v - 12*v + 336. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - 2*v**2 + 2*v - 1. Let o be t(1). Let y = 0.08039 + -0.08039. What is the biggest value in y, 2\/13, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.32 - -6.4166. Round p to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*f**3 + f**4 + 5 - 43*f**3 + 2 to the form w*f**3 + a + h*f + v*f**2 + m*f**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4\/3 - 191*o**3\/3 + 6152*o**2\/3 - 34048*o\/3 = 0.\nAnswer: 0, 7, 32, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11371 + -11370.95. Which is the second smallest value? (a) 83 (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*4\/(-24)*(-1 + 0). Let o = 15 + -11.1. Let l = o - -0.1. Which is the nearest to s? (a) l (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4691 - 4692. Put d, 0, 7\/11, -3 in ascending order.\nAnswer: -3, d, 0, 7\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.04 + 0.96. Sort 2\/9, -2, 0.4, j in increasing order.\nAnswer: -2, 2\/9, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.058498 + 0.058498. Let s = 4\/45 - 8\/9. Which is the nearest to -17? (a) 1 (b) s (c) -2\/17 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*5\/(1300\/(-8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 189605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16\/3 + -11\/2. Find the common denominator of k and -19\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.6 + 0.6. Let j = 0.862 - -43.438. Let h = j - 44.2. What is the nearest to h in m, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31728266 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f - 735. Let c(v) = 9*v**2 + 8*v. Determine c(u(k)).\nAnswer: 729*k**2 - 118998*k + 4856145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/48*((-12)\/(-2))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/(-27))\/((-30)\/(-90))*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x + 2*x + 9*x - 43.\nAnswer: 2*x - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 645 and 10?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*z**4 - 2855025*z**3 - 1268840*z**2 - 140980*z = 0 for z.\nAnswer: -7049, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 364367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**4\/12 + 13*o**3\/3 - 23*o**2 + 7*o. Let l be i(25). Sort l, -4, 5 in ascending order.\nAnswer: l, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 7*q**5\/60 + 7*q**3\/6 - 3*q**2. What is the derivative of m(c) wrt c?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2144852*b**2 - 753046?\nAnswer: -4289704*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 3*z - 1. Let j be i(-2). Suppose 0 = -4*u - 5*v - 1, -3*v + 2*v - 1 = u. Let a be 6\/u*(-2 + 4). Do a and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-15) - 18\/(-5). What is the first derivative of -2 - 2 + 3*b**4 + 3*b**t - 2*b**4 wrt b?\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + 8) - (8 + -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9717971447 and -0.05.\nAnswer: 9717971446.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 927.8149 years?\nAnswer: 0.9278149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 22*t + 45. Let s be g(-13). Let n = s + 75. Suppose -3*c + 16 = 4. Calculate the remainder when c is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpjd when four letters picked without replacement from tdibipjb?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27621218 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9386393km to meters.\nAnswer: 938.6393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 6947*k**3\/6 + 65114230*k**2\/3 + 610315649671*k\/6 - 87853129\/3 = 0.\nAnswer: -9373, 2\/6947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 0, 954 in increasing order.\nAnswer: 0, 48, 954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393923221.\nAnswer: 4003, 98407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1358, -4, 0, 5, 4 in ascending order.\nAnswer: -1358, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -76*a - 675. What is n(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*x - 29 + 64*x + 29 + 48*x - 114*x.\nAnswer: 41*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182\/52*(-12)\/(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -195, -307, -329, -261?\n\"Answer: 45*m**2 - 247*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -6, 2*k + 0*s = 3*s + 83. Let t = k - 19. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-100) + 54\/45. Which is bigger: 3\/350 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a**3 - 4*a**3 - 4*a**3)*(50 + 11*a - 50)*(-1 - 1 + 3) to the form b + s*a**2 + k*a**3 + t*a**4 + o*a and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 18. Let y(x) = 2*x. Determine q(y(s)).\nAnswer: 4*s**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 - 23*z**3 + 16*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7812 is divided by 279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 2. Let t = 272 - 269. Suppose 0 = -t*h + 7*h. What is x(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230*t - 1262*t + 136*t - 863*t to the form h + v*t and give v.\nAnswer: -1759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*f**2*l + 80831362*f**2 + 6194412*l with respect to l.\nAnswer: -19*f**2 + 6194412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 - 142220*q - 2528316050 = 0. What is q?\nAnswer: -35555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1454*c + 28. Let n be o(1). Does 1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**5\/5 - 9*h**4\/4 - 10*h**3\/3 + 122. Solve r(a) = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 196 - 198 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/15 - 4136764*n\/15 - 2139102048962\/15.\nAnswer: -2*(n + 1034191)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 9*c - 4. Suppose 5*d = 5*g - 70, 3*g - 8*g - 18 = 3*d. Determine t(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32853 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*l - 105, 0*n + 5*n - 3*l - 138 = 0. Let w(a) = -8*a + 1. Let j be w(3). Let q = n + j. Solve 9 = 2*b + o - 0*o, -4*o + 12 = -q*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7\/5)\/g*g**1*(g*g**(1\/4))\/g**(2\/17) assuming g is positive.\nAnswer: g**(-91\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 2\/5, -5\/9, -1, 0.015?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3546 - -3546. Solve s = -5*m + 3*v - 1, 5*v - 3 + 18 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, p: 2, x: 4, f: 2}. Give prob of sequence fpp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 14) to base 11.\nAnswer: 1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = 10. Let m(f) = f**2 - 4*f + 3. Let d be m(u). Sort -2\/11, 1\/6, d.\nAnswer: -2\/11, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {f: 2, n: 18}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 14 = -2*d, 2*l = 3*d + 3*l - 11. Calculate the lowest common multiple of ((-6)\/2 - -4) + -1 - -1 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 9*z + 0*z)*(2 + 4*z**2 + 3*z**2 - 5*z**2)*(-3 + 3 - 2*z) + 283*z**4 + 10455*z**3 - 10455*z**3.\nAnswer: 327*z**4 + 44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-2 - -4) + 1. What is the units digit of (-4)\/(8\/f)*28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.037?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -175, -315, -549, -877, -1299, -1815, -2425?\n\"Answer: -47*a**2 + a - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 12, -2*y = -3*x + 2*y + 30. Let n = x + 23. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*x + 35*x = 16193 - 10685 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6032026, -12064102, -18096180, -24128260?\nAnswer: -30160342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z**2 + z - 1. Let m be q(-1). Let i be 0*(-2 + -1)\/m. Factor i*u**2 + 0*u + 0 - 1\/6*u**3.\nAnswer: -u**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1518702ml in litres?\nAnswer: 0.0001518702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -55. Let n = k - -37. Which is the closest to n? (a) -1\/10 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 443477.1nm?\nAnswer: 443.4771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*a**3 - 227*a**3 + 8*a + 165*a**3 + 7*a - 11*a.\nAnswer: 78*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.3 + 20. Let k = -3.8 - 1.2. Let d be 14\/(-18)*1 - -1. Which is the nearest to 1? (a) d (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7205753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(3976\/71))\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*d - 350 = -32*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*y**5 + 848*y**4 - 588*y**3 + 40*y**2 + 32*y = 0. What is y?\nAnswer: -2\/11, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.8? (a) -0.1 (b) 5 (c) 4\/7 (d) 960 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11225758 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -3 (c) -0.18 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*w - 441*w - 20 + 2*w**2 + 13 + 7.\nAnswer: 2*w**2 - 122*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 34360 = 4*k, 0 = -4*s + 261*k - 256*k + 34351. What are the prime factors of s?\nAnswer: 3, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -60. Let q = k - 36.3. What is q rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -4, -8, 0 in decreasing order.\nAnswer: 16, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6846 + 6847. Which is the second biggest value? (a) -3 (b) 3 (c) u (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 195.838226 - 36.8382005. Let o = -159 + j. Round o to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -2a?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 238140?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154054 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 4\/5 (c) -3\/2 (d) 75815 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497, 2383, 5569, 10091, 15985, 23287, 32033, 42259?\nAnswer: 54001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*c - 95 = 68*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 67715323637 and -3.\nAnswer: 67715323634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, e: 10}. What is prob of picking 3 e and 1 u?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v + 198 = 86*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 1 = -5*j. Let k(i) = 2 - i - j + 0*i. Let x be ((-2)\/6)\/(2\/6). Calculate k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 20*x**2 - 18*x - 15. Let r be c(19). Suppose -15 = -g - n - 5, g - 30 = r*n. Calculate the remainder when 40 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 39 + 3 + (-1 - 0) - 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -6 - (-3 - (-8)\/2). Suppose -2*w = -z - p, -5*z + 0*z + 4*w = 6. Solve 4*x + 4*y + 6 = z, -y = -4*x + 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2311063 is divided by 281.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (((-4)\/18)\/((-27)\/(-430677)))\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 15068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*m - 118 = -m, -10 = 5*m. Let y = p - 18. Suppose h = -y, 18 = a - 2*h - 4. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 + z + 1. Let v be 4 - ((-111)\/(-18) - (-2)\/(-12)). Calculate r(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74575, 74576, 74577?\nAnswer: 74578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 3*n**2 + n - 1. Let s be b(2). Let v = -16 - s. What is the least common multiple of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 2596\/44 - (1\/1 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64052 by 478.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnntnn. Give prob of sequence tn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 7*q**2 - 5*q - 1. Give o(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3829.99999353 + 3830. What is k rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*r + 449*r - 298 - 130*r - 116*r - 132*r.\nAnswer: -44*r - 298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*p**5 + 37*p**5 - 4*p + 9*p - 5*p + (-8 + 10 + 11)*(p**3 - p**5 - p**3).\nAnswer: 46*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142437699 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Let z(x) be the second derivative of 57 - 1\/3*x**4 + x + 0*x**3 + 1\/20*x**5 + x**2. Give z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 0) + 2 + 5 + -11 + 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*z + 57, 0 = 5*g - 5*z + z + 81. Let k be (-2)\/(-3) - g\/(-15). Let x = 0.1352 - 0.0352. What is the biggest value in 4, k, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/p)\/p**20*((p**15*p)\/p)\/p**(-9) assuming p is positive.\nAnswer: p**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25094 is divided by 12530?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 + 4*s**5 - 6*s**5 + (-574*s - 377*s + 207*s)*(7*s**4 - 4*s**4 - s**4) + (-s - 4*s + 3*s)*(-2*s**4 + 0*s**4 + s**4).\nAnswer: -1488*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 743354493796 and 0.01?\nAnswer: 743354493795.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1605*d + 3233. Give a(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7016714760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52\/9 + -278\/45. What is the closest to a in 3\/7, -2, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429 (base 10) to base 14.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5, 5*o + 2*c - 20 = 3*o. Solve o*w - 2*w = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 3*g**2 - 10*g + 3. Let f be j(-5). Let s(u) = 4*u**2 + 0*u**2 + u + 3 - u**2 - u**3. What is s(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1303.8539 - 1304. Let s = n + 0.14. What is s rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f + 9. Let k(b) = b + 2. Let c(i) = 4*g(i) - 18*k(i). Let r(o) = 16*o**2 - 206 + 423 - 217. What is r(c(y))?\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -7)*3\/12. Let u be (-1 - 8\/(-10))\/1. Which is the closest to 1\/4? (a) u (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -53. Let d be (78\/(-4))\/(t\/(-18)). What is the tens digit of 12 - 8 - (0 + d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31064 = -377*t + 31441 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 537739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7774 less than 7854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 9:22 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.091 + -1.029. Let h = r + -10.88. What is the nearest to h in 1\/2, -0.4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 13*f = -1428. Let t = -379 - f. Calculate the remainder when t is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0 + 19\/4*d**4 - 60*d**2 - 11*d**3 - 120*d + 3\/20*d**5. Factor w(v).\nAnswer: 3*(v - 2)*(v + 1)*(v + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-3*5\/120). Let v(q) = -q**2 - 5*q + 6. Let s be v(-7). Let o = s - y. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34772582 and 33865.\nAnswer: 173862910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -35. Let y = -30 + 25. What is the remainder when j is divided by 6\/30 + (-49)\/y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -30*w**5 - 442*w**4 - 2232*w**3 - 4344*w**2 - 2368*w - 384 = 0?\nAnswer: -6, -4, -2\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -37*z**3 - 42*z**2 + 7*z + 148. Let k(y) = 69*y**3 + 86*y**2 - 14*y - 294. Let i(x) = 9*g(x) + 4*k(x). Find the second derivative of i(t) wrt t.\nAnswer: -342*t - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7696 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*u = -1013 + 1033, -4*f - u = -4. Let -1\/12*r**3 + 5\/12*r**f - 2\/3*r + 1\/3 = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1824 - -1829. Which is the smallest value? (a) 2\/17 (b) -5\/2 (c) q (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gw when two letters picked without replacement from wgg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1)\/((-6)\/3). Let i be (10\/(-6) - -1) + h. Let w be (-30)\/(-24)*2\/5. What is the second smallest value in -1, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/54)\/((2\/2)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4 - 615*u**3 - 588*u**2 + 4932*u + 7344 = 0. What is u?\nAnswer: -204, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-41)\/i*i*i**(1\/8) assuming i is positive.\nAnswer: i**(-327\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, 40, 123, 242, 391, 564?\n\"Answer: -l**3 + 27*l**2 - 33*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -12. Suppose 4*o - 8*o = 0. Suppose o = -5*c + 20 + 30. Solve a = -5*r + c, -3*b + 2*b + 2*r - 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 138*z - 34840.\nAnswer: (z - 268)*(z + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/19 - (1 - 3). Solve -c*z + 130 = 4*s + 118, -2*z + 8 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3284 + 3284. Which is the second biggest value? (a) 20 (b) 1 (c) f (d) -5 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 716 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.877 - -6.277. What is the closest to 0.1 in u, 0.086, -1\/2, -2?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*t + 15*t + 18 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**3 - 3*d**2 + 3*d**2 + 2.\nAnswer: -39*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -1224?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -6, -2\/13, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65*t + 143*t + 146*t + 120*t - 1180 - 135*t wrt t?\nAnswer: 339","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 52. Let q = -54 + 50. What are the prime factors of (q - -226) + 3*m\/(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 311, 4587, 16193, 38795, 76059, 131651?\nAnswer: 209237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdxtstf. What is prob of picking 1 t and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-368)\/(-2415) + (-16 + 4)\/60.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -66*d - 259. Let g be s(-4). Solve g*u = 3*h - 25, -5*u - 4*h = 35 - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m + m + 1080. What is the derivative of 87*v**2 + 87*v**2 - m*v**2 + 8 wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -229 + 236. Suppose o*n = 29*n + 22. Which is smaller: n or 1\/91?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55076215 a multiple of 2029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466164971?\nAnswer: 3, 162907219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z + 9*z + 10*z - 9 + 4*z**2 - 23*z. Let w(f) be the first derivative of -2*f**3\/3 + 1. Calculate w(m(h)).\nAnswer: -32*h**4 + 144*h**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -13*a**5\/8 + 27*a**4\/4 - 47*a**3\/8 + 3*a**2\/4 = 0?\nAnswer: 0, 2\/13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1360384, -1360465, -1360546, -1360627, -1360708, -1360789?\nAnswer: -1360870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(5\/2)\/(-1). Let l(i) be the third derivative of i**6\/120 + i**5\/15 - i**4\/6 - 8*i**2. Let u be l(b). Are -6 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 - -104.49. Let c = x - -0.11. What is the closest to 0.1 in -0.1, 1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {s: 1, l: 2, p: 8, b: 2, y: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 11*r = -75. Let l be (0 - -15)*3\/r. Let q(p) = -l*p + p + 2*p + p. Let f(w) = -21*w**2. What is f(q(c))?\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -460*q + 61212. What is d(133)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8809540 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s + 688 - 112*s**2 + 649 - 3509 - 6713 - 14*s**2 + 5*s**3 with respect to s.\nAnswer: 15*s**2 - 252*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 20*f + 347. Calculate n(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -5. Let u = 10 - x. What is the units digit of -3*-10*3\/u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 + 85*a + 282. Determine j(29).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = p + 3*p. Suppose x = p*x - 8. Suppose -3*g + 7*g = 0. Solve 4*z + 2*r = -r, g = -z - x*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4696930988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide ((-366)\/(-5 - -2))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*k + 9*k**2 - 2*k**3 - 17*k**2 - 2 in the form x*k + u + y*k**2 + q*k**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (0 + 0)\/2. Let x(z) be the third derivative of z**5\/60 + 17*z**3\/6 + 118*z**2 + 1. List the prime factors of x(b).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5168?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2174 divided by 2.\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*j + 29*j + 22*j + 18*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -17*c + 17. Let l(o) = -o**2 + o. Let w(m) = a(m) - l(m). Let y be w(17). Solve 4*d - d - 6 = y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11152399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160772111 divided by -26413?\nAnswer: 43947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h**2 - 3*h - 4*h**2 + 9*h**2)*(8*h - h - 3*h) to u*h**3 + v*h**2 + p + j*h and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s + 199 = -r, 113 - 112 = -s + r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 10 = 0. Let o(n) = u - 5*n - 1 - 4*n. Let d be ((-1)\/2)\/((-9)\/18). Calculate o(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -46*t + 4. Suppose -5*h + 15 = -0*h. Suppose 2*m + 0*z = -4*z + 66, -h*z - t = 0. What is the highest common factor of 259 and m?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(2\/7))**(-1\/34)*z**(-4)*z**(-2\/5) assuming z is positive.\nAnswer: z**(-2648\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1738 divided by -11.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-88)\/78 - -1) + (-33 - -33))*(-24)\/20.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -18*v - 3. Let l(d) = -9*d - 2. Suppose 3*p + 51*k = 47*k + 11, 5*p = k + 26. What is p*l(r) - 3*u(r)?\nAnswer: 9*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1533)\/217 + 7 + (-1250)\/(-155) - 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17 + 1242*t + 18 - 1247*t. Let r = 3 + 1. Calculate m(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7715.882mm in meters?\nAnswer: 7.715882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 1. Let w(f) = -275*f. What is w(x(q))?\nAnswer: 1375*q + 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:45 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -9*u**3 + 39. Let i(w) = -1 + 24*w**2 + 1 - 25*w**2. Determine f(i(z)).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*n + 4*n + 6*n + 2*n**5 + 3*n**5 wrt n?\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*1476\/656?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p + 12 - 48. Solve 0 = -p*i + 4*y + 21 + 11, 26 = 4*i - 2*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.4. Let u = -23.3 - -23.3. Let b = 6 - 5. What is the nearest to b in 0.3, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Let u(i) = 4*i**2 + 45*i + 15. Let z be u(-17). Suppose -g*r + z = -3*r + v, 5*r = v + 2012. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -16*b**5 - 3*b**4 + 12*b**3 - b**2 + 4*b. Let p(w) = -w**5 - w**2 + w. Let o(k) = 4*p(k) - t(k). Determine l so that o(l) = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 9*i. Sort i, 1, 3 in descending order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220021 - 2012?\nAnswer: -222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/21)\/((-2)\/6). Let g(i) = -2*i + 4*i**3 + 1 + 0 + 0*i**3. What is the units digit of g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 14. Let y be z(-10). Suppose -y*u = -2*n - n + 14, u = 4*n - 10. Sort n, 0, -1 in descending order.\nAnswer: n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (391*c + 595*c - 381*c + (2 - 2 - 2)*(c + 2*c - 5*c) + 2*c + c - c)*(-3 + 2*c**2 + 3).\nAnswer: 1222*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.578 * -32697.\nAnswer: -18898.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143431?\nAnswer: 19, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1414\/5 + 22839\/80. Calculate the common denominator of d and ((-34190)\/(-1500) - 8) + -15.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.615436 - -269535.\nAnswer: 269502.384564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.2 - 21. Let q = -1.2 + n. Let u be ((-6)\/(-16))\/(-1 + 4). Which is the closest to 2\/3? (a) q (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0, 5.8, 2, 16.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 9455*b - 66185. Calculate f(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 48. Suppose b = -0*b + 3. Solve -b*u = u - v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a micrometer in nanometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 6. Let r be o(-15). Let t = r + 4. Solve -4*n - 4*p - 8 = 12, t = 3*n - 4*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 516*o**2. Let t(l) = 102885*l**2. Calculate m(t(c)).\nAnswer: 5462026784100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/3195 and 1\/6745.\nAnswer: 60705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 9137*g + 798*g**2 - 1 + 9531*g wrt g?\nAnswer: 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033383 minus -1904?\nAnswer: 1904.033383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*w - 18 = -6*w, -2*c + 3*w - 8 = 0. Put c, -3, 3, -20 in decreasing order.\nAnswer: 3, c, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.04, -4, 1\/13, -1\/4, 3\/5.\nAnswer: -4, -3, -1\/4, 0.04, 1\/13, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3755)\/150 - -25) + 583\/10890.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212120200011 (base 3) to base 15.\nAnswer: 927c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6309 - -4.62. What is x rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4594992 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 - 2*q**4 - q**4 - 3*q**4 + 0 + 0 - q**4 + 3 - 3 + (-5*q**3 + 3*q**3 + q**3)*(-2*q + 0*q + 4*q).\nAnswer: -9*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/13, 2\/13, -122, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77271.\nAnswer: 3, 43, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2803750*i**3 - i**2 + 4. Let a be l(2). What is a rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010168 to six decimal places.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 519*f**6 - 58*f**2 + 2 wrt f.\nAnswer: 62280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) 5\/7 (c) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 902 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.2472 rounded to 1 dp?\nAnswer: 48.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1175026\/15 or -78334?\nAnswer: -78334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 + 120. Let u(d) = -t*d + 21*d + d**2 + 3 - 2. Let z be 9\/(-2 - 21\/(-6)). Determine u(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85338\/7 - -12191. Suppose l = -2*g + 3, -g = 2*g + 3*l - 12. Which is the nearest to j? (a) -0.4 (b) g (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18740 and 257250.\nAnswer: 482086500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5 + 1\/10*q**2 - 2\/5*q.\nAnswer: (q - 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 3 (c) 8\/3 (d) 6 (e) 3.2 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 7:19 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -137*f**2\/2 + 108*f - 116. Differentiate y(t) wrt t.\nAnswer: -137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aycy. Give prob of sequence ya.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (65\/30 + (-2)\/12). What is the nearest to d in 0.4, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4216 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, and 1 v when three letters picked without replacement from {p: 1, h: 3, m: 1, v: 5, q: 3, i: 1}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30494 divided by -38776.\nAnswer: 15247\/19388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 0.67554\nAnswer: -0.0067554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -417, -912, -1573, -2382, -3321?\nAnswer: -4372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 212\/7, 2\/7, 0.02 in increasing order.\nAnswer: 0.02, 2\/7, 212\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307*y = 291*y + 1904. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d\/d**1*d*d)\/d))**(-5))**(11\/5) assuming d is positive.\nAnswer: d**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/8 + 72\/288. Is u equal to -22\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -23*p**2 - 22723*p - 66979. What is c(-985)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8247*a**2 - 8252*a**2 - 8229*a**2 - 8257*a**2 + 41241*a**2 - 8257*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, -2, 4, 0.3, -11, 10 in ascending order.\nAnswer: -11, -2, -1.7, 0.3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 249*m + 4317. Give l(140).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -1\/8 (c) 4\/3 (d) 3 (e) -3\/4 (f) 4 (g) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4746 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/5 - 246*r**2\/5 + 13949*r\/5 + 14196\/5 = 0.\nAnswer: -1, 91, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 387\/2, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(5445) + 3 + sqrt(5445) - -3*(sqrt(5445) + 1 + sqrt(5445) - sqrt(5445)))*-5*4)**2.\nAnswer: 924000*sqrt(5) + 54469600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h**3 + 4*h**2 + 2*h - 317. Let f(i) = 9*i**3 - 2*i**2 - i + 158. Let r(w) = 9*f(w) + 4*s(w). What is the hundreds digit of r(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -17*i - 190. Let c be x(-13). Let g be 32 - (-2 + (-6)\/(-2)). Let l = g - c. Put -7, -3, l in decreasing order.\nAnswer: l, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 10225*l + 10222*l = 60, -6*j + 8*j + l = 30 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18259 + -18264. What is the third smallest value in d, -1, -7\/6, 3, -19?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36538, -73128, -109700, -146254, -182790, -219308, -255808?\nAnswer: -292290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - -10. What is the least common multiple of 30 and v?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*w - 7 + 49 = 0, 0 = 4*f - 5*w - 54. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/942512 and 97\/2052?\nAnswer: 483508656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + sqrt(468)*2 + 3 + 4.\nAnswer: 16 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27542 + -27484.761. Let k = y - 56.9. What is k rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*o**3 - 1 - 170*o + 0.\nAnswer: -2*o**3 - 170*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (5 - (-11 - -15))) + -2 + 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -4 (c) 1653\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 252628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(5\/6)\/m)**(-1\/7))**(-2) assuming m is positive.\nAnswer: m**(-1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 996 + -3983\/4. Which is the third biggest value? (a) -5 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -0.12. Suppose -3*q = 6 - 3. Let n = -1 + -3. Which is the nearest to v? (a) -1\/4 (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*y**2*z + 39*y*z**3 + 576*z**3 + 64*z**2 wrt y?\nAnswer: -16*y*z + 39*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 27*y**2 - 342*y + 453. What is the ten thousands digit of o(34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 318*d + 5846. Determine a(-16).\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 13. Let a be l(3). Let t be (-4)\/((-3)\/2 + a). Suppose 8 = -y + 4*y + h, -2*y + t = 2*h. What is the least common multiple of 7 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8359.109 kilograms in tonnes?\nAnswer: 8.359109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -194797 plus -909.3?\nAnswer: -195706.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -8151, 3 in increasing order.\nAnswer: -8151, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 + 2*p**3\/3 - 5*p**2\/2 - 5*p - 4. Is c(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*w - 19 = 5*m, -5*m + 4*w + 15 = 0. Let f be (2\/4)\/m*12. Let j be 40\/(-15)*f\/4. Solve 0 = 5*b + j*y + 28, -5*y - 4 = -3*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kppp when four letters picked without replacement from {k: 4, p: 3, l: 1, z: 10}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r + 662. Calculate u(-54).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 14 - 14)*(0*q + q**2 + 0*q) + 2*q**3 + 2*q**3 - q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44? (a) -0.2 (b) 1 (c) -20\/37 (d) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Let p = -5.662 + -0.038. Let f = 6 + p. What is the biggest value in f, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 23 - 2*k**3 + 25 - 2*k**4 - k - 2*k**2 in the form q*k**4 + p*k**2 + u*k + l + r*k**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i + 8. Suppose 4*y - 2 - 14 = 3*v, 0 = -2*v - 5*y - 3. Let u be (-6)\/v - (2 + 0). Which is the third smallest value? (a) i (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396384.\nAnswer: 2, 3, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 - 3)*(-7701*x + 24 + 18 + 7720*x + 5) in the form w*x + s and give w.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6691*k - 11. Let m be n(1). Round m to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6317.511 centuries in months?\nAnswer: 7581013.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 22.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 2*o**3 + 6*o**2 + 1. Find the second derivative of d(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + 2 + -1*sqrt(80) - (-2 + (sqrt(80) + sqrt(80)*-2 + 5 - 4*(sqrt(80) + -1))))**2 + -1.\nAnswer: -32*sqrt(5) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppw when three letters picked without replacement from {w: 2, p: 3, j: 2, m: 5}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(-1)\/((-12)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(3\/(135\/6)). Suppose 6*b - 2*b + 2*p + 4 = 0, 5*p + k = -5*b. Let o(z) = 5*z**2 - z + 1. Let d be o(b). Solve 15 = -d*g, g = 2*s - g - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a - 99. Let q be (-14)\/49 + ((-3330)\/21)\/5. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-1\/2)\/f))\/f)**(-16)\/(f**(-2)*f*f*(f\/(f*f*f**(-4\/7)))\/f))\/((f\/(f*f**0\/f))**(9\/4)*(f**(2\/7)\/f)**7) assuming f is positive.\nAnswer: f**(-555\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1522*u - 2158*u + 12067 - 232867 = 0 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -6, -10, 0 in descending order.\nAnswer: 0, -1, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.918993438 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 51 = -4*g, 2*m - 4*g - g = 34. Suppose 0*o = -o + 3*f + m, o + 23 = -5*f. What is the first derivative of 2*z + 4 + 2*z + o*z - 5*z wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from ttttbbttbtbtb.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 + 2*k**3 - 4*k**3 + (1726*k**2 + 2407*k**2 - 103*k**2 - 128*k**2)*(k - 3*k + 3*k).\nAnswer: 3901*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 10. Suppose -5*f - 23 = -2*k, 5*f + 43 - 6 = z*k. Let w = -8 + k. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10997744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y. Let n(o) = 1425667*o**2 + 2*o. Determine i(n(k)).\nAnswer: 17108004*k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140891433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-18)\/3)\/2. Suppose 5*p - f = 2. Let q = -3 + 6. Solve 0 = -4*s - p - q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -705, -679, -659, -645, -637, -635?\n\"Answer: -3*i**2 + 35*i - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0*p + 10. Suppose -j + p*j = 180. What is the remainder when j is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000079584975 to six decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167*c**4 + 325875*c**3 + 801978*c**2 + 23*c?\nAnswer: 4008*c + 1955250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -25*j + 6. Let h(f) = 275*f - 65. Let q(r) = -r**3 - 13*r**2 - 19*r - 19. Let n be q(-12). Let i(z) = n*w(z) + 6*h(z). Determine i(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/5 - 1016*u**3\/5 + 258063*u**2\/5 + 1016*u\/5 - 258064\/5.\nAnswer: (u - 508)**2*(u - 1)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*w - 4*w**3 - 143*w + 421*w + w**3 - 138*w.\nAnswer: -3*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3748 + -3765. Let j(w) = -w**2 - 17*w - 15. Determine j(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 3*h**2 - 2*h - 4. Let n be i(-3). Let l(k) = 2*k**2 + 1 - 3 + n. Let u(z) = -3*z. Determine u(l(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d**4 - 1 - 1 - 16*d**4 - 2*d - 6*d to the form m*d**3 + f + r*d**2 + j*d**4 + k*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:11 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grjrrsjjrgjrjgj. Give prob of sequence rr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1))**20*(a**(-4)*a)\/(a\/a**(-5)))\/(a*(a\/(a*a**5*a))\/a*a*a**5*a**(-2\/11)\/(a*a*a**(-4)*a)) assuming a is positive.\nAnswer: a**(-328\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 103bc - -17?\nAnswer: 103d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2\/(-1))\/(24\/2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1800272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.09 (b) 7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i - z + 12 = 0, -5*i - 3*z + 20 = 0. Let c be (-28)\/(-3) + i\/6. Let f = c - 5. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.3432 to 1 decimal place.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -445063 - -977040. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:05 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 d when four letters picked without replacement from {d: 7, u: 1, q: 2, g: 1, m: 2, c: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -101478*m - 3653200. Give b(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244502, 244288, 244074, 243860, 243646, 243432?\nAnswer: 243218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**4\/5 - 1278*s**3\/5 - 141111*s**2\/5 - 1063392*s\/5 - 1572516\/5 = 0. What is s?\nAnswer: -209, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1376*-0.02482.\nAnswer: -34.15232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 19*c - 66. Let h be i(2). Let d(s) = -s**2 - 35*s - 195. Let l be d(h). Solve -4 + l = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 25. Let y(v) = 2*v**2 - 4*v + 2. What is the remainder when 63 is divided by y(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 712 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.94374 to one decimal place.\nAnswer: 79.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyyjjjjljgljry. What is prob of sequence ygj?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**4 + 2*c**4 + 3*c**4 + (29*c - 17 + 17)*(c**3 + c - c) in the form p*c**4 + y*c + f*c**3 + l*c**2 + a and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87679683 and 1911.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 + 28 = -2*q. Suppose -5*a = -q - 71. What is the tens digit of (-8)\/(-10) - (-2304)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -3 - sqrt(17))**2 + 2.\nAnswer: -60*sqrt(17) + 1711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2259*m - 52896. Determine g(23).\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 10*t + 3. Let n be h(-10). Let y = -97\/230 + 1\/46. Which is the smallest value? (a) 0.19 (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n + 9. Let j(s) = -5*s + 8. Let m(a) = -2*j(a) + 3*x(a). Let i be m(-9). What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3163c + -9?\nAnswer: 31633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 11 = 5*o + 8, -2*o = 4*c + 30. Calculate the common denominator of ((-6)\/o)\/((-12)\/(-693)) and (-58)\/(-10)*(-2)\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p*u**2 - 1309*p - 1500*u**2 with respect to u.\nAnswer: -4*p*u - 3000*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102*m + 7*m**2 + 111*m + 3*m**3 + 5*m**2.\nAnswer: 3*m*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19115 less than 0.17?\nAnswer: -19114.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q - 6*q = -93*q + 1482 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 130 + 113 = 4*f - 14*f - p, -7*f + 5*p - 158 = 0 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 90282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/120 and 35\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3312 - 3312.1749. Let z = -0.08489 - h. Let a = -0.09 + z. What is a rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 580 and 7830.\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 5. Let g be p(7). Let v be 1*(2 - (2 + g)). Suppose -v = -3*h + 4. Solve h*f - f = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 68\/7 and -6.27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2462525971?\nAnswer: 2462525971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/60 - l**4\/6 - 2*l**3\/3 - 2336*l**2. Let r(v) = 3*v**2 - 9*v - 9. Determine -7*p(a) + 3*r(a).\nAnswer: 2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -208*x**3 - 2*x**2 + 749?\nAnswer: -624*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + u - 2*u - 19 = 0, -4*l = 3*u. Let f(g) = 2*g**3 - 7*g**2 + 7*g. Let y be f(l). Does y = 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 8)*(-6*m - m**2 + 6*m + (2*m**2 + 3*m - 3*m)*(-3 + 5 + 0) - 2*m + 2*m - 2*m**2) to t*m**2 + d + q*m and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5 + -1.5. Let x = 0 - -0.5. What is the nearest to 1\/4 in r, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5\/(-20))\/((-6)\/16) + (-17915)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1265 divided by 253.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-19 - -11) - (6 + 17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5 + 10)*70\/(-98)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.2 and 0.925.\nAnswer: -8.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 1)*(w - 3*w + 0*w + (1 + 4 - 3)*(-w - 1 + 1)).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1175515 and 275.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 5. Let c = j - -4. Find the third derivative of 2*p**2 - 5*p**2 + 4*p**2 - c*p**5 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75615 = -34*l + 53177. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5\/3 - 151*z**4\/3 + 5923*z**3\/3 - 16873*z**2\/3 + 16576*z\/3 - 5476\/3.\nAnswer: (z - 74)**2*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.32 or 6397\/114?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/7)\/((-4)\/(-24)*4)*49.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 + -107. Suppose -j = 2*j - p - 179, p - m = -j. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/2211750 and 77\/2211750.\nAnswer: 2211750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -895\/6 - -3643\/24. What is the common denominator of u and 21\/193?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 22 = -5*a, -a + j - 16 = a. Let u be 21169995 - (-9 - 24\/a). What is u rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 8*v**2 - 9*v - 10. Let x be (1 - 3 - 5)*1. Let n be s(x). Suppose m + n*m = 0. Solve 3*g + 2*k - 9 = -2*k, m = 3*g + 5*k - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 5:10 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 487*z - 1546*z - 2238 - 13647 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1101571 - -1101573. Find q such that 133\/4*q**3 + 21296 + 1\/4*q**4 + 22748*q + 1485*q**y = 0.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 37532*m + 7. Give a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/17 - 3860008*p\/17 - 23159976\/17 = 0. Calculate p.\nAnswer: -1929998, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*f + 4, 3*h - 2*f + 6 = -4*f. Let u(b) = b**2 + 9*b + 6. Let k(t) = -3*t**2 - 26*t - 17. Let r(l) = 3*k(l) + 8*u(l). Determine r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14188 = -504*o - 16556 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 12:45 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311924649 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -379172*r**3 + 3791744*r**2\/5 - 1895908*r\/5 + 24\/5.\nAnswer: -4*(r - 1)**2*(473965*r - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + 1 + sqrt(1620) - (sqrt(135) + 1*sqrt(135) + sqrt(135) + sqrt(135))\/sqrt(3) - (4 + sqrt(180)\/(sqrt(8)\/sqrt(2))*-3))**2.\nAnswer: -198*sqrt(5) + 5454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*m + 55 - 11 = 0, 5*m = 4*z - 88. Suppose z + 10 = u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 h, 1 i, and 1 y when four letters picked without replacement from {y: 5, i: 1, h: 1, g: 3, x: 1, b: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418.9 + -1.\nAnswer: -419.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + -1 + -2 + sqrt(320)*-2 + 2*3*sqrt(320) + 0 + 0)**2.\nAnswer: -192*sqrt(5) + 5129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2 + 15 = 4*c, 3*o + 19 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 126 - 23*f + 42*f - 8. Let i be b(-7). What is the highest common factor of 160 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h + 36. Let k be t(13). Let m = k - -93. Is 27 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 44*x + 34*x - 82*x - 4. Let q = -5 + 1. Determine h(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158247 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340312666.\nAnswer: 2, 97, 1754189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -311*z + 611. Give b(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*i + 3*h + 1, 0 = 5*i - h - 10. Suppose 3 + i = m. Find the third derivative of -m*n**2 + n**3 + 0*n**3 + 6*n**2 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - o - 1. Let k(a) = -a**3 + 6*a + 3. Calculate -2*k(g) - 6*p(g).\nAnswer: 2*g**3 - 6*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/16)\/((-2)\/72). Let h be 2\/3 + 387\/l. What is the highest common divisor of 120 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 - 12*j - 8. Let v be o(4). Let g(z) be the first derivative of v*z + 4*z**2 + 2\/3*z**3 + 4. Factor g(c).\nAnswer: 2*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.054*-0.04\nAnswer: 0.04216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.03 - 6.13. Which is the nearest to 1? (a) n (b) 5 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/(36\/(-64)*4). Suppose 2*m**3 - 32\/3 + 46\/3*m**2 + j*m = 0. Calculate m.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 3153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(143) - -2*sqrt(143)) - sqrt(143))\/((sqrt(11) + sqrt(44)\/sqrt(4))*-1))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9940\/13 - 1867875\/2444. Find the common denominator of 39\/893 and j.\nAnswer: 3572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.59999965 - -0.6. Round n to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1728320 and 6270.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*b + 1522, 4*b + 248 + 1276 = -2*n. Let c = -1517\/2 - n. What is the biggest value in 2.8, 1\/6, c, -3\/5?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - b - 913 = -7792, -3*b = 2*c - 13757. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 - 120*k**3 - 2312*k**2 - 12480*k + 35200 = 0.\nAnswer: -22, -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x + 73. Let s be a(-10). Factor -6*w - 3*w**4 + 6*w**s + 271 + 273 - 541.\nAnswer: -3*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 52.6 (b) 0.5 (c) 3 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/3 + 896380*c + 2689125.\nAnswer: 5*(c + 3)*(c + 537825)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from vjvvjvvkksvscjkcssc?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826286 = 562*k - 872932 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117.7059 kilograms to grams.\nAnswer: 117705.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggcggggggcggcgcgggcg. What is prob of picking 1 c and 3 g?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.99 - -609.99. Let h = 597.4125 - w. What is h rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2818 - -2957) + (-3 - 87)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0596 (b) 0.53 (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -6, -3*q - 6*u + 9 = -4*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -362948, -362929, -362898, -362855, -362800, -362733, -362654?\n\"Answer: 6*j**2 + j - 362955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 120\/18)*-3. Is 14 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -0.0466496, -0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-77463)\/63 + 12\/(-28). Let y = -727 - k. What are the prime factors of y?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**26*(z*z**(-3\/13))\/z)\/((z\/(z*(z\/z**(-1)*z)\/z))\/(z\/(z**(-2\/19)*z))) assuming z is positive.\nAnswer: z**(6885\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {p: 3, u: 2, m: 1, b: 3, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15678 and 41076360?\nAnswer: 41076360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -239993298 to the nearest 1000000.\nAnswer: -240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uou when three letters picked without replacement from {q: 5, c: 1, i: 1, o: 2, n: 1, u: 6}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 5, -0.3 in descending order.\nAnswer: 13, 5, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5982.6 + 5982. Let w = -14 + 10. Which is the fourth biggest value? (a) w (b) 0.4 (c) 0.1 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0.053, 2\/7, -88, 2, 14 in descending order.\nAnswer: 14, 5, 2, 2\/7, 0.053, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.29 + -9.71. Let k = 4.5 + l. Let z = k + 6. Which is the smallest value? (a) z (b) -2\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*a**5 + 23*a**4 + 24*a**2 + 15 wrt a?\nAnswer: 960*a**2 + 552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 3:27 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acackaao. Give prob of sequence cak.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 35 - 6 = -4*z, 27 = 3*v + 3*z. Let d be 2\/(-5) + (-22)\/(-5). Suppose 3*w + 5*l = -2*w + 45, 0 = d*w + 2*l - 30. Solve u - w*u = -v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -38 + 50 - -8?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 424144*o + 3700*o**3 - 424144*o + (2*o**2 + o**2 - o**2)*(4*o - 3*o - 3*o) as i + b*o**3 + t*o**2 + h*o and give b.\nAnswer: 3696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5213030 from 2.\nAnswer: 5213032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1179 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 338 + 640. Let i = -232 - y. Suppose 160 = 4*c + 3*t, -6*c + 2*t + i = -4*c. Solve 0 = -5*u + c - 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100002201100010 + 10?\nAnswer: 100002201100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246 and 23018700?\nAnswer: 943766700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let g(b) be the second derivative of -b**3\/6 + 3*b**2\/2 - 4*b. What is g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.8013 - -6.8. What is b rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 5*z - 25, 47 = 5*a + z + 76 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 120, 212, 354, 540, 764?\n\"Answer: -o**3 + 31*o**2 + 6*o + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 4:52 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18558 and 1157112?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -1. Let d = -3469745186.00000027 + 3469745219. Let i = f + d. What is i rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239848 divided by 4.\nAnswer: -59962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 7*l**2 + 0*l**4 + 0*l**3 + 0 + 1\/30*l**5 + 0*l. Let h(d) = -2*d. Calculate b(h(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2393\/145 - 61\/29. Factor -2\/5*z**2 - p - 24\/5*z.\nAnswer: -2*(z + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3 - 3*j + 3*j - 3 + j. Determine k(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 8. Let m(u) = -2*u + 3. Suppose -3*f + 77 = 53. Determine f*m(x) - 3*o(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + z + 14. Let r be n(-8). Let h = r - -367\/3. Let g = 3 - 1. Which is the third smallest value? (a) h (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 311 - 137. Let o = 174 - m. Suppose 4*k + 25 = 5*b, -2 = 2*b + 2*k - 6*k. Solve -3*n - b = o, 5*r - 4*n + n + 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.4. Let u be 5\/20 + ((-1)\/(-12))\/1. Let j = 4.2 + 0.8. What is the nearest to u in j, -2\/13, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**2 + 2*p + 1. Let i(m) = 41*m**2 + 11*m + 6. Let f be (430 - -7)*3\/3*-1. Let k = -439 - f. What is k*i(s) + 11*c(s)?\nAnswer: 6*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 85\/2. Let l = 0 - 0.1. Let s = l + 0.1. Which is the biggest value? (a) s (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1374, 2181, 4586, 9387, 17382?\n\"Answer: 133*n**3 + n**2 - 127*n + 1367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23168105, 23168057, 23167997, 23167919, 23167817, 23167685, 23167517, 23167307?\nAnswer: 23167049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -18. Let y = 10 + v. Which is the third smallest value? (a) 0 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -124915533341367?\nAnswer: 124915533341365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 280 = 7*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11445\/8 - 171239\/120. Let c = 28 + -10. What is the common denominator of ((-394)\/c + -1)\/(-4) and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 3*c + 2*o + 51, 0 = -4*o - 4. Suppose 0 = 5*y - 34 - 6. What is the first derivative of 149*d**4 + y - 337*d**4 + c*d**4 wrt d?\nAnswer: -76*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67 + 72. Suppose g - 32 = -3*x, -2*g + 4*x + t = -39. Suppose -2*o + g = 2*o - 2*k, 25 = -5*k. Solve -o*p + 1 = -7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6173562 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9377016973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 760\/30 + (-2)\/(-3) - 3. Let b be (9 - 13)*a\/(-4). Find the third derivative of -b*h**4 - 13*h**2 - 12*h**2 + 13*h**2 wrt h.\nAnswer: -552*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**4 - 506426*a**2 - 489629.\nAnswer: -8*a**3 - 1012852*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -674?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714 a factor of 2176896552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(77)\/(sqrt(55)\/sqrt(5)) - sqrt(7) - (sqrt(7) + (sqrt(7) - -3*2*sqrt(7)) + sqrt(7) - sqrt(7))).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 154009, 154276, 154543, 154810?\n\"Answer: 267*o + 153742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.005448 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 147143762329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5 + 20*m**4 + 60*m**3 - 160*m**2 - 320*m = 0. Calculate m.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -96*f**2 + 20*f - 41. Let m(n) = 32*n**2 - 7*n + 14. Let s = 31 - 37. Let j(z) = s*l(z) - 17*m(z). Is j(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/4580555 and -89\/3926190?\nAnswer: 27483330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13a10 (base 14) in base 6?\nAnswer: 1013034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8806442 - 146.7393\nAnswer: 8806295.2607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -29*g. Let q(k) = -44*k - 136. What is v(q(m))?\nAnswer: 1276*m + 3944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/4, -7, -6\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*k = -3*k + 76, -2*k = -2*t - 54. Which is smaller: t or -25?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8345 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -435873*n**3*z - 164*n**2*z + 383*z wrt n.\nAnswer: -2615238*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -371, -526, -939, -1736, -3043, -4986, -7691?\n\"Answer: -21*a**3 - 3*a**2 + a - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 26*y - 6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y + 3*y - y + 1 - 3*y. What are the prime factors of v(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-5))\/(152\/(-40)). Let k = -3.5 + 4. What is the nearest to 0.1 in 1\/3, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218 - -218.1. Which is the nearest to p? (a) 0.2 (b) 2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -15, 5, 6, -40, 4, -153 in ascending order.\nAnswer: -153, -40, -15, -3, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/(d**(-2\/3)\/d))**(2\/105))**(-4) assuming d is positive.\nAnswer: d**(104\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 199. Let c be n(51). Suppose -2*f - 2 = 4*w, -c*f + 8*w - 3*w = -55. Calculate the remainder when 55 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:59 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 28*k - 523. Give z(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 947880 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/360 + b**5\/30 - b**4\/6 + 4*b**3\/9 + 63*b**2. Factor j(i).\nAnswer: -(i - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 3:58 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*f - 2*p, 4*p - 3*p = -4*f + 7. Suppose 50 = -f*r - 3*r + 5*q, 4*q = -3*r - 23. Let o = 7 - r. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbnnnbnnnnbnbn. Give prob of sequence bnbn.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/6 and (7 - 5)\/((19\/(-11))\/1)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 - 17*j - 3*j**3 - j**2 - 40 + 40 in the form k*j**3 + v + d*j**2 + r*j and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + ((sqrt(77)*4 - sqrt(77) - sqrt(77))*-4 + sqrt(77) - sqrt(77) - sqrt(77)))\/(-2*sqrt(396)).\nAnswer: 7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31283938433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 577 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.24 + 4.34. Let z = m - -0.9. What is the closest to -2 in -0.2, 5, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 938940 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:22 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -688 - -1318. Suppose -r = 2*u - 20*u. Is u less than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21 - 2)*2\/(-2). Let x = 0 + 8. Does 5 divide 4\/x + r\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(51941*n + 51943*n - 103891*n + 95).\nAnswer: 14*n - 190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6 - -3))\/(-1). Let n = 8 + -6. Let z = n - -1. Put m, z, 2 in decreasing order.\nAnswer: z, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151 (base 9) to base 12\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 20, 0*j + 3*j = -2*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8 = 3*j. Suppose -2*u = -j*h + u + 42, 4*h - u - 38 = 0. Suppose -h = -l - 3*v + 15, -2*v + 185 = 5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/98)\/(1\/7). Is 26\/5 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228365 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/36)\/(2\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27.9 (b) -0.3 (c) 3\/2 (d) -1 (e) -3 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 8:15 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 34.019784us?\nAnswer: 0.00000000944994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8393 or 1\/2?\nAnswer: 8393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 6 = 3*a. Let p = 18 + -2. Calculate the highest common factor of a and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 5*i. Suppose z - 2*z + 3*j + 100 = 0, i*j + 212 = 2*z. Suppose -h + 11 = -3. What is the greatest common factor of h and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 176820\/8941 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3 = 4*l + 7, -4*d - 5*l + 49 = 0. Suppose -d*w = -w - 10. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**10\/15120 + z**6\/360 - z**4\/12 + z. Let y(t) be the third derivative of b(t). Find the second derivative of y(n) wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -12. Let v(f) = -f + 0*f + h*f + f. Suppose -24*d + 30 = -42. What is v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/374 - (23664\/2023)\/29?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*j + 10, -5*k = -2*j + 5 + 10. Is k at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -91*u - 70. Let g(c) = 31*c + 24. Determine 17*g(r) + 6*i(r).\nAnswer: -19*r - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 111 = 81. Calculate the remainder when 127 is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -17. Sort -2, d, 0, 4 in decreasing order.\nAnswer: 4, 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141675740 is divided by 283.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbf when three letters picked without replacement from bififbiibffeii?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/1)\/(56\/(-22594)). Let g be 200*-3*8\/6. Let c = g + d. Find the common denominator of -35\/22 and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-8 + (-324)\/(-48)). Which is the closest to 3? (a) t (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**3 + 2*a**2 + 13*a - 15. Let z be c(1). Solve 3*r - 4*k = z, -2*k - 11 = -5*r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 56 + 18 = 0. Let p = -2 + 12. Is y\/1*(p + -21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 98?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 33*n**3 + 1984*n**2 + 1081*n - 874. Let u(w) = -234*w**3 - 13887*w**2 - 7566*w + 6117. Let a(j) = 15*m(j) + 2*u(j). Factor a(z).\nAnswer: 3*(z + 1)*(z + 73)*(9*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 9:31 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -7\/2 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5435 (base 7) to base 4\nAnswer: -132101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1644, -3299, -4954?\n\"Answer: -1655*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 h when three letters picked without replacement from hggghhhhgg?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {l: 1, r: 1, q: 1, p: 2, g: 2, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (1*sqrt(171))\/sqrt(9))**2 + (sqrt(19) - sqrt(76)*1) - (sqrt(2736) + (sqrt(2736) + -3 + sqrt(2736) + sqrt(2736))*-6 + sqrt(2736))**2.\nAnswer: -700664 + 6911*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 0.0745, -4\/7, -40?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51473 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**5\/5 + 73*p**3\/3 - 3*p**2 - 1026*p - 1232. Find the second derivative of k(q) wrt q.\nAnswer: 12*q**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzyfyifzrryzjirr. Give prob of sequence jr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 329*s**3 + 2*s**2 - 4*s + 3. Let a(p) = -660*p**3 - 4*p**2 + 7*p - 5. Let d(j) = -3*a(j) - 5*f(j). Is 16 a factor of d(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52285 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-1\/3))\/p)**(5\/6))**(-23) assuming p is positive.\nAnswer: p**(-230\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, f: 5}. Give prob of sequence ffv.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-1 + (3 - 2)). Suppose 4*j - j - 15 = v. What is the first derivative of -j*t + 5*t + 4 + 4*t**4 wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d**2. Let c(x) = 5*x + 7. Let t(v) = -2*v - 3. Let y = -7 + 0. Let i(u) = y*t(u) - 3*c(u). Give i(m(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11529446619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 639 and 66.\nAnswer: 14058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psn when three letters picked without replacement from pnakgpgns.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/72 + 2 + 4\/(-12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/18*3 - 10 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12851896 and 480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -179751, -359502, -539253, -719004, -898755?\n\"Answer: -179751*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1252 - -1249. Sort 0.3, h, -1\/3, -359.\nAnswer: -359, h, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6469828 to the power of 1\/2, to the nearest integer?\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (252\/(-15))\/4*3640\/(-546)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 34. Find the first derivative of -3*m**2 + 66 + 54 + 7 - 10*m + q*m wrt m.\nAnswer: -6*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*i**4 - 116225*i**3 - 278225*i**2 - 174975*i - 12420 = 0 for i.\nAnswer: -207, -4\/3, -1, -3\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**4 + 7 - l**2 - 7*l**5 - 2 + l**4. Let d(q) = 3*q**5 - 3. Let o(i) = 5*d(i) + 3*p(i). Find the third derivative of o(v) wrt v.\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**2 - 17*m - 35. Let w(u) = 2 + 0 + 10*u + 3*u**2 - 4*u + 10. Let v(x) = -6*q(x) - 17*w(x). Find the first derivative of v(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.350759 weeks to nanoseconds.\nAnswer: 1421739043200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-741)\/(-1235))\/(5\/((-25)\/3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(12\/(-22))\/(-3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n**2 + 30*n - 5. Let z be v(4). Suppose -1500 = -9*b - z*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11673, -10920, -9657, -7878, -5577, -2748?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 11310 + (-10 - (-1 + -11)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1452))**2 - sqrt(12) - (-5 + (sqrt(24)\/sqrt(2) - sqrt(12))) - (0 + (sqrt(12)*3)**2 + 1).\nAnswer: 42*sqrt(3) + 1349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1246 (base 7) to base 5\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.27 from -5.\nAnswer: -3.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-1\/11)\/((x\/(x*x*x**(-3\/7)))\/(x**3\/x*x*x)) assuming x is positive.\nAnswer: x**(345\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32720654*d + 65441313*d - 32720661*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/21))**0*i*i**(5\/7)*i*i**24)**(13\/2) assuming i is positive.\nAnswer: i**(2431\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -77\/6928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102000010 - 10110220?\nAnswer: -10112111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111273 rounded to three decimal places?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97466 is divided by 734?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -73\/14 at least as big as -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**2. Let f(z) = -57*z**2. Determine f(p(u)).\nAnswer: -3648*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 21*z**2 + 36. Let j(b) = 11*b**2 + 19. Calculate 11*j(i) - 6*r(i).\nAnswer: -5*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*m = -264 + 1533 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(-3 + -8 + 10). Solve g - 3*f + 6 = v, -8 = 2*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 527.86 - 527.8. Which is the closest to -10? (a) -4 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256304950 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27340 and 56?\nAnswer: 382760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 687393.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -369 - 76 - 938 + 906*t + 49 - 3391*t wrt t?\nAnswer: -2485","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*1)\/((120\/(-270))\/((-4)\/(-3))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -11. Let y = 5 + r. Which is bigger: y or -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -737 or -442?\nAnswer: -737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60426*r**3 - 5377*r**3 + 36923*r**3.\nAnswer: 91972*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18017281 is divided by 837?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*u - 5*n, u - 55 = 4*u + 2*n. Let d be (-162)\/u*10\/4. Suppose 5*l - 18 = d. What is the smallest common multiple of l and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.204509 decades to centuries.\nAnswer: 0.7204509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 a when four letters picked without replacement from {a: 6, i: 7}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266\/195 + -16\/13. Let s = 48996 - 342974\/7. What is the nearest to -0.2 in f, 1\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a + 7. Let j be r(6). List the prime factors of j\/(-57) + (-458)\/(-6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 18*n + 48. Let x be t(-20). Let p(v) = 16*v**3 + 2*v**2 - 1. Let f be p(1). What is the common denominator of f\/(-13)*(-4)\/x + 2 and -41\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/13, -111\/19, -9 in descending order.\nAnswer: -4\/13, -111\/19, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3 + 184*d - 4 - 399 - 7 - 242 + 142*d wrt d.\nAnswer: -6*d**2 + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*w + 160368 + 117829 = -24910. Does 53 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -202665 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/24*-5*6\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75302*c**3 - 70*c + 75307*c**3 + 70*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113 - -140. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 7*f + 3. Let v(b) = 4*b + 2. Give -6*g(s) + 10*v(s).\nAnswer: 6*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 49.832 nanograms?\nAnswer: 0.000000000049832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3000)*-1)\/(-2*(sqrt(1000) + sqrt(10))))**2.\nAnswer: 30*sqrt(3)\/11 + 1164\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 13*x - 20*x. Let q be 1\/(-2)*-4 + 42. Suppose q = 4*t + a, 3*t - 3*a - 8 = 10. Calculate the greatest common factor of x and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 5. Calculate the remainder when p(14) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 1224411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 71 = 4*m - 19, -i + 55 = 2*m. 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 the distance between -1217 and -0.49?\nAnswer: 1216.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 634055268 and 4873.\nAnswer: 4873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 + -181. Let d = 318 + w. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let k(l) = 3*l. Let s be -1*(-3 - 12\/(-3)). Let f(a) = s*k(a) + 4*h(a). Let r(q) = -4*q**2. What is f(r(c))?\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14052 take away 4?\nAnswer: 14048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -3 + ((sqrt(243) + 1)*4 - (3 + (sqrt(243)*-2 - sqrt(243)))) + 5 + 1 + sqrt(243) + sqrt(243) + 5*2*sqrt(243))*3)**2.\nAnswer: 3078*sqrt(3) + 789516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-276)\/(-66) - (-2)\/(-11). Let c(z) = 4 - v*z**3 + 5*z**3 - 2*z**3. List the prime factors of c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9578 or -9577?\nAnswer: -9578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12203*t - 1106*t + 1973*t in the form d*t + b and give d.\nAnswer: 13070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2, 0.1, 38389, -0.3 in increasing order.\nAnswer: -2, -0.5, -0.3, 0.1, 38389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*g - 3*g + 6*g)*(103 - 51 + 5) + 1 - 1 - g to y + m*g and give m.\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000001101 - 100001110101?\nAnswer: 1011110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 2*t**2 - 4*t**2 - 2*t + 10*t - 10*t to x*t + k*t**3 + c + w*t**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-246)\/24 - (-2)\/8. Let l = 17 + f. Let i(t) = -l*t**2 + 4*t**2 + t**2. Let q(x) = -8*x. Determine i(q(n)).\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.92 - 1.52. Let h = k + -11.6. Put -11, -1, h in decreasing order.\nAnswer: h, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(90) + sqrt(90) + (sqrt(90) - sqrt(90)*2) + sqrt(90))\/(sqrt(24)\/(sqrt(48)\/sqrt(4))).\nAnswer: 4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 140, -41, -6, 3 in descending order.\nAnswer: 140, 3, 2, -6, -41","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 931 + 2423 - 3356.\nAnswer: 8*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(704) + 0)*3*-4 + (4 + sqrt(704)*-1 - sqrt(704))*-5 + -5)*2)**2.\nAnswer: 3072*sqrt(11) + 13568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 - 10 + 9 + 3 + 2 + 389*i + 0*i**3 + i**3 to the form f*i**3 + q + u*i + d*i**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33919830 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/14)\/((2808\/420)\/13)*(-366)\/(-6100)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02122 to four dps.\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2208972 weeks to microseconds.\nAnswer: 133598626560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66763 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -402, -1338, -3148, -6120, -10542, -16702, -24888?\nAnswer: -35388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6 (base 14) to base 9.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.17, -2\/9, -1\/4, -5 in ascending order.\nAnswer: -5, -1\/4, -2\/9, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.694581 to two decimal places.\nAnswer: -22.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 + 25*u\/4 - 1.\nAnswer: -(u - 4)*(6*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 18596590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (861\/(-35) + (-29)\/(-1))\/((-1)\/(-5) + 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 - 3673715*y**2 - 135920790*y - 132247080 = 0. What is y?\nAnswer: -734706, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 182*f + 2*f**3 + 182*f + (0*f**3 - 6*f**3 + 5*f**3)*(-1 + 0 + 0).\nAnswer: 3*f**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 460673189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d - 28*d - 25*d + 11*d**2 - 21*d**2 to the form o*d + h*d**2 + p and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/836 and -107\/152.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - a - 30, -v - 6*a = -11*a - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77475857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 8*l - 15. Let a be d(7). Let g = a + 53. Let p be (-2)\/g*(3 - 3)\/(-1). Solve -4*n + p*n = 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Let q(p) = p. Let r(m) = m. Let v(t) = -3*q(t) + r(t). Determine v(y(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2005 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 28 = 76. Suppose -4*d = 3*p + i, 0*d + 2*d + 11 = -3*p. Let s(m) = -3*m + 4. Let u(v) = 3*v - 5. What is p*s(w) - 2*u(w)?\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -12 - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2. Let j(w) = -38*w**2 - 5*w + 5. Let u(s) = -159*s**2 - 21*s + 21. Let y(c) = 21*j(c) - 5*u(c). Determine x(y(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35.3927 and 10.\nAnswer: -25.3927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0 + 0)*(-3*c**3 + 2*c - 2*c)*(-c + 4 - 4 + (c - 4 + 4)*(-3 + 3 - 1)).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -9661.\nAnswer: -38644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 19. Let l(b) be the first derivative of -b**2\/2 + 1. Give l(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31043939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121112 (base 5) to base 12.\nAnswer: -2758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 51*h**2 + h + 1. Is i(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1998 + 2019.97. Let o = 25 - k. Let a = o - 0.03. What is the smallest value in a, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/3*3\/(-12)*-6. Let s = -1 - 1. Which is the second biggest value? (a) g (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4424241377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*g - 2*k + 13, 2*g - 8 = 2*k. Put -4, g, 5 in descending order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41503470, -41503471, -41503472, -41503473?\n\"Answer: -r - 41503469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103221 + 22?\nAnswer: 103243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 6. Let r(z) = -z + 5. Suppose -5*g + 2 = 22. Give g*r(m) + 3*q(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 4)*(-3*c - c - 5516 + 5543)*(-c - 2*c**2 + c) to the form t + f*c**2 + l*c + o*c**3 and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 5. Let c be z(-4). Let x be c\/(6\/8) + 8. Suppose -2*s + 3*f = -6*s, 5*s + x*f = 0. Solve -4*q + s*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 0.35, 7136, -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000111011000000010 (base 2) in base 7?\nAnswer: -2325226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 x, and 1 s when four letters picked without replacement from xqxhqsqqqqqhqxsxxx.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -34*z + 21*z + 29*z**2 - 2*z**3 - 27*z - 7*z**3 + 20. Let j(n) = 55*n**3 - 175*n**2 + 240*n - 120. Let p(s) = -25*b(s) - 4*j(s). Factor p(u).\nAnswer: 5*(u - 2)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49, 106, 159, 196, 205, 174, 91, -56?\n\"Answer: -2*n**3 + 10*n**2 + 41*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01275879267 rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 750970 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-9)*9\/12. Which is the biggest value? (a) -0.3 (b) 10 (c) f (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -25370.7385.\nAnswer: 25370.9385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9473, -0.1, 0.5 in ascending order.\nAnswer: -0.1, -4\/9473, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.07, 1.3, 134.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + 28. Suppose 0*p = 4*n - 3*p + j, 0 = 4*p - 20. Let h(z) = 3*z**2 + 7*z + 4. List the prime factors of h(n).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23536 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**3*w**2 - 5576*g**3 + 265*g**2*w**2 - g*w + w**2 wrt w?\nAnswer: -14*g**3 + 530*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6834 + -0.6334. Which is the closest to 0? (a) -6 (b) 2 (c) m (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -6. Suppose -2*q - 6 = a. Put q, 4, -1 in increasing order.\nAnswer: q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 510 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 3*a**2 - 2*a - 4. Let c be w(4). Differentiate -43 - 4*k**c + 25*k**4 + 27 wrt k.\nAnswer: 84*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 7\/9 (b) -2\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*z + 4, 3*z + z = -q - 1. Suppose 4 = k, -2*t + 3*k = -5*t + 18. Solve w = -t*n - 13, -w = -2*n - z*w - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 3*v - 9. Let g be k(0). Let c(w) = -9564*w - 76. Let h be c(g). Round h to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 265\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/66051 and -52\/19557.\nAnswer: 3500703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 25\/(-10))\/((-2)\/4). What is the closest to -5 in -1\/3, 2, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 6\/13, 2 in descending order.\nAnswer: 2, 6\/13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-82)\/4*(-6)\/3. Let n = u - 37. Suppose -3*q + 663 = n*d - 0*d, 3*d - 442 = -2*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = -15. Suppose -h*u + 181 = -a, a + 144 = 4*u - 0*a. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*11\/88*16\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 7. Let x be (-145)\/(-25) + (-2)\/(-10). Let p be r(x). Let t = 49 - p. Round t to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351434.\nAnswer: 2, 199, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n - 59. Let q be z(8). Solve 2*p - 5 = -q*y - 0*p, 5*p = -4*y - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*o*w + 8732*f**2*o + 9*f**2*w + 211*f*o - 2*o - 31*w wrt f?\nAnswer: -2*o*w + 17464*o + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 282082103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43\/286? (a) 0.4 (b) -1.13 (c) -2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.459, 4\/7, 73, -3\/7?\nAnswer: 1.459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19623914, 19623889, 19623864, 19623839, 19623814, 19623789?\nAnswer: 19623764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(18\/11)\/n**(-3\/17))**15)**(2\/47) assuming n is positive.\nAnswer: n**(10170\/8789)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20\/21 + 669\/14049\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/8 - (-3)\/6. Let h(c) be the first derivative of -2 + a*c - 1\/2*c**2. Let n(d) = 3*d. Determine h(n(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5732617 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000645 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-seven quarters of a millennium?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1 = 3. Suppose -5*t + 210 = -r*t. Calculate the highest common factor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 79*y**2 - 2309*y - 98*y**2 - 95*y**2 + 2308*y to the form m*y + f*y**2 + h + t*y**3 and give f.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 23. Let u = -17 + k. Find y, given that -2\/9*y**4 + 0*y - 8\/3*y**u + 0 + 0*y**2 + 2\/9*y**3 = 0.\nAnswer: -1\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15) + (-54)\/(-15). Suppose -t + 4*t + c - 11 = 0, n*t = c + 10. Suppose 38 = a - 4*k - 0*k, 0 = -t*a + 5*k + 114. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.44 - -0.06. Let m = -2.5 + y. Which is the smallest value? (a) 0 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/7))**(-10)\/(t*t**(-2\/9)*t*t**(-2)) assuming t is positive.\nAnswer: t**(-166\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -941*g + 27 - 3*g**3 - 51 + 0*g**3 + 26.\nAnswer: -3*g**3 - 941*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 0, -2 in decreasing order.\nAnswer: 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5987, 6083, 6175, 6263?\nAnswer: 6347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*x = 10*c - 138, -722*c + 731*c = -3*x + 123 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3\/2*b**4 + 0 - b - 1\/4*b**5 + 3*b**2 - 13\/4*b**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(15\/(-41)) - 68\/85. Suppose 0 = -2*d - 4 - 8. Let p be (-4)\/d + 6\/u. What is the nearest to p in 2, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-15)\/(-9) - 2). Let x be (-2)\/2 - t*2. Suppose -3*g + 20 = -2*k + 4*k, -x*g = 5*k - 45. What is the least common multiple of k and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - 2*i**2 + 7. Let z be h(0). Let j(s) = -6*s**3 + 6*s**2 + 6. Let k(f) = -5*f**3 + 6*f**2 + 7. Let c(y) = z*k(y) - 6*j(y). What is c(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24348, 14995, -10390, -59823, -141320, -262897, -432570, -658355?\n\"Answer: -1336*j**3 - j + 25685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5 + (1 + sqrt(13) + -2 - sqrt(208)*3))*-6*5)**2.\nAnswer: 120120*sqrt(13) + 1448824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 422611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:32 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, 644, 830, 1020, 1214, 1412, 1614?\nAnswer: 1820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1097163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733140 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4374772157 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 0.5, -1.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 89024 and 1456.\nAnswer: 623168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1893.9 - -1894. Which is bigger: m or -0.07937?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25655.322 to the nearest 100.\nAnswer: -25700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*z - 16 = 0, w + 22 = 6*w + 3*z. Find the third derivative of -4*o**5 - 4*o**2 + o**2 + 0*o**w + 3*o**5 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**2 + 35062*k + 280560 = 0.\nAnswer: -8, 35070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/12*123\/4. Does 50 divide s - -770 - (2 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 1, x: 2, f: 2, q: 1, s: 2}. Give prob of sequence qx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(1\/46)*((d**1*d)\/d*d)**(-49) assuming d is positive.\nAnswer: d**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 s, and 1 l when three letters picked without replacement from {l: 4, w: 9, d: 2, s: 4, z: 1}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 0*n + 2*n)*(-57*n + 7*n + 8*n + (-3*n + n + 0*n)*(-2 + 1 + 0))*(0*n + n + n).\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 6*u**2 - 2*u**2)*(-5*u - 4*u + 0*u).\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - g + 13 = 0, 0 = j + 3*g - 77 + 70 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4617*a - 103*a + 6797*a - 725*a.\nAnswer: 10586*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1343409 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.47158 years to decades.\nAnswer: 4.947158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 - (-20 + -5 + 15). Sort 22, k, -0.5.\nAnswer: k, -0.5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 1. Let f(o) = 7*o + 3. Let z be f(g). Find the common denominator of 17\/7 and z\/((-3)\/9*-22).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 21. Let l = -8 - q. Let n = -4 + l. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*x + 937 + 1259 = 0, -5*x + 1088 = i. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 34*g**3 + 0*g**4 - 7*g**4 - 9*g + 40*g**3 - 2*g**4 + 3*g**5 + 6*g**2.\nAnswer: 3*(g - 1)**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 + 3*d + 2. Let w be 0 + 3 - (-2 + 7). Let m be h(w). Let i be m\/8*-2*-3. Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -446 (base 12) to base 5.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(63))**2 + 3 + 3.\nAnswer: -210 - 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or 26\/7?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j - 4*l = -72, 0 = 2*j + 2*l - 64. Let x = -25 + j. Suppose x*k = -9 - 0. Sort k, 3, -1\/2.\nAnswer: k, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000 (base 2) to base 9.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19947.000022153 - 19947. Round h to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -339*j - 241*j + 70*j - 304*j to the form u + y*j and give y.\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2*-66*(-53)\/244860?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.05473 decades in years?\nAnswer: 30.5473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.07, 1, 4, 2\/67 in ascending order.\nAnswer: 2\/67, 0.07, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxzdxzdxuxsxsvxzxuz. Give prob of sequence xx.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17696.72205 - -17697. What is f rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 440 + -441. Let s(o) = -o + 3. Let h be s(-5). Sort h, u, 3, -2 in ascending order.\nAnswer: -2, u, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**3 + n. Let p be t(-1). Let k(s) = -4*s**p - s + 7 - 3*s + 3*s**2. Let d = -86 + 81. Give k(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -11*q - 45. Suppose 12*p = 16*p. Which is the closest to -2\/5? (a) p (b) -0.5 (c) -10 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(30\/4))\/(-85*122\/1114775).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2736) + 3 - (sqrt(2736) - (sqrt(2736) + 2)*-4)) + ((sqrt(2736) + 3)*5 + sqrt(2736) - (-5 + 2*sqrt(2736))))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1)*(-5 + 4). Let l be x\/(-2)*0\/3. Suppose l = 2*k + 2*k. Solve -1 = -g - k for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ize when three letters picked without replacement from {e: 7, a: 1, i: 4, z: 2, w: 1}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m - 3. Let i(a) = 18*a - 19. Let w(t) = 9*t - 9. Let f(d) = 2*i(d) - 5*w(d). Let v be 10\/6 - (-78)\/18. Determine v*f(g) + 14*p(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -24\/5357495?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 2 d when four letters picked without replacement from dzcgcmdzwmmm?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x + 322*x - 164*x - 165*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 17, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -734*w**3 - 4681*w**4 + 1334 - 742*w**3 + 1476*w**3 with respect to w.\nAnswer: -18724*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18814 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**9\/a*a)\/a)\/(((a**(2\/7)*a)\/a*a)\/a))\/(a**(-11)*a**(-5\/3)))**(-2\/55) assuming a is positive.\nAnswer: a**(-898\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2727*c. Let n(t) = t. What is q(n(l))?\nAnswer: 2727*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + k**5 - 2*k**5 + 3 + 42*k**5 - 43*k**5 - k + 0*k + (2*k - 6*k + 2*k)*(-11*k**4 - 2*k**4 + 2*k**4).\nAnswer: 20*k**5 - k - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 177915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -143*r - 4*r**3 + 122*r + 43 + 3*r**3 + 20*r**2. Let s be u(19). Solve -b - s = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -66*i**2 + i. Let a(o) = 565*o**2. What is q(a(z))?\nAnswer: -21068850*z**4 + 565*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -18. Let y(f) = -f**2 + f - 1. Let x(b) = -b**3 - 4*b**2 + 4*b - 3. Let z be 0\/(1 - -1) - -2. Let d(q) = i*y(q) + z*x(q). What is d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = 2*q, -5*p + 2*q + 2*q - 10 = 0. Suppose 0 = 3*m - 2*m. Suppose 2*i + 12 = -5*d - 11, 0 = -3*d - 5*i - 10. Sort p, 3, d, m in descending order.\nAnswer: 3, p, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 12:02 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*p + 2 - 3*p**2 + 30*p - 15*p in the form s*p**2 + x*p + b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - 18161 - 2*q**2 + q**3 + 19552 + 3*q as b + u*q + k*q**2 + t*q**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqrereqr. What is prob of picking 2 r and 2 e?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -5*w**4\/6 - 161*w**3\/2 - 6192*w**2 + 11617*w. Differentiate k(b) with respect to b.\nAnswer: -20*b - 483","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -202, -159, -116?\n\"Answer: 43*b - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (53 - 13 - 2 - 13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = 7*m - 2*m. Suppose 23*n + 396 = n. Let c = m + n. Solve 4*y + 19 = -3*l, 4*l - 5*y + 0*y - c = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 3*l**2 - 3*l. Let y(f) = 4*f**3 - 13*f**2 + 13*f. Let m(x) = -4*x - 10. Let c = -290 + 281. Let n be m(c). What is n*b(s) + 6*y(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/2884 and 57\/5047.\nAnswer: 20188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idwdhddwd. What is prob of sequence dhdw?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*v**4 - 6785*v**3 - 175*v - 35963898 wrt v.\nAnswer: -124*v**3 - 20355*v**2 - 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40123 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.15185160288+5.888\nAnswer: 6.03985160288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - o + 11780. Let y be c(0). Suppose -2*g - 4*q + y = 0, -5*g = 5*q - 0*q - 29445. Let j be (g\/(-6))\/(8\/37500). Round j to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtqqttwtqpqqwqttqp. What is prob of picking 1 t and 2 p?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -247561?\nAnswer: -32\/247561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6063510 and -2?\nAnswer: 12127020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 4, f: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 691. Let z = r - 485. Let h = z - 209.00099. Round h to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4290 divided by 5.\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*5\/20*2\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 107*j - 1018. Let u be s(-61). Let m be (-3)\/(-6) + 8381\/(-2). Let g = u - m. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 40. Suppose -2*q + 8 = 2*q. Solve b = m - q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3820*s - 99322. What is i(26)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/36 and -23\/700.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 + 2 = 0. Let m = t - -8. Let s = -2.96 - 0.04. Sort s, m, 2\/19.\nAnswer: s, 2\/19, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12624\/5 - 2524. Which is the fourth biggest value? (a) 3 (b) 2 (c) v (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 22 - 44. Let b = -18 - y. Solve 9 = -b*g + 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445*g + 449*g = 80. Suppose 2*u - 10 = -0*u. Suppose u*s - 9*s = -g. Solve -15 = -o - 3*j, -3*o - j + 0 = -s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110102 + 6?\nAnswer: -110096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -59 (b) -4\/327 (c) -1 (d) -101 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g + 0*g)*(15*g**3 - 12*g**3 - 7*g**4 + 9 + 5*g**4).\nAnswer: -6*g**5 + 9*g**4 + 27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10001010011110?\nAnswer: -10001010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.07045 and 8983.\nAnswer: 8982.92955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*v - 205, -3*v + 8*v - 131 = -3*x. Let j(y) = y**3 + 15*y**2 + 12*y - 18. What is the remainder when x is divided by j(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*n**2 - 14814*n + 2031987.\nAnswer: 3*(3*n - 823)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-20) + 295\/(-50))\/(4\/(-8)). Solve 7 = -2*j - 3*s, j + f = -s + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -4021\nAnswer: -3618.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmsmmmgbs. What is prob of picking 1 b and 1 s?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -1788?\nAnswer: -1788.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12012031*m**3 - m**2 - 2*m + 581433.\nAnswer: -72072186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 15*u**4 + 33*u**3 - 300*u**2 + 252*u = 0?\nAnswer: -6, 0, 1, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 199\/3 or 66?\nAnswer: 199\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 542*x = -540*x - 6, -3*v - 1 = -2*x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4912978852.\nAnswer: 2, 17, 59, 317, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29598073*w**2 + 10349653?\nAnswer: -59196146*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 662144 and 968576?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1201*p**3 + 5*p**2 - p + 5. Suppose 5*w = w + 20. Let r be u(w). Round r to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 34 = 6 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -5*g**3 + 0*g**2 + 6*g**2 + 0*g**2 - 3*g**4 + 2*g**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrbaajuf. What is prob of sequence fbj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 5*a**2 - 9*a - 2. Calculate the remainder when 46 is divided by d(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 166 - -91?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3872355 by 774471.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011100111101101 (base 2) in base 4?\nAnswer: -1003213231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -50.7 and -76227.905.\nAnswer: -76278.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 189*n - 72. Let r be d(4). Suppose -11*a - 7*a + r = 0. What is the greatest common divisor of a and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24376.6 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7139.617 millimeters in nanometers?\nAnswer: 7139617000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 3. Let w(u) = 3*u**2 + 410*u + 15. Calculate -5*j(h) + w(h).\nAnswer: 3*h**2 + 405*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 936 = 3*j - 243. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1865948 and 49\/337.\nAnswer: 628824476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 607619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 5*d + 23 + 15, -3*h = d + 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4.7 (b) -0.5 (c) 3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/9, 1\/5, -7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 125. Let h = 114 - m. Is (-1 - 44)*(3 - 343\/h) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 361 + -291. What is the remainder when m is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 16*j**3 + 4*j**2 + 160*j - 150.\nAnswer: 2*(j - 5)**2*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 27. Let f be (180\/27)\/(2\/3). Let i be j(f). Solve -3*d + 16 = -2*k, -3*k = i*d + 2*k + 19 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {t: 5, f: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524366 is divided by 1619?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -710125*t**2. Let s(j) = -1603*j**2. Give 1330*s(f) - 3*u(f).\nAnswer: -1615*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9640577*j**2 - 1646*j - 1123?\nAnswer: 19281154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3799 is divided by 225?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/11 + 73*u**2\/11 - 342*u\/11 + 81\/11.\nAnswer: -(u - 9)**2*(4*u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2 + (-3)\/(-2)). Suppose -g + 2*g = h. Let d = -5 + g. Which is smaller: 2\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 18, q: 1}. What is prob of sequence nn?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 311 and -23.0328?\nAnswer: 334.0328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 93*n - 1674. Give a(19).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 5, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269 = 60*s - 331 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 31, -346 in ascending order.\nAnswer: -346, -4, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*h**2*s**2 - 37*h**2 + h*s + 3*h - 4*s**2 wrt s.\nAnswer: -16*h**2*s + h - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -893, 1986, 6801, 13564, 22287, 32982, 45661, 60336?\n\"Answer: 2*m**3 + 956*m**2 - 3*m - 1848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 10:45 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8539, -68480, -231239, -548224, -1070843, -1850504, -2938615?\n\"Answer: -8568*n**3 - n**2 + 38*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w - 51*w - 36 = 0. Put -1, 5, -5, w in ascending order.\nAnswer: -5, -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2*f - 5*f)*(2 - 3 + 3) + (4*f + 0*f - 2*f)*(1 - 2 - 1) - f + 3*f + 3*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(128) + -2*sqrt(128)*5)*1)\/(sqrt(400)*2*-5*-4).\nAnswer: -9*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5169 - -5168.0017. Let o = 1.053 + n. What is o rounded to three decimal places?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 302111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - 0. Let l = 41\/360 - -1\/90. Which is the nearest to -2\/5? (a) l (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, 481, 1045, 1665, 2335, 3049, 3801?\n\"Answer: -g**3 + 37*g**2 + 398*g - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvr when three letters picked without replacement from {h: 5, r: 2, v: 7}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**4\/6 + h**3\/2 + 2*h**2 - 6*h. Let t be b(4). Let w = 31 + t. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3226 or -3221?\nAnswer: -3221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2\/3, -7\/4 in decreasing order.\nAnswer: -2\/3, -7\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194598 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:32 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 60 = 2*m. Let c be (-1)\/(-6) + (-58)\/m. Is 5 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107054 or 108743?\nAnswer: 107054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 180*k.\nAnswer: -180*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2*v + 0*v**4 + 1\/5*v**5 + 0*v**3 + 0*v**2 - 1. What is the derivative of i(h) wrt h?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432032 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7*k**3 + 3 - 2*k**4 - 1948*k**2 + 1947*k**2 + 7*k to the form s*k**3 + g*k + l*k**4 + i*k**2 + d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 134*u - 373*u - 38*u + 0 to s + m*u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3300\/(-1350)*270\/(-99). What is w in 2\/3*w**2 + 0 + c*w = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, l: 2, a: 2, s: 2, v: 3}. Give prob of sequence ol.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -494965, -492418, -489871?\n\"Answer: 2547*t - 497512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 5.\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 329 = -9. What is the greatest common factor of 185 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = 2*k, 0 = -3*k - 4*j + 10 - 2. Suppose 4*m + k*t - 59 = -t, -48 = -3*m - 2*t. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let n = -8213 + 8218. Which is the closest to -7? (a) n (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 5\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -408 divided by -136\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18)\/(-80)*((-2)\/(-465))\/(96\/10200) and 41\/248.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o**2 - 2*o - 9*o**2 + 2*o.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b = 16. Let k(v) = -v + 6*v - v - 1 - 2*v. Let o be k(1). What is the smallest value in 5, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 3. Let u be 5 + -1*(-79)\/(-8). Let l = -27\/8 - u. Put -2\/5, x, l in descending order.\nAnswer: l, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3*t - 7)*(0 + 2 - 4)*(4 - 21 - 12).\nAnswer: 174*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000393799 rounded to five decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 5*s + 3. Let a be x(7). Suppose 0 = 4*r + 4*r. Let k = r - a. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**5 + v**2. Let n(u) = 6*u**5 + 11*u**2. Let a(o) = 5*i(o) - n(o). What is the third derivative of a(b) wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 14. Let i be a(4). Suppose 0 = m - 3*q - 6, -i*q - 53 = -3*m - 0*q. Calculate the remainder when 61 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392*j**2 + 81*j**2 + 1530*j - 2734*j + 1204*j.\nAnswer: -311*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190686 and 27633.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2 + u**2 - 17*u - 7 - 132*u**3 + 4. Let z be o(-7). Let l = z + -108488. What is l rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlllj. What is prob of sequence jl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/45)\/(158\/(-790))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100001100110100011011 (base 2) to base 10.\nAnswer: -5295387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let t(o) = -7*o. Let p(q) = -6*n(q) + t(q). Let d(g) be the third derivative of -g**5\/30 - 2*g**2. What is p(d(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18694\/3 + 6319. Let y = -87 + n. Let i = 1 - 1.1. Which is the closest to i? (a) y (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1, -0.09, 2, -1300?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50545 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 11 = 5*c + 31, -7*c = 2*w + 28 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = d - 89, -4*d = -i + 3 - 2. Let q(b) = -2*b**3 + 21*b**2 - 8*b - 6. Let y be q(10). Let r(m) = y - 83*m - i + 3. Let k(g) = g**2. What is k(r(h))?\nAnswer: 6889*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 8. Suppose m + 7 = -c*b, -m = 2*b + 4 - 1. What is the smallest common multiple of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 1557059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -85.4. Which is the closest to -2\/3? (a) -0.1 (b) x (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, c: 11, q: 3}. Give prob of picking 2 c.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 2313424?\nAnswer: 2313442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -6 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((378\/(-12))\/(-7))\/(12\/1696). Let q = -339 + v. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + 108. What is the greatest common divisor of 72 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k - 46 = -47*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 11:15 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2263830190?\nAnswer: 2, 5, 29, 7806311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/11 + 2132*d**2\/11 + 163480*d\/11 - 245997200\/11 = 0.\nAnswer: -670, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -20*a**2 + 3*a. Let v(m) = m + 77. Give u(v(l)).\nAnswer: -20*l**2 - 3077*l - 118349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 78, 0, -1, 40, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5207 and 1624871.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106.65 - -2.35. Let o = z + -72. Let m = -35.3 + o. Round m to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*v - 10445, -f - 10445 = 7*v - 2*v. Let k = -954 - v. Does 29 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -138, 4, -6\/23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/227313 + 20230333\/59556006. Find the common denominator of y and -23\/20.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, -63, 0 in decreasing order.\nAnswer: 13, 0, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01166603 to five dps.\nAnswer: -0.01167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9284736, 18569466, 27854196, 37138926?\nAnswer: 46423656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/4 - 4155*d\/4 + 18657\/2 = 0 for d.\nAnswer: 9, 4146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 + 8*u - 11. Let m be l(5). Suppose -5*k - 12 - m*k + 8*k**2 - 7*k**2 + 2 = 0. What is k?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2477320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34169722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 5 + -3 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 4:37 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1736 = 23*d + 47*d - 14*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -92. What is the second derivative of -39*m + 16*m**4 - 2*m**4 - o*m wrt m?\nAnswer: 168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921682 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**6\/7 + 52*g**5\/35 + 13*g**4\/14 - 52*g**3\/21 - 16*g**2\/7 + 45. Find u such that j(u) = 0.\nAnswer: -8, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158\/817 - -5\/19. Let o = -44\/1247 + t. Is 1 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*l + l + 10, 2*l - 2 = 0. Suppose -m - 15 = -0*w - 5*w, 4*w + 12 = -4*m. Let v = m + 10. Solve 2*b - c*q - 6 = 2*q, -4*q = -v*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16942*s**3 - 611*s + 610*s - 16272*s**3.\nAnswer: 670*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -26, 1\/5, -0.4, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2)*h*h)\/h*h*h)\/(h**(1\/2)\/h)*(h*h\/h**(-1)*h)**47)\/((h*h**(2\/9))**(-18\/5)*h**(1\/3)\/h**4) assuming h is positive.\nAnswer: h**(5927\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12393.979 and -8463.\nAnswer: 3930.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*g - 3. Suppose 3*l - g - 20 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l*l)**(2\/17)\/(((l**(-1)\/l)\/l)\/l**(3\/5)) assuming l is positive.\nAnswer: l**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244650 divided by 1050.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 3:01 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*p - 436 - 459 = 0, 2*p + 590 = -2*l. Let k = 215 + l. Is -76 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, -472, -1824, -4456, -8794, -15264, -24292, -36304?\nAnswer: -51726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -968, -1935, -2912, -3905, -4920, -5963?\nAnswer: -7040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j**3\/2 + 15*j**2\/2 + j = 0. What is j?\nAnswer: -2\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 21 + 753*o + 78 - 25.\nAnswer: 753*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -59*u + 76*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/f)\/f*f**(-5\/6)*f assuming f is positive.\nAnswer: f**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i**(9\/5)\/i*i*(i*i**(-5\/8))\/(((i**(-4)\/i*i*i)\/i)\/i) assuming i is positive.\nAnswer: i**(287\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/3)\/(3\/9). What is the units digit of -2*13*4\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w - 5. Determine j(-12).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 5207868.9241.\nAnswer: 5207868.8241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*c - 18 = 0, 2*c - 7 - 3 = -l. Suppose 5*u - 5*p - 65 = -0*u, 0 = -p - l. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 3*p + 24, 0 = u + 4*u - p - 16. Let z be (-3 - (-1 - -1)) + u. Let x = 3 - 2.6. What is the second biggest value in z, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-28)*8694\/2070?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 165673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (1 - (0 - 0)). Let a = g + 8. Suppose -33*o - 4*o = 37. Is o <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + c**2 + 6*c**2 - 8*c**2.\nAnswer: -2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + 18)\/((-30)\/4*-1). Put -0.08, 4, n in increasing order.\nAnswer: -0.08, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*k**3*z**2 + k**2*z**3 + 56*k*z**3 - 10*k*z wrt k?\nAnswer: -438*k*z**2 + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 10. Let m be a(11). Let b be -4 + m - (-81)\/9. Suppose 3*i - 350 = -b*y + 4*y, i - 124 = 3*y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 65*w**2 + 48*w - 1019. Let k be g(-64). Solve 138*z = 133*z + k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 603*r + 539*r - 2 - 804*r to the form c*r + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 42220249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350448595 and 7910?\nAnswer: 3955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11002 is divided by 52?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.135 + -0.035. Let r(x) = x**2 + 14*x + 14. Let u be r(-14). Suppose -3*o + 7 = -c - u, o - 3*c - 7 = 0. What is the biggest value in o, -5, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34225.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.44555 microseconds to minutes.\nAnswer: 0.0000014240925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 43*v = 136. What is the first derivative of 36 - v + 92 + 41 - 110*p**2 wrt p?\nAnswer: -220*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -22*y**2 + 318*y + 1286. What is s(-4)?\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 727.1 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kurkrkrkukrrr. Give prob of sequence kk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(390)*-2)\/sqrt(10))\/sqrt(3)*-2 - (sqrt(13)*4 + -2)*2*4)*-3)**2.\nAnswer: -8064*sqrt(13) + 94032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(847))**2 + 0.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.8 + 29. Let h = 0.1 + -0.1. Let l = 1 + h. Which is the second smallest value? (a) l (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*((-60)\/300)\/(9\/(-15))*6\/(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -22.3. Let i = 1.3 - b. What is the biggest value in 4, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031733235 to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 72554 from 204582.49.\nAnswer: 132028.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -91*t**2 + 5*t - 5. Let j(m) = m**2 - m + 1. Determine -5*j(g) - w(g).\nAnswer: 86*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 6*l**2 - 5*l + 3. Let d be t(5). Suppose -d*m + 41 = g, m = -g - m + 37. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Let n(r) = -3 - r**2 + 0*r**2 + 3*r - 2*r + g*r. Let v be n(2). Let d(s) = 5*s - 1. Give d(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 + 113. Suppose v*l - 15 = 18*l. Suppose l*s - 89 = 5*x, 5*s - 2*x - 167 = -3*x. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w. Let p be u(-1). Suppose -2*y + p = -16. What is the remainder when y is divided by (-2 + 5)\/((-4)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((1 - 5) + 2 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b + 5. Let r = 0 - b. Round r to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2858*b**2 - 58*b + 7. Is o(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124 - 3?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3202, 13435, 30492, 54373, 85078, 122607, 166960?\n\"Answer: 3412*z**2 - 3*z - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**7\/105 + 27*z**6\/20 + 11*z**5\/2 + 83*z**4\/12 + 1590*z**2. Factor r(u).\nAnswer: -2*u*(u - 83)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56044*k**3 + 60493*k**3 + 3*k - 3*k.\nAnswer: 116537*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(7) + 3 + (sqrt(3) + 0)*6 + sqrt(9)\/(sqrt(6)\/sqrt(2))*5 + -2)**2.\nAnswer: 24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 9*f + 11*f - 4*f + 0*f. Let l(i) = -132*i - 4 + 133*i + 4. Give l(r(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/425 and 49\/935.\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**3*x**3 - 13646*q**3*x**2 - 2*q**2*x - q*x**3 - 75*q*x**2 + 17*q*x + 2*x**2 wrt q.\nAnswer: 12*x**3 - 81876*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32097 - 354*x**2 + 32097 + 4636*x**2.\nAnswer: 4282*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**4\/4 + l**3 - l**2\/2 - 4*l + 2. Suppose -4 = -w - c, 10*c - 5*c - 11 = -2*w. Let k be 1 + -3 + w\/(-3). Determine j(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -4*m - 2*f, 3*m + 2*f = -2*f + 226. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9478 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/15)\/a)**2\/(a**(-4)\/(((a*a**(-11))\/a)\/a)) assuming a is positive.\nAnswer: a**(-154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuugkkpspksxsskuuxgk. Give prob of sequence ug.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/2568)\/(-3 + (-24)\/(-9)). Which is greater: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/(-31))\/(-2 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -49*q**3 - 17. Let v(p) = 145*p**3 + 52. Let l(o) = -17*f(o) - 6*v(o). Differentiate l(c) wrt c.\nAnswer: -111*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-7)\/(56\/(-8)))*(-8)\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 783 divide 240465564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1\/4, 2, 0.03, -71 in decreasing order.\nAnswer: 2, 1\/4, 0.03, -3\/7, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (50\/(-6))\/((-11)\/(-33)). Let q be 2\/(-5) - 85\/a. Suppose -h - q*h = -4. Solve 0 = -x - h - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680542 and 3914.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1626702 by -42.\nAnswer: -38731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1033, 1815, 2599, 3385?\n\"Answer: i**2 + 779*i + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 2, d: 1, g: 1, s: 1, k: 2}. What is prob of sequence dqgk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 24 = -5*b. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = -g + 5*a, -4*a + 3 = 5*g. What are the prime factors of 1\/(g + 132\/(-45))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, g: 2, x: 2, j: 2, f: 4, p: 1}. What is prob of picking 1 f, 1 g, and 1 x?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(1*sqrt(512))*-1)\/(-2*(sqrt(441) + 3*3*sqrt(441))).\nAnswer: sqrt(5)\/1120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0755 + 3?\nAnswer: 4.0755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*m = -666*m - 12 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*s**2 + 200*s**2 + 404*s**2.\nAnswer: 513*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 346340963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -3 - 6 - 4 - 8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11*3\/(-6)*96\/(-88)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 367, 1496, 3377, 6010, 9395, 13532?\n\"Answer: 376*r**2 + r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15420990218\/535 - -28824678. Let n = 1986\/5 - w. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -21*v + 1. Let m be x(-1). Let f(z) = -z - 1. Let y be f(-3). What is the highest common factor of m and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3510)\/728 + (-90)\/(-84)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) 0.1 (c) -1\/5 (d) -7\/5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60579, -60536, -60483, -60414, -60323, -60204, -60051?\nAnswer: -59858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05240303 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0\/w)**(1\/19))**(2\/71) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by 55.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 6 - (-202)\/70. Let w = h + -2\/7. Put 5, w, -0.5 in increasing order.\nAnswer: -0.5, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**5 - 6*m**3 + 6*m. Let v(q) = -9*q**5 - 13*q**3 + 11*q. Let t(d) = -13*i(d) + 6*v(d). What is the second derivative of t(h) wrt h?\nAnswer: 220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53*v**4 + 2*v**3 - 167.\nAnswer: 212*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(250)\/sqrt(5) - sqrt(50))\/(1*sqrt(40)).\nAnswer: -3*sqrt(5)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6198 - -6211. Solve -7*d - 41 = -r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**7\/420 + q**6\/120 - q**5\/40 - q**4\/6 - q**3\/3 + 18*q**2. Determine d, given that h(d) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4001413210 (base 5) to base 8.\nAnswer: 35723620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -765349, -765524, -765699, -765874, -766049?\nAnswer: -766224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**3 - 5*y**2 - y**2 + 2*y**2 + 2*y**5 - 8*y**4.\nAnswer: 2*y**2*(y - 2)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 10*h - 5. Let y(m) = -m**2 + 9*m + 6. Let o(z) = -3*f(z) - 2*y(z). Is o(7) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 295310 divided by 59062\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119394 divided by -594.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5095*j + 5092*j + 101 = 4*r, 193 = 7*r + 2*j for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1135550 - 306?\nAnswer: 1135242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*s - 21, -11 = 3*w + s - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 1192001*u**3 - u - 3*u + 1191998*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 16) to base 12\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-26) - 12\/78. Suppose -3 = -u - 3*v, -2*u - z*u = v - 1. Let d be u\/(2\/6*3). Solve b - 3*q + 17 = 0, -4*b - 4*q - 4 = -d*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -56.000046. Round l to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 8, 4, -1, 2 in descending order.\nAnswer: 8, 4, 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/139237 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 4*k - 4*k)*(6 - 3 - 2)*(0*k**4 + 4*k**4 + 4*k**4).\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-2\/11)\/z)\/z*z)\/z*z)**(6\/5)\/((z\/z**(-6\/11))\/(z**(-24)*z)) assuming z is positive.\nAnswer: z**(-1362\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(7854\/136))\/((-4)\/(-70))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 = -47*x + 222 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let u = -8 + 22. Let r = u + -11. Solve -1 = 5*t - 2*b + 2, -r*t - h = -2*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*a - 4, -3*n + a + 4 = -3*a. Suppose -11*w + 6*w - 75 = n. What is the tens digit of w\/(1 + 4) - -171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 1129424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7665, 61482, 207627, 492264, 961557, 1661670?\nAnswer: 2638767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14511\/10568 - -5\/2642. Let c = 0 + 3. Suppose -7*y + 4 = -c*y. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {w: 1, k: 4, s: 1, y: 1, x: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.5, -8, -3, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -119, -239, -359?\n\"Answer: -120*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 - 2 + 1 + o**3 + 3. Let w be b(-3). Suppose -w*y + 4*y - 22 = -2*j, 3*j - 17 = 5*y. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*i - 2\/3*i**2 + 8\/3*i**3 - 8\/3*i**5 + 2\/3*i**4 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.73 + 0.27. Let m = w + -16.4. Which is the closest to 0.2? (a) 0.3 (b) m (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 159*w**2. Let x(a) = -413*a**2 + 49*a. Calculate x(r(z)).\nAnswer: -10441053*z**4 + 7791*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5890*a**6 + 8*a**2 - a + 52.\nAnswer: 706800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**3 + 25*k**2 - 19*k - 8. Let q(d) = 3*d**3 - 12*d**2 + 9*d + 4. Let b(r) = 2*i(r) + 5*q(r). What is the remainder when b(10) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) - 26\/7. Let y(i) = -3*i + 2*i + 2 - 3*i + 3*i. Calculate y(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549229512 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.352 * 11533\nAnswer: -4059.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.3 - -14. Which is the nearest to -1\/2? (a) g (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23843827 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1354*x + 41503 + 28905 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20530.714794 rounded to the nearest 10?\nAnswer: 20530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(425) + sqrt(425) + -5 - (sqrt(425) + -5 + 2*sqrt(425) + sqrt(425)))*5*-1*2)**2 + 2.\nAnswer: 2000*sqrt(17) + 170102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 12*q + 94. Let k = q + -76. Let b = 26 - 24. What is the greatest common divisor of b and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 695, 694, 693?\n\"Answer: -h + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 588269.418 and -0.2.\nAnswer: -117653.8836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5586138 - 5586148.300134. Let s = q - -10.3. Round s to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -21*y**2. Let i(w) be the second derivative of -34*w**3 + 6659*w. Determine s(i(j)).\nAnswer: -873936*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j = -h + 8, -2*j + 2*h = 0. Solve 3 = -3*y - j*q - 3, 8 = -4*y + 2*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*r - 11 = 0, 0*q - 4*q + 14 = 2*r. Let y(n) = n + 9. Let k be y(-4). Factor 27*a**4 + 9*a**5 - 10*a**5 + 11*a**2 - 36*a**q + a**2 - 5*a**k.\nAnswer: -3*a**2*(a - 2)**2*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.077 (b) 863.9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44233895 - -44234079.949838. Let c = -0.933638 + g. Let u = 184 - c. What is u rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:38 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.1. Let s = -556 - -555.7. Let v(i) = i - 2. Let y be v(0). Which is the nearest to -2? (a) s (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4 - 180768*s**3 - 4084272176*s**2 + 16339257984*s - 16339981088 = 0.\nAnswer: -45194, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -33*p + 28*p. Let m(v) = -11*v**2 + v**2 + 27*v - 18*v + 4 - v**3. Let j be m(-11). Put p, -1, j in increasing order.\nAnswer: -1, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0.4. Let j = 0.2 + b. Let r = j + 0.023. What is r rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*q - 5. Suppose -q*g + 5 + 15 = 0. Calculate the lowest common multiple of -2 + g - (0 - -1) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4)\/(1 + 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 5. Let d(m) = m**3 + 2*m**2 - m + 6. Calculate the least common multiple of d(0) and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -16\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8451860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from oonaxxpq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -100363, -1, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*4\/8 + 74\/(-28). What is the third smallest value in 0.4, 0.1, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -148\/3 and -2.78 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/21 - (-2)\/6. Is -1 + (2 + h)*6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 2\/11*f**3 + 1\/22*f**4 + 2\/11*f + 3\/11*f**2 - 3. Factor d(w).\nAnswer: 2*(w + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -1403.\nAnswer: -26\/1403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2 - 11096208*c + 33288651 = 0.\nAnswer: -3698739, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or 2966?\nAnswer: 2966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14396?\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Suppose -3 = -z, -j - 5*z + 6 = -a*z. Is (-1734)\/(-15) + j\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in 4, -10, 0.1362?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20562.168 + -20562. Sort b, -1\/3, -1\/4.\nAnswer: -1\/3, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153813281 is divided by 61?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2500\/(-57000)*36*(-76)\/1.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 - -0.85. Let u = a - -0.05. Which is smaller: -0.2 or u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 9*a**2 - 25*a - 227. What is i(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17286996 is divided by 8643491.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**6\/120 - 13*s**5\/30 + 9*s**4\/8 + s**3\/3 - 25*s**2. Let i be h(-27). Solve -3*f = i*f + 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121200 (base 3) to base 10.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(3\/7)\/w)*w))\/w**(9\/4))\/(w**(5\/9))**(-10) assuming w is positive.\nAnswer: w**(437\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 2, y: 2, c: 2, u: 1, t: 4}. Give prob of picking 1 u and 2 c.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -3 - 2) + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119.01 + -118. Let i = 0.81 - q. Which is the second biggest value? (a) 11 (b) 2\/23 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-3*j**2 - 6*j**2 + 4*j**2).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 8*p**2 - 3*p + 7. Let h be s(7). Let w = 15 - h. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 6. Let d be (-8)\/(-3)*(-3)\/(-2). Let x(h) = -h + 3. Let a(r) = d*n(r) + 10*x(r). Let m(p) = -2*p + 5. Calculate 5*a(v) - 6*m(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 + 3*n**2 - 3*n + 3. Let b(z) = z**3 + z - 1. Suppose -6*f + 7*f - 4 = 0. Let d(u) = f*b(u) + g(u). Determine d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 2*m. Suppose -m = -2*u + 3. What is the remainder when -4*((-86)\/8 + 9) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2110 (base 3) to base 2\nAnswer: 1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -l + 6, l - 11*y + 7*y - 9 = 0. Solve 16 = -4*m + 4*v, v + 22 - 32 = -l*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1350461272 to the nearest integer?\nAnswer: 36749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**7\/5040 + c**6\/360 - 23*c**5\/20 - 38*c**2. Let a(u) be the third derivative of i(u). Give a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) -5 (c) -5\/69 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5\/3 - 104*v**4\/3 + 710*v**3 - 3808*v**2\/3 - 46840*v\/3 - 13600 = 0.\nAnswer: -68, -3, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7646 or -7650?\nAnswer: -7646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 124322 (base 5) in base 8?\nAnswer: 11542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 39 = -101. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*k - 3*p - 6, -p = 2*k - 4. Let h(i) = -i - 24. Let m be h(0). What is the common denominator of 2*33\/m*k and -39\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4079258 from -7.\nAnswer: -4079265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -85*s + 5954. Let k be g(70). Let u = 16.4 + -0.4. What is the nearest to 5 in k, -0.3, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**5\/20 - z**4\/2 - 3*z**3 + 10*z**2 + 2*z - 7. Let m be c(8). Let h(t) = t**2. Calculate h(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)\/((-1)\/68). Suppose -6*j = -t - 2*j + 25, j = 5*t - q. Suppose 0 = -9*l + 3*l + 174. Calculate the remainder when l is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3949735 divided by 3?\nAnswer: 3949735\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/12 + -47\/84. Let n = -0.36 + -0.04. Let o = -0.6 + n. What is the closest to 0 in -1\/3, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-2 - -1 - -5). Let d(r) = r**3 - 3*r**2 + 4*r - 3. Let c be d(g). Let m be 9\/1*(-6)\/(-9). Solve c = -a + m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 0.1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (47 + 1085\/31)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -185*j**2 - j + 174*j**2 - 8*j + j + 1 + 7. Let u = -4 - -1. Let v(g) = 4*g**2 + 3*g - 3. Determine u*s(i) - 8*v(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9308 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 18*u + 17*u - 26 = 0, 4*u - 36 = -2*d. Let -d - 3*y**2 - 2*y**2 + 0*y**2 - 80*y + 65*y = 0. What is y?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 74, 136, 200?\n\"Answer: l**2 + 57*l - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 574 and 6?\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*(6*(2*sqrt(95)*2 + sqrt(95) - sqrt(95) - sqrt(95)))\/((sqrt(50)\/sqrt(2)*3 + sqrt(25))\/sqrt(5)))**2.\nAnswer: 6158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 9 = -31*y + 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**2. Let g(q) = 62*q - 4. Give n(g(d)).\nAnswer: -42284*d**2 + 5456*d - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(3\/38) - -3. Let d(q) = -4*q + q**2 - 18*q + m*q. Let a(l) = 5*l - l - 8 + 8. Give d(a(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4 + 5*k**2 - 3 + 6*k + 4 - 3. Let p(s) = 4*s**2 + 5*s - 6. Let y(v) = 5*b(v) - 6*p(v). Is 14 a factor of y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pepppppppppppppppp. What is prob of picking 3 p?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) - 147\/28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1153*o + 1 = -1155*o - 5*d, -d = 2*o - 11 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 4 - 6 + 289*i + 0 in the form j + l*i and give l.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 26. Suppose b + 3*a = -34, 2*b + 0*b + q*a = -65. Let w = 39 + b. Solve 0 = -5*g + 3*g + w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 35731 and 90.\nAnswer: 3215790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 19*w**2 - 17*w + 21. Let z be u(-18). Solve -3*r = 3*l + z + 12, -5*r = 3*l + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c. Let p(x) = 12*x. Let t = 57 - 66. Let r be (-10)\/4*(-78)\/65. Suppose u - 2*u - 6 = -3*b, 5*b + 4 = -r*u. Give b*p(v) + t*d(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-three quarters of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 7*y + 2 - y**2 + 6*y - 8*y. Let u be o(6). Suppose -62 = u*l - 3*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 16*z**4 + 140*z**3 - 8116*z**2 - 6188*z + 2052 = 0.\nAnswer: -27, -1, 1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -877 (b) 0 (c) 0.8 (d) -0.5 (e) -35.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -855 - -873. Suppose 0 = -33*p - z*p + 153. Sort p, -43, 1 in descending order.\nAnswer: p, 1, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1565\/(-13146) - (-25622)\/(-3864)\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12 + 4 + 3 - i - 19. Let g(o) = -12. Determine b(x) - g(x).\nAnswer: -x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 take away -10272670.93?\nAnswer: 10272667.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, g: 7}. Give prob of picking 3 z and 1 g.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3330335*s - 10422177 wrt s.\nAnswer: -3330335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(-2\/45))*s**(-2\/103))\/((s*s*s*s*s**3)\/(s**(-38)\/s)) assuming s is positive.\nAnswer: s**(-208459\/4635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u - 8. Let p be (3\/10)\/((-6)\/u). Let s = 64\/5 + -586\/45. Sort s, -1, p.\nAnswer: -1, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*x**2 + 4*x - 72*x**2 - 1 - 4*x to the form h*x + u + y*x**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -104 - -1348094?\nAnswer: 1347b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4175 - -4175. Let 1\/3*q**3 + c + 0*q - q**4 - 1\/3*q**5 + q**2 = 0. Calculate q.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4720 * 6.5504.\nAnswer: 30917.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 6*c - 11. Let g be u(-8). Let f = g + 2. Let h = -46 - -67. Calculate the highest common divisor of h and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*x - 37 - 103, -m + 2*x = 143. Let w = m + 167. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290 + -289. Let t(w) be the third derivative of w**4\/2 - 5*w**2. Give t(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152110 is divided by 75?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 736?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -275475 by 11019.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 16*v - 28. Let m be c(-14). Suppose -2*q + 3*z - 7 = m, 0*q + q + 3*z - 19 = 0. Calculate the highest common factor of q and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + 0*m)*(-4 - 9 + 6 + (-4 + 3 + 2)*(2 + 4 - 5) - 5 - 3 + 1).\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 3*a**3 + 2*a**3)*(-1819 + 166 - 597 + 33).\nAnswer: -2217*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 137363*s**3 + 1760298?\nAnswer: 412089*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 81*q**2 + 36*q + 27. Determine t(41).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2485*n - 3 + 3881*n as r*n + z and give r.\nAnswer: 6366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2248.000002802 + -2248. What is i rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -35. Suppose -b*x + 415 = -129. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -58100282\nAnswer: 3\/58100282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59430636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 351 - 385. Let m be (25\/2*1)\/((-1)\/s). What is the greatest common divisor of 51 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**5\/20 + g**4\/2 - g**3\/2 - 2*g**2 + 2*g. Let c(x) = -5*x - 25. Let i be c(-4). What is the tens digit of h(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1267, -4807, -10199, -17029, -24883, -33347?\n\"Answer: 69*u**3 - 1340*u**2 - 3*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -z - d, -z - 3 = -16*d + 11*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 + (2 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 498676*i + 997361. What is u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 12:35 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4*(147\/5*(-10)\/15)\/((-656)\/820)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -47*h**7\/105 - h**3 - 242*h**2. What is the first derivative of y(n) wrt n?\nAnswer: -376*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -9*d**2 - 75*d + 1. Let o(w) = -8*w**2 - 59*w + 1. Determine -4*b(t) + 5*o(t).\nAnswer: -4*t**2 + 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76459 is divided by 75673?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102086 by 51043.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 14 + 12*k + 6*k - 8*k**2 + 10*k**2. Let x be f(-14). Let t = x + -5. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -3\/4 (c) -6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -164, -170?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26b543 (base 13) to base 10\nAnswer: 939019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 12*v + 45. Let n be -9 - ((1 - 1)\/1 - 0). Let m be k(n). What is the highest common factor of m and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1808885956 rounded to the nearest 100000?\nAnswer: 1808900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12*3\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 3, m: 2, q: 1, k: 6, f: 5}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w + 4. Determine d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - ((-23)\/(-2) - 11). Which is the nearest to s? (a) -2\/13 (b) -2\/7 (c) -10 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1469527248.12 and -0.5.\nAnswer: 1469527247.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.44 from 76451431.024.\nAnswer: 76451430.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 143506 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*g**2 - 69*g**2 + 0*g**2 in the form d + j*g**2 + f*g and give j.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 558755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 166770*c + 1390611645.\nAnswer: 5*(c + 16677)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2890\/1067339 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -7, -0.1, -0.2, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-30) + 3\/6.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (112\/(-64) - -2) + 5 + 1451195\/20.\nAnswer: 5, 23, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 1, q: 1, g: 1, m: 2, w: 1}. Give prob of picking 1 m and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -68, -136, 144 in decreasing order.\nAnswer: 144, 0, -68, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 4*c + 1 - 2 + 13*c. What is the units digit of p(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*l**4 - 10*l**4 - 3*l - 4*l**2 - 5*l**4 to f*l**4 + m*l + r*l**2 + j*l**3 + b and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 154, 42, -2 in descending order.\nAnswer: 154, 42, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.389 times -402?\nAnswer: -2970.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6290698 is divided by 1300?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-2 + 0) - -55. Suppose -c = -5*w + 3*m, 8*m = 2*w + 3*m - 19. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -8. Suppose 3*d = d - 5*g - n, -12 = 3*g. Is d*9\/24*20 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.2478 litres to millilitres.\nAnswer: 6247.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + 2*s**3 + 12682 - 12682 - 2*s**4 - 3*s**2 - 2*s in the form o*s**3 + z*s**2 + g*s**4 + b*s + w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5*u - 3 - 9*u to the form g*u + j and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**3 + 4*t + 15. Let u be 68\/(-18) + (-2)\/9. Let f(m) = -6*m**3 - 5*m - 16. Let q(x) = u*f(x) - 5*j(x). Find the first derivative of q(k) wrt k.\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m + 1. Suppose 3 = 3*a + 4*i, a + 4*a - 5*i - 5 = 0. Determine o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 814946306 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 117?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000136891008 rounded to six decimal places?\nAnswer: -0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, 2, 5\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10808*s + 32021*s + 31988*s.\nAnswer: 74817*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 27 = 4*x, 0*z + 4*z + 3*x = 29. Suppose -4*f - 16 = 0, -z*w = -f - 0*f + 36. List the prime factors of (14\/w)\/(5\/(-260)).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -545*b**2. Let s(h) = -3*h + 3. What is s(g(d))?\nAnswer: 1635*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p**3 - 40*p**2 + 3*p + 26. Is s(-6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from txooktqotgk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(45)\/sqrt(81) + sqrt(5)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p - 6*p + 11680 = 0. Let n = -305 + p. What is the smallest common multiple of n and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, e: 2, c: 3, s: 4, p: 5}. What is prob of picking 2 s and 2 p?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = -39. Let t(z) = z**3 - 6*z**2 - 4*z + 8. Let a be t(6). Let j = a - q. Are j and -3 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3154635 or -3154649?\nAnswer: -3154649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 19*c**2 - 2*c - 20. Let y be z(-19). Is 18 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, j: 1}. What is prob of picking 1 j and 2 s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 14\/(-10) - 3915\/(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17640138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.575431703715 and -0.23.\nAnswer: -0.805431703715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 40*i**2 + 4*i + 40.\nAnswer: -4*(i - 1)*(i + 1)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5226 + 5246. Solve -87 = -9*y - i*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -13. Let q = 21 + -24. Suppose 0 = 4*h - 2 - 10. Which is the closest to -1? (a) q (b) w (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15826685.\nAnswer: 5, 7, 452191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5008 = 77*r - 12554 for r.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3397*v**2. Let k(d) = -d. Determine s(k(x)).\nAnswer: 3397*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152726289 - -3?\nAnswer: 152726292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -18491?\nAnswer: 18490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 7*s**2 - 6*s + 1. Let l be h(6). Suppose 13 = 4*c + l. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-5)\/11))\/((-258)\/(-1290))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5670 or 5672?\nAnswer: 5672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -115432850 divided by -2?\nAnswer: 57716425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -2*b + 78 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253352100 a multiple of 6590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281769123 and 1095?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10579.\nAnswer: 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.7 - -41.4. Let o = z + 15.3. Let n = 0.2 + -0.3. Is o at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywg when three letters picked without replacement from {x: 5, g: 1, l: 1, y: 4, w: 5}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -0.07038.\nAnswer: -3.07038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w - 5*i + 1407164, -5*i = 4*w - 2814348. Suppose -4*v = -j - 3*j - w, 351802 = -2*j - v. Round j to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28024920 divided by -108?\nAnswer: -259490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1814 - -1781 - (1 - -1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 817529 by -29.\nAnswer: -817529\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 132113113310?\nAnswer: 132113113323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-4))\/(((-2)\/(-4))\/(120\/48))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + -5 + 1 + (sqrt(68) + 0)*6*1 + 3.\nAnswer: -8 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/7 - 62\/21. What is the biggest value in i, 1, 3, -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 - 176.6. What is the third biggest value in -2, q, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 80*z = -881 - 259, -5*z + 86 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -398 + a + 2*a**2 - 97*a**3 + 786 - 388 in the form m + f*a**3 + q*a**2 + l*a and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - -11. Let v = t + 148. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -32a?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m**2. Let d(p) = p**2 + 14*p - 20. Let f be d(-18). Let c(w) = 0 - 58*w + f*w + 0. Give c(n(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (31 - 0 - -3) + -1303 + 1334\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014593 rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*z - 12. Let j(k) = k**3 - 2*k**2 + 2*k - 1. Let l be j(2). Factor 2*r**z + 5*r - l*r**3 - 4*r.\nAnswer: -r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o - o**3 + 2*o**3 + 7*o**2 + 2*o**3 + 2 - 2*o**3. Let y be b(-6). Solve y = r + r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -326?\nAnswer: -1\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 10 + 22 = 0. Let b be 7 + -5 + w\/(-1). Let i(x) = -21*x**3 - 7*x**2 - 7*x + 7. Let s(q) = 11*q**3 + 4*q**2 + 4*q - 4. Give b*i(y) + 7*s(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 256\/128*(-10)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 3) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13184301.\nAnswer: 3, 13, 83, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10798, 21624, 32450, 43276, 54102?\n\"Answer: 10826*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 44 (b) 23 (c) 64 (d) 4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r + 317*r - 758 - 3207 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-3 + 3 - -6*sqrt(44)\/sqrt(4))**2 + -4.\nAnswer: 18*sqrt(11) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, w: 7}. What is prob of sequence cc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 480707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/((-68)\/120). Let f = i - 4\/51. Let w = 0.03 - -4.97. Which is the closest to f? (a) -0.1 (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 251287984 and 2?\nAnswer: 251287984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 <= 6\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -669*a - 5*a + 84*a - 2 - 364*a to the form z*a + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*w + 11*w - 1504 - 5496. What is the remainder when 3917 is divided by w?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 256.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -570 + 555.7. Let v = 14.5 + z. Which is the nearest to -1? (a) v (b) 15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7221600 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 63*i - 128. Let w be u(-2). Solve -3*d - w*g + 4 = -2*d, 2*d - 4*g + 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3558*z**2 + 3564*z - 3. What is q(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -555*n**3*p**2 + n**3*p + 18*n**3 - 339*n**2*p**2 + 118*n**2*p + 7*n*p wrt p?\nAnswer: -1110*n**3 - 678*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**3\/6 - 2*c**2 - 38*c - 3. Give l(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f**(-8\/9))\/(f**1*f\/f**23) assuming f is positive.\nAnswer: f**(208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1433 - 83 + 202 + 1154)*(-z + 2*z**2 + z).\nAnswer: 5412*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.12 times 0.2?\nAnswer: 1.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5414611 millilitres to litres.\nAnswer: 0.0005414611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:45 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -27. Let g be (-8 - -6)*3\/(-2). What is the first derivative of a - 13*x**g + 8*x**2 - 8*x**2 wrt x?\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 1\/3 (b) -5 (c) 79 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 355383739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, s: 15}. Give prob of sequence sss.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -41 = -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 12*z - 15. Let o be q(-10). Solve 8*x - o*x + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -21. Let u be 2\/l*(4 + -8). Let g(q) = q**2 + 2*q. Let j(s) be the second derivative of s**4\/4 + 7*s**3\/6 - s. Give u*j(o) - 14*g(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 9*l. What is the units digit of g(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2827040*o**2 - 2280270 wrt o?\nAnswer: -5654080*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/3 (c) -4 (d) 3 (e) 39 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.608 + -7.208. Put l, 2\/7, 1.1, 4 in increasing order.\nAnswer: 2\/7, 1.1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*x - 8286 + 5912 = 9096 + 4602 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-7\/5)*k))\/(k\/k**7)*k\/k**3*k*k*k*k\/k**(1\/5)*k assuming k is positive.\nAnswer: k**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.06343569\nAnswer: 0.50748552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32501?\nAnswer: 7, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 20*u**2 - 35*u - 48. Let c be m(15). Let r = c + -24. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 + 20*l**2 - 4*l + 27. Suppose -2148*n + 2143*n - 6 = 29. Give y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 9. Let o = l + -9. Let i = o + -22. Put 8, 0.3, i in ascending order.\nAnswer: i, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001048 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 2:06 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 1 + 8\/(-3). Let a = 20.7 + -21. Let t = 130 - 129.8. What is the third biggest value in t, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 405560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -14 + 2. Let t(u) = 5*u**2 - 4. Let f = 95 - 93. Let d(w) = -7*w**f + 1 + 10*w**2 - 5 + 1 + w**2. Calculate b*t(y) + 4*d(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 248 = h, -t + 0*h = h - 65. What are the prime factors of t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4838184 divided by 6\nAnswer: -806364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/63 (b) 3 (c) 0 (d) 4 (e) 1912 (f) -2 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 - 1010101011011101101?\nAnswer: -1010101011010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1997*y**3 + 13*y**2 + 37*y - 43. Let i(a) = 333*a**3 - 2*a**2 - 6*a + 7. Determine -13*i(d) - 2*j(d).\nAnswer: -335*d**3 + 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h - 2*h)*(0*h**2 + 3*h**2 - h**2) - 2*h**3 + 0*h**3 - 2*h**3 - 2 + 2*h**3 + 2 + 4*h**2 - 4*h**2 + h**3 + (-h**2 + 0 + 0)*(4*h - 4*h + 2*h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*(-18)\/63*1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -763748*v**3 + 778138 wrt v?\nAnswer: -2291244*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52392 - 64330 = 254*j for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/372732 and 139\/2422758.\nAnswer: 4845516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -94?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 8*x**2 + x**2)*(-1 + 5 - 2) + (247*x + 276*x - 269*x + 2041*x)*(2 + 2*x - 2).\nAnswer: 4580*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**3 - n**2 - n - 2. Let v(j) = j**3 - j**2 + j + 1. Let r(u) = d(u) - 5*v(u). Determine r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + s + 1. Let t(d) be the third derivative of -d**5\/20 + d**4\/12 + d**3\/6 - 6*d**2. Give 2*j(n) - t(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6301912383 rounded to the nearest 100000?\nAnswer: 6301900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3659687665 to the nearest integer?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5 (b) 73495 (c) -3 (d) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 26 = -10*t. Calculate the common denominator of 0 + t + -1 + 731\/(-150) and -143\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(2 + 138\/14). Let k = 82\/7 + y. Let r = -23 - -22.9. Which is the biggest value? (a) r (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 3709?\nAnswer: 14836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*h + 6, 3*h - 5*h = -u + 11. Let k(r) = 2*r**3 + 80*r**2 - 97*r - 615. Let v be k(-41). Solve -u*j - 5*j + 16 = v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1611284.242 rounded to the nearest 10000?\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 - f - 1. Let h be j(0). Let d = 0.9 - 1. Which is the nearest to h? (a) d (b) -2\/5 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112184530 to the power of 1\/2, to the nearest integer?\nAnswer: 10592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**1\/(g*g**2\/g)*(g**0)**(-16\/7)*(g**(-1\/4)*g\/g**(-3\/4))**(1\/65) assuming g is positive.\nAnswer: g**(-127\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312751710?\nAnswer: 2, 3, 5, 73, 181, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - k = 21, -3*z + 2*k + 3 + 4 = 0. Let v be (0 + -4)*z\/(-10). Suppose 3*n = v*j + 27, -3*j + 8*j = -n - 8. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2 (c) -1 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66098 is divided by 404?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*b + 4714 - 2350 + 25*b**2 - 2364 to v*b + c + g*b**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -90 - -147. Suppose 3*p - 24 = s. Solve b - 3 = 0, t - 5*b = 7 - p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -347200 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5, 5 - 30 = -5*z + 3*s. Solve 0 = z*w - 3*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*s + 2*s. Suppose 2*z - h - 4*h = -33, -s*z = -4*h + 28. What are the prime factors of (z\/10)\/((-6)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1734836?\nAnswer: 2, 59, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*l + 61*l - 23*l)*((3 - 3 - 1)*(-3 + 5 - 1) - 4 - 46 - 45)*(-2*l + 3 - 3) in the form v*l**2 + x*l + i and give v.\nAnswer: 10752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - x + 10 = 0. Put 1, x, 0 in decreasing order.\nAnswer: 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/360 + h**4\/72 - 2*h**3\/9 + 17*h**2. Factor o(t).\nAnswer: (t - 2)*(t + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b5d3 (base 16) to base 4\nAnswer: 23113103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.91695 and 6.7?\nAnswer: 6.143565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22947053 take away -4?\nAnswer: 4.22947053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11715029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -1 + 0*u + 1\/2*u**2. Let g(r) = -r**2 - 6*r. Let l = 111 + -117. What is l*f(t) - g(t)?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 15*g**2 - g - 13. What is w(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44884\/(-16030)*-30*2\/14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from pqqesqsqqqqqqess?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 46 = 5*h, 3 = -14*p + 11*p. Solve 4*g = -5*x + h, 6 = 5*x - 2*x - 5*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0*r**6 + 0*r**7 + 1\/7*r**8 + 0 + 0*r**2 + 0*r**5 + r + 0*r**3 - 1\/12*r**4. What is the third derivative of u(z) wrt z?\nAnswer: 960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 3*b + 14 = 0. Suppose -4*a + b*a = -4*m - 4, -5*a = 5*m - 55. Let s be 38\/a - 30\/6. Which is greater: s or 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -4*j - 32, -j + a = 4133 - 4130 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 13*k**2 - 13*k - 6. Let w be p(-12). Let h = 191 - 189. Find the first derivative of 26 + w*t - 6*t - 5*t**h + 24*t**2 wrt t.\nAnswer: 38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 - 309*n**2 + 958*n - 76368. Calculate y(153).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -330, -492, -656, -822?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 1. Give q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**0)\/j*j)\/j*j)\/(((j**(-2)*j)\/j)\/j))\/((j**(-1\/6)\/j)\/(j*((j*j**(-2\/21))\/j)\/j*j)))**(-10) assuming j is positive.\nAnswer: j**(-425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 407644889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - 1. Let d(i) = 3*i**2 + i + 7. Let l be d(t). Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 23. Is q greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/61? (a) -4 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400 - 372 - 22*g + 24*g.\nAnswer: 2*g + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 plus 724.95?\nAnswer: 718.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 5000*v**3\/3 - 2*v. Let m = -4 + 3. Let q be b(m). What is q rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.232 + -0.674. Let f = 0.206 + d. Which is the second biggest value? (a) 5 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 divided by 4?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.29 litres to millilitres.\nAnswer: 10290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6840.955 rounded to the nearest ten?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = 4. Let v be (1227254\/21)\/((-1)\/i). Suppose -5*y + 7824678 = -v. Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4241667 weeks?\nAnswer: 256536.02016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0*x)**(-5\/4))**(-22)\/((x*x*x**(2\/31))\/x**(2\/31))**10 assuming x is positive.\nAnswer: x**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.344 - -68.656. Which is the third smallest value? (a) 2\/9 (b) u (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 9 - (-6 - -7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoomfymmyyyggyo. What is prob of picking 1 f and 2 m?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Let n = -4 + v. Let o be ((-168)\/44 - -4)*11. Which is the closest to -0.1? (a) 5 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10622238 by -3.\nAnswer: 3540746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(5\/7))**(1\/46)\/(k**(2\/53))**(10\/13))**(-1\/5) assuming k is positive.\nAnswer: k**(2531\/554645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52670*q**4 + 16*q**3 - 45*q**2 + 8574399*q - 20 wrt q?\nAnswer: -632040*q**2 + 96*q - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4744 = 1742*r - 38806 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*o**3 + 72*o**3 - 679*o**3.\nAnswer: -711*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaaniaaainiia. Give prob of picking 1 a and 1 n.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 11:59 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Let s be b(-1). Let d(p) be the first derivative of -11*p**2 + 17*p**s + 6 - 8*p**2. Let c(u) = 2*u**2. Determine d(c(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14763171593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**3 - 2656399 + f**3 + 2656399.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-6)\/(-9) + (-3)\/9. What is the biggest value in j, -6, 0.5, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4213 times 0.3?\nAnswer: -1.62639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c - 65. Let p be y(-7). Let m(h) = 3*h**2 - 2 - h**2 + 2*h**2 - 3*h + 3*h**3 - 3*h**2. Calculate m(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -22*l**2 + 453*l - 256. Determine q(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + s - 2 = 0, 0 = -m - m + 2*s + 6. Solve 0 = x + 5*n + 10, -4*n = -x + m + 7 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 2*n**3 - 64*n + 13 + 17 - 27 + 4*n**3 - 3*n**4 to the form u*n**4 + f*n**3 + y + a*n**2 + i*n and give i.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/936 and -19\/728?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -12.4. Let u = -0.92 - j. Round u to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -31 + 31 + 1\/(82\/20 - 4). Solve 4*p - 11 = 3*y - 13, s = -2*y - 3*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 5) to base 3.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + f. Suppose f = -q + 6*q - 90. Suppose -7 - 3 = -5*o. Calculate the greatest common divisor of q and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v**4 - 2*v**4 + 2*v**4 - 3*v**4 + v**4 + 3*v**4 + (-v**3 - v**3 + 0*v**3)*(-2*v + 3*v + 3*v))*(-1 + 3 - 4).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.057 in 0.3, 1\/4, 4, -4\/59?\nAnswer: -4\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2565\/8 - -321. Put v, -0.1, -0.2 in decreasing order.\nAnswer: v, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437367.\nAnswer: 3, 7, 59, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 20 = -2*v, 3*v + 3 - 32 = 2*k. What is the highest common factor of 81 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-1)\/((-31)\/62) - -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.97 + 11. Let y = o - -0.27. Let k = -0.4 + y. Is k less than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 9*k = -24840. What is the remainder when k is divided by 99?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.534673 + 0.534652. Let b = 2 + p. Round b to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/14 - 7\/(-2). Let n be z\/(-10) + (-10)\/(-25). Let y be (-9)\/24*12\/27. What is the closest to n in 2, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w - 3. Let o be g(3). Let s = -9 - o. Let q be (-404)\/(-6) - (-2)\/s. What is the highest common divisor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161 + 163. What is the biggest value in r, -2\/3, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-6)\/(-18))\/(2\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 23 = 2*w, 0*w + w + 3*a - 14 = 0. Let k be -1*2\/(-3)*-3. Let o be (-12)\/(-9)*w\/k. Is o >= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(2\/5))**40\/(a**5\/(a\/a**(-7\/2))) assuming a is positive.\nAnswer: a**(127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-79)\/553*(-28)\/12. Sort -1, p, 5, 0, -4.\nAnswer: -4, -1, 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = 15*t - 775. Find the common denominator of -9\/1538 and t.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -11. Suppose o*v - 56 = -44. Suppose -157 = -j + 4*f, -2*j - v*f = -4*j + 298. Is j a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**2 + 0*g**2 - 11*g**2 + 18*g**2.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5456 - -11013. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491691675 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(3*s - 2 + 2) + (2*s + 0*s - 3*s)*(7 - 4 - 6) + (-3 + 5 - 1)*(-2*s - 2*s + 7*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m. Let g(u) = -56311*u - 1. Give g(l(b)).\nAnswer: -225244*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) - (-30)\/8. Suppose -5*g + 19 = -2*m, 0 = 2*g - 0*g + f*m + 2. Suppose g*k - 14 = 1. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:36 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10963544623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 + 7 = 5. Solve 2 = c + 2*y, 47*y - 49*y = u*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 15. Let k be f(10). Suppose 0 = -k*r - a + 16, -3*r + 5 = -3*a - 1. Calculate the remainder when 90\/21 + (-2)\/7 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from tomooffommfooofmoto?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3 = -2*l - 11 + 18, -2*l + 4*r = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2*r - 4 - 2*r**3)*(-4 - 1 + 0 + (-1 + 1 + 3)*(5 - 1 - 3) + 1 - 3 + 3).\nAnswer: 2*r**3 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -151853*l - 2733359. Give j(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -972 + 973. Sort 0.1, j, -2\/3, 25, 0.5 in increasing order.\nAnswer: -2\/3, 0.1, 0.5, j, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 4:58 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2691*g + 10546. Determine i(4).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggwuuwoowooowwguwgo. What is prob of sequence wwwu?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l - 9. Let p be f(-8). Let h = p + -11. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 12*g + 4. Let m(b) = 2*b**2 + 5*b + 1. Let h(u) = -2*u + 8*u + 3*u**2 - 2*u - u**2. Calculate g*m(z) + 5*h(z).\nAnswer: 2*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by -50.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2281845 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397905.29 rounded to the nearest 10000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4 - 2*z**3\/3 - 4*z**2 - 3*z. Let n(g) = 0. What is g?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 240?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 3*n**2 + 15*n + 13. Let f be r(-5). Does 11 divide 4\/(-2)*(-3)\/f*-2162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1\/4, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*m + 32 = -647. Solve m*f + 4*f = -77 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:27 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 756642 to the power of 1\/2, to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 81*q**2 - 125*q - 2572. Let u be o(79). Let p(k) = 15*k**2 - 3*k - 4. Let s be p(-3). Calculate the greatest common factor of u and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + 3*r**3 + 0*r**3)*(2 - 7 - 13).\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 67 + -1 + -2. Let a(f) = 6 - 9*f - 2*f + 3*f - f**2. Let r be a(-7). What is the highest common factor of x and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5639405182.\nAnswer: 2, 71, 4127, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 413688993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-72) + (-3376)\/462 - (37 + -47)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/10)\/(1\/(-5)). Find the third derivative of -14*k + w*k - 5*k**2 + 7*k**4 wrt k.\nAnswer: 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105577 is divided by 261?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1175.3 - 4?\nAnswer: -1179.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*sqrt(132)*2*-2)\/(sqrt(192)*1*-5*6).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 30438968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + ((sqrt(931) + 1)*3 - sqrt(931) - sqrt(931)) + -3 + -3)**2.\nAnswer: -84*sqrt(19) + 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**1\/h))**(1\/10))**(5\/7)*(h**(-2\/7)\/h*(h\/h**(-3))\/h)**(27\/7) assuming h is positive.\nAnswer: h**(655\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**2 + 7*a - a - 5 + 5*a**3 - 11*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, e: 2, x: 2, v: 4}. What is prob of picking 1 v and 2 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78981?\nAnswer: 3, 7, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00279142 rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4832, -3593, -2364, -1151, 40, 1203, 2332, 3421?\n\"Answer: -c**3 + c**2 + 1243*c - 6075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 62*k**4\/5 - 98354*k**3\/5 + 915766*k**2\/5 - 348950*k + 927276\/5 = 0.\nAnswer: 1, 42\/31, 7, 1577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1111 by -17.\nAnswer: 1111\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*27\/81*6\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**3\/3 - 7*l**2\/2 - 13*l - 5162. Let j be (-1)\/(3\/6*-1). Suppose 4*n = j*u + 2, -3*u - n = -8*u + 40. Calculate t(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 3*b + 15. Let d be h(13). Let c = 60 + d. Let a = c + 87. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -2, -331*g - 370*g + 5*d - 90 + 1 = -698*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1110101101010101 (base 2) to base 9\nAnswer: -101568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1758*i**6 + i**5 + 6*i**4 - 4*i**2 - 39*i - 3 wrt i?\nAnswer: 210960*i**3 + 60*i**2 + 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -210*l**3 + 77*l**2 - 77*l - 77. Let x(k) = 11*k**3 - 4*k**2 + 4*k + 4. Let p be 600\/140 + 38\/14 + -3. Calculate p*a(c) + 77*x(c).\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**3 + n**2 - 2*n - 4. Let y be u(-1). Solve 0 = y*i - s + 12, 5*s - 35 + 5 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 3*m**4\/4 - 6*m**3 + 27*m**2\/2 - 12*m + 50. Factor n(u).\nAnswer: 3*(u - 4)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29825016 divided by 2485418?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a factor of 227471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20696 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110*v**2 - 222672*v + 350045307?\nAnswer: 220*v - 222672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 + 2)*(-1)\/(-2). Factor q**3 - 5*q**4 - 2*q**2 + q**4 + q**2 - q**5 + t*q**4.\nAnswer: -q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25961857 to the power of 1\/2, to the nearest integer?\nAnswer: 5095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2812499ml in litres?\nAnswer: 0.0002812499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 1. Let t be m(-2). Let z(p) = p**3 - 4*p**2 - 17*p - 1. Does 2 divide z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705194 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.036 times 0.93\nAnswer: -0.03348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1062301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192 - -406. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/((-736)\/168))\/((90\/16)\/(-3))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c16 - 1?\nAnswer: -1c17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/142659 or 6?\nAnswer: -2\/142659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 333740026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/80 and -31\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 33*k**2 + 247*k - 11. Let h be g(-18). Is 2826\/7 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291316.\nAnswer: 2, 67, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1064*g - 1034*g = -180 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -32*i + 451. Let n be z(14). Suppose 3*p + p - 8 = 0. Suppose 1 = -p*v - 3. Which is the nearest to n? (a) v (b) 4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2068, 2554, 3042, 3532, 4024, 4518?\n\"Answer: p**2 + 483*p + 1584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-4)\/1 - -1). Suppose 5*b = -g*m + 43, -m + 4*b + 52 = 2*m. Calculate the remainder when 62 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 3385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - -352. Suppose -6*b - s = -1313. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 249\/(-21) - 1\/7. What is the tens digit of ((-41)\/(-3))\/((-4)\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 131 = 3*d. What is the derivative of 72 + 4*n - d - 4*n - 12*n**4 wrt n?\nAnswer: -48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/12 + -2*4\/12. Suppose 5*x = -d + 3*x + 115, -257 = -2*d + q*x. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -12570 + 12570 - 1535*f. Let g(n) = -2*n. Calculate s(g(w)).\nAnswer: 3070*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - 154. Let u = -158 - r. Sort 1\/6, u, 0.1 in decreasing order.\nAnswer: u, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19\/20 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3278.\nAnswer: 9834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**4*z**2 + 62*k**3*z - 10*k*z**2 - 4*k wrt k.\nAnswer: 48*k**2*z**2 + 372*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-2 + sqrt(832) + sqrt(26)\/sqrt(2) + -1)**2 + 1.\nAnswer: 14*sqrt(13) + 639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6590 (b) 1\/3 (c) -10\/13 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from eeyyeeuyuyekee.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35341 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 478 = -2465. Let t = 200 - j. What are the prime factors of t?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-2\/9)*z)\/(z**(-38)\/z))**(-2\/35) assuming z is positive.\nAnswer: z**(-152\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -9*c - 66. Calculate the remainder when c is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/33*(-84)\/(-15). Let d = 301\/55 - 41\/5. Let q = d - z. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.32, -1\/4, 1, 97, -5 in decreasing order.\nAnswer: 97, 1, -1\/4, -0.32, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 + 119. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598819163 to the power of 1\/2, to the nearest integer?\nAnswer: 24471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 23*j + 3*j = 0. Let w = 1 + 1. Let a = w + -1. What is the second smallest value in -1\/3, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 668982 + -1?\nAnswer: 668981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 717\/8*3\/(-9) + (-78)\/624.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001463485 to 7 decimal places.\nAnswer: -0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -763, -762, -761, -760, -759?\n\"Answer: f - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 3. Let a(o) = -5*o**2 + 2*o + 1. Suppose 4*m = -0*m - 12, 5*m = -4*c - 19. Let h be a(c). Determine i(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (12 + -7 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28071924?\nAnswer: 2, 3, 2339327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -107.7 or 1.90344?\nAnswer: 1.90344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-19)*s\/s**(16\/3))\/(s*s**10)**6 assuming s is positive.\nAnswer: s**(-265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -c - 12, -6*c - 12 = 3*k - 3*c. Let o(n) be the second derivative of 0 + 2*n**2 - 4*n + 1\/6*n**3. What is o(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6054131, -6054112, -6054091, -6054068, -6054043, -6054016, -6053987?\n\"Answer: s**2 + 16*s - 6054148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/9 + (-112)\/504\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 47. Suppose -3*p - 3*r + 110 = -2*r, -4*p + 154 = 5*r. What is the tens digit of -7 + 4 + a + p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (561\/(-9))\/(7\/(-3) - -2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac5a (base 14) to base 4.\nAnswer: 13102300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10227992867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4337 - -130133\/30. Calculate the common denominator of (-63)\/7 + 1772\/220 and c.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -109441.8, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 7\/60*f**6 - 3*f**2 + 0 - 1\/6*f**4 + 0*f**3 + 1\/6*f**5 + 0*f. Factor k(z).\nAnswer: 2*z*(z + 1)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + 1.5. Let d = j + -1. Which is the closest to 0.1? (a) -2 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 8:18 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3 + 1. Let v = d - 6. Let s(q) be the third derivative of q**6\/120 + q**5\/15 + q**4\/24 + q**3\/6 + q**2. Give s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 51*h**2 + 21*h - 31. Give r(3).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*k + 6 = 0, 3*b - 15 = -2*b + 5*k. Solve -1 = -a - b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, -121, -9, -4 in increasing order.\nAnswer: -121, -15, -9, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - -73) + -2 + -6 + 3 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 96553 (b) 4 (c) -4\/7 (d) 0.4 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*r + 26221 = 0, -5*n + 5*r + 29202 = -3568. What is the highest common factor of n and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541970142 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times -27365?\nAnswer: -6293.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 - 247. Suppose -3*x + 150 = -0*x + 3*f, m = 3*x + 2*f. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 48*j**2 + 39*j + 2. List the prime factors of p(10).\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (7205*g**2 - 89521 + 89521)*(0 - 2 + 1) in the form p*g + q*g**2 + n and give q.\nAnswer: -7205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7\/4)\/(u*u*u\/(u\/(u**(-5\/8)*u)*u))*(u**(-1\/3))**37 assuming u is positive.\nAnswer: u**(-371\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 5:04 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00250523739 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 9*u + 8. Let o be y(-8). Suppose o*b - b = -6. Suppose -b*x - 62 = -r - 3*x, -4*r - x + 248 = 0. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 8. Let w(s) = 5 - o + 20 + s. What are the prime factors of w(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + y = 9, -4*u + 3*y + 10 = 5*y. Suppose 2 = u*t, -2*l - 2 + 57 = -t. Solve l = 5*i - 2*p, 0*i = i + p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/188 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4451378 + -3?\nAnswer: -4451382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 84, 0 in descending order.\nAnswer: 84, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/10)\/((-6)\/20). Let x(k) = -k**3 + 18*k**2 - 3*k + 42. Let l be x(18). Let n = l + c. Solve -4 = -3*h + 5*q, n*h - 4*q = q + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 40. Let u be j(0). Let l be (u\/(-4))\/((-2)\/(-14)). Suppose -2*y - 3*y + l = 0. What is the greatest common divisor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1977)\/201654)\/((-20)\/(-30))\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15537*-1\nAnswer: 15537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 19397310.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1153841600 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0077 * 28042.\nAnswer: -215.9234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 5397*a**2 - 3237942*a - 13037928 = 0 for a.\nAnswer: -2273, -4, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21609, -172425, -581783, -1378953, -2693205, -4653809?\n\"Answer: -21545*q**3 - q**2 + 2*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 509.7059 centuries in millennia?\nAnswer: 50.97059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 79 - ((-1971)\/(-73) - -42)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**6\/720 + z**5\/30 + z**4\/4 - 3*z. Let y(s) be the third derivative of c(s). Give y(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58761 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let l = m - -6. Let x(q) = -q**3 + 3*q**2 + 2*q - 1. Let t be x(l). Solve k = -t*h - 18, -k = -3*h + 2*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/237460 and 97\/1736?\nAnswer: 3324440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(-4 + (sqrt(76)\/((sqrt(4)*-1 - sqrt(4)) + sqrt(4)) - sqrt(114)\/(sqrt(6) - sqrt(6)*-2)))*1)**2.\nAnswer: 1536*sqrt(19) + 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 130534?\nAnswer: 130534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13331 (base 4) to base 12\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*y = -12, 3*r - 27 + 7 = -5*y. Let s(j) = -17*j - 340. Let b be s(-20). Suppose b*g = -r*g. Solve g = -n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2322\/7 - -41957\/126. Calculate the common denominator of b and -19\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(88)*-2)\/(sqrt(4) + -2*sqrt(4)*-4))\/(sqrt(11) + sqrt(176) - (sqrt(11) + sqrt(275))*1).\nAnswer: 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 3. Let v be -1*(-5 - m)*4. Let d be (-2)\/v*(-3 + -3 + 6). Solve -s = -4*c - 11, 2*c + 3*s = -d*c - 23 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 533, 1016, 1639, 2402, 3305?\nAnswer: 4348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2259, -4902, -7547, -10194, -12843?\n\"Answer: -c**2 - 2640*c + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570000 is divided by 284968?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + b**2 - 2*b + 7. Let i(k) = -3*k**3 - 6*k**2 - 113*k - 14. Let m(x) = -2*d(x) - i(x). Let m(o) = 0. What is o?\nAnswer: -9, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 5:53 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000187144 rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 162.7089805873 + 0.196\nAnswer: 162.9049805873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x + 60*x**4 - 61*x**4 - x**2 - 4*x**3 + 2*x**3 + x**3 to d + t*x + o*x**4 + q*x**3 + i*x**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7617216 divided by 1227.\nAnswer: -6208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + -9 + -43 - 35.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11341 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2813, 16, -0.3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(-85*t**3 + 82*t**3 - 189*t**3) - 10*t**3 + 2*t**3 + t**3 as p + u*t + z*t**2 + c*t**3 and give c.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41885 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 2, i: 1, g: 2, m: 1, s: 1, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -41.7 (c) 5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 8489751?\nAnswer: 8489751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/3 - 20*a**2\/3 = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 4*o**2 + 5*o - 3. Let g be (-18)\/(-8)*(-20)\/(-15). Let j be w(g). What is the third smallest value in j, -5, -0.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**4\/6 - j**3\/3 + 2*j - 3. Let d(n) be the first derivative of b(n). What is d(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-65)\/9))\/(((-1380)\/100)\/23).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 + (-35 - -101) - -154.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212118 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*h - 2164, -2*i + 486 + 957 = 3*h. Suppose -2*t = -185 + 1209. Let b = i + t. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -112, -132, -150, -166, -180, -192?\n\"Answer: l**2 - 23*l - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.35, -1, -3, 2, -22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*z**4 - 27*z**3 + 62*z**3 - 60 - 34*z**3 with respect to z.\nAnswer: -24*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14940 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - o**2 - o. What is u(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, 686, 0.6, -5, 3, -0.16 in decreasing order.\nAnswer: 686, 3, 0.6, 0.11, -0.16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/345534 and 163\/181860.\nAnswer: 3455340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 365, -0.2, 2.5 in ascending order.\nAnswer: -0.2, 2.5, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 35643.\nAnswer: 41\/35643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2569\/90 - 256\/9. What is the closest to -1 in -2, v, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**3 + h**2 + 0*h + 1\/60*h**5 + 1\/4*h**4 + 11. What is m(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81056 is divided by 193?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152.1216 milliseconds to minutes.\nAnswer: 0.00253536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 66 + 25*s + 66 - 6*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 6, f: 8, v: 1}. What is prob of picking 1 f and 1 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/8 (b) -0.059 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -1, 63, 65, 3 in descending order.\nAnswer: 65, 63, 4, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13253742 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -521 + 913. Let o = -280 + x. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*u - 1672 - 1830 = 0 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*d - 237 = 70 - 27. Let f(u) = 9*u**2 - 3*u - 1. Let m(w) = -9*w**2 + 4*w + 2. Calculate d*f(c) - 3*m(c).\nAnswer: -9*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -486377 (base 13) in base 8?\nAnswer: -6455727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/22 and 23\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y + 9. Let w be (-345)\/(-27) + 2\/9. Let d(a) = -a - 4. Calculate w*d(x) + 6*l(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (17 - 5)\/(-1 - -2). Let w = a + -2. What is the highest common divisor of 4 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -113. Let t = n - -112. What are the prime factors of t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 5*k**2 + 2*k - 2. Let n be o(-3). Suppose 4*b + 82 = -n. Let q = 37 + b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.4, -5\/3 in descending order.\nAnswer: 5, 0.4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26061, 61471, 96881, 132291, 167701, 203111?\n\"Answer: 35410*n - 9349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 30*y - 100. Let m be d(5). Suppose m*z - 45 = 280. Suppose 2*p - 30 = -2*x, 5*p + 3*x - 69 = -0*p. Is z at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -41 - ((10 - 6) + -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*f + 6 - 6)*(3*f + 10*f - 195 - 12*f) in the form a*f + m + h*f**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 152*y**2 + 5532*y - 871. Determine p(92).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9622 + 9618. Let q be 12\/15*(-10)\/(-4). Suppose q*v + 3 = v. Put v, y, -8 in decreasing order.\nAnswer: v, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 1614036*v + 217092684108.\nAnswer: 3*(v - 269006)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.1, 12376739?\nAnswer: 12376739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 4. Let k(v) = -2*v - 4. Let y be k(-7). Suppose -7*u - y = -5*u. Give a(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 g when four letters picked without replacement from {g: 2, b: 1, x: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 21 = -9*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let b(f) = -96613*f + 13*f**2 + 9*f**2 + 96607*f. Give o(b(m)).\nAnswer: -22*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 422, 0.2, 734.\nAnswer: -3, 0.2, 422, 734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*a**2 - 13*a**2 + 4*a**3)*(-5*a + 809 + 6*a - 805).\nAnswer: 4*a**4 + 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(19))*1 - -3*sqrt(76)\/sqrt(4)) + 2 + 3.\nAnswer: 5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15748, -22918, -30088, -37258, -44428?\n\"Answer: -7170*t - 8578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4989.89 years in months?\nAnswer: 59878.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 0.59 (c) 2\/19 (d) -1 (e) 39\/109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 7*n**2 + 10*n - 10. Let z be k(8). Suppose 25 = j + 4*j. Let p = j + z. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/590 and -151\/12?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16 + 12\/4 + -4. Determine o, given that z*o**3 + 8*o + 40*o**2 - 4*o**2 + o**3 = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(24)\/sqrt(2))\/sqrt(2))\/((-3*sqrt(33))\/sqrt(11)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((-207)\/5 + (-4888)\/1880)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141860590?\nAnswer: 2, 5, 37, 467, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3)**41)**(-35)*t**5*t*t*t*t**(-4)*t\/(t\/(t\/(t*t\/(t*t**(-4)*t))))*t*t**(2\/3)\/t assuming t is positive.\nAnswer: t**(-12910\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:54 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 13*q + 102420. Let r = q + 21183. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 2:58 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13*p**3 - 2*p**2 - 8*p - 1. Let g be m(-2). Suppose 23 - 9 = 2*u. Suppose 8*s + u - g = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 - 95 = -3*m. Suppose 4*u = -4*b + 32, 2*b - 4*b - 38 = -m*u. Which is smaller: u or 11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(832) + 1)*1.\nAnswer: -32*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - r - r)*(-3*r - 3*r + 0*r) - r**2 - r**2 + 3*r**2 + (3 - 3 - r)*(-5*r + r + 2*r) - 8 - r**2 + 8 to s*r + h + y*r**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5619 - -5660 - (0 + 21)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 244 - -83. Let n = d + -190. Calculate the remainder when n is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 111\/(-9) + 4\/12. Let u = -97 - -98. Does d = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*2*55\/20*(-12)\/(-66).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**3 - 5*d**2 - 3*d + 1. Let l(f) = -6*f**3 + 8*f**2 + 5*f - 2. Calculate 5*l(n) + 8*p(n).\nAnswer: 2*n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6847037123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(-10 - 3 - 1)*(2 - 2 + 2*x)*(-25 + 25 - 14*x) to c + k*x + v*x**2 and give v.\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 0 (c) -4\/15 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(42)\/sqrt(6) - (sqrt(7) - (sqrt(112) + sqrt(112) + 2*sqrt(112))).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubpppjjjbb. Give prob of sequence jupb.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5713 + -5658. Is 48 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -869474 rounded to the nearest 1000?\nAnswer: -869000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, 0.2, -2, -5, 700784 in increasing order.\nAnswer: -5, -2, -1, -1\/2, 0.2, 700784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1648 - 32.1648. Which is the second biggest value? (a) -2\/9 (b) w (c) -1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 3, -300*n + 49 = 3*j - 0*j - 305*n + 16 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -5. Suppose 391*n = 393*n - 6. Solve 4 = 4*i - 3*i - 2*m, -f*m = -n*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:56 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 10\/(-25)) + 2\/(-5). Solve -h*l = 2*j + 1, -11 + 2 = 5*j + l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = -4*n + 41, -59 = -5*n + 4*c. Find the common denominator of -81\/8 and n*((-3)\/21)\/(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12 and 37\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15\/45*1 - 0\/8\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*((-2*sqrt(228)*2 - sqrt(228)) + sqrt(228)*-2*5))\/((sqrt(132) + 2*(sqrt(132) - 1*sqrt(132)))\/(3*sqrt(11)*-1 - sqrt(11))).\nAnswer: -3 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41 from 509163.\nAnswer: 509122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l = 5*u - 58*l + 25, 25 = 9*u + 5*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 21006*n**2 + 149*n**3 - 151*n**3 - 3 + 10.\nAnswer: -2*n**3 + 21006*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 108.8142 to 1 decimal place.\nAnswer: 108.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -243545?\nAnswer: -4\/243545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s - 13. What is r(-9)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45.1 and -9?\nAnswer: 405.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 26 = 54. Let v = d + 35. Suppose 14*z = v*z - 25. Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 32.04, -1, 1, -6 in decreasing order.\nAnswer: 32.04, 1, -0.4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3 + 2 + p + 0. Let f be y(-7). What is the common denominator of (-1)\/f - (-51)\/(-12) and -1\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*p**4*u**3 - p**2*u**3 + p**2 - 542*p*u**3 wrt p.\nAnswer: 3552*p*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/6, 1, -374?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -8. Let p = 11.998 + 0.002. Let g = p + i. Sort 0, g, -2\/3 in ascending order.\nAnswer: g, -2\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 14. Let q = 59532 - 59531.5. Which is the nearest to -0.1? (a) -21 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/36 + 43\/36. Factor 8\/3*p**2 + 6*p**5 + 2\/3*p - 8*p**4 + 0 - l*p**3.\nAnswer: 2*p*(p - 1)**2*(3*p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, m: 1}. Give prob of sequence dmd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-1330)*-19)\/((-18)\/(-14)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -244, -1, 0, -12.\nAnswer: -244, -12, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3339 and 318689?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(110) - (sqrt(110) + sqrt(110) + sqrt(110)*1 + sqrt(110) - sqrt(110))*4)*-5)\/(-1*-4*(sqrt(810) + -2*sqrt(810))).\nAnswer: -55*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.46505km in meters?\nAnswer: 47465.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -73 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 810 divided by -810\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23365984, -46731967, -70097950, -93463933?\nAnswer: -116829916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -22 - 4*n**2 + 8 + 15 - 2*n. Let a(z) = -z**3 + z**2 + z - 2. Let j be a(0). Let k(b) = -b**2 - b. Calculate j*k(w) + u(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10697664 and -19.68.\nAnswer: 10697644.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -98, -144, -188, -230?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234242 and 9478.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 9:51 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r + 126*r + 2*r + 5 - 4 to n + v*r and give v.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 9*v - 6*v, 2*d - 3*v = 84. Suppose -5*l = 3*f - 1275, 5*l - 5*f = -6*f + 1265. What is the highest common factor of d and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9249791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13317058 and -0.05?\nAnswer: -665852.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 73 - 67980?\nAnswer: -6790b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/5)\/180)\/(13\/(-26)*(-20)\/(-10))?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -665*a**5*f**3*z + a**2*f**2*z + a**2 + 45*f**3 wrt a.\nAnswer: -39900*a**2*f**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71535465 by 1.\nAnswer: 71535465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16\/3 - -35\/6. Let r be 4\/14 + 19\/7. Factor 9\/2*l**r + 3*l**2 + n*l + 0.\nAnswer: l*(3*l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2*i**2 - 1\/2*i**3 + 0 + 2*i. Give g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29995, 60123, 90251?\n\"Answer: 30128*a - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1237899 or -1237895?\nAnswer: -1237895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 1. Let i(j) = 8*j**2 - 147. Let z(t) = -i(t) - 6*p(t). Let q(u) be the first derivative of z(u). Let l(o) = -o + 0 + 0. What is q(l(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:21 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 34, 4, -2, -1, -5622, -4 in decreasing order.\nAnswer: 34, 4, 3, -1, -2, -4, -5622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62645, 62596, 62511, 62390, 62233?\n\"Answer: -18*o**2 + 5*o + 62658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -w + 3*w. Suppose 2*d - d = -w. Let j = -5 - d. Solve -j*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:34 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00259987 rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/10)\/((-2)\/(-5)). Suppose -s*c - q + 7 = 0, 3*c - 3 = 2*c + q. Suppose -3*u = -9, 3*r - c*r + 3*u - 128 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 672*i + 9. Give t(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 385 - -706331?\nAnswer: 706716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -315 + 376. Calculate the remainder when s is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -8*b**2 - 286. Let n(o) = 17*o - 34*o + 21*o. Determine n(g(f)).\nAnswer: -64*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(2 + 3)*(0 - -35). Let h = 35 + x. Suppose h = -2*m + 15 - 9. Solve -2*p = m*w - 0*w - 18, -3*p = -w - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170718559 divided by 6.\nAnswer: -170718559\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*y - 18*y + 206*y = -18559 for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14887648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -43 + 0*l + 49 + l. Let v be n(11). Solve v*s - 41*s + 5*s**2 + 20 + 4*s = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g + 8398 = -234*g for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4962 = 4*o + 3*p + 4960, 2*o = -p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + q**2 - 3*q**2)*(q - q + q) - 13*q**2 - 123667*q**3 - 10*q**2 - 3*q**2 - 218294*q**3 + 26*q**2 as z*q + t*q**2 + o*q**3 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -467, -1572, -3413, -5990, -9303?\nAnswer: -13352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 0.5. Is j greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 24*q - 3063. Let d(i) = -17*i + 2042. What is 5*b(o) + 7*d(o)?\nAnswer: o - 1021","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2011068 and -13.\nAnswer: -2.6143884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012100212001 (base 3) in base 4?\nAnswer: 20200301002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 3*g + 1. Let n(a) = a**3 + 172*a**2 + 5540*a - 55119. Let f(y) = 5*n(y) + 35*p(y). Factor f(l).\nAnswer: 5*(l - 8)*(l + 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(4 + (-3)\/(36\/50)). Let g = u - 33. What is the smallest common multiple of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -137265 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -31) + (-3318 - -3264)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880091.\nAnswer: 880091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-5)\/26))\/(20\/(-250)*15)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8440, -8439, -8438, -8437, -8436?\n\"Answer: f - 8441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 - -68.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + 26. Let r(u) = 71*u - 140*u + g*u + 16*u**2. Let z(b) = 2*b**2. Give r(z(y)).\nAnswer: 64*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011799223 rounded to seven decimal places?\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -81, -118, -181, -276, -409, -586?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 = -y, j = 2*y + 2*y. Suppose j*u - 22 = 2*u - 4*o, 3*o = u + 9. Suppose -3*m = 5*a - 69, u*m = -3*a + 86 - 23. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1295*-1\nAnswer: -1295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.1 (c) 811\/4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from bjuui?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/7525 and -87\/6818?\nAnswer: 7329350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 425. Round z to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11538624 divided by 2?\nAnswer: 5769312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n. Suppose -14*k = -16*k + 6. Let i(o) = 4 - 4 + 4*o + k*o. Calculate 6*i(g) + 13*p(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 37*o + 200. Determine n(42).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 5.3\nAnswer: 2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40938083?\nAnswer: 40938083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363243 + 10*n**2 - 363199 + 726329.\nAnswer: 10*n**2 - 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.1 - -52. Which is the third biggest value? (a) 1 (b) u (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97585417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 917 divide 328301589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -18) + (-3 - -16) - -1 - (-15 + -49)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r + 5*v - 9 = -49*r, 9 = -3*r + v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 8279927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 37, 86, 167, 286, 449, 662?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-155) - 36\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 10*h. Suppose 2*b = 8*b - 54. Calculate t(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by 38087.\nAnswer: -156\/38087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(12) + -5 + sqrt(3)*1*1)**2 - sqrt(9)\/((sqrt(48)\/sqrt(8))\/sqrt(2))).\nAnswer: -31*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4437)\/(-34))\/(-29)*(-3)\/((-135)\/35).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5 - (-30)\/5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 2\/21*a**3 - 2 + 4\/7*a**2 + 8\/7*a. Let k(g) = 0. Calculate g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -5*g - 7. Suppose -g*n = -3*n - 476. Suppose 5*o + 1 = h + 162, 0 = 3*o + 5*h - n. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88a6 (base 13) to base 3.\nAnswer: 222011002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 299*n**2 + 94*n + 73196?\nAnswer: 598*n + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -14*o + 2290. Let m = o + -199. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 3 + 5*z + 0*z**2 + 0*z**4 - 3\/5*z**5 + 0*z**3. Differentiate s(y) with respect to y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8 = 7. Suppose -4*r + 560 = 2*f, r + 3*r = -z*f + 572. Let k = 238 - r. What is the highest common divisor of k and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 0*m**2 - 3*m**2)*(10 - 36*m - 32*m + 75*m).\nAnswer: -7*m**3 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -25) + 4 - (53 - (3 + 4))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -19. Let i = 7\/36 - -41\/36. Which is the closest to -1? (a) d (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = -6. Suppose -12 = -4*f + 4*y, -3*y = -2*f - j*y + 9. Let i(o) = -3*o + 0 - o**2 - 5 + 2*o**2. Determine i(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27770464 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 9:10 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9\/7, 4, 550, -1 in decreasing order.\nAnswer: 550, 4, 3, 9\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pypyp. What is prob of sequence py?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1825678 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1304*s**2 - 14313*s - 363. Give o(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 1.7. Let i(v) = -v**2 - 21*v + 81. Let q be i(-24). Suppose -11*o + 2*o = -q. Which is the fourth smallest value? (a) o (b) 0.4 (c) z (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 16*y - 13. Let r be x(-17). Suppose -26 = -3*c + 2*k, 0 = -k - 0 - r. Let d be 31200002\/c - (-7)\/(-21). Round d to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 3. Let j be s(-4). Let c be (-13830)\/(-1731) - 2\/j. Let n = 6\/577 + c. Find the common denominator of 93\/8 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - -3*(sqrt(130) + sqrt(130)*2))\/(sqrt(250)*6).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*z - 130 - 151 = -30 - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {g: 8, x: 1, m: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 885 by 39.\nAnswer: 295\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -25*o**2. Let l(b) = -13790463*b. Calculate l(c(t)).\nAnswer: 344761575*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2\/7, 1\/5, 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 4:28 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 23441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.60181 micrograms in tonnes?\nAnswer: 0.00000000000960181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 807753217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520 = -4*x + 43*f, -8 = -314*x + 318*x + f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2532 + 50621\/20. What is the common denominator of w and 940\/96 - 2\/3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(195)*-1)\/sqrt(5))\/(sqrt(3)*-1*-5*-5).\nAnswer: sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 - 5*c**2 - 21*c + 30. Determine k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42397323 plus 40.7?\nAnswer: 42397363.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416330237.\nAnswer: 89, 38385733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-225)\/150*(-8)\/(-27)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/91 + (-54346)\/(-377). Calculate the greatest common factor of 1632 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 19 + 14 = 0. Let o be 5*z*12\/(-20). Suppose -48 = -o*l + 54. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3\/6 + 0). Suppose 0 = 3*v + 2*b - 16, 0*v + b - 1 = d*v. Is ((-18)\/(-10))\/(v\/10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/77)\/w**37 assuming w is positive.\nAnswer: w**(-2847\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m + 10. Let k be (-2 + 2)\/(1 + -2). Let q be h(k). Solve 7*y - q = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7547, -7606, -7659, -7670, -7603?\nAnswer: -7422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5 + v**5 + 92*v**2 + 29*v**3 - 3*v**4 + 31*v**3 + 21*v**4 + 66*v + 18 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t - 1. Let w(r) = r. Let c(f) = -a(f) + 5*w(f). Is c(-9) 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 rmrrrrrrrmrr. Give prob of sequence rm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 258, 675, 1792, 3957, 7518?\n\"Answer: 58*g**3 + 2*g**2 + 5*g + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -8\/21, -0.11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 7 = 7*t. Is 3 - (-1082 - t)\/((-2)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 - -67. Let p = i - -139. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**3 + 8*u**3 + 2*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2583997203 to the nearest integer?\nAnswer: 50833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 7. Let q(w) = -2*w**2. Give p(q(z)).\nAnswer: 12*z**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4 - 36*g**3 + 96*g**2 - 92*g + 30 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -2\/11 (c) 1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -62. Let t be (21\/j)\/((-1)\/4800). Round t to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1639, -3 in ascending order.\nAnswer: -1639, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*g - 637952 = 6953*g + 2929*g for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 111972?\nAnswer: 1007748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*(sqrt(272) - -2*sqrt(272)) - (2*sqrt(272) - sqrt(272))*1) + (-2 + sqrt(272) + 5 - sqrt(272)) + 3)*-1 + -3)**2.\nAnswer: -504*sqrt(17) + 13409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukeo when four letters picked without replacement from eokfefefeeu.\nAnswer: 1\/1584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/8 (b) 1\/3 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224487119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46921059 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d + 41*d - 126. Suppose 0 = d*m + 286 + 288. Are -82 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 13*k - 54*k**3 - 112*k**3 + 12*k + 12*k**3.\nAnswer: -154*k**3 + 25*k - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6797 (base 15) in base 10?\nAnswer: 21967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.74920356 rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 33. Let p be -2 + 6 - (1 - t) - -22. Solve -8 = -4*k - p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 13*w - 2*w**2 - w**3 - 419*w - 308*w + 45*w as a*w**2 + g*w + p + c*w**3 and give g.\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1513758 is divided by 274.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + -3) - 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((-45)\/10)*(-15)\/(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 - 67*q - 15. Let k be h(-21). Calculate the greatest common divisor of k and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q. Let j(d) = -8518*d**2 + 2*d. Calculate j(s(n)).\nAnswer: -76662*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphhjhhhkvt. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a905aa (base 12) in base 6?\nAnswer: 133203534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 1111, 1668?\nAnswer: 2225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170285 is divided by 7401.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/210 - 23*m**4\/84 + 26*m**3\/7 - 3576*m**2. Solve r(z) = 0 for z.\nAnswer: -26, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42 or 5\/5906?\nAnswer: 5\/5906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 669 = 2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*r**5 - r**2 + 2*r - 1 wrt r?\nAnswer: -1780*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*k - 20 = i, 3*i - k + 27 = 0. Let h(c) = c**3 + 7*c**2 - 7*c + 7. Calculate h(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 3*t + 2. Suppose 3*a = -2*a + 20. Let w be j(a). Let v(z) = -6*z + 16. Let q(b) = 2*b - 5. Let x(d) = 16*q(d) + 5*v(d). Calculate x(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1634*o**2*r**3 - 6070*o**2*r**2 - 7442*o*r**3 + 2*o*r**2 - 384*r**3 + r + 1 wrt o?\nAnswer: 3268*r**3 - 12140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (150552\/(-9720) - 9\/(-5) - -5) + 10*1 and (6 - 0)*2\/8.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30533625 divided by 407115.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42695\/22 - -1938. Let d = 98 + -605\/6. Calculate the common denominator of j and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2*c**2 + 337703672*c - 337703672*c.\nAnswer: 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + sqrt(12)\/sqrt(4))**2 + 2 + (sqrt(108)\/sqrt(108))\/sqrt(3) + 1.\nAnswer: -25 + 31*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15992 and 23588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 41. Let f be x(-24). Suppose f*u - 338994 = 10*u. Let h be ((-4)\/10)\/((-2)\/10) - u. Round h to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/g**(1\/15)*g)*((g**22*g)\/g)\/g assuming g is positive.\nAnswer: g**(301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 8*h - 5. Let w(u) = -3*u + 9. Let k be w(6). Let j be c(k). Let s(t) = 3*t**2 - 3*t + 2. What is the smallest common multiple of s(j) and 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Suppose -u = 4*a - 5*u + 8, 2*u = 4*a. Let z(i) = 29*i + a - 2 - 32*i**2 - 31*i. Give z(d(q)).\nAnswer: -128*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.4645g to tonnes.\nAnswer: 0.0000074645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -80, -115, -150, -185?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1793 = 623. Suppose 7*r + q = 5*u + 2*r, r - 686 = -3*u. What is u rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*-3*(sqrt(1404)*3 + sqrt(1404))\/((sqrt(12)\/sqrt(4) + sqrt(3))*1).\nAnswer: 1 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 608 + -602. Solve -9 - b = k + 4*m, 3*k - 35 = 4*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-9)*(-6)\/20)\/((-31599)\/(-35110))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-60)\/(-35))\/((-10)\/(-35)). Let j be 17\/q + 14\/84 - -1. Let m be (-3)\/6*-1*0. Solve m = c - j*g - 23, -g - 10 = g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 < -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -647, -5194, -17565, -41678, -81451?\n\"Answer: -653*w**3 + 6*w**2 + 6*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3541024mm?\nAnswer: 0.0000003541024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 12\/73?\nAnswer: 12\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*i**2 - 14*i**2 + 29*i**2 + (-i - i + i)*(-115 - 32*i + 115) as k*i + y + q*i**2 and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 252509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*h - 68. What is the remainder when 67 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 + 2*q. Let v(n) = 14*n**2 - 6*n. Let h(o) = 7*o**2 + 2*o + 1. Let x be h(-1). Determine x*v(p) + 17*y(p).\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 775\/(-186) - 1\/(-5) and -34\/65.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2. Let n(z) = -4*z + 11. Let i(u) = 8*u - 21. Let y(k) = 6*i(k) + 11*n(k). Let o be y(2). Let x(h) = o - 3 - 2*h. Give x(r(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from ckdcccdccokk?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 41*l**2 + 3*l = 0.\nAnswer: -3\/41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2422 and 218876.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -234*o**3 + o**2 - 2817*o + 5. Let k(d) = -117*d**3 + d**2 - 1409*d + 2. Let a(i) = 2*b(i) - 5*k(i). Find the second derivative of a(q) wrt q.\nAnswer: 702*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 805.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 43b5 - -45?\nAnswer: 440a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*v**5 + 94*v**4 + 2*v**3 + 2*v**2 + 39*v + 15 wrt v?\nAnswer: -540*v**2 + 2256*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l + 32 = 0. Suppose -5*j + l = -j. Let g(t) = -t**2 - 9*t - 9. Let k be g(-7). Sort j, k, 4 in ascending order.\nAnswer: j, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 12. Let j(a) = a**4 + a**3. Let g(z) = -2*z**4 - 4*z**3 - z**2 + z. Let n(x) = t*j(x) + g(x). Determine l so that n(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 464335210 to the nearest one million.\nAnswer: 464000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 0 + 3*u**2 + 0*u + 2\/3*u**3 - 1\/8*u**4. What is p(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - i + 4, -w + i + 2*i - 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 + 5.91837.\nAnswer: 250.91837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 11, -2.\nAnswer: -2, 11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2106311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + 4. Let b(y) = 6*y. Determine b(d).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 - 880 - (-2 + -1)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (3 + 4 + (1 + sqrt(68) + sqrt(68))*-4 + (sqrt(68) - (1*sqrt(68) + 0)))**2)*5.\nAnswer: -2880*sqrt(17) + 130860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1293, 1282, 1269, 1254, 1237?\n\"Answer: -q**2 - 8*q + 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7917 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339806?\nAnswer: 2, 71, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/52)\/((-2)\/(-8)). Let a = -1144295\/26 + 88019\/2. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531294331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 13 = -4*t - 5*i, 0 = -4*i + 20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + 2\/(-9). Suppose q = p - 13 + 1. What is the remainder when 22 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b3 (base 14) in base 16?\nAnswer: -781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(209) + (-3*(sqrt(209) - 1*sqrt(209)) - sqrt(209)))\/(sqrt(176) + sqrt(176)*2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + h**2 - 5*h - 2. Give w(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -0.0826.\nAnswer: 0.5826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 2*z**3 - 3*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 836 - 389*t + 360*t - 4244*t - 838 in the form s + m*t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*2)**2 - ((sqrt(132) - -3*sqrt(132))\/sqrt(12) - sqrt(11)).\nAnswer: -3*sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v + 3*v + 0*v)*(0*v + 0*v - v) - 1 + 1 + v**2 - 113*v - 77*v**2 + 114*v - 33*v**2 to t + u*v**2 + o*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 256 (b) -1\/4 (c) 236 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21728585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -296*h**2 - 104*h - 2. Let m(r) = 591*r**2 + 260*r + 5. Let i(d) = 5*c(d) + 2*m(d). Let x(p) = -2*p. Determine i(x(n)).\nAnswer: -1192*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.102 - 8.302. Let c = j - -9. Let u = c - -2.2. Sort u, -2\/5, 0.1 in increasing order.\nAnswer: -2\/5, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/2 + (4 - 18\/4). Suppose -5*k - 10 = a*p + 2, -p + 16 = -3*k. Find the third derivative of 24*m**4 - 25*m**2 - 42*m**4 + 33*m**p wrt m.\nAnswer: 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51353 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - x - 2. Let q(h) = -2*h**3 - 5*h**2 + 178*h + 10. Give -5*b(m) - q(m).\nAnswer: 2*m**3 - 173*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183*q - 371*q - 379*q - 80*q)*(-2 + 3 + 0).\nAnswer: -647*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 31 - 10. Suppose 5*r = -q*k + 4938, -21*k + 19*k = -4*r + 3946. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*(0 - 1\/(-3)). Suppose 6*r = 7 + 23. Suppose -2*s - 5*m - 16 = 0, -5 = s + 2*m + 1. Solve p = -s*u + r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103\/2 + -53. Which is the nearest to 1? (a) o (b) 4\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11015, -4, 0.5, 3, -1 in ascending order.\nAnswer: -4, -1, 0.5, 3, 11015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.137, -4, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, -4, -0.07, 8, 1188?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 - 98. Sort 3, -2\/7, u, 0.4 in descending order.\nAnswer: 3, u, 0.4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*n**2 - 3*d*n + 11*d + 256*n**2 wrt n?\nAnswer: 4*d + 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*k**3*u**2 + 2*c**2*k**3 + 3*c**2*k*u**2 + 64*c*k**3 - 5*k**2 - 4*k*u**2 wrt k?\nAnswer: -6*c**2*u**2 + 12*c**2 + 384*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 12, i: 1, b: 3}. What is prob of sequence ibtb?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 18 = -32. Solve 4*a - n = 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0976736 to 4 dps.\nAnswer: 0.0977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7909.958 centuries to millennia.\nAnswer: 790.9958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 2\/15*t**6 + t**4 + 37*t - 3\/4*t**5 + 0 + 2\/3*t**3 + 0*t**2. Factor z(l).\nAnswer: l*(l - 2)**2*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-8)*q\/q**(-3\/5))\/((q**(2\/9)*q*q)\/(q\/q**(-3))))**(6\/13) assuming q is positive.\nAnswer: q**(-326\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*f - 9. Let k be (-21)\/f - (-2)\/(-8). Suppose -2*o - k = -7. Let c(h) = 1. Let v(j) = -j + 4. What is o*v(i) - 3*c(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1)\/2 - -12. Suppose 0 = 13106*o - 13057*o - 441. Solve 10*a = p*a + o for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000197931 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 w, and 1 t when three letters picked without replacement from {j: 1, m: 8, t: 2, f: 1, o: 2, w: 1}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 60*f - 42. Let q(m) = m**2. Give j(q(v)).\nAnswer: 60*v**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4546)\/(-14)*(-11 + 10). Let x = -322 - g. Let w = x + -67\/35. Is 2 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*k + 2*h + 57, 0 = 2*k + 4*h + 74. Let q = -26 - k. Is (q\/(-2))\/(7\/(-826)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 3*y + 0*y + (-4*y - 7*y - 4*y)*(-2 + 0 + 4) in the form q*y + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*m**2 + 61*m**2 - 107*m + 18*m**2 - 121*m**2.\nAnswer: 3*m**2 - 107*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2963054 is divided by 322?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-3) + (4\/6)\/2. What is the greatest common divisor of 15 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -18*j - 4. Let r(h) = 14326*h. Give r(u(o)).\nAnswer: -257868*o - 57304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1257? (a) 1 (b) -4 (c) 0.2 (d) -501\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121 and 14520?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 818.3479l in millilitres?\nAnswer: 818347.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3112 - 2195. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 2*k**5\/23 + 7*k**4\/46 + 4*k**3\/69 + 2033. Factor n(x).\nAnswer: 2*x**2*(x + 1)*(5*x + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 127*n + 3678. Determine y(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -149*f - 26. Is 57 a factor of t(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1052 in -6, -1, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229 divided by -1941.\nAnswer: 229\/1941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -5 (c) 0 (d) 27.2 (e) 4\/3 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24902503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 106 - -6?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 4612.\nAnswer: 922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1 = 4. Let x be -4 - -4 - (9 - n). Let m = -6 - x. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16554968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, w: 3, c: 3, d: 1, f: 5}. What is prob of sequence clcf?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 35 + -45 + (2 - -14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*l + 35 = 0, 0*b + 17 = b + 3*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - -1.2. Let y = m + 0.05. Let q = y - -4.85. Which is the closest to 1? (a) -2\/5 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 4 + 17*y + 5 - 48937*y**4 + 48930*y**4 in the form g*y + p*y**2 + v*y**4 + l*y**3 + h and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/5 - 1916*21\/(-210) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 397*u - 3.\nAnswer: -397*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*g + 215. Let r = g - -91. Calculate the greatest common factor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*c = -i + 52*c + 2, 3 = -c. Solve 4*w - 5*y = -0*w - 40, -41 = i*w - 4*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-3 + 3 + -3 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5033 is divided by 823?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*a**2\/7 + 19518*a\/7 - 641456\/7.\nAnswer: -2*(a - 853)*(11*a - 376)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -421*w**4 + 2*w + 2*w**3 + 57*w**2 + 201*w**4 + 15 + 187*w**4 - 2*w**3 wrt w.\nAnswer: -396*w**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 6*w + 4. Let x(o) = 7*o. Let s be x(2). Let f = s - 18. Give l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 4\/7, 0.31, 2.818?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 5*z**4\/8 - 221*z**2. Let x(u) = -50*u**2. Determine d(x(n)).\nAnswer: -750*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 219?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199303000 = 110*a - 97*a. What is a rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 15, r: 3}. What is prob of sequence kr?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.0094 (c) -0.4 (d) 404 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 4, -30, -2.3, -1 in descending order.\nAnswer: 4, 3\/2, -1, -2.3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - n. What is the remainder when i(6) is divided by 2\/(-4 + 3)*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -789.547 and -216.\nAnswer: -1005.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 216, -1, 0.1?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) 0 (c) -4 (d) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4279 + 4282. Let i(h) be the first derivative of -115\/4*h**x + 33\/4*h**5 + 0*h + 35\/24*h**6 + 55\/16*h**4 + 8 + 45\/4*h**2. Find r such that i(r) = 0.\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 608708675*y - 811120444.\nAnswer: 608708675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*z**4 + 1 + (-7 + 0 - 3)*(81*z**2 - 195 + 195)*(-z + 0*z + 3*z)*(-z - z + 0*z) in the form t*z**2 + v*z**4 + i*z**3 + k + d*z and give v.\nAnswer: 3238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 197676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 8 + 12. Let c(h) = 6 - 7*h - 10*h - h**2 + 14*h. Let j be c(x). Is j at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zu when two letters picked without replacement from {u: 2, z: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 160460866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 9\/(-15) - (-3)\/(-5). Let y = -3 - -6. What is u in y*u**2 + 18 - 18*u + 7 + t = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -15 + 3 - 3*u - u + 3*u. Let x be g(-12). Solve 3*p - 3*s - s - 4 = x, 5*s = -p + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 2*v. Let i(j) = 37*j**2 + j + 27. Let x(u) = -4*d(u) + i(u). What is the units digit of x(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 3:53 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soiloolsooiioosilso. What is prob of sequence li?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 0 + 6*(sqrt(7) + -1) - (-5 + (5 + sqrt(847) - sqrt(847)) + -5).\nAnswer: -1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-40))\/(((-2)\/3)\/((-70)\/21))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 2. Let g = 11 - 40. Let f = g + 28.6. Which is the third smallest value? (a) -1 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1)*9\/(-8)*(-562)\/(-281).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230010?\nAnswer: 2, 3, 5, 11, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44.75 - -45. Let r = k - -0.35. Is r >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*o - 62 - 10, j + 2*o - 20 = 0. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m + 8. Suppose 4*o = -m, 5*o - 430 = -3*g - 0*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/4? (a) -4 (b) -5 (c) 2\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-6 - (-159)\/21). Sort n, 3, 51, 4 in ascending order.\nAnswer: n, 3, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 8*h - 3. List the prime factors of v(6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416672731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5209.614 + 5205. Let o = -0.086 + l. Let d = o + 4.8. Are d and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 48040683?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*(-3)\/(-60)*(218\/(-11) - (-12)\/(-66)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-6125)*-50 - (12\/(-7) - -2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 3481*b**6\/30 + 1263*b**4\/4 - 2*b - 1736. What is the third derivative of o(k) wrt k?\nAnswer: 83544*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, 4, 2 in increasing order.\nAnswer: 2, 4, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*s - 304 + 78, s = -2*v + 91. Suppose -v*z = -38*z. Suppose -5*w + 30 = 5*o, -3*o = -w - 30 - z. Solve 25 = -o*j + 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -33, -3, 2 in decreasing order.\nAnswer: 2, -3, -26, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209)\/sqrt(99)*-6)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 12 = -2*o, 0*o - p = 4*o - 4. Solve z + 0 = -o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zon when three letters picked without replacement from zznoonuoozu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) 5\/6 (c) 5 (d) -118\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 46\/7 and 1\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(4*i + 0*i - 2*i)*(2*i**4 - i**4 + i**4).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-4)*5\/3. Which is the nearest to -2\/3? (a) -2\/11 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w - 30*w + 4*n = 0, 5*n = -5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317985242.\nAnswer: 2, 158992621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(1\/4*4). Which is the biggest value? (a) 3 (b) d (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2632*z + 21104 = -4328*z - 25889 + 471553 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (413\/1593 + (-8)\/(-108))*(869\/(-187) - -5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 480666069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2245262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4780325715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 83332553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3089303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**3 - 2*g**2 - 3*g + 4. Let z be i(1). Solve z*t = 2 + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238420 and 819?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 0.1, -2\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, 303, -2\/7, -2, -2050\/21.\nAnswer: -2050\/21, -7\/2, -2, -2\/7, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -21345 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59.57 - 60. Let n = -0.17 - -0.2. Let i = q + n. Sort 0, 0.2, i in ascending order.\nAnswer: i, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1481168\nAnswer: 2962336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 0. Let m(a) = 5*a**2 - 5*a + 3. Let j(o) = 14*o**2 - 14*o + 8. Let g(w) = 4*j(w) - 11*m(w). What are the prime factors of g(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1436, -1443, -1462, -1499, -1560, -1651, -1778, -1947?\n\"Answer: -j**3 - 1435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1756190 to the nearest ten thousand.\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a - 16. Let v = -5 + 1. Let k be r(v). Suppose -2*b + 131 = -3*j, 0 = k*b + b + j - 285. Does 29 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76.21 + -0.79. Let n = d + 55. Let w = n + 22.3. Which is the nearest to -0.1? (a) -5 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3220 + -1835. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9823 and 2679?\nAnswer: 29469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 546 = 10*b. Suppose -38*h + b*h = 5. Determine o so that h*o**2 - 2*o + 2*o**3 - o**3 + 7 - 11*o = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -2*b - 281. Let o = -121 - b. Is 44 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 522989741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, 3\/2, -14432, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 3*y + 4060 = 4066, 0 = 5*w - 3*y + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -28. Let n be a + -1*(-2 - -4). What is the units digit of (-3 + n)*(-7)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 280, 282, 284, 286, 288, 290?\n\"Answer: 2*j + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7637951 rounded to three dps?\nAnswer: 0.764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -387733*t**3 - 66*t**2 - 2*t + 446 wrt t?\nAnswer: -2326398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54285*t**6 - 204*t**2 - 43 wrt t?\nAnswer: 6514200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/((-5)\/55). Which is smaller: j or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(1 + 0 - (2 + 2)). Does 16 divide t\/4 - (-4)\/((-48)\/(-1341))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 18236.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 0.3, -0.143, 0 in decreasing order.\nAnswer: 0.3, 0, -1\/9, -0.143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*16\/(-12)*-3. Let c = -49 - -57. Suppose 1 = -o - 0*d - d, c = -2*o - 4*d. Solve -o*z - 5*l = -22, 0 = -2*z - y*l + 3 + 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/5))**(-8\/13))**(-18)*(c**4\/c**(1\/5))\/(c*c\/((c\/c**(2\/5))\/c)*c*c*c**(-1\/7)) assuming c is positive.\nAnswer: c**(1808\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y - 3*y + 2*y + 10*y - 4*y - 17*y + (2*y - 6*y + 2*y)*(2 - 1 - 2) in the form b*y + q and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -3, 7 in decreasing order.\nAnswer: 7, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775115251 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -125 in -2\/7, -5, 10\/7, -0.2, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -15377\/46 and -333 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337889222 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34, -161, -388, -727, -1190?\n\"Answer: -2*o**3 - 38*o**2 + o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 0 + 0)*(11*g - g**3 + 26 - 16 - 15).\nAnswer: 2*g**4 - 22*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -16*m - 9. Let y(z) = -2*z. Let r(f) = t(f) - 4*y(f). Let u(k) = k + 1. Give -r(x) - 6*u(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*y - 1929, -2*x + 2*y - 3826 = -0*x. Let d = x + 4034. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 330*a**2 + 90*a + 795. List the prime factors of w(-8).\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g - 1\/8*g**4 + g**2 + 0*g**3 + 0 + 0*g**5 - 1\/120*g**6. What is the second derivative of c(u) wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/52)\/(8\/52). Suppose -y*m + 182 = 36. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 6*c**2 - 23*c**2 + 388 + 4*c + 6*c**2.\nAnswer: -5*c**2 + 4*c + 388","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2015508, -4031020, -6046532, -8062044?\n\"Answer: -2015512*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6974 and 3170.\nAnswer: 34870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1109 + -16109. Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-7 - -13) + -3 + -2 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/12)\/(14\/42). Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516550 and 3550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 5*u - 25, -u - 3*a + 10 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (351\/234)\/(3\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**4\/24 + 17*l**3\/6 + 25*l**2. Let c be w(15). What is the smallest value in -2, c, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**2\/3 + 42560*j\/3 + 28380 = 0.\nAnswer: -2, 8514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3461295 centimeters?\nAnswer: 0.000003461295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2 + 47*g - 20. Give d(5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927885.\nAnswer: 5, 585577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -17478 and -21916075.593.\nAnswer: -21933553.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - g**2 + 1. Suppose -2*a - 4 = 3*z, -a - 5*z = -0 + 9. Let v be k(a). Is v >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*s - 0*b + 976, -584 = 3*s - 4*b. Let r be 4*4\/240*-2949. Let y = r - s. What is the closest to -2\/7 in 0.3, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*l + 7 + 5, -y = -3*l - 10. Let m be 0 - l*33\/6. Suppose -41 = -3*c - m. Solve 2*r + 5*n = 24, 3*r + 2*n - c = 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 1879 = -2*v + 263, 2*w - 5*v - 1613 = 0. Suppose 17 = -12*a + w. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**3\/6 + 5*t**2 - 21*t\/2 - 588. What is w in x(w) = 0?\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1941.9 to 0 dps.\nAnswer: -1942","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 1156.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29110?\nAnswer: 2, 5, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.9 (c) 0 (d) -1\/3 (e) 0.49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -42*k - 2. Let o(z) = -127*z - 5. Determine 3*o(r) - 8*t(r).\nAnswer: -45*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.1 - 5.7. Put -5, -4, 0.5, v in descending order.\nAnswer: 0.5, v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 79534556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 479\/3 - 161. Which is the third smallest value? (a) 4 (b) i (c) -7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76244067 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -1c4005a?\nAnswer: -1c4005c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, -38\/5, -2\/7, -4\/3 in descending order.\nAnswer: 0.4, 0, -2\/7, -4\/3, -38\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-6 + 6 - 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34263, 136894, 307947, 547422, 855319, 1231638, 1676379?\n\"Answer: 34211*m**2 - 2*m + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622137752.\nAnswer: 2, 3, 834433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/56 - 18\/42.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 5*n - 20, -2*c - 32*n + 37*n = -22 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 + p - 1. Let a(u) = -12*u**3 - 9*u**2 + 9*u - 30. Let g(f) = a(f) - 9*s(f). What is the derivative of g(z) wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v - 831 = 2618 - 1062 + 3733. Let c = 2 + 4. What is the remainder when v is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n = 4*q + 138, 3*q + 5*n - 27 = 3*q + q + q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40775.37 rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5)*5\/(-4). Suppose -25 = -n - 4*f, 3*n + 2*f - 6 = 29. Suppose -4*a - 4*u - 7 = n, -4*a = 2*u + 10. Is a bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -68*t - 6. Let z be b(-2). Let l be (-500)\/z + 2\/(-13). Let c(r) = 3*r**2 + 3*r - 7. Calculate the remainder when c(l) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/12 - -3*85\/450. Factor 2\/5 + 8\/5*h + f*h**4 + 12\/5*h**2 + 8\/5*h**3.\nAnswer: 2*(h + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7360 and 1688960?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1310*d - 34*d**2 + 1310*d)*(13*d**2 + 9*d**2 - 6*d**2)*(4 - 3 + 1).\nAnswer: -1088*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8 + 2 + 2*g + 8 - 23. Calculate j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 41?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276543047 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2 - 8 - 2*a**2 + 3*a - a**3 + 0*a. Suppose 10*k - 60 = -0. What is the tens digit of x(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0718693 hours to seconds.\nAnswer: 258.72948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*z**3 + 53*z**3 - 75*z**3 + (3*z**2 - 3*z**2 + z**2)*(-z + 2*z + z) + z**2 + 2*z**3 - z**2 + 5*z**3 + 2*z**3 + 3*z**3.\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.729 - 24.829. Let m = 250 + -3252\/13. Which is the third smallest value? (a) 0 (b) h (c) 4\/5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 9 + 8 = 2*l, 2*l = -2*v + 2. Solve 21 = v*y + 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447806951 + 0.266182?\nAnswer: 447806951.266182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v - 2*v + 34 - 24. Let j be m(-9). Let l(r) = r**3 + r**2. Give l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-4)\/(-72)*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by 34?\nAnswer: 32\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 + -74. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/15)*o\/((o*o**(-4)*o*o)\/o)*o)\/(o**(-1\/3)*o)**16)**(2\/49) assuming o is positive.\nAnswer: o**(-68\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 14*k + 9. Let n(l) = -3*l**2 + 36*l - 18. Give 2*n(j) + 5*w(j).\nAnswer: 4*j**2 + 2*j + 9","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Are 1468 and 1447 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8575 and 280?\nAnswer: 68600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 13) + 8 - -16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 8*v + 2. Let y(o) = 4*o**2 - 32*o + 8. Let f(m) = -2*y(m) + 9*z(m). Suppose -3*p + 3*s = -6, -3*p = -4*s - 15 + 12. What is f(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.22 + 19.2197482. Round i to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0843 in 3, 122, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**3 - 16*d**2 + 9*d + 1. Let z(p) = 3*p**3 + p**2 - 3*p. Let j(c) = g(c) + 2*z(c). Determine j(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g**1)\/(g\/(g*(g**(1\/4)\/g)\/g)*(g\/(g*g**(-2\/7)))\/g))**(40\/7) assuming g is positive.\nAnswer: g**(-570\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-569*(3825\/891 + -4). Let o = 500 + p. Let u = -1\/729 + -14332\/3645. Calculate the common denominator of o and u.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -140, -2, 5, -92.\nAnswer: -140, -92, -7, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 45\/(-10))*-4 + -1. Suppose i*d - 184 = 271. Is 34 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + ((-247)\/(-22610))\/(4\/1114). Let j = n + 1\/68. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkr when three letters picked without replacement from vvkrkkkrrrvrr.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/3)\/(3\/6). Suppose 3*u - 1 + 12 = r*i, 4*u = -4*i - 8. Let v = i + 33. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 + -109. Suppose 3*z = 7*z - m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-121)\/(-22))\/(-11) - 15\/2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81087.\nAnswer: 3, 151, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (19\/4)\/((310\/40)\/31)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80461286153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - -6*(-2*sqrt(108) + sqrt(108)))\/(sqrt(16)*4))\/(sqrt(81)*-5 + (sqrt(729)*-3 - sqrt(729))).\nAnswer: 5*sqrt(3)\/408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/222 and 105\/52.\nAnswer: 5772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f + 3. Let z(j) = 5*j + 21. Let q(u) = -1. Let x(n) = 5*q(n) + z(n). Suppose 0 = 2*o + 4*a + 16, o + 0*a + 5*a + 14 = 0. Give o*x(i) + 22*w(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -1, 813, -9, 2 in ascending order.\nAnswer: -9, -5, -2, -1, 2, 813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-287)\/(-80))\/7 + (3996\/(-180) - -22)\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*w - 3*w. Let t = w + 10. Let a(z) be the third derivative of z**4\/6 - z**3\/6 + z**2. Calculate a(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45078, 90147, 135216, 180285, 225354, 270423?\nAnswer: 315492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/13 + 288*m**4\/13 - 294*m**3\/13 - 40964*m**2\/13 + 197568*m\/13 = 0 for m.\nAnswer: -144, -14, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + -1 + (-1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22540772.91 rounded to the nearest one hundred thousand?\nAnswer: 22500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 20*l - 16. Let j be f(16). What is the greatest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 - 5*a. Let s(n) = n**2 - n. Let q(y) = i(y) - 2*s(y). Suppose 1134*c = -3203 + 935. What is q(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-24))\/((-9)\/12 + 1). Let p(y) be the second derivative of 0 + 2\/3*y**3 - 7\/10*y**5 + 1\/6*y**4 - 2\/5*y**6 + y + 0*y**m. Solve p(z) = 0.\nAnswer: -1, -2\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**5\/60 - 7*u**4\/24 + 5*u**3\/6 - 3*u**2. Let g be z(5). Let o = g + 12. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 8265279005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 676 - 672. Solve 0 = -0*l + 4*l - 8, -o - s*l = -11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*3986.\nAnswer: 51818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*c - 40, -5*c + 53 - 35 = -3*p. Solve 0 = p*t - 3*s + 20, 26*t - 23*t + 15 = 5*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + -1 + sqrt(1216) + -4 + 3*(sqrt(1216) + 1*sqrt(1216) + sqrt(475)*-6))**2.\nAnswer: -68*sqrt(19) + 21965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/((-2)\/(-2)))\/((-1169)\/334). Solve -5*s = -12*h + 15*h - 22, n*s - 18 = -2*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/104 - 1341\/13. Let y = 7192 + -7194. Is x bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose 2 = y*w - w. Is 9 a factor of -5 - -6 - (w + -25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48 - (26 + -20) - (-10 - -8)) + 1\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -105)*(-1 - -2) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 2 - 2*f - 3*f**3 + 0 - f in the form y*f**3 + w + g*f + p*f**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60242 - -1320?\nAnswer: 61562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 a factor of 792994069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 470496629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m. Suppose -8*i + 8 + 8 = 0. Let d(b) = -b**2 + 1. Let g(t) = -t**2 + 2. Let y(q) = i*g(q) - 4*d(q). Calculate y(w(r)).\nAnswer: 98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 12:12 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 432776759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*w + 435 + 77*w + 457 - 811 to d + g*w and give g.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (-4 + 5) - 1. Let q(h) = -3*h**3 + 4*h**2 - 4*h - 6. Let v be q(4). Let m be v\/35 + (-4)\/(-14). Sort 6, y, m in ascending order.\nAnswer: m, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -127, -412, -979, -1924?\nAnswer: -3343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 3*t - 3. What is d(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c - 37. Let q be p(5). Let d(o) = -o**2 + 5*o + 8. Let t be d(6). Factor -b - t*b**4 + b - 4*b**q + 2 + 2*b + 2*b.\nAnswer: -2*(b - 1)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*s - 19*s - l - 20, 0 = 4*s + 3*l - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:56 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3923137 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1236 by -309.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/336 and -137\/12.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2041497*v**4 - 8*v**3 - 212*v**2 - 275613 wrt v.\nAnswer: -48995928*v - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115623990 to the power of 1\/2, to the nearest integer?\nAnswer: 10753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65855 * -423.\nAnswer: -27856665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*b = 8. Let n be (b\/(-5) - -1)*5\/2. Put -3, 9, n in ascending order.\nAnswer: -3, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v = 1586 - 1390 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 4. Suppose 3*g + r = 7, -2*g - 2*r + 8 = g. Suppose g*l - 39 = -1. Calculate the remainder when l is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 3*m + 12. What is the least common multiple of 14 and b(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22000202 (base 4) in base 8?\nAnswer: -120042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -9*w**3 - 3*w**2 - 3. Let n(a) = -17*a**3 - 5*a**2 - 7. Let l(b) = 5*i(b) - 3*n(b). What is the first derivative of l(r) wrt r?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -64, -110, -158, -208, -260, -314, -370?\n\"Answer: -b**2 - 43*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 921*a**3 - 2235*a**2 - 8. Let t(y) = 1855*y**3 - 4471*y**2 - 18. Let v(k) = 9*l(k) - 4*t(k). Find the third derivative of v(f) wrt f.\nAnswer: 5214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11041, 42990, 96193, 170614, 266217, 382966, 520825?\nAnswer: 679758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8650?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let g(x) = -c - 170*x - 195*x + 10 - 292*x. Is g(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -5, -3, -0.83?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 - 46*i - 15. Let p be b(-15). Suppose p = 4*v + 4, -3*l = -5*v - 41. Calculate the greatest common divisor of l and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9f92b4 + -3?\nAnswer: -9f92b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 385156 and 486796.\nAnswer: 871952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.11813684 times -0.4\nAnswer: -0.047254736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*78216\nAnswer: -31286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - 0.36. Suppose 30 = 5*t - 5*r, 3*t - r - 2 = -2*r. Suppose t*p + 169 = 167. What is the third smallest value in -0.02, p, c, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4404233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10507421.112 - -18747.112. Let f = -10488709.000024 - t. Let o = f - -35. What is o rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:06 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + -3 - (-4 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73334283?\nAnswer: 3, 11, 2222251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 20*q + 22. Let k be w(19). Put 4, -4, k in ascending order.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -18*r. Let i be s(-1). Let h be 238\/i + 4\/(-18). Suppose -y + 185 = 42. Calculate the highest common factor of h and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(9\/4)*33\/22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l + 175 - 175.\nAnswer: -32*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**4 - 2*b**2 - 2*b - 29 + 61 - 4*b**3 - 34 as w*b + m*b**3 + y*b**2 + n*b**4 + x and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - z**3 - 2*z - 3*z + 6 + 14*z + z**2 to the form v*z**3 + l*z**2 + w*z + a and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3774 - 1.3774. Which is the biggest value? (a) -44 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.04, 2\/5, -1\/9 in decreasing order.\nAnswer: 2, 2\/5, 0.04, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*g + 346, 3*y - 149 - 121 = -3*g. Suppose -2*z = -i + 86, -2*i + 4*z = -i - y. Calculate the greatest common divisor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (48\/45 + (-6)\/15)*6. Suppose -o*h + 1228 = -2220. List the prime factors of (h\/8 - -3) + (-3)\/(-12).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l. Let y = 18 + -17. Let v(d) = -59*d + 1 - y + 87*d. Calculate m(v(w)).\nAnswer: 56*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -706 + 2*r + 372 - 3*r + 350 + 7*r**3 - 2*r**2 in the form a + u*r**3 + c*r**2 + z*r and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3)*-1*(-307 + 313). Put 0.05, -1.7, z in increasing order.\nAnswer: -1.7, 0.05, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3639*y - 770 + 2299 = -630*y + 25601 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49260139.\nAnswer: 49260139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 193*c*y**3 + 154*y**3 wrt c?\nAnswer: 193*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/132770 and -66\/30175.\nAnswer: 663850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3986987078.\nAnswer: -3986987082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3861 + 3861.1. Which is the smallest value? (a) -2 (b) m (c) -0.5 (d) -42.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-9 - -1) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/(12040\/(-105)) - 229\/1136*2?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q - 8 + 40 - 85*q + 50*q.\nAnswer: q + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**5\/60 + a**4\/18 + a**3\/18 + 12*a - 1. Let v(m) be the first derivative of u(m). Suppose v(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2200 (base 3) to base 16\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3884.\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r - 34281 = -48357. Calculate the remainder when r is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-286)*-92 - (-8)\/2. What is the second smallest value in -0.4, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3997543.\nAnswer: 11, 19, 31, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78854.42cm to micrometers.\nAnswer: 788544200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/4 - 2*p**2. Let t(x) be the first derivative of -x**3 - 5190. Give q(t(v)).\nAnswer: -135*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (57 + (89 - 58))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57914, -231673, -521276, -926723, -1448014?\n\"Answer: -57922*j**2 + 7*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -820, -1640, -2460, -3280, -4100, -4920?\nAnswer: -5740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -26*u**2 + 10*u - 10. Let d(g) = 2*g. Give y(d(a)).\nAnswer: -104*a**2 + 20*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -3.9. Let s = i + -3. Which is the smallest value? (a) s (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -6. Let s = a - 7. Suppose -28 = w - 3*w. Solve s*h = -8, -6*m = -m - 2*h - w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let c = -105\/2 + 54. Which is greater: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 0.095?\nAnswer: -43.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 3*q**2 + 2*q**2)*(5*q + 3*q**2 - 5*q) - 2442*q**4 + 5257*q**4 - 1391*q**4.\nAnswer: 1430*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4412059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1729 and 0.2?\nAnswer: 345.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/78 - 3\/18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -1)\/(-2*1). Suppose 2*d - 27 - 17 = 0. Calculate the remainder when d is divided by 7 + (1 - 0 - i).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734102 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 5*r**3\/3 + 36*r**2 - 203*r - 361. Differentiate c(v) wrt v.\nAnswer: 10*v + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 10*b**2 - 8 + (0*b - 5*b + 3*b)*(-2*b + 2*b - 2*b) - 2 + 2 - 2*b**2 as o + u*b + g*b**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + 3 + 3 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-4))\/3*0. Let w be (-3)\/6 - 33\/(-2). Suppose -w = -6*y + 2*y. Solve y*m - 1 - 7 = c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35a31 + 37a?\nAnswer: -35695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 20*f**5 + 5636*f**4 + 9976*f**3 - 29216*f**2 - 26880*f = 0.\nAnswer: -280, -3, -4\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 420 = 2*s - 426, 0 = -4*b - 3*s + 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-3))\/(462\/(-792))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 19*q**2. Let t(i) = 11*i - 2*i + 9*i - 3*i - 11*i. Determine t(h(a)).\nAnswer: 76*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + r + 2 = -0, -5*r - 1 = -h. Are h and -1\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*(o\/o**(-17))\/o*o)\/o))\/(o*o**(-4\/29)) assuming o is positive.\nAnswer: o**(-518\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/14 (b) -5 (c) -0.2 (d) -4 (e) 15 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*h - 47, -4*s + 5*h + 86 = -39. Solve -3*a - 12 - 28 = 5*f, s = -3*a - 4*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -473, -771, -1127, -1559, -2085, -2723?\nAnswer: -3491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16006, -16011, -16016, -16021, -16026, -16031?\n\"Answer: -5*i - 16001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-904 - -919) + -39 + 2\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 1. Suppose 0 = -2*o, -2*w - 3*o = -8*o + 8. Let x = 9 + w. Suppose -4*p = 0, 2*f - 5*p + 9 = x*f. Calculate j(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-12) - (8 - 1164\/144). What is the closest to -3\/41 in 0.2, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 1 - (-7 + -7) - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -5, 3497, -1\/6, 5 in decreasing order.\nAnswer: 3497, 5, 2, -1\/6, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - z - 30 = 0, -201349*z = 6*a - 201347*z + 28 + 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -96, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o - 5*y = -19, -2*y = o - 13. Suppose o*a = -6 - 0. Let s be (-30)\/(-9) - a\/3. Solve -s*p = 4 - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*b - 87*b + 318*b - 55*b.\nAnswer: 135*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - 9*o**2 - 10*o - 31. List the prime factors of b(-8).\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187588800.\nAnswer: 2, 3, 5, 7, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -290.4 (b) -7 (c) -0.5 (d) -4 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 - -1031\/7. Let m = -114 - -103.8. Let p = m - 0.8. Which is the nearest to p? (a) -3 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16698427 is divided by 23096.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w + 3 = x, 2*x - 5*w - 6 = 0. Let m(h) = -2 + 10*h - 2 - x. Let r be m(-8). What is r rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvdbewj. What is prob of sequence wjb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 18*y**2 + 33*y + 708. What is the units digit of t(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22836 greater than or equal to 34360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p**3 + p**2 + p. Let g = 18 + -19. What is the remainder when 151 is divided by i(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-123)\/8856*-24*(-12)\/106?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 3. Let z be y(1). Let b be (8 - 8)*1\/z. Let c(a) = a - 15. Give c(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 8. Let v be f(-6). Suppose -5*g - 3*w = w - 92, -v*g - w = -35. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -3 (c) 0.5 (d) 12 (e) 76 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130906 - 66689. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 * -0.1.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 7*v**2 + v + 9. Let n be f(-7). Suppose l - n*i - 2*i - 17 = 0, -3*i = 0. Let k = l - -2. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) -18 (c) -0.95 (d) 0.5 (e) 3 (f) -4 (g) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -271\/2 + 815\/6. What is the closest to 0 in p, 3\/4, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -2*s + 7, 28*s - 131 = 41*u + 24*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from huvkprrhkrrukur?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*k, 3*n = 3*k - 120 - 81. Let q be (-25)\/5 + n\/(-6). Let r(t) = -t**2 + 5*t + 12. Calculate r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -268 - -275. Let o(w) = -20*w**2 - 12*w. Let s(i) = 4*i - 2*i**2 + 0*i + 2*i + 12*i**2. Let b(k) = x*s(k) + 4*o(k). Factor b(f).\nAnswer: -2*f*(5*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25196?\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-5\/2))\/(c*c**(3\/7)*c))**(16\/3))**(-2\/33) assuming c is positive.\nAnswer: c**(-80\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -8. Let o(k) = 0*k - 3*k - 2*k + l*k. Let h(j) = -j - 2. Let c(b) = -1. Let i(f) = 4*c(f) - 2*h(f). What is i(o(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 74 = -5*m + 24, 162 = -29*s + 3*m for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/5 + 1466*v**3\/5 - 730853*v**2\/5 + 26536508*v - 877788660 = 0 for v.\nAnswer: 42, 394, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - 17 - -10 - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -200, -6, 335, 3, -0.01?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 129*p**2. Let a(i) = 2. Suppose -5*f = -5*v, 0 = 63*v - 61*v - 3*f - 1. Let j(u) = u - 1. Let d(k) = v*a(k) - 2*j(k). Calculate d(n(z)).\nAnswer: -258*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -22. Is g at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = u + 4 + 9, 4*u + n = 5. Let a(x) = 5*x - 10 + 0 - u*x. Let m(c) = -c + 1. Let d(s) = a(s) + 2*m(s). What is d(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2 - 44*c + 136. Calculate y(17).\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 314159449.999933 + -314159578. Let m = -0.42 + -127.58. Let a = m - f. What is a rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/7 + (9 + 15)\/12. Factor -m*t - 27\/7 - 3\/7*t**4 + 12\/7*t**3 + 6\/7*t**2.\nAnswer: -3*(t - 3)**2*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 458 (base 12) to base 10.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 8:35 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37061771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccddccccc. Give prob of sequence dc.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 435 - 276. Is q a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -158790, -4\/5, -0.4, 5\/3 in ascending order.\nAnswer: -158790, -37, -4\/5, -0.4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/10789504 and 49\/250272.\nAnswer: 97105536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p = -35*p - 106. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-11 - (0 + -2)) + 32 + 34.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*u**4 - 114*u**4 + 675*u**4 + 668*u**4 - 6067 wrt u.\nAnswer: 5256*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, -15, -135, -301, -513?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -273*v**3 + 2*v**2 - 33*v + 24 wrt v.\nAnswer: -1638*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - (sqrt(102) + sqrt(102)*5))*6)\/sqrt(6))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 4*g - 27 = f, 0 = -4*f + g - 159. Suppose v + 96 = 3*u + 56, 4*u + 47 = -v. Let z = f - v. Calculate the highest common divisor of 28 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 + 56*d - 2. Let j(h) = 8*h**2 + 111*h - 4. Give 3*j(b) - 5*z(b).\nAnswer: -b**2 + 53*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6578\/552)\/(-143)*84.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*i**5 - 4\/5*i + 2*i**4 - 18\/5*i**3 + 14\/5*i**2 + 0.\nAnswer: -2*i*(i - 2)*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2553491 tonnes to milligrams.\nAnswer: 255349100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 801848 and 20?\nAnswer: 4009240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0*t**3 + 50*t + 0 + 0*t**2 - 5\/12*t**4. Let b(p) = -11*p. Calculate b(i(z)).\nAnswer: 55*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 199*s + 792. Calculate z(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330376 is divided by 18350.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 5*u**3 + 13*u**3 - 1325*u**2 + 3*u**3 + u**3 + 1331*u**2 + (4*u - 2*u - 4*u)*(3*u**2 - 3*u**2 - 2*u**2).\nAnswer: 24*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.2 + 0.2. Let a = -22607051 + 22607038.9999979. Let u = a - l. What is u rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.818 - -38.082. Let s = -36.9 + y. Which is the closest to -5? (a) s (b) 1 (c) -3\/2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232 (base 8) to base 4.\nAnswer: 22122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 2*l - 4*l + (-2 - 1 - 1)*(l + 0*l + 2*l))*(-7*l**3 - 5*l**3 + 13*l**3).\nAnswer: -14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2. Let i(g) = g**3 - 4*g**2 + g - 2. Let r be i(4). Let n(f) = 3*f + r*f + 1 - 1. Calculate q(n(s)).\nAnswer: -75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 33\/7, 3, -10 in descending order.\nAnswer: 33\/7, 4, 3, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 692654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.26 - 19.26. Let h = a - -15. Let i = 3.999942 + h. Round i to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 28. What is z(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-29)\/1)\/(-7 + 6). Let o = q - 27. What is the remainder when 6 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 1, t: 1, j: 1, y: 1, x: 1}. What is prob of picking 1 e, 2 y, and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((7 + -2)\/(-15)). Let q(u) = -9*u**3 + u + 3. Let l(h) = -17*h**3 + h + 5. Let k(z) = x*l(z) - 5*q(z). Let t(o) = o**3. What is -k(v) - 4*t(v)?\nAnswer: 2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 244507.\nAnswer: 2\/244507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-12))\/(1\/(-6)). Let f be 8\/(-44) + a\/(-22). Suppose f = 2*i + 3 - 9. Solve 2*m - 3 = i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - 60*x + 116. Calculate l(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -35*p**2 + p. Let m(k) = -104*k**2 + 4*k + 1. Determine 2*m(o) - 7*x(o).\nAnswer: 37*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -140*b + 144*b - 4*m, 2*m + 10 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:55 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01078951258 rounded to four decimal places?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-12))\/((-1)\/(-2)). Let x(k) = k**3 + 3*k**2 - 3*k - 7. Let m be x(z). Solve -c - 2*y + 5 = -0, m*y = -2*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70 and 10480.5.\nAnswer: -733635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44736 - 89471 + 44735 + 3*f**3 + 0*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 2238*c**2\/7 + 87984*c + 5725728\/7.\nAnswer: 2*(c - 564)**2*(c + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -783, -3256, -7431, -13308, -20887?\n\"Answer: -851*c**2 + 80*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 670726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j + 3*j**2 - 3*j + 15*j + 3.\nAnswer: 3*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x. Let b(g) = -9*g. Determine y(b(t)).\nAnswer: -72*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -42546*f - 973*f**3 - 2 - 1220*f**3 + 42546*f in the form t*f**2 + g*f + l + d*f**3 and give d.\nAnswer: -2193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13633412?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*10\/(-108))\/(-9*(-22)\/396)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 64 + -52 + 13482\/2. What is s rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234838663.\nAnswer: 17, 13814039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let d = 1.7 - 9.4. Let s = 4.7 + d. Which is the closest to w? (a) s (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69554920, 69554919, 69554918, 69554917, 69554916, 69554915?\nAnswer: 69554914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -430191\nAnswer: -12905.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 2*i**2 - 1. Let g(z) = -113*z**3 - 14*z**2 - 7. Calculate -35*d(n) + 5*g(n).\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602583 is divided by 320499.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 + 5*g - 4. Let i be x(3). Suppose -l - 2*l + i*s + 1478 = 0, 2464 = 5*l - 3*s. Let q = l - 289. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3 = 2*u, 13*u = 9*u + 4*z - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -409 - -413. Sort -1, 0.5, -6.3, 2, q in descending order.\nAnswer: q, 2, 0.5, -1, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 0 + (-4 - 6 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5 = -0*g. Let j(v) = -v**3 + 11*v**2 - 4*v - 4. Let n(s) = -s**3 + 12*s**2 - 4*s - 4. Let a(w) = 6*j(w) - 5*n(w). Calculate a(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -951*l + 6701. Let j be o(7). What is the greatest common factor of 4631 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 15*m - 327. Let v(y) = y**2 + 20*y - 326. Let k(c) = -3*t(c) + 2*v(c). Calculate k(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/233? (a) -4039 (b) -2\/3 (c) 0.1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:59 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/40 - s**4\/4 - 2*s**3 + 16*s**2 - 22*s. Factor m(d).\nAnswer: (d - 8)*(d - 2)*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*k + 95507 - 101499 = 0 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 91 = -45*g + 89*g - 39*g, 5*g + 213*a - 218*a = 85 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28, 13, -20, -77, -164, -287?\n\"Answer: -q**3 - 3*q**2 + q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3 (b) 0.5202 (c) -206.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 179005*k + 6802186. What is d(-38)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9524, 9573, 9626, 9683, 9744?\n\"Answer: 2*f**2 + 43*f + 9479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -11 + 6. Suppose -3*s + 4*s + 5*r = 142, -d*s + 798 = 3*r. What are the prime factors of ((-3)\/(-9))\/(2\/s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4 = -2*t + 2*z, 4*t + 16 = -2*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 710287, 710285, 710283, 710281, 710279, 710277?\nAnswer: 710275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11258 - 6554. Is 84 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 20.1. Let k = -5.6 - i. Let s = 14 - k. Which is the nearest to 6? (a) s (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 42*j**2 + 313*j + 73. Give r(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6241*q - 6322*q - 81 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 - b**3 + 1 - 5*b**3.\nAnswer: -9*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 36. Let z be 12\/j*(-1 + -7). Suppose z - 13 = -2*w. Solve -w*h + 31 = -4*a - 2*h, -a + 5*h = 29 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -28 + 24 - 10*b**2 + 4*b**3 - 5*b**3 - 9 + 9*b. Calculate the remainder when s(-11) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4362 divided by 2\nAnswer: -2181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146312 = -64*d + 65*d. Suppose d = 15*u + 1397. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.4 (c) 1\/2 (d) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiioooiioiii. Give prob of picking 2 o.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 1143 = -21*b. Suppose -115 = 19*j - 24*j. What is the remainder when b is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 10129 = 3*i - 23945. Is 157 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 321 + 36 + 1026)*(-23 + 31*u**3 + 23) to v*u + f + r*u**2 + g*u**3 and give g.\nAnswer: 43059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 78235771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -198567 divided by 66189\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68974049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6935037 to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*m + 203*m + 116*m in the form d*m + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36757 and 103479054?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 8*s + 81. Give m(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289573740 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000680713 rounded to six decimal places?\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2042 - 3?\nAnswer: -2045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-125)\/30)\/(-1) + 32\/(-8). What is the closest to 1\/4 in 0, 5, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 82?\nAnswer: -45\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2090484 divided by -1045242.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6578 by 143.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1883 * -10.2.\nAnswer: -1.92066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*v - 212*v + 949*v in the form y + n*v and give n.\nAnswer: 935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -49 - 278*m + 136*m + 136*m. Let t be b(-9). Suppose o - 6 + t = 0. Calculate the least common multiple of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-682 + 700 - (1 - 11)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212022000 (base 3) to base 11.\nAnswer: -1183a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428948 is divided by 4242.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/(-966) - -1*10\/35. Do l and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 7, q: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 527989.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 7. Suppose -q = -6*q - 15. Let x be o(q). Is -5 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.4, -3\/4, 383\/8?\nAnswer: 383\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -147, -159?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1*sqrt(198) + sqrt(198)))\/(sqrt(11) + (sqrt(55) - sqrt(110)\/sqrt(2))\/sqrt(5)))\/((sqrt(189)\/(sqrt(7)*-1))\/(sqrt(48)\/sqrt(4) + sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -6*c**2 - 9196*c + 36880 = 0.\nAnswer: -4610\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 8 = -16*g. Suppose g*b - 6*b + 8 = 0. Is 4\/b*1256\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13540000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 50*q - 178. Let d be g(5). What are the prime factors of d*((-300)\/(-32) + (-15)\/40)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -8 - (8 - (-2 + 7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16671705?\nAnswer: 3, 5, 1111447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/115240 and 11\/268?\nAnswer: 115240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4240.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (494\/18 + -27)*(-6)\/(-4)*1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 16*s. Let v be (-14)\/3*(-39)\/26 - (17 - 0). Calculate g(v).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mssmm. What is prob of sequence mmsm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196743*0.6.\nAnswer: 118045.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -5, 601, 3 in decreasing order.\nAnswer: 601, 3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyypp. Give prob of picking 3 y and 1 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - 5*y)*(0*y**3 + 2*y**3 + 0*y**3) - 2 - 14*y + 14*y + 10*y**4.\nAnswer: 8*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/7*b**4 + 8*b - 6\/7*b**3 - 2\/7*b**5 + 0 - 64\/7*b**2 = 0. Calculate b.\nAnswer: -2, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 9450?\nAnswer: -9452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013404 rounded to five dps?\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 4. Suppose -l*q + 658 = -35. Suppose 0 = 5*s - 78 - 27. What is the highest common divisor of s and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3856 (b) -3 (c) 0 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**3*p - 30*i**3 + i**2*p - 7*i*p - 333*i wrt i.\nAnswer: -24*i*p - 180*i + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/36)\/((-3)\/(-9)))\/(2\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.4 - -7. Let u = -0.7 + i. Which is the smallest value? (a) 5 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**7\/504 + o**6\/48 + 3*o**5\/20 - 3*o**2. Let b(d) be the third derivative of c(d). Differentiate b(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uumpucpppupj. What is prob of sequence pjpu?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156026?\nAnswer: 2, 13, 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 13. Let h be d(-11). Solve 2*y - 3*y + 12 = h*w, 5*y + 5 = 3*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60425111 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15976590 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:42 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54\/13*k**2 + 2\/13*k**4 - 18\/13*k**3 - 54\/13*k + 0 = 0 for k.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27004\/(-30) + 10*(-4)\/(-300). Let b = z - -1739. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 7. Let p(i) = -i + 3. Let b be (-87)\/(6\/16*-2). Let q = -111 + b. Calculate q*p(f) + 2*z(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 65772 divided by -1044?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13376824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**3\/3 + 1. Let k(h) be the first derivative of 53 + 0*h**2 + 0*h - 1\/3*h**3. Determine y(k(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/108 and 133\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*j - 14 = 0, 0 = -3*j - 2 + 5. Suppose -2*v + 3 = 11, 7 = d*o - 3*v. Let u be o - (9\/((-36)\/160) - 1). Is u at most 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (9 + -2)) + (10 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*f + p, 0 = f + 4*f + 2*p. Let i(s) = 5*s**f - 14*s + 0*s**2 + 14*s. Let b(h) = h**2. Calculate b(i(c)).\nAnswer: 25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -79*b**3 - 3*b**2 - 2*b - 6. Let f be j(-3). Let q be (f\/(-72))\/(1\/(-44)). Let p = 12899\/10 - q. Find the common denominator of 95\/6 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-430)\/(-36) - (-18 + 24))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millisecond in microseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 23. Let p be 1*3\/(q\/140). What is the highest common divisor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6140 = -t - 5*o, 3*t + o - 18404 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**2 + 3. Let w(y) = 4*y. Calculate w(c(a)).\nAnswer: 24*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11955.88358 rounded to the nearest one hundred?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**3\/3 + 3*k - 1. Let i be z(0). Solve -3*r - 2*c = 13, 2*r - i*r - 3*c = 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30360760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - o**3 - 123*o + 5*o**3 + 3*o**3.\nAnswer: 2*o**3 - 123*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*s**5 + 44*s**4 - 948*s**3 + 1140*s**2 - 452*s + 48 = 0 for s.\nAnswer: -3, 1\/6, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (4 - (-3 + -10)) + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(2\/7)*a*a**5*(a\/a**10)\/((a**(-3\/5)*a)\/a) assuming a is positive.\nAnswer: a**(-59\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 - 25*o - 8. Let b be h(-6). Calculate the remainder when 5 + (-363)\/(b + -1) is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.724752 millimeters?\nAnswer: 0.5724752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (91 - 80) + 1 + -1 + 52.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -61, -1, -103, 45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-540)\/50 - -11) + 30409\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4252240563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (-279)\/(-21))*(0 - 7). What are the prime factors of (-12)\/f + 903\/18?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 38 = 14. Calculate the lowest common multiple of 3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 26*f**2 + 108*f - 37. Let a be i(-6). Solve 26 = -a*d + 670*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110101 (base 2) to base 12.\nAnswer: -499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) + 14\/(-10). Let a = -3 + -4. Let i = a - -20\/3. Which is smaller: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d**2 + 0*d**2 + d**2)*(4 - 2 - 5)*(3 + 1 - 2).\nAnswer: 66*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*m**3 + 880 + 39*m**3 - 948 - 2*m**2 + 3*m**2.\nAnswer: 502*m**3 + m**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -743.508 + 743.6. What is the nearest to -11 in 0.5, -2\/3, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.316 in 2, -6, 7, 4, 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2929 and -51 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1.26 * 8.184768\nAnswer: 10.31280768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*m + 20465 = 7357 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39599 by 50.\nAnswer: 39599\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*((-33)\/165 - 27\/(-10)) - -1570. Round s to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -14 - 35*s**2 + 6 - 10*s + 36*s**2. Let i be z(11). Suppose -v = 2*v - i. Let c(k) = -5*k**3 - k**2 + 2*k - 1. Determine c(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**8\/42 - 106*h**7\/105 + 46*h**6\/3 - 1537*h**5\/15 + 266*h**4 - 312*h**3 - 7018*h**2 - h. Let w(n) = 0. Calculate n.\nAnswer: 1\/2, 1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*b**3 - 161*b**3 + 80*b**3 + 246)*(-3 + 3*b**2 + 3).\nAnswer: -6*b**5 + 738*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1. Let q(l) = 356*l + 352*l - 720*l - 21. Give -42*p(y) + 2*q(y).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36970 in 0.4, -3, -1, 1\/6, -0.01, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(264) - sqrt(264))\/sqrt(6))\/(sqrt(144) - (sqrt(144) + -3*sqrt(144) + sqrt(144)) - sqrt(144)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-175)*55\/(-22)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 29 = -7. Suppose 10*s = -7*s - 170. Let h be x\/s*(-70)\/21. Solve -2*t - h = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 133, 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 680*h - 688*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5254, -5324, -5394?\n\"Answer: -70*t - 5184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50127*a**3*u**2*x - 277*a**3*u*x - a**3*u + a**2*u**2 + 2*a**2*x + a*u*x + 4*u**2*x wrt u?\nAnswer: -100254*a**3*x + 2*a**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1120\/840*15\/16?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/((-317)\/(-317)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -20*i - 655. Let a be x(-33). Let o(j) = -j**3 + 7*j**2 - 5. What is o(a)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100111110011010001001 (base 2) to base 16\nAnswer: 13e689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326.9584 + 0.0416. Let x = z + -350. What is the nearest to 3\/4 in -2, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.006142 years in centuries?\nAnswer: 0.01006142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-864))\/((-5)\/45)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2*u**3 - 2*u**2 + 14. What are the prime factors of i(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (408\/6732)\/((-3)\/(-231)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 16*s + 18. Let n be u(7). Solve -r + 1 = 2*l + 2, 0 = n*r + l + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:26 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 5, 4, 3, 93 in descending order.\nAnswer: 93, 6, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50202 + 5?\nAnswer: -50164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1116, 1296, 1480, 1668?\n\"Answer: 2*d**2 + 174*d + 940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 3*v - 15 - 5*v + 3*v. What is the least common multiple of 45\/4 + (-2)\/8 and g(-6)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 811955\nAnswer: -13\/811955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 10, 20, -5 in ascending order.\nAnswer: -5, 0, 2, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -121515 (base 7) to base 13\nAnswer: -a155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17\/3, 0, -0.1?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y + 3. Let c be k(5). Let p be (-8)\/(-6)*(-42)\/c. Is 1760\/6 - p\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 + -26186095.\nAnswer: -26186051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-4)\/(-42))\/2. Let j = 9 - 3. Let v = j - 7. Which is the third smallest value? (a) v (b) m (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*d**3 - 4 - 177*d**3 - 183*d**3.\nAnswer: -13*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992349211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 9 = 5*a, 0*a - 26 = -2*a - 4*z. Suppose a*g - g - 8 = 0. Calculate the common denominator of -45\/22 and 3 - g\/(160\/455).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -2\/5 (c) 1878 (d) 0.5 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngsysyysynncrsysrynr. What is prob of picking 1 y, 1 c, and 1 s?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1)\/(10\/(-10))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -2\/39*n**4 + 0*n + 91*n**2 - 3\/13*n**3 + 0 + 1\/390*n**5. Factor q(t).\nAnswer: 2*(t - 9)*(t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*f - 285*f = -216*f + 48165 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from gjoojwwwowwowwooww?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46.05 - 46.06. What is the nearest to w in 1.6, 0.1, -14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104654 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54205, 54226, 54265, 54322, 54397, 54490?\nAnswer: 54601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 358809 divided by 159?\nAnswer: 119603\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**2 + 5 - 13337*w**3 + 26681*w**3 - 13359*w**3 + 16 to a*w**2 + n*w**3 + i*w + g and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184981 - -74917123\/405. Let i = -4\/81 - s. Let k = 5.7 - -7.3. Which is bigger: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(3945430*v + 4009*v**2 - 3945430*v).\nAnswer: 8018*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*o + 0*o = 276. Let p(w) = w**3 - w**2 - 2*w - 9. Give p(o).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -1\/12*u**4 - 1\/2*u**2 + 0 - 1\/3*u**3 - 2*u - 1\/10*u**5. Is v(-1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 7043.\nAnswer: 63387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 6. Let i(x) = x**3 - 12*x**2 + 23*x - 22. Let o be i(10). Give j(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/15)\/(y\/(y**(2\/7)\/y)))\/(((y*y*y*y*y*y**0)\/y)\/(((y\/y**4)\/y)\/y)) assuming y is positive.\nAnswer: y**(-1111\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*o - 7*o + 396 = -98*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a kilometer in centimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9650267 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/60 - q**3\/6 - 4*q**2. Let w be l(-1). Let d(u) = 7*u**2 - 2*u - 1. Let k be d(-1). Solve b + b + k = w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -0.3 (b) 4 (c) -3\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.11 (b) 1\/4 (c) -0.3 (d) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-2))\/(-4 - -2). Let n(q) = 2*q**2 + 5*q + 5. Is 15 a factor of n(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-456*x**2 + 246524 - 246524)*(-4 + 14 + 0)*(x + 0*x - 2*x).\nAnswer: 4560*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**4 - 417870*q**2 - 505220 wrt q?\nAnswer: 8*q**3 - 835740*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1126*f**4 + 1129*f**4 - 3685*f - 2 + 95*f**3 - 95*f**3 in the form k*f**4 + y*f**3 + d*f**2 + x + q*f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - (3 - -2)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2, -1108445, -4, 3 in ascending order.\nAnswer: -1108445, -4, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n\/n**(2\/11))\/(n**(-1))**25 assuming n is positive.\nAnswer: n**(557\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u - 8. Let t be z(-3). Suppose t = 9*f + 1. Solve -5*b = -4*y - 2, 3*b - f = 4*y - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4980 in -2, -39\/7, 2\/73, -1?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11780571.\nAnswer: 3, 11, 41, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 10, -4*v + 3*b = b + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 162 = -1611. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181743377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -1000, -2260, -4024, -6292, -9064?\nAnswer: -12340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 - 12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7327 and 56695?\nAnswer: 24435545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510.6108 milliseconds to microseconds.\nAnswer: 510610.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 + 208*o - 21512. Determine f(45).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183 - -190. Let r = 107 + -49. Suppose -12 - r = -2*n. What is the highest common factor of f and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 7:17 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 3*y**2\/2 - 5*y + 3. Let t(k) = k - 2. Let z(a) = -4*i(a) + 11*t(a). Let x be z(-5). Solve 5 = 2*b - x*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*s + 21 = 4*k - 332*s, -5*k + 24 = -s. Put -1, 19, k, 3, -7 in descending order.\nAnswer: 19, k, 3, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 89?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/3 (b) -21 (c) -99 (d) -15 (e) 4 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 - 4*h**2 + 6*h - 1. Let f be p(-6). Let q = f - 173. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-6)\/3)*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) 0 (c) 1.1 (d) -0.4 (e) 5\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-21 - (-10 - 24)) - 44\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (3 + -4)) + (-8 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -443)*2\/(-2). Suppose m = 13*u - 23. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -0.4, -5\/3, -29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35585 is divided by 315?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 6*m**2 + 6779399 - 6779399.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(475)*-1 + (sqrt(475) - (-1 + sqrt(475)*-2)))**2 + 1.\nAnswer: -80*sqrt(19) + 1917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 795 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o + 32. Let k = -1486 - -1476. Calculate c(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + 8 - 14 - 17) + -12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10760228.\nAnswer: 2, 23, 116959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*n = -2*n - 6*n - 3*z, 23*z - 18*z = -7*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -27.5\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 13*k**2 + 50*k - 17. Is 91 a factor of g(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -7. Let g be (1 + -1)\/(l + 6). Let a be 6\/2 - (-1 + g). Which is bigger: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 100*k**2 + 6*k + 5. Let s(r) = -3*r**2 + 6*r - 7. Let q be s(3). Let u be (1*-2)\/(q\/(-24)). Is o(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -17. Let k be ((-4)\/8*0)\/y. Solve k = 2*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/14)\/(54\/(-324))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*p - 5. Suppose 2*v = v - p*y + 27, -v + 4*y - 18 = 0. Let l be 1\/(8 - 2) + 0. What is the third smallest value in 4\/3, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/56 + 642\/8. Let u be (-5 - (80 - -7))*3\/(-4). Suppose -n - u + k = 0. What is the smallest common multiple of n and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 4*u**2 - 3*u - 7. Let k be y(5). Suppose -4*x + x = -3, 2*c - 7 = -k*x. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 11038 = 2*s, -4*s - 14186 = -4*p + 7922. Let k = p - 3476. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 78*y**2 - 7*y - 6. Give n(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*-16)\/(1\/(-2)). Let u be 1*(j\/14 - 2). Let s = 18.9 - 19. What is the closest to s in 2, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 19*a**2 - 2*a - 35. Let l be r(-19). Solve -2*c - 5 = -l*k, -2*c + 4*c + 12 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 2. Give s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 37 = 5*v + 1, 0 = -5*n - 5*v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -33*n + 25. Let c(o) = 132*o - 101. Let g(j) = -2*c(j) - 9*z(j). What are the prime factors of g(3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -167*c - 1324. Give o(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 859723396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1144369750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4 and 5\/5156.\nAnswer: 5156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88143666*u**5 - 78073501*u wrt u.\nAnswer: 1762873320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2289 and 875309.\nAnswer: 873020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2760, -5, -16 in increasing order.\nAnswer: -16, -5, -1, 2760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -20. Suppose t = -2*j - j + 48. Solve 5*w = 3*n + 19, 0 = 5*w + 3*n - 5*n - j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from dxqfcqada?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -265*n**6 + n**3 - 879*n**2 wrt n?\nAnswer: -31800*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1008\/81)\/14*(-9)\/12. What is the closest to n in 6, -2\/3, 2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -400321445 (base 6) to base 4.\nAnswer: -121232223011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(40)\/sqrt(512) + 3 + sqrt(320) + -3.\nAnswer: 2 + 65*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 326 - 233. Suppose -2*v + 6*v = 16. Suppose -3*k - 2*x + n = -0*k, -v*x = 3*k - 99. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124413225.\nAnswer: 3, 5, 17, 97579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m - 52 = 0. Calculate the highest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52535099 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8863, 9214, 9799, 10618, 11671?\n\"Answer: 117*x**2 + 8746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + 38 + -10 - -71) + -3 - (-2 - -2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l**2. Let s(y) = y + 1. Let k(n) = 2*n + 3. Let c(h) = k(h) - 3*s(h). Determine c(x(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10801 > -10776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 = 8. Let k be y*2*(-46)\/(-4). Let z = k + 36. What is the greatest common divisor of 117 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1230222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -922*u - 41. Let p(r) = -2*r. Give p(t(v)).\nAnswer: 1844*v + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78108 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6207353 (base 9) to base 7.\nAnswer: 40103244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.2 + -2.8. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 10*d. Let a(n) = -3*n. Calculate -7*a(s) + 2*z(s).\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g*g*(g\/g**(-1)*g)\/g*g)*g))**(1\/16)*g**5*g*g**(3\/2)*g assuming g is positive.\nAnswer: g**(139\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Let a be ((-210)\/(-495))\/(-1*20\/(-5658)). Let f = a - 120. Are f and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(1\/4))**(-9\/7)*(p*p**2*p)**(-2\/31))**34 assuming p is positive.\nAnswer: p**(-46495\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfii when four letters picked without replacement from {i: 2, f: 1, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 2\/7 (c) 1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.1 (b) 0.2 (c) -0.03 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -283000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 8 = -5*c + 29, 4*t - 24 = -4*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 88*t. Let o(z) = -z - 243. Calculate o(d(l)).\nAnswer: -88*l - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x. Let g = 3 + -9. Let v(w) = 9*w**3 - 5*w - 1. Let t(j) = g*m(j) + v(j). Determine t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 + -1.66. Let n be ((-3)\/5)\/((-6)\/(-8)). Which is the closest to f? (a) n (b) -6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Suppose 0 = 2*m + u - 30. Let r(x) = -16*x + 6*x + m*x. Let z(f) = -f. Calculate z(r(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8.7 (b) -16 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 372, 3 in decreasing order.\nAnswer: 372, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(4*4\/176). Solve -16 = 4*v, -b = -5*z - 3*v + 7*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 14) to base 15.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 432 (base 9) to base 10\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/35)\/((-6)\/10)*(-174)\/5452?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from mmxiitmmummtoxmtxim?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.106, -1\/3, 1, -7, -4 in descending order.\nAnswer: 1, -0.106, -1\/3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(1584) + sqrt(1584))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739224952.\nAnswer: 2, 92403119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 377, 749, 1123, 1499, 1877, 2257, 2639?\nAnswer: 3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 7:28 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 59?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187154.\nAnswer: 2, 11, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 8. Let k be 1*(-4 - (2 - 4)). Let p be (3\/4)\/(k\/8). Which is the third biggest value? (a) -1 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3374910 divided by 462\nAnswer: 7305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55244323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 10*w**4 - w**3)*((-3 - w + 3)*(0 + 2 - 1) - 15 + 6*w + 15 + 7*w - 3*w + 2*w).\nAnswer: -110*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c = -828358. Suppose 3*v - 4*t - c = -0*t, -4*v = -t - 552256. Let x = v + -21065. What is x rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*p**3 - 114*p**3 + 5*p**3 + 249*p**3.\nAnswer: 302*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2737 + 2732. Which is the nearest to 0? (a) 7\/4 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 7680.\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 79 = -x, -2 = -5*b - 17. Let q = x - -49. Let r = q + 115. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 5. Let g be l(0). Let z be (-2)\/g + 8\/5. Suppose -s - 4*s + 5*t = -70, -5*t = -z*s + 13. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/((sqrt(80)*-1)\/sqrt(10) - sqrt(8)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 73*s = -126563 - 298603. Round s to the nearest 100.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {o: 2, x: 1, a: 2, r: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:49 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 100 + 99 = t, 0 = -2*q - t + 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*i**3 - 2)*(-10*i**2 + 6*i**2 - 59*i**2 - 4*i + 2*i**2 + 4*i + (-2*i + 0 + 0)*(-3*i + 0*i + 2*i)).\nAnswer: 295*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0 - 1\/6*c**3 + 0*c**2 - 4*c. Let k(g) = -4*g. Give r(k(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65642850 a multiple of 687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d + 5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8296.698 millennia?\nAnswer: 82966.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9315*b - 9415*b - 3721 - 937 wrt b?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6623, -27389, -61991, -110429, -172703, -248813, -338759?\nAnswer: -442541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10)\/(k*k**(3\/4)))**(-44) assuming k is positive.\nAnswer: k**(407\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5254615, -10509219, -15763825, -21018433?\n\"Answer: -l**2 - 5254601*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y + 2*h, 3*y - 27*h = -32*h + 5. Is y less than -1\/6041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2583939 + -5680.\nAnswer: -2589619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 4207 - (-1 + 4 + -2).\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-23)\/l)\/(l\/l**14*l))**(-3\/47) assuming l is positive.\nAnswer: l**(36\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 17*q**2 + 11*q - 12. Let r be z(13). Let m = -347 - r. Suppose m = -2*p + 5*p. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 824148 and 16497.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 25 - -31 - (0 - 14)) + (1 - 0).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**3\/3 - o**2\/2 + o + 3. Let j(g) = -52*g - 211. Let d be j(-4). Calculate n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by -1?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 2 = p - 2, 2*p - 16*l + 15 = 17 - 50 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 584137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250.5 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 14 - 15 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/28)\/((-96)\/56).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8162)\/(-363) + 1\/(-3). Let z = v - 67\/3. Let r = 120 + -121. Which is the closest to 0? (a) r (b) z (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2112 and 37\/1098951.\nAnswer: 773661504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3041912660 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3.88, -3, 0 in increasing order.\nAnswer: -3.88, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 + 15 = 0. Suppose -u*c - 3*b = 36 + 3, -3*c - 2*b - 29 = 0. Let f = c + 14. Solve y = f*y - 3*v - 20, 0 = -5*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7004)\/(-476) - 4\/(-14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2951523.\nAnswer: -1\/983841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4160917, 4160916, 4160913, 4160908?\nAnswer: 4160901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3738167 decades to millennia.\nAnswer: 0.003738167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/5 - (-2)\/5. Let v = -1.72 + -0.18. Let n = -1.5 - v. Which is the third biggest value? (a) o (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 2. Let r(m) be the second derivative of m**3 - 11*m**2\/2 - 27*m. Give -6*r(b) - 34*s(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 7:24 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2861 - -2860.9990792. What is d rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(4)*-4 + sqrt(20))*-5)\/(1*(sqrt(484) - (sqrt(484) + -3*sqrt(484)))).\nAnswer: 5*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -20 (c) 16 (d) 118 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-8))\/((30\/(-4))\/((-160)\/40))\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 0.4, 1251?\nAnswer: 1251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5)*q**(-7))**(-22\/9) assuming q is positive.\nAnswer: q**(836\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64425 and 13744?\nAnswer: 1030800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 275 a factor of 23688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 45*j**2\/2 + 85*j\/2 - 5 = 0?\nAnswer: -2, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 473251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**3 + c - 1. Let m be p(1). Suppose 0 = m*z - 9 - 6. Suppose 4*n = 5*n - z. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -a + 61. Suppose 3*o - a*p = 1593, -7*p + 2667 = 5*o - 6*p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93596.961 - 93552. Let q = -45 + i. Which is the closest to 0? (a) q (b) 0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 7*f - 17)*(5*f + 0*f - 4*f)*(4*f + f - 3*f) + (2*f + f - f)*(-f**2 - 2*f**2 + 4*f**2).\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**3 - 12*w**2 - 2*w + 4. Let j(c) = 3*c**3 + 11*c**2 + c - 3. Let l(u) = 3*j(u) + 2*s(u). Let y be 6*((-3)\/(-6) + -2). Is l(y) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -700380+988.412\nAnswer: -699391.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10585655 divided by -2.\nAnswer: -10585655\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 - g + 3. Let j(s) be the second derivative of s**5\/10 + 7*s**4\/12 - s**3\/3 + 2*s**2 - 1199*s - 2. Calculate -4*i(k) + 3*j(k).\nAnswer: 2*k**3 - 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/78)\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + 1 + 5 + (sqrt(14)\/(-3*sqrt(847)))**2)*-5.\nAnswer: -45*sqrt(2) - 32680\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4991 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: Let g(r) = 7*r**2 + 10*r + 3. Let q(t) = t**2 + t + 1. Calculate -g(y) + 5*q(y).\nAnswer: -2*y**2 - 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153721603 is divided by 105796?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000005631481 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96.8 - -82.98. Let h = i + 13. Let b = 0.81901 + h. What is b rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 140\/(-40)*(-8)\/7. Suppose x*f = 5*w + 13, -5*f - 6 = -10*f - 4*w. Solve 0 = -3*l - 4*n + 4, f*l + 3*n + 14 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - k - 5, -4*v = k + 2*k - 6. Let a be (34\/(-4))\/(v\/(-6)). Calculate the highest common factor of 85 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -119b - 254?\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - 1 - -1) - (-4 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2*p**3\/3 - 2*p**2 - 2*p + 2501. Suppose 0 = 4*b - 7 - 1. Let n(d) = -d - 2*d**2 + b - 2*d - 3. Determine -3*n(x) + 2*z(x).\nAnswer: 2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 + (-1004)\/20*-3. Suppose -t*x + 155*x = 376. What are the prime factors of x?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (273\/(-3549))\/(186\/(-78))\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 17 - 3 = 0. Let r(n) be the third derivative of n**4\/24 + n**3\/6 - 6*n**2. Give r(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 0, -5, 23 in increasing order.\nAnswer: -5, 0, 2, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 54, 3, 5, -496, 1 in ascending order.\nAnswer: -496, -2, 1, 3, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-7)*(-217)\/(-124)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1101212 - -4?\nAnswer: -1101203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55\/186 - 4\/31. Let d = 26 + -19. Let p = 4 - d. Which is the third biggest value? (a) h (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b2b (base 14) to base 9.\nAnswer: 11476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 9:27 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/73 + 153\/511. Let d = 1673\/2 + -873. Let x = d + 38. Which is the closest to -0.2? (a) x (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6892, 13782, 20672, 27562?\nAnswer: 34452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30264*m - 30223*m - 21 + 0 to the form s*m + y and give s.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 21872 - 80308 = -a, 3*i + 2*a = 43837. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 942.25 * -3.14\nAnswer: -2958.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5*r + 2 = 0, -26 = 10*g - 2*r + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125616 + 47?\nAnswer: 125665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, o: 2, z: 1}. Give prob of picking 1 c and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != -9609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 2:35 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 37328 = -14*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (1 + -5 + 4). Suppose 7*a = x*a. Solve 3*o = -a*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 5*b - 2. Let n be z(-6). Suppose n*h + 2*c - 40 + 2 = 0, 5*h - 31 = 3*c. Calculate the remainder when -4*((-138)\/h)\/3 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(1944)\/sqrt(6)))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1168*z + 10 = 1163*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1961.5 or 0.2?\nAnswer: -1961.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*d = -12, 13*d - 17*d - 11 = k. Put -10, -1, k, 10 in descending order.\nAnswer: 10, k, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**2*r - 198*o**2*z - 2*o - 4*r - 3*z + 3 wrt o.\nAnswer: 2*o*r - 396*o*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4*c + 10, -f + 20 = f - 935*c + 937*c for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 + 11. Let w = -530 - -591.8. Let s = w + i. What is s rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4 + 0*y + 2*y**2 + 1 + 3*y + 6. What is the remainder when 17 is divided by c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -84, -165, -272, -405, -564?\n\"Answer: -13*f**2 - 16*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - q + 9 = 0, -c - q = c + 9. Suppose 0*a - 19 = -2*a - 5*b, 0 = 4*b - 12. Sort c, 5, a, -1.\nAnswer: c, -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1334287830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**9\/756 + q**6\/90 - 7*q**3\/3 - 3. Let f(n) be the third derivative of b(n). Find the third derivative of f(p) wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 9:00 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*s + 7*d + 58, -111 = -3*s - 2*d. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + i = -2*i - 42 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 862 a factor of 1840370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 58*d + 15. Let q(f) = 314*f + 75. Give -33*m(b) + 6*q(b).\nAnswer: -30*b - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(1872) + sqrt(1872) + sqrt(1872) + 3))**2 + -1 + 3*sqrt(832)*3.\nAnswer: 144*sqrt(13) + 1880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, -5, 2.\nAnswer: -119, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8334?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 102 + 22 = 0. Suppose -f + 6 = -4*c, -5*f = 4*c - 34 - l. Solve -31 = -3*i + 2*q - f, 0 = -i - 2*q - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -13*y + y**2 - 13 + 0*y**2 - 2*y. What is the tens digit of a(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-30))\/(39\/468))\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39174.8013 - -14.17.\nAnswer: -39160.6313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 212966\/30265 and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 400*f - 830*f + 429*f + 8584*f**3 as j*f**2 + d*f + n*f**3 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6861880 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38781 and 5091570?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2250*a**2*p**2 - 34*a**2 + 7*a*p**3 + 4*a - 105 wrt p?\nAnswer: 4500*a**2*p + 21*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 79*w**3 - 88*w**3 - 6*w - 12*w**2 - 7*w**2.\nAnswer: -3*w*(w + 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12 = 2*l. Let q = -12 + 17. Suppose q*t = r - 2, 2*r + 32 = 4*r - 3*t. Calculate the remainder when r is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/(-4)*-1*(-6)\/(-15)*525\/(-945)\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:10 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 10 = -3*v, -3*v + 0*x - 2*x - 4 = 0. Solve v*i = 4*i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**3 - 5*j**2 + 5*j. Let d(y) be the second derivative of y**5\/20 + y**4\/12 - y**3\/6 + 3*y - 210. Let b = 53 - 38. Determine b*d(c) + 3*i(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 1035530*f - 53616119045.\nAnswer: -5*(f + 103553)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0212696 + 0.04.\nAnswer: 0.0612696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-2))\/4 - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 72 = y, -2*f = 5*y - 409 + 73. Let s = 194 + y. Suppose -s = -2*b - 5*x, 262 = -3*b + 5*b + 2*x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d**2 + 3*d - 5. What is the remainder when y(3) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + 123. Let m = w + -85. Let z = 64 - m. Solve -5*l + 2*i - 21 = i, i + 19 = -z*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 541*r + 291*r**5 + 384*r + 829*r + 4*r**2 wrt r?\nAnswer: 5820*r**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -z - 43, 0*z + 28 = 4*m - 4*z. Do m and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 2*k + 2. Let n = -124\/7 - -255\/14. What is the closest to k in n, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -6\/5 (b) 50 (c) 1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*f + 49*f - 21*f)*(0 + 0 - f**4 + (f**3 + 0*f**3 + 0*f**3)*(-3*f + 5*f - 4*f) + (-f**2 + 2*f**2 + 0*f**2)*(-148 - f**2 - 3*f + f + 149)).\nAnswer: -212*f**5 - 106*f**4 + 53*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v + 2*v**3)*(101 + 175 + 104).\nAnswer: 760*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x - 3*x + 53 - 3*x - 39 + 6*x. Let o be ((-44)\/(-10))\/((-30)\/75). Determine d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 3. Suppose 0 = -n*p + p - 5*x + 35, 5*p - 2*x - 44 = 0. Calculate the remainder when 18 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -207563, 4 in descending order.\nAnswer: 4, -1, -207563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-12)*192\/144\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-6))\/(-2)*(-5)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360168072 = 23*s - 135159928. What is s rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75 or -5\/3?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*d + 64 - 19, 0 = 2*m - d - 75. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = 3*g - 4*f + 3*f, -2*f = -2*g + 182. Calculate the remainder when g is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/360 - o**5\/120 - o**4\/12 + 5*o**3\/6 - 4*o**2. Let s(g) be the first derivative of m(g). Suppose s(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1306*o**2*p**5 + 3*o**2*p + o**2 - o - 173*p**4 - 6*p - 167 wrt p.\nAnswer: 26120*o**2*p**3 - 2076*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/210 and 77\/22955370?\nAnswer: 160687590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200401.77 rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 10*v + 27. Let w be l(6). Suppose -d + z - 6 = -0*d, 0 = w*d + 3*z + 48. Is d equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.189.\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(6\/15)*2. Suppose 2*s = n*s - 339. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:51 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 170598 divided by 2?\nAnswer: 85299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3775200 rounded to the nearest 10000?\nAnswer: -3780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**3 - 12*k**2 - 14*k + 5. Let g(l) = -11*l**3 + 24*l**2 + 28*l - 11. Let d(c) = 6*g(c) + 13*w(c). What is the units digit of d(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14796 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 29*x + 17. Let t be l(-10). Let c = t - -293. What is the remainder when c is divided by (-4)\/(-6)*(-693)\/(-42)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.98 times 0.2\nAnswer: -0.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018419183 to three decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 137. Let n = j - 26.2. Put n, -0.3, -16, -3 in ascending order.\nAnswer: -16, -3, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/80*85)\/(14\/(4200\/(-15))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 3}. Give prob of sequence yff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 426, 428, 430, 432, 434, 436?\n\"Answer: 2*u + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3 + 28084*q**2 - 98382610*q + 102065054528 = 0.\nAnswer: 2333, 9376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29366 - 6007 = 907*y for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24*2\/8*116\/3. Let c = 434 - j. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.197121 millennia in years?\nAnswer: 8197.121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/8 + (-1)\/(-4). Let u = 16796 - 16793. Find the third derivative of 69*y**3 - 51*y**u + c*y**2 + 7*y**2 wrt y.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3274 is divided by 1925?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*i = 79*i + 12. Suppose 4*g = 360 + 1736. Is g - (-9)\/i*8\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33524 divided by -16762\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m - 1. Let b(i) = -13*i - 6. Let r(f) = b(f) - 6*w(f). Let g(p) = 184*p**2. What is g(r(o))?\nAnswer: 184*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224003790 is divided by 2769.\nAnswer: 2766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 27. Let b be 1\/2*s*(-4 - -6). Suppose -5*n - 3*w + 223 = 0, -2*w - b = -4*n + 151. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 3. Let y be p(-4). Let c = -1380 - -1381. Sort -0.13, 0.02, c, y in ascending order.\nAnswer: -0.13, 0.02, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11958 + 11963. What is the biggest value in 3, q, -35, -0.02?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - p + 6 = 0, 0*o - 3*o + 5*p = -22. Let t = o + -1. Suppose 0 = -3*u - t*l - 9, 3*l + l = 2*u - 24. What is the lowest common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/40*(4 - (-2 - -6)) - -1. Calculate the highest common factor of 1033 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*t + 0*t - 64*t)*(-12 - 63 - 16) as z + o*t and give o.\nAnswer: 7007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2089, 3, -2, 5, -3.9, 0.3 in ascending order.\nAnswer: -2089, -3.9, -2, 0.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 1194*g - 118803.\nAnswer: -3*(g + 199)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/245860 and 37\/10947240.\nAnswer: 207997560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003432696 rounded to seven decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 11*n = -3. Let b be (1 - n)*9\/(-6). Suppose -b - 7 = -5*o. What is the least common multiple of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8 = -x. Calculate the remainder when 23 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -40. Suppose 2*s - 5*v = 35, 0 = 4*v + g + 1. What is the remainder when 39 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456.3072 millilitres to litres.\nAnswer: 0.4563072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 352, 349, 360, 391, 448, 537, 664, 835?\n\"Answer: f**3 + f**2 - 13*f + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.2118ml to litres.\nAnswer: 0.0922118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5))**(3\/11)*(k**1*k)**10)**(-8\/9) assuming k is positive.\nAnswer: k**(-8848\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 52.95423 centuries?\nAnswer: 5.295423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0 + 1\/30*y**5 + 0*y - 1\/6*y**3 - 3\/40*y**6 - 3*y**2 + 0*y**4. Give x(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5) + (-80038)\/(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 2, -0.5, -216.\nAnswer: -216, -14, -0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6) + (-3 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225\/997 - 118333\/89730. Calculate the common denominator of z and 169\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-five quarters of a millisecond?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 22 = 15*y + 64 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n**16\/n))))\/n**9*(n\/n**(1\/3)*n)\/n**5 assuming n is positive.\nAnswer: n**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 19*o - 31. Calculate m(10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + (1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3822 - -3824. Solve -19 = -5*w + 3*i - 0*i, b*i = w - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((33352\/(-11))\/8)\/(-2283) + 2\/(-12). Are -1 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5 + -9 - (-13 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 32, 94, 222, 440?\n\"Answer: 4*y**3 - 3*y**2 + y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/213, -6389?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*s + 18, -5*s + 9 = -3*x - 17. Solve 5*c = -t + 7, -c + s = 2*t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 5*o - 38, o = -48*t - 247 + 190 - 141 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 - 165*f**2 + 94*f + 898. Calculate j(-83).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*b + 118 + 1674. Calculate the least common multiple of b and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 391, 384, 365, 328, 267, 176, 49?\n\"Answer: -j**3 + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 9. Suppose 4 = i*d - 12. Suppose 0*f + 138 = 3*p - 2*f, 4*f = -5*p + 208. What is the greatest common divisor of p and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2065, -3928, -5623, -7066, -8173, -8860, -9043, -8638?\n\"Answer: 14*r**3 - 1961*r - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30215.\nAnswer: 5, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 2*x + 4*x + 583.\nAnswer: 5*x + 583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1867174 and 15964?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/14 + 69\/2. Solve 0 = 5*p + 3*m + v, -m - 6 = 4*p - 3*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 874476611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 619*c*m*q + c*m + 6*c*q + 3*c - 25*m + 1707 wrt q.\nAnswer: 619*c*m + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*v - 6 - 6, -5*w + 8 = -2*v. What is the tens digit of (-18 + w)\/(2\/(-11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 5 - 1 - 2 + 2. Let l(o) = -8. Let i(f) = -f + 1. Let m(r) = 3*i(r) - l(r). Calculate -4*m(v) - 7*z(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78526 and 4?\nAnswer: 157052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(33)\/(sqrt(576)\/sqrt(12)) - (sqrt(33)\/sqrt(108) - ((sqrt(22)*4)\/sqrt(2))**2).\nAnswer: sqrt(11)\/12 + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 8) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/260 and -47\/11180.\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 18 = -7*c. Put c, 4, -1, 1 in ascending order.\nAnswer: -1, 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84792135 is divided by 280?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -16, -55, -132, -259, -448, -711?\n\"Answer: -2*b**3 - b**2 + 4*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100176 is divided by 1284.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 + 72)\/15*-19.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2103837175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -184, 3, -5, 5 in descending order.\nAnswer: 5, 3, -3, -5, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*o = -9635 + 169980, u + 2*o = 32069. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -1\/7, -16 in descending order.\nAnswer: 0, -1\/7, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352 (base 7) in base 10?\nAnswer: -527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h - 20*h - 16*h + 63*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n + 2*n - 3 + 3*n - 4. Let p(v) = v - 3. Suppose 0 = 5*r - 2 + 12. Determine r*u(b) + 5*p(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/4207 - 121985\/75726. Find the common denominator of -71\/20 and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1980\/4261 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (6 + -4 - -3 - -5) + -14.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 - 2*b**4 + 2*b**4 + (-5 + 1 + 2)*(-b**4 + 1 - 1) + (3*b**3 - 6 + b**3 - b**3)*(19 - 19 - 5*b) as c*b + j*b**3 + h*b**2 + k*b**4 + z and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 9. Determine i(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let d(p) = -3*p. Suppose 3 = 3*o + 4*w, o - 3*w = -5*w + 3. Suppose 1 = -5*i - 19. Calculate i*r(k) + o*d(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3 + 1)*((26*r - 7*r - 12*r)*(-2 + 4 + 0) - r + 1 - 1 + 0*r - r + 2*r + (r - r - 2*r)*(-3 - 2 + 4)).\nAnswer: 224*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83479955.\nAnswer: 5, 13, 37, 103, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75) - -2*sqrt(3)*-1)**2 - (-2 + sqrt(15)\/(sqrt(5)*-3)).\nAnswer: sqrt(3)\/3 + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -90791*w - 1271118. Determine j(-14).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*t - 5*t. Let m(p) = -p**2 - 38*p + 2. Let q be m(-9). Let a = q + -243. What is the least common multiple of t and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*g = -10, -2*f + 725*g + 60 = 730*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -336685, -336681, -336677, -336673?\n\"Answer: 4*h - 336689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1410?\nAnswer: 7050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {b: 2, w: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 4*b**2 + 2*b - 1. Let x be j(3). Let c = x + 6. Suppose 2*u + c*u - 152 = 0. What is the remainder when u is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16539 is divided by 5499?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2477 (b) 1\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 11. Suppose 4*k = -d + 10. Differentiate l**3 + 4 + k*l**3 - 2*l**3 with respect to l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 + 500*z**4 - 17300*z**3 + 227200*z**2 - 716800*z + 655360.\nAnswer: -5*(z - 32)**3*(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1095 = -64*t + 519 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2287205 - 10?\nAnswer: -2287215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i**3 - 15*i**2 - 6. Let j be h(4). Suppose 5*y - 35 = -j. Solve 0 = y*v - 7 - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2\/15, -2\/3, 5.\nAnswer: -10, -2\/3, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18369.\nAnswer: 3, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 (base 4) in base 6?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -845 - -1508. Suppose -j - a = -4*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = t. Let u be (9\/(-6))\/(6\/(-16)). Suppose t = m + u*m - 295. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 2:37 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3 = 0, 1846*o - 1843*o = h + 23 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 9\/2, 3 in ascending order.\nAnswer: 3, 9\/2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three sixteenths of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5141 divided by 6\nAnswer: -5141\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29640 and 29040.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13*y**2 + y - 3. Let l = 2 + 28. Suppose -11*i = -l - 14. What are the prime factors of b(i)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.4634 rounded to one dp?\nAnswer: 319.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -341953*r**2 + 172053 with respect to r.\nAnswer: -683906*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 56782324 from 0.5.\nAnswer: -56782323.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 95 + 5 = 0. Calculate the remainder when 99 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8840 is divided by 2945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 12 = 4*a, 3*a - 6 = y - 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*o = -2, -z + 4 = 5*o - 4*o. Differentiate -z*p**4 + 2 + 9 + 3 - 5 with respect to p.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30812380*b**6 + 13523835*b**2 wrt b.\nAnswer: 3697485600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4124123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(210\/(-36)))\/(1\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, j: 3, t: 3}. What is prob of sequence tji?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 909, -186, -398, -5 in decreasing order.\nAnswer: 909, -5, -186, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppxjpabx. Give prob of sequence ajb.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooooosoooso?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111111100011000110011 - -101?\nAnswer: -1100111111100011000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 6*z**2 - z + 4. Let p(w) = w**3 - 7*w. Let m be p(3). Calculate q(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1 + 2 - 2. Let i(s) = -s. Let p = 0 - 1. Give p*i(c) + k(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17)\/(-5) - (-2)\/(-5). Suppose 57 = f + 5*i, 2*f - 5*i + 183 = 6*f. Suppose a + f = -v. Round a to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11379691 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/42210 and 29\/6030.\nAnswer: 42210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2981*z + 14905. Calculate k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6745715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 419 (b) 4 (c) 4346 (d) 0.2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 640264.3ml in litres?\nAnswer: 640.2643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.165*0.089238.\nAnswer: -1.08558027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13)*1 + -3 + (sqrt(13)*-2 - sqrt(13) - sqrt(13)))**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010526 to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r + 1. What is the least common multiple of a(2) and 20677\/377 + (-7)\/(273\/(-6))?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o**2 + 263*o - 2066. Calculate p(8).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 183*a**3 + 5*a.\nAnswer: 183*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 - 5*c + 28. Let m(s) = s**2 + 2*s - 9. Let l(x) = -2*d(x) - 7*m(x). Let y be l(-5). Suppose -y*h - 50 = -188. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -36. Solve 4*j - 2*k = -14, 4*j + o*k + 43 - 17 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5598983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1533*d - 480*d + 495*d + (3 + d - 3)*(-2 + 6 - 2) + (6*d - 4*d + 0*d)*(2 + 0 - 3) - 2*d + 0 + 0 + 2*d + 0*d - d to the form j + v*d and give v.\nAnswer: -1519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 20935*a - 20938*a + 2*a**2 + 41873*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(162)*1)\/(-1*sqrt(225)))\/(-6*((sqrt(48)\/sqrt(2) - sqrt(24)) + sqrt(24))*5).\nAnswer: sqrt(3)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 48*x**2 - 133*x - 87. Give d(45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 14.9, 0.5, 1\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 51742949 + 25871472 + 25871471.\nAnswer: -5*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1229*a - 2458*a + 1230*a - 1362.\nAnswer: a - 1362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3009, 3294, 3765, 4422, 5265, 6294, 7509?\nAnswer: 8910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-10\/9)\/c))**(8\/9)*c**(-26)*(((c*c**(-4\/11))\/c)\/c)\/c assuming c is positive.\nAnswer: c**(-22016\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - (-38)\/114. Suppose 4*c = -4*j + 24, -j - 2*c + 2 = -0*j. Suppose d*z - 960 = -j*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {a: 1, m: 2, w: 4, y: 3}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 5*i - 45, 3*i + 428*r + 4963 - 4990 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4748.3575 - -0.5?\nAnswer: -4747.8575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1456939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218182.\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23002 + 1223?\nAnswer: -21113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iini when four letters picked without replacement from goiggnuignrriiggo?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 277 + -3051\/11. Let h = -0.25 + 0.75. Which is the third biggest value? (a) h (b) i (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cll when three letters picked without replacement from {l: 18, c: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -20*a**3\/3 + 76*a**2 + 704*a\/3 + 112 = 0.\nAnswer: -2, -3\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 258*u**2 + 9*u + 34. Is q(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 (base 9) in base 14?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.08 or -2\/845407?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 + 6*p**3 - 4*p**3)*(-2*p**2 + 4*p**2 - p**2) + (-4*p**4 + p**4 + 0*p**4)*(-3*p + p + p) + p**5 + 0*p**5 + 2*p**5.\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331342?\nAnswer: 2, 11, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-600)\/(-70) - (-18)\/42. Let j be (n - 1) + 0 - 8. Let u = -0.63 - -0.6. Which is the fourth biggest value? (a) 5\/6 (b) u (c) 5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/33 + 1\/22. Let x = -81 + 647\/8. Let j = 517\/91 + -72\/13. Which is the smallest value? (a) j (b) l (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 82 = 9. Suppose -2*q - z = -2*n + 1, 0 = 4*n + 3*q - 120. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/8)\/((-24)\/(-192)). Suppose -5 = -a*n + 3. Suppose -4*c + m + 12 = 0, -6 = -2*c - 9*m + n*m. Calculate the remainder when 8 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 14*d**2 + 25*d + 17. Let i be s(-12). Suppose 2*w - 11 + i = 0. Solve -w*j + 12 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*t**2 - 226929*r - 29*t**2 + 2729*t - 3 wrt t.\nAnswer: 4*r*t - 58*t + 2729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 239 - 247 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 27 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*b - 5 - 3, -21 = -5*i + b. Solve 0*u - 4*u = 3*l + 6, -i*l - 2*u = 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 15*w + 13. Let x be a(-7). Suppose 2*z - x = 33. Let k = -14 + z. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7893 + -1.0893. Sort 15, c, -85 in increasing order.\nAnswer: -85, c, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1349 + 1460 = -183*d - 3413 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 10*h + 12. Let g be i(-9). Let n = -3 + 10. Let j(r) = -r**2 + 8*r - 9. Let v be j(n). What is the closest to v in -6\/7, 4, g?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*((sqrt(24)*-4)\/sqrt(12) + sqrt(288) + 4))**2.\nAnswer: 9216*sqrt(2) + 20736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u + 2. Give q(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 540*q**5 - 2*q**2 - 507?\nAnswer: 32400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 24 (c) 0.3 (d) -0.066\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ab00c5 (base 14) to base 3\nAnswer: 101220201110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4352, -8701, -13046, -17387, -21724?\n\"Answer: 2*f**2 - 4355*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 + 1 - -3. Let g = y + -15. Let d be g\/(1 - (-1 - -3)). Solve b - d = -5*a, 0 = -3*a - b - 3*b + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*z - 6711546 = -123*z - 2321238. Calculate the greatest common factor of 636 and z.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 113 - 125*w.\nAnswer: -125*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80900689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 2*t. Let w be a(-2). Let h = w + 0. Let i(j) = 2*j**3 - j**2 + 3*j + 6. Does 26 divide i(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 29*b**2 - 4*b + 3. Does 36 divide l(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, -4, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -381110 + 596106. Let u(p) = 6 - f*p - 1 + 11. Let s be u(-4). Round s to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54.731 - -1.731. What is the second smallest value in a, 4, 3\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4864995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*u - 36, -4*q + 21*u + 97 = 18*u. Let x(l) = -l**3 + 29*l**2 - 26*l - 26. Let i be x(q). Solve 3*y - 25 = -5*j, -i = j - 6*j - 4*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133013*k**2 + 84956*k wrt k?\nAnswer: -266026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 2*t - 1. Let u be i(1). Let q be 8\/6 + 1735\/15. Let s = q - 1054\/9. What is the closest to -0.2 in u, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -17*u - 252. Let l be s(-15). Find the second derivative of 6*y + 8*y**l - 31 - 2*y + 18*y**2 + 17 wrt y.\nAnswer: 48*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7826627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose w + q*w - 27 = 0. Calculate the remainder when w is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 8) to base 7.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 24 - 15 = 0. Differentiate 13 - 17 - a*z + z wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 541*f**3 - 17761*f - 38685*f + 57122 - 674*f**2 - 356*f**3 - 187*f**3 = 0. Calculate f.\nAnswer: -169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*n**3 - 181*n**3 + 360*n**3.\nAnswer: -130*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(700)*-3 + (1 + -1*sqrt(252))**2.\nAnswer: -42*sqrt(7) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*k. Suppose -5*m + 5 = k, 4*m + 3 - 13 = -2*l. Suppose 0 = 8*t - l*t - 90. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*w - 22 = 0, -4*w + 32 = -5*l - 15. Suppose -7*j + 48 + 169 = 0. Let n = j + l. Solve 4*x = 4*a + n, -5*a + x = -2*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (sqrt(448) - 3*(1 + sqrt(448))) + -2)*-3 - ((5 + (sqrt(448) - (sqrt(448) + (-1 + sqrt(448))*-5 - sqrt(448))))**2 + -1).\nAnswer: -16112 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8395*k + 8394*k + 80. What is the remainder when 587 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a0927 - -19?\nAnswer: -a090b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -487*y + 167. Is t(-4) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420183015 to the power of 1\/2, to the nearest integer?\nAnswer: 49195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33567241 (base 8) in base 2?\nAnswer: 11011101110111010100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132) - (sqrt(132) + 2*sqrt(132) + sqrt(132))) + -4*sqrt(132)*2)\/(sqrt(120)\/sqrt(40) - (sqrt(12) + sqrt(108)*3))*-2.\nAnswer: 40*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17979, 35788, 53535, 71190, 88723, 106104, 123303?\nAnswer: 140290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6888*y = 13760*y - 6887*y + 450 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*c + 239 = -453 - 218 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 5*k**2 + 7*k - 1. Let j be u(6). Let q be 44\/14 - j\/35. Let n be (5\/q)\/(2\/42). Calculate the greatest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - sqrt(6)*-2)*6)\/(sqrt(4)\/(sqrt(4)\/sqrt(2))).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/(-224) + 6\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -8*r + 32 + 5 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -101111 (base 2) in base 3?\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/15)\/(4\/(-10)). Suppose -3*k + 3 = -y. Solve -k*t + 2 + 4 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1907061 and 73\/13710?\nAnswer: 19070610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -5\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwnmmhwnwlwmwwlwwnw. Give prob of sequence wmmm.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -3\/1832 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 5 (c) 1043 (d) -6\/11 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 23572*t - 164808.\nAnswer: -4*(t - 5886)*(t - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:16 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2)**(1\/23)\/((c\/c**(2\/53))\/c*c\/(c*c\/(c**(10\/9)\/c)*c)) assuming c is positive.\nAnswer: c**(22091\/10971)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185684862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3260 = -6*n + 3251, -6 = -3*n for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 466 + 494. Suppose 0 = -3*n - 4*y + 47, 3*n = -n - 4*y + 56. Let t(j) = 5*j - 21. Let k be t(n). Calculate the highest common divisor of z and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(44\/((-1936)\/(-55)))*(-150)\/(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38843049 to the nearest integer?\nAnswer: 6232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, -15, -95, -249, -501, -875?\n\"Answer: -4*t**3 - t**2 + t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 913 - 908. Sort i, -258, -5 in decreasing order.\nAnswer: i, -5, -258","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*o - 2196 = 233*o. Calculate the greatest common factor of 61 and o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 26. Suppose 3*w - q - 111 = 0, -b*w = -4*q - 82 - 20. Let i = w - 25. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -735, -2429, -5727, -11163, -19271?\n\"Answer: -89*p**3 - p**2 + 2*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 17*v = -1188. Calculate the least common multiple of (-329)\/(-28) + (-2)\/(-8) and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 - 2*p - 2. Let o(l) = 51*l**2 - 21*l - 21. Let j(r) = -21*d(r) + 2*o(r). Let v(g) = 2*g**2. Calculate v(j(u)).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 14. Suppose q = -a + u*a - 43, -5*a - 3*q + 81 = 0. Solve -4*r = -r + a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 - c - 3. Let k be b(-5). Let f be k*(-1)\/2 + 2. Suppose 0 = -9*z + 12*z - 15. Solve 21 = z*r + f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -3) + -3 + (3 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23483, -94070, -211737, -376484?\nAnswer: -588311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 29*h**2 + 33*h**2 - 5 - 7*h - 63*h**2. Give o(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34*1*13\/((-572)\/(-22))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34030 (base 6) to base 13.\nAnswer: 222c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032534506 to seven decimal places.\nAnswer: 0.0032535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - j. Let y(p) = 102*p**2 + 187*p. Determine 374*v(q) + 2*y(q).\nAnswer: -170*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*u - 39. Solve -u = -y + 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-5) + (-4)\/22 + 265\/(-55)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - f**2 - f**3 + 4*f**3 + (-15*f + 44*f + 37*f)*(2*f**2 + 0*f**2 - 3*f**2) to l*f**3 + w + j*f**2 + s*f and give l.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -435 + 604. Let k(w) = -169 + b + 21*w. Let o(q) = -3*q**2. Give k(o(h)).\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(7\/4)\/(c\/c**(-2)*c\/c**(-1)) assuming c is positive.\nAnswer: c**(-87\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -198442164*f - 105584573.\nAnswer: -198442164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f - 46. Let h be z(-25). Let l(c) = 165*c - 6. Let k be l(2). Suppose y = -3*y + k. What is the greatest common factor of y and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -338. Calculate the greatest common divisor of d and 1807.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9*(-14)\/(420\/9). Sort -2, 1, -3, n in increasing order.\nAnswer: -3, -2, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -394 - -393.2. Let g = 0.71 + q. Suppose 3 = -3*d, d + 1 + 5 = 5*r. Which is the smallest value? (a) -0.3 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4078186 times 0.004?\nAnswer: -16312.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 + 24*v - 45. Let u(z) = 55*z**2 - 265*z + 495. Let q(k) = 65*h(k) + 6*u(k). Factor q(a).\nAnswer: 5*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6254279010.\nAnswer: 2, 3, 5, 7, 359, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 5022553.\nAnswer: -4, 4, 5022553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 394, -1\/7, 4 in decreasing order.\nAnswer: 394, 4, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 105, 124, 155, 198, 253?\n\"Answer: 6*n**2 + n + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 404.1 and -27493.\nAnswer: -11109921.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + c - 5*c - 20 = 0, 0 = -3*o + 3*c + 9. Solve 4*i - 9 = 3*s, 5*s = 5*i - o - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390816259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-152)\/(-266)*(-49)\/(-3))\/((-10)\/15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) + 492\/24. Let c = 1241 + -1227. Calculate the greatest common factor of l and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1476 and 101\/60.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 6. Let m = 68 + -71. Let g be j(m). Solve n = g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271859 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*f + 4. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1)\/(-1) + -9 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u - 3. Let s(f) = -9*f + 7. Let v(z) = -7*p(z) - 4*s(z). Let h be v(5). Which is the third smallest value? (a) 5\/3 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51330491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/(-22) - 788490\/(-330)?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-58 + 71 - (17 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 1\/6*p**4 + 0*p**2 - 2*p - 1\/6*p**3 + 0. Find the second derivative of b(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/3 (b) 2 (c) 2\/9 (d) -142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (91579\/2)\/((-1)\/2). Let l = 179579 + p. What is l rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -28*l**3 - 19*l + 6. Let j(g) = -19*g**3 - 13*g + 4. Determine -5*f(i) + 7*j(i).\nAnswer: 7*i**3 + 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**3\/3 - 2*a. Let g(t) = -3 - 3*t + 4*t + 3. Calculate b(g(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + 0 - 6)\/(-1 + 0). What is the closest to -1 in 1\/4, 2\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 2 t when four letters picked without replacement from {n: 5, z: 1, f: 3, t: 5, d: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29 + (2 - 4) + 4. Suppose 4*l = 2*s - s + 73, 4*s - k = -3*l. Find the second derivative of 2326*b**2 - l*b - 2326*b**2 + 18*b**3 wrt b.\nAnswer: 108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33448527 or 33448526?\nAnswer: 33448526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 515170869?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 12 = -0*c + 2*c, -4*v + 4 = 0. Let f be (-19)\/c - (-14)\/49. Let 23*u - u**2 - 23*u - 2*u**f - u**4 = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 42. Let i(x) = x + 9. Calculate i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -108*b**2 + b - 4. Let h be n(4). Let r = h + 3881. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**2 + 1. Let s(f) be the third derivative of -21*f**5\/10 - 47752*f**2. What is h(s(v))?\nAnswer: 252*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -586 + 2*a + 586. Let m(q) = -9*q**2 + 3*q. Let c(h) = 18*h**2 + 0 - 5*h + 0 + 0. Let l(z) = -3*c(z) - 5*m(z). What is l(j(i))?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49*b**2 + 2766*b + 4573911.\nAnswer: -98*b + 2766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11720 at least as big as -78.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -7, -2, 5, -616, 10.\nAnswer: -616, -14, -7, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*o + 3*q + 5, 0 = 2*o + q - 11. Let l(y) = -y**2 + 6*y + 9. Determine l(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 0. Let o be (6205\/z)\/(7\/(-2)). Let x = o - -177. What is the biggest value in x, 3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose u - 8 + 3 = a. Let b(y) = -2*y + 46. Let w be b(21). Solve -w*m = m - u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbuucuc. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1145, -4547, -10209, -18131?\nAnswer: -28313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 35 = -2*k. Let v be (-4)\/14 - (-788)\/14. Suppose 119 = 5*y - 3*h, 4*y - 48 = -2*h + v. What is the remainder when y is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 92\/30 - 5\/75. Solve m - 38 = 7*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 212002112?\nAnswer: -212002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 194597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 0 (c) -5 (d) -0.419 (e) 2 (f) 69685\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -3, -2, 6 in descending order.\nAnswer: 6, 3, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 583171903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.5733645 rounded to three dps?\nAnswer: -108.573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from kppkrkp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0*y + 5*y = 32, -3*o - 4*y + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2856*a**2*x*y**2 + 3*a**2*y + a*x*y**3 + 2*a*y**3 + 53*y**3 - 5*y**2 with respect to x.\nAnswer: -2856*a**2*y**2 + a*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 1. Let t be (-4 + 4)\/(1\/y). Let s(n) = 3*n**2 - 2 + t + n - 2*n**2. Let v(w) = w. Give -s(h) - v(h).\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmemerrmmmxmerrmrrm?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17775 + 0\/(0 + 1 + 6 + -9). What is the highest common divisor of p and 675?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/254 and 131\/594.\nAnswer: 75438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*d - 0*d + 516, a = 2. Let o = d - -138. Calculate the lowest common multiple of 1 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 18 + j + 4)*(-155*j - 19*j**2 - 19*j**2 + 36*j**2) + 4*j**3 + 2*j**3 - j**3 as z + r*j**2 + p*j**3 + w*j and give r.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25565 is divided by 205.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -8. Let g = l - -19.6. Round g to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a centimeter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**4 + 48*f**3 - 285*f**2. Let v = 148 - 145. Let c(m) = 3*m**4 + 96*m**3 - 569*m**2. Let u(q) = v*c(q) - 7*o(q). Suppose u(j) = 0. What is j?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0829 rounded to 2 dps?\nAnswer: -4.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89380*m**2 + 5*m - 7194.\nAnswer: 178760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3813 + 3816. Sort m, -34, 1 in decreasing order.\nAnswer: m, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16698 is divided by 5563.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53008 - 25665. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7307063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132739 (base 12) to base 2.\nAnswer: 1001101000010011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 158 + -153. Suppose 0 = -t*f + 383 + 42. Do f and 85 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/35)\/(((-1533168)\/(-945))\/208)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -72100944 = -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -36d717 (base 16) in base 11?\nAnswer: -203525a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:54 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39b2 - -71b?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/9346804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1280 and -25\/2215232.\nAnswer: 44304640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/8 + 1365\/(-14). Let n = s + 264. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/32 and 101\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9225)\/18*-26 + 0\/1 + -5. What is the greatest common factor of 74 and z?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m**3 + 0*m**2 - 1\/15*m**4 + 2\/75*m**5 + 7 + 0*m. Determine d so that f(d) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -8 + 42 - (14 + -5 + -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**8)\/(x**(2\/13)\/x)*x**(-5\/6)*x*(x*x**(6\/5))\/x)\/(x**12*(x*x**(-1\/2))\/x)**(6\/5) assuming x is positive.\nAnswer: x**(-7249\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((18\/(-3))\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4546747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1541, 1532, 1501, 1436, 1325, 1156?\n\"Answer: -2*w**3 + w**2 + 2*w + 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.987 and 0.1.\nAnswer: -5.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 85502 (base 13) to base 7\nAnswer: 2020433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 10. Let u be w(14). Suppose -3*d + 13 = -2. Suppose -3*g + u*a - 145 = -428, d*a = -5*g + 495. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-84)\/(-30))\/(3\/(-30)). What is the remainder when 7\/n - 26\/(-8) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(17))*-3.\nAnswer: -6*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, m: 4, b: 2, w: 2, t: 3}. What is prob of sequence qbt?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*f - 5477, 4*f - 6965 + 1496 = -m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 17 = -a, -4*x + a + 58 = -a. Suppose -3*o - o = -x. Which is greater: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Suppose -3*q + m*p = -408, 3*q + p - 329 = 59. Let u = -69 + q. Calculate the remainder when u is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + o = y - 107, 3*y - 4*o - 318 = 0. Suppose -y = -5*g - 3*r - 41, -4*r + 60 = 4*g. Solve -g = -0*c - 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.016 + -0.0102. Let f = o + -22.7058. Let n = f + 23. Put n, 1, -2 in descending order.\nAnswer: 1, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -267\/2, 811, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 5417235315.\nAnswer: 5417235316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339259775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-2)\/11)\/((-78)\/858).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 2*z**3\/3 - 5*z**2 + 8. Find the second derivative of o(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5083133 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 4*n + 20, -f + 38 = -1659*n + 1650*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-671)\/330*-5*(10\/25)\/(2\/(-30))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*c = -5*c - 5, 10 = 4*z + 2*c. Suppose 0 = 2*o + 4*f - 48, z*o + 2*f = f + 102. Calculate the lowest common multiple of o and 38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43357 + -61587. What is r rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.17 - -30.83. Is 0.3 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2137 - 2137.00007466. Round f to 6 dps.\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 3*k - k**3 - 3*k. Let z(g) = -g**3 - 2*g. Let a(c) = -c**2 + 6*c + 9. Let i be a(7). What is i*s(b) - 3*z(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.47 - -0.03. Let g = -56 + 60. Put m, g, -0.2 in descending order.\nAnswer: g, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79985 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 - 2*v - 2. Let x(f) = -f**2 + 2 - 6*f**2 + 4*f + 4*f**2 + f - f**3. Let w be x(-4). Let y(m) = -17*m**2 - 9*m - 9. What is w*y(o) + 9*q(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 28*l**2 + 37*l + 44. Let h be z(41). Suppose -14*m + h - 916 = 0. List the prime factors of m.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1669, 3263, 4775, 6205, 7553, 8819?\n\"Answer: -41*r**2 + 1717*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**3\/3 + v**2\/2 + 2*v - 1. Let l(c) = c**2 + 2*c + 3. Suppose 2*m + 3*f + 18 = m, 2*m = 5*f + 19. Calculate m*k(r) + 2*l(r).\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3999*l. Let b(k) = 5121*k. What is b(w(x))?\nAnswer: -20478879*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*p - 32 = p, -2*p = 4. What is the units digit of (t\/9)\/((-3)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1440050 (base 6) in base 16?\nAnswer: -1441e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*k + 29. Let d = 30 + k. Let y = -10 + d. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.453 + -0.253. What is the closest to 1\/4 in i, 5, 23?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/3*-2 - -4. Suppose -3 = -j*p + 3. Suppose 0 = 4*t + p*m + 7 - 31, -4*t + 4*m + 52 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/10)\/(2\/10). Let j = -193\/4 - -8. Let f = j + 40. What is the third biggest value in 1, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-7)*g**(2\/37)*g assuming g is positive.\nAnswer: g**(-183\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 16*k - 5 - 4 + 8 - 32 to b + g*k and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179577 by -9.\nAnswer: -19953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 516*w**3 + 1521*w**2 - 12*w - 2028.\nAnswer: 3*(w - 1)*(w + 2)**2*(w + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 143a8 + -2?\nAnswer: 143a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/12)\/(18\/(-4887)) is divided by 2\/2 + 90\/2?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 - 103. Suppose 4*r = 17 - 5. Let q be (r\/(-4))\/((-2)\/y). What is the greatest common factor of q and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540647955 to the power of 1\/2, to the nearest integer?\nAnswer: 50405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/8 - 189*k**3\/2 + 41079*k**2\/4 + 4088259*k\/2 - 1403700483\/8.\nAnswer: -3*(k - 97)**2*(k + 223)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3328 and -8.2.\nAnswer: 27289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/131 and 4\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -797 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 410 - 398 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2. Let w(z) be the first derivative of 0*z + 126 - 109\/2*z**2. Calculate w(b(s)).\nAnswer: -327*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 118.263*1.098\nAnswer: 129.852774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2264 - 3?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (2 + 3 - 5) - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*n**5 - 76*n**2 + 76*n**2 + (n**2 - 2*n**2 - n**2)*(2*n**3 + 0*n**3 - 4*n**3).\nAnswer: 48*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g = 252. Suppose 2*t - 116 = 5*o + 8, -3*o = t - g. Suppose -3*k - 8 = -35. What is the highest common factor of t and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85692*s**5*y**2 - 3*s**5*y - 644793*s*y**2 - 3*s wrt s.\nAnswer: -1713840*s**3*y**2 - 60*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170690 - 85349 + 142*b + 121*b - 85341.\nAnswer: 263*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 9409 and -24.\nAnswer: 9385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157\/5344 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(3\/2))\/(p*p**6) assuming p is positive.\nAnswer: p**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15345)\/217)\/(-15)*-3*14\/(-36).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 1:22 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h - h + 0*h)*(2 - 4 + 0) + (-2 + 2 - 7)*(3*h + 8*h - 4*h))*(-13 + 8 + 6)*(-1 + 4 - 1).\nAnswer: -94*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 + 3*g**3 + g**2\/2 - 19*g + 1642. Calculate h(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5076)\/12690)\/(2\/(-160)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 8*t - 7. List the prime factors of p(8).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 557*q + 2832. Let x be k(-5). Solve 26*m - 125 = -x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*h + 702*h**3 - 1090*h**3 + 391*h**3.\nAnswer: 3*h**3 + 44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1341235*o**2 - 1085815?\nAnswer: 2682470*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/13 + 202*f\/13 + 4956\/13.\nAnswer: 2*(f + 42)*(f + 59)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1031436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1675242042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -59*j + 1. Let p(b) be the third derivative of 18*b**2 + 0*b**3 + 0*b + 0 - 1\/24*b**4. Give p(d(a)).\nAnswer: 59*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 15 - (2 - -6) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -16825*m - 10. Let v be y(-2). Suppose -65 = 4*f - 421. Suppose f*d - 93*d = v. What is d rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 6*z = -2*f - 10, 0 = -f - 2*z - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 11*h**2 - 17*h + 5. Let g be x(-9). Let m = 5 - 13. Put g, 1, m in descending order.\nAnswer: 1, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 1. What is the smallest common multiple of (-1 - -5)\/(9\/18) and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*f**2\/5 + 109932*f - 549666\/5 = 0. Calculate f.\nAnswer: -91611, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -574 - -611. What is the remainder when 65 is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*u + f, -u - 23 = -0*u - 3*f. What is the closest to -2 in 29, u, -3, 0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**2 - 11*m - 6. Let h(d) = -3*d**2 - 11*d - 7. Let g(f) = 5*h(f) - 4*x(f). Let u be g(12). Which is the nearest to u? (a) -4 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 - 3*w**3 + 0*w**3 - 2*w**3 - 1 + 1 + (-w**2 - 3*w**2 + 3*w**2)*(2*w - 3*w + 0*w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -26*s**2 - 768*s + 206. Determine u(-25).\nAnswer: 3156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45163.07l?\nAnswer: 45163070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 2*b - 3. Suppose -3*u + 2*r = -22, 21 = u - 2*r + 7. Let a be 0\/((4\/2)\/(-2)). Suppose a - 12 = u*k. What is j(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -96. What is the closest to 0 in -12\/7, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23407, -180748, -607807, -1439440, -2810503, -4855852, -7710343, -11508832?\nAnswer: -16386175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1542\/265 greater than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 5*o - 2*o)*(4 - 1 - 4) + 0 + 2*o + 0 + (-3 + 2 + 2)*(-11*o - 31*o - 150*o).\nAnswer: -192*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 13 = -2*s - 16, 5*g = 5*s - 40. Let l = -7 - g. Suppose 5 = l*x - 9. Solve -i + 3 - 4 = u, 5*i = -2*u + x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -709.920733 to 2 dps.\nAnswer: -709.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*k + 606 = 0, 11*y + 5*k - 1797 = -18. Calculate the remainder when 471 is divided by y.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*a + 86*a + 69 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**6\/15 - 2*x**5\/25 + x**4\/5 + 4*x**3\/15 - x**2\/5 - 2*x\/5 + 8. Let h(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*(3 + (sqrt(1300) + (((sqrt(1300) - (1 + sqrt(1300) + sqrt(1300))) + sqrt(1300) - sqrt(1300)) + sqrt(1300))*-6)**2 + -6*(5 + sqrt(1300)*-1) + 1).\nAnswer: -6546 - 900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*a = -10862, 5*a - 6652 = 2*y - 17506. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -732*i**2 + 62*i - 38. Let q(y) = 488*y**2 - 43*y + 26. Let k(d) = 5*f(d) + 7*q(d). Find the second derivative of k(w) wrt w.\nAnswer: -488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10 + 3\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 m when three letters picked without replacement from {m: 1, a: 2, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2 - 1 + 6*i - i**2 - 4*i - 13*i + i. Give y(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (3 - (-4 - -3) - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*10\/(-20)*1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b**2 + 22*b**2 + 7*b**2 + 44.\nAnswer: b**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-2)*(-36)\/30. Suppose -f*m = u - 4, 7*m = 4*m - 5*u + 20. Suppose 5*q = -4*p - 1, -3*q + m*p + 2*p = -17. Is q < 14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 293*z**2 + 767*z - 29876. Give q(-290).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiqzqgtgqiq. Give prob of picking 2 g, 1 t, and 1 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 19 = -a + 32, -l = 2*a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5. Let h be (-192)\/15*(-4 - p). What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3168*k - 2973*k + 1425*k**2 - 2121*k - 5*k**3 + 8400 + 1232*k = 0. Calculate k.\nAnswer: 2, 3, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c + 19. Let r(l) = -4*l + 18. Let u(m) = -3*f(m) + 2*r(m). Let y(t) = t - 5. Suppose 35 = -4*b - p, -2*p + 1 = -1. What is b*y(q) + 2*u(q)?\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13924 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*j = -6, -5*u - 4*j - 20 = 15. Sort u, 0, -4, -129 in descending order.\nAnswer: 0, u, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 117525, 118963, 120401, 121839, 123277?\n\"Answer: 1438*b + 116087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 135?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5 + 183318*j**4 + 3667248*j**3 - 8067752*j**2 = 0. What is j?\nAnswer: -22, 0, 2, 91679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5491*m + 85 - 75 - 3*m**2 + 6*m**2 + 6821*m.\nAnswer: 3*m**2 + 12312*m + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcw when three letters picked without replacement from {w: 1, m: 1, n: 1, r: 2, z: 1, c: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 + y + 2. Let f be h(2). Suppose 16 = 7*o - 3*o. Suppose -3*s = -2*n - 2*s + 16, s = -o*n + f. What is the greatest common divisor of 70 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 437652121 + 0?\nAnswer: 437652121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-31)*(t**23\/t)\/t*t)\/(t**(18\/11)\/t*t*t*t\/t**(2\/47)) assuming t is positive.\nAnswer: t**(-6511\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -46*((-7)\/((-49)\/(-70)) + -6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + (2 + sqrt(847) - sqrt(847)))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -620067, -1240128, -1860189, -2480250?\n\"Answer: -620061*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 20*g - 16*g = -4557, -4*z + 3646 = -3*g. What is the greatest common divisor of z and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -493*k**2 - 696. Let x(z) = 2*z**2 + 3. Let r(p) = 3*a(p) + 696*x(p). Let w(y) = -3*y. Determine w(r(q)).\nAnswer: 261*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3888*k**2 + 192*k. Let s(d) = 101*d**2 - 5*d. Suppose -42*g + 37*g = 960. Let o(n) = g*s(n) - 5*j(n). Let q(c) = -c**2. What is q(o(m))?\nAnswer: -2304*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*u = -19, g - 10*u + 17*u = -4*g - 0*g - 12*u - 110 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 7) to base 5\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 12*b + 19 = 14*b, 3*n + 7 = -4*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4529582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340378 plus -39033990?\nAnswer: -41374368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6714417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 3. Let y be (2374\/4 + o)\/((-9)\/(-2)). Let w = 131 - y. Which is the fourth smallest value? (a) -0.4 (b) -3 (c) w (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83001?\nAnswer: 3, 73, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1582 - 1585. Put y, -8, 6, -2 in descending order.\nAnswer: 6, -2, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423185093?\nAnswer: 223, 1897691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7\/14 + 128802\/(-12))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -7722406.\nAnswer: -7722406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -396 - -689. Let c = 547 - n. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04413 rounded to 3 dps?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1068*o**3 + 2*o - 1165*o**3 + 0*o to the form q + m*o + n*o**3 + d*o**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -29. Let u = -7.4 + 7.11. Let a = 0.01 - u. What is the nearest to w in 2, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 354031 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*y - 907126000 = -139*y + 34*y. What is y rounded to the nearest ten thousand?\nAnswer: 4120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*p = -19, 4*d + 0*p - 8 = 4*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.212 + -0.012. Which is the nearest to 1? (a) -1\/4 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5) + (-48)\/(-195).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.01511704 rounded to two decimal places?\nAnswer: 30.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smss when four letters picked without replacement from {m: 5, s: 3, x: 4}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i + 73. Calculate p(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3 - 103*d**2 - 247*d - 98 = 0.\nAnswer: -49, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41705\/4 - -10483. Let g = n - 57. What is the third smallest value in 16, g, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 3*w. Let n be x(3). Let g be 0\/(0 + -3) - n. Suppose g = 5*c - 20, -4*c = 2*s + s - 40. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-270)*(-126)\/(-14).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7670 - 13?\nAnswer: -7683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47847, 47844, 47827, 47790, 47727, 47632, 47499, 47322?\nAnswer: 47095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69081 is divided by 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (2 - -16)\/6)*0. Which is smaller: 924 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 10*o - 5. Let u be l(-10). Let t(h) = 4*h + 50. Let q be t(u). What is the greatest common factor of 12 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006985191 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-3)\/(-28))\/(-3))\/((-12)\/(-468)) and 139\/18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00212502777 to five decimal places.\nAnswer: 0.00213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.36, 5, -2.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 9) in base 2?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 361.1.\nAnswer: -36.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 j, and 1 g when three letters picked without replacement from xxjjxgnjojgjj?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3) + (1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19477911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.8 + -2.2. Suppose 5*h = -6 - 4. Let m = -0.277 + 0.277. Sort h, 1\/7, m, p in decreasing order.\nAnswer: 1\/7, m, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 7:46 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/((-44)\/(2992\/170))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -3) + 2 - 589. What is k 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 third derivative of -3*u**5 + 8*u**4 + 1304*u**2 wrt u?\nAnswer: -180*u**2 + 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-276)\/(-42) - 4. Which is the third smallest value? (a) -3\/2 (b) -2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 5*x + 5. Let w(s) be the first derivative of s + 1\/2*s**2 - 1. Suppose 2*c + 2*m = 22 - 6, -4*c - 5*m + 35 = 0. What is c*w(y) - k(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.24 + -1.64. Let r = 1 + -1. Which is the third smallest value? (a) x (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 516 = -z + 3*z, -5*z + 4*w = -1266. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/139 or -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2. Let c = -3 + 5. Let d = -415 + 423. Let z(n) = 20*n**c + d*n - 8*n. Give z(h(x)).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/9))**8\/(l**2*l)**(-25))\/((l**2*l*l*l**(-1\/7))\/(l**(-1\/2))**(-2\/29)) assuming l is positive.\nAnswer: l**(133289\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3202.671892 - 0.028108. What is s rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.25. Let n = 1.4 + -1.75. Let v = n - g. Which is the third biggest value? (a) v (b) -1\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times 44.62?\nAnswer: 2409.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, n: 10, m: 4}. What is prob of sequence nmvv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*j + 66118 = 0, -4*j - 3125 = 3*c - 69235. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -21*c - 8. Let v(y) = 23*y + 7. Determine -3*d(b) - 4*v(b).\nAnswer: -29*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 23 = 5*q. Find the common denominator of 15\/4 and ((-11)\/16)\/(q\/220).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 272459494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19173 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 6*r - 2*r)*(-2 + 4 - 13) + 3*r - 6*r + r - r + 3*r - r + (-3*r - r + 3*r)*(2 - 2 - 2).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15690, -36984, -58278, -79572, -100866?\nAnswer: -122160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 39*z = 41*z + 18, 46 = 2*m - 3*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**4)\/l)\/l**(-16)*l**(-17)\/(l**(-11)*l*l*l) assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x - 9, 4*v - 5*x = 187. Find the third derivative of -2 - v*c**6 - 74*c**5 - 77*c**5 - 58*c**2 + 151*c**5 wrt c.\nAnswer: -5160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -578, -1055, -1438, -1727, -1922?\n\"Answer: 47*x**2 - 618*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3506\/14373 or 1?\nAnswer: 3506\/14373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1378.165 micrometers?\nAnswer: 0.1378165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24145380 is divided by 464334?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 301*l + 493.\nAnswer: 301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 22 + 9 - g**5 + 181*g**4 - 54*g**5 - 181*g**4 - 2*g + 2*g - g**5 + (5*g - 5*g + 2*g**3)*(4*g**2 - g**2 - 4*g**2).\nAnswer: -58*g**5 + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/((-105)\/((-3360)\/64))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a + 3*a + 6*a - 2*a + 1 + a - 1 - 1 + a + 1 + (2 + 0 - 4)*(-5*a + 3*a + 0*a) + 28*a - 7*a + 4*a to the form r*a + g and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -637 - -1204. Suppose 27 = -5*n + h. What is the greatest common divisor of n and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Calculate the smallest common multiple of (-123)\/(-18) + (-1)\/g*-1 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3697.82948 + -3698. Let g = -2.23 + 2.4. Let i = g + o. What is i rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + 3*w**2 + 33*w - 71. Calculate b(4).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9 + -5)\/(-24))\/(29583\/(-2052)).\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-37 + 15 - (3 - -3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-9)\/(495\/(-11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -1 (c) 4\/3 (d) 1\/4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13464\/1088*(-4)\/(-11)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -10*p**3\/3 - 26*p**2 - 104*p\/3 + 8 = 0.\nAnswer: -6, -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 5*u**2 - 7*u + 5. Let f be r(6). Let b be 0\/(4\/(-4))*f. Suppose b = 9*y - 11*y + 48. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*a - 30. Let f(g) = g**2 + 11*g + 11. Let y be f(-10). Let t = a - y. Solve -t*q + 5 = -15, -13 = 3*c - 4*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(14\/140*-5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -816416 divided by 124.\nAnswer: -6584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*d - b, -2*d - 2*d + 5*b + 17 = 0. Solve 3*q + 15 = -2*l, 12 = -q - d*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 5:04 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnlcclnnlkncnll. What is prob of sequence ckln?\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 124875 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/17355 and -91\/214668.\nAnswer: 13953420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055668153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = -5*d + 818, 0 = d + i - 170. Let u = d + -156. Calculate the remainder when 389 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*(-8)\/6. Let t(d) = d - 2. Let k be t(2). Let w = -85 + 87. Put w, y, k in increasing order.\nAnswer: y, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85683 - -85683.0000110154. Round w to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3)*((-10)\/(-1))\/120*17.\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/3)\/((-24)\/2412). Suppose -4*w + 65 = -u. Let x(t) = t**2. Let v(l) = -15*l**2. Let k(f) = w*x(f) + 2*v(f). Let b(a) = 3*a**2. Calculate k(b(z)).\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2) + -1)**2*5 + -5 + -4 + -4) + 1.\nAnswer: -30*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + p)*(-4 + 0 - 11)*(0 - 3 + 4)*(1 - 5 + 2)*(1 + 5 - 4).\nAnswer: -120*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 326 - 95 = 4*h, -5*h - 3*f = -282. Suppose -3*q + 0*q = 5*n - 114, h = 3*n - 2*q. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3\/8)*p**(6\/11)\/p assuming p is positive.\nAnswer: p**(-73\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21926?\nAnswer: 2, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from dnoedokey?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105711?\nAnswer: 3, 167, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9037?\nAnswer: 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5897 + -3153. Is 10 a factor of (-30)\/8*11\/((-231)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18662, -17845, -17042, -16259, -15502, -14777?\nAnswer: -14090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*r + p + 4, -5*r - 3 = 2*p. Let b(c) = 2 + 5*c - 8*c + r. Let j be b(-4). Solve -5*y = 5*a + j, 7*a - 11 = 4*a + y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h - 3*h + 3*h)*(3 - 3 - 2)*(-6 - 9 + 10) to c*h + a and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(45)*-2)\/(sqrt(441) + sqrt(441) + (sqrt(441) - -1*sqrt(441)) + sqrt(441) - sqrt(441)).\nAnswer: -4 + sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*x - 2*s, -2*x + 6*x - 36 = -s. Let n be 1\/(2\/(-10)) + (-18)\/x. Let d(t) = -12*t + 22. What is the tens digit of d(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-328)\/104 - 1) + 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - -1) - -2 - 15 - 3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 3*m**2 - 4*m - 3. Let v be p(-4). Let j = 9 + -28. Let d = v - j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7901 = 248*g + 3755 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (480*n + 43*n - 160*n)*(-6 + 4 + 1)*(0*n + 4*n - 3*n).\nAnswer: -363*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5420)\/19512)\/(1\/(8\/(-50))).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:47 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 100001110101001000 (base 2) to base 4\nAnswer: 201311020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11305933?\nAnswer: 11305933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12671 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 187, 202, 217, 226, 223, 202, 157, 82?\n\"Answer: -x**3 + 6*x**2 + 4*x + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 10*c. Let d(n) = n + 2. Let f be d(c). Solve f*p = p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/75, 0, 0.03, -0.3 in decreasing order.\nAnswer: 0.03, 0, -11\/75, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 791035590 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onccfannncocacnoenao. What is prob of picking 1 e, 1 n, and 1 c?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 7928 = 27976. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12553, 2, -2.\nAnswer: -12553, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -932 = -9*k + 2128. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n. Suppose -3*f = -0*f + 3*i + 12, n = 4*f - 5*i - 29. List the prime factors of (-4)\/(4\/(-7))*f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -3 - 21*-1. Let o = c + 34. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -11. Let n be 4*1 + -1 + 1. Suppose n*p - 9 = -f + 12, p - f = 9. Solve -a + d = -p*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*f = f, -2*f = -8. Let w = -5 + v. Let j(k) = 69*k**2 + k. Does 25 divide j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + 33.328.\nAnswer: 65.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60188893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.697 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13547 and 2765773?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 93*y**2. Let k(x) = 5*x. What is g(k(r))?\nAnswer: 2325*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051631210 rounded to the nearest one hundred thousand?\nAnswer: 3051600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36810 = 38447*v - 38456*v. Is v greater than 4089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 + 10*x**2 - 23*x**2 - 25.\nAnswer: -2*x**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*b - 3*f, -b - 2*f = b - 12. Let r(z) = 8*z**2 + 3*z**3 + 1 - z**3 - z**3. What is the smallest common multiple of b and r(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/14 - (-8)\/14. Suppose 3*h + 5*c = 2, 4*h + 4*c = k + 5. Suppose h + 16 = -10*z. Is z less than or equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3016 + 2893.9. Let x = -196 - -318. Let k = t + x. Which is the nearest to k? (a) 5 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*f + 447*f = -126 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -543052 (base 6) in base 4?\nAnswer: -22323020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15179 - -82125047\nAnswer: 82140226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105562 - 14404?\nAnswer: -123266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*8\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - -174. Let z = p + -212. Sort -2, -69, 0, z in decreasing order.\nAnswer: z, 0, -2, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 13*n**2 - 11*n + 9. What is i(14)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n = -625. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:13 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 11 = 3*t, -3*u + 3*t + 14 = 5*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3601323 and 605.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 0*d - 4 + 0*d**4 - d**5 - 5\/2*d**2 + 0*d**3. What is the second derivative of n(c) wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17299829 divided by -17?\nAnswer: 1017637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**2\/3 - 7748*c\/3 + 15500\/3 = 0 for c.\nAnswer: -7750, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.10767m to micrometers.\nAnswer: 40107670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, -11\/53, 4?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**3 - 16*n**2 - 6*n - 1. Let o(i) = i**3 - 2*i**2 + 1. Let v(h) = -d(h) + 5*o(h). Give v(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 3*o**2 - o + 5. Let d be l(4). List the prime factors of 2*(-6)\/15*d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/190300 and 79\/693.\nAnswer: 11988900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254412311?\nAnswer: 79, 3220409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 94 = -0*w - 3*p, -p = w - 18. Suppose 4*l + w + 33 = 3*t, 19 = 4*t + 5*l. Let b = t - 6. Sort 0, b, -5.\nAnswer: -5, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*f**2 - 639*f**2 - 799*f**2 - 1003*f**2 - 336*f**2.\nAnswer: -2550*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*j + 63*j + 592 = 0. Let p(c) be the third derivative of 0*c**3 - 1\/12*c**5 + 0*c**j + 0 + 0*c + 10*c**2. Let w(z) = -z. Calculate p(w(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - 5*n + 5*n + 4 - 4 - n**4 + (2*n - n + 0*n)*(2*n - 2*n**3 - 2*n) + 0*n**4 + 0*n**4 - n**4 + n**4 + 0*n**4 - 2*n**4.\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 31*n + 140.\nAnswer: -(n - 4)*(n + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**4\/2 + 22*d**3\/3 - 368. Solve m(i) = 0 for i.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-11)\/(o*o**(-1))*(o**(-1\/4)*o)**(-36))**31)**(-2\/45) assuming o is positive.\nAnswer: o**(2356\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/16 and -59\/658.\nAnswer: 5264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/6*26\/(104\/(-6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46729550 divided by 4672955.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -11*k**4\/24 - 4*k**3\/3 - 390*k**2. Let t(c) = -4*c - 3. Determine -6*d(v) + 17*t(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/7)\/(4\/280). Calculate the common denominator of 2\/6 - (-1250)\/q and 3\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*k*p - 24*b**2*k*y + 44*b**2*k + 3*b**2*p*y + 34*b**2 + b*k - 96*k*p*y - 3*k*p - 4*k wrt y.\nAnswer: -24*b**2*k + 3*b**2*p - 96*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -362 - -9.1417153\nAnswer: -352.8582847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1400\/(-15))\/5*3*160\/280?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 7. Let d be (-8 - -2) + (-102)\/(-17). What is the biggest value in d, 2\/3, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3716 - 1870*s + 2146 - 2526 wrt s.\nAnswer: -1870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7166*q**2*s**2 - 131*q**2*s - q**2 - 13*q - 2*s wrt s?\nAnswer: -14332*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -84512 and -209023.\nAnswer: -293535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -199401 divided by 1614?\nAnswer: -66467\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 364 + -480.5. Let l = -5.187 + 109.187. Let p = r + l. Round p to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/25 (c) -4 (d) 1 (e) -3 (f) -102\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 8*z**2 - 6*z**2 - 10*z**2 + 28*z**3 - 10 + 5*z**2.\nAnswer: 28*z**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(190\/(-2850))\/(2\/27). Factor 9\/5 + o*r**2 - 6*r.\nAnswer: 3*(r - 3)*(3*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 3*y**2 + 13*y - 11. Let q be t(5). Solve 3*c + 14 = -q*l, -6*l + 13 = -7*l + 4*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000305952 rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-43)\/(-2))\/(1\/(-6)*99\/(-6204))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 858 divide 816829527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*f - 10*f. Suppose f = m - 11. What is the remainder when 61 is divided by m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14917, -14943, -14957, -14953, -14925?\n\"Answer: m**3 - 33*m - 14885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -718*-0.05\nAnswer: 35.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 3*y - 5. Suppose -5*n + 15 = 5*k - 3*k, 30 = 5*k + 5*n. Let q = 20 + -30. Let z = q + k. What is t(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i + 16*i + 5*i - 40*i. Let d(v) = -77*v**2. Determine d(x(m)).\nAnswer: -9317*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, -3, 19, 89, 231, 469?\n\"Answer: 4*s**3 - 12*s**2 + 6*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 28. Suppose -3*q = -4*s + 95, 2*s - 15 = 3*q + c. Let i be (s\/91)\/(1\/7). Solve f + f - 10 = v, -i*v - 2 = 2*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.2 (b) 2\/201 (c) 0.4 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-4)\/18)\/((-6)\/9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i. Let m(c) = 100*c**2 - 2*c. Calculate l(m(w)).\nAnswer: 700*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 292\/(-365)*15\/(-6). Suppose 3*n - 3 = -0*n. Solve i*f + n + 7 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289966470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 - f**2)*(-2 - 3 + 4 + (-7 + 53 - 6)*(-4 + 5 - 2)).\nAnswer: 41*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1339380 and 55?\nAnswer: 14733180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 42. Suppose -r*n + 16 + 817 = 0. What is the remainder when n is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + -0.08. Let a = 0.3 + m. What is the second biggest value in a, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*f - 2*v + 7, 2*v = 8. Suppose -n + 0 = -f. Find the first derivative of 5*a - n*a + 2*a**4 + 1 wrt a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (88\/9196)\/(382\/(-3629))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 19111, -0.2, -1\/9?\nAnswer: 19111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(28\/(-8)) - -62. Suppose 3*c + q = -2*c. What is the least common multiple of ((-16)\/c)\/((-5)\/(-45)) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 + (62 - 55) + -12 + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -13. Let z = 2396 + -1322. Let v = z - 1055. What is the remainder when v is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -310*r. Let x(w) = -26*w**2 + 11*w**2 + 10*w**2 + 4*w**2. Determine x(k(c)).\nAnswer: -96100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 680 + -321. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**3 - 848*b**2 + 849*b**2 - 3 - 4*b**3. Suppose -3*w + 23 + 6 = 4*r, 2*r = 5*w - 5. Let l(m) = -m**3 - m**2 + 5. Give r*j(g) + 3*l(g).\nAnswer: 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 94, -189, -2, -5?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*q**2 + 0*q + 0.\nAnswer: 2*q**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/207915321 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1505857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 10*t**2 + 17. Determine j(7).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*16)\/((-3)\/12). Let a(s) = 5*s**2 - 8*s + 5. Let j be a(5). Let f = j + z. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7}. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = 5*i, i + 0*i - 7 = 2*p. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u + 5*g + 10 = 0, -3*u - 3*g + 66 = 0. Suppose 0 = -2*v + 4*v - u. Suppose -3*i = -4*i + v. Solve i = -3*p - 5*h, 3*p - 6*h + h - 40 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, j: 15}. Give prob of picking 2 v.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -63. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b = 18*b - 42*b + 93 + 1023 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 3*t + 2. Give d(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6930553\/5676 + -53186\/43. Let l be 2\/((-24)\/(-211)*1). Let i = k + l. Calculate the common denominator of i and 10\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*t**2 + 37338*t - 8180566?\nAnswer: 8*t + 37338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:14 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -594 + 586. Let w(c) = -c**3 - 7*c**2 + 8*c + 15. What is the smallest common multiple of 20 and w(i)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u, -5*u + 60 = 5*s - 0*u. Let r = 4 - s. Let m = r + 13. Solve 0 = -2*p + q - 3, 2*p - 5*q + 2 + m = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334 + 115 = -3*h. Let f be 2*12\/(-8) + -73. Let b = -51 - f. Calculate the remainder when h is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15367, -15422, -15477, -15532, -15587?\n\"Answer: -55*w - 15312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 22*m + 106, -7*m + 3*m = -5*d + 65 - 50 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-561)\/(-204) + (-2)\/(-8). Suppose -518 = -l + m*i, 1829 = 4*l + 2*i - 243. Is 37 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3*b = 20, 0 = 11*h - 3*b + 105 - 151 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2415 + -0.1415. Suppose -3*m + 17 = -x, -4*m + 2*m + 13 = -x. Let a = -1 - m. What is the nearest to n in a, -2\/3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 78\/130 - (-28)\/20. Let o(v) = -v**3 + 2*v**2 + 4*v - 7. Give o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544402 a multiple of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gutgguuggguugtuu. What is prob of picking 1 t, 2 u, and 1 g?\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 5. Let q = -10 + z. Is 0.1 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + -53 - 12) + 109\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -918 (b) -2 (c) -3 (d) 2 (e) -125 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/10 - 422*r**4\/5 - 1704*r**3\/5 + 6776*r**2\/5 + 6808*r\/5 - 20352\/5 = 0.\nAnswer: -6, -2, 2, 848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.0384533 microseconds in weeks?\nAnswer: 0.00000000007612178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5893, 1390, 13535, 30548, 52435?\nAnswer: 79202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, m: 3}. Give prob of picking 2 e and 2 m.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 899999*y - 4. Let x be a(-4). What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.83 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33230210 - -5?\nAnswer: 33230215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-5940)*-22*-6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -2\/9, -21\/2, -0.4 in descending order.\nAnswer: -2\/9, -0.4, -21\/2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 3. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182047 + -54614263\/300. What is the common denominator of -4\/365 and a?\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1581750 and 75?\nAnswer: 1581750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d - 136. Let v = -18 - d. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250 + -250. Let y = 31 + -33. What is the second smallest value in y, 24, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 + 162. Suppose -59 + 6 = -3*p - 2*i, 0 = -4*i - h. Calculate the least common multiple of p and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/10)\/(8\/300). Let p(k) = -27*k + o*k - 20*k. Let c(b) = -6*b**2 + b. Let x(m) = -11*m**2 + 3*m. Let d(r) = 7*c(r) - 3*x(r). What is p(d(i))?\nAnswer: 18*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/14)\/(2\/4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5967, 11907, 17819, 23691, 29511?\n\"Answer: -2*v**3 - 2*v**2 + 5960*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -11*t. Suppose -c + 0 = -3*x + 5, t = 2*x - 4*c. Which is bigger: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 5*p + 2 - p**2 - 7*p = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/4)*l*l*l)**(-48))**(1\/50)*(l**(-1\/3)\/l*l**(-9)*l)**(12\/5) assuming l is positive.\nAnswer: l**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -57336 (base 9) to base 7\nAnswer: -216216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22046 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -125*u + 35*u - 25*u - 129*u + (u - 2*u - u)*(2 + 3 - 6) in the form p*u + b and give p.\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-167280)\/(-1080) - 140)*(-1 - 8)?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/16)\/(y**(9\/2)\/y)*(y**(-2))**(-12))**7 assuming y is positive.\nAnswer: y**(2289\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d40 - 1b8?\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 + 4*b**3 + 133*b**2 - 133*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(539))**2 - (sqrt(55) - (sqrt(55) - sqrt(3520)))\/sqrt(5)) + -5 + sqrt(891)*4 + -4.\nAnswer: -28*sqrt(11) + 546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/265 (b) -8\/21 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3786047099 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l**2 + 7*l + 8. Let y be o(7). Suppose -5*g = -573 + 213. Calculate the greatest common factor of y and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/39 + 31\/156. Suppose 5*k + 2 + 8 = 0. Which is the nearest to k? (a) 2 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*q + 62104, 34*q + 2 = 33*q. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 16) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 13*v**4\/24 + 17*v**3\/6 + 19*v**2\/2 - 16. Let y(z) be the second derivative of d(z). Is y(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4520 is divided by 75?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k**5*u - 2*k**4*u**3 + k**4 + k**2*u**3 + 27*k**2*u - u**3 wrt k.\nAnswer: 300*k**2*u - 48*k*u**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37518.8247us in weeks?\nAnswer: 0.00000006203509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlww when four letters picked without replacement from kwwkwkklkkkwvlk?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -0.48, -1\/8 in ascending order.\nAnswer: -0.48, -1\/8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 1. Let t(k) = 9*k**2 + 6*k - 5. Let n(u) = -6*h(u) + t(u). Is n(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -13\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2953608 or -2953578?\nAnswer: -2953608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - ((4 - 5) + -2)) + (5 - 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plie when four letters picked without replacement from eiqqllp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14161*r**4 - 406*r**2 + 10991658 with respect to r.\nAnswer: -56644*r**3 - 812*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 238 - 17423?\nAnswer: -17185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76108 = -15*j - 19093. List the prime factors of j.\nAnswer: 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306) + sqrt(306) + (sqrt(306)*2 - sqrt(306))*-6 - sqrt(306) - sqrt(306))\/(sqrt(81)*1))\/((-2*sqrt(98) - sqrt(98) - sqrt(98)) + -5*sqrt(18)).\nAnswer: 2*sqrt(17)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, f: 3}. Give prob of picking 2 k.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195911417?\nAnswer: 13, 17, 67, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1080\/(25 - -5) - 30) + 38?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 (base 4) in base 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2800 and (-17)\/((-52360)\/7579) + 3 - (0 - -5).\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*z - 3*z + 3*z)*(-34*z + 4 - 20*z + 0*z) to t*z + h + n*z**2 and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -511682200 rounded to the nearest 100000?\nAnswer: -511700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3009653, 3009726, 3009805, 3009896, 3010005?\nAnswer: 3010138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -28 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3666 + 3623. Put -2, j, -5, -6 in ascending order.\nAnswer: j, -6, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m - 2 = 0. What is the third derivative of 4*s**4 + 2*s**m - 2*s - 4*s**4 + 34*s**5 + 46*s**5 wrt s?\nAnswer: 4800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 10*z - 5*p - 15, -3*z - 3*p = 21 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 1. Let i(v) = -12*v - 6. Let a(o) = 2*o**2 - 14*o + 13. Let x be a(6). Calculate x*i(g) - 6*m(g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 32. Let j(c) = -3*c + 0*c + 2*c + 1. Let t(a) = -4*a + 4. Let g(m) = i*j(m) + t(m). Differentiate g(y) with respect to y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17105 by -286.\nAnswer: 1555\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -22. Let r(x) = -11*x + 1. Calculate r(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -253 in 0.7, 1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 24. Let l be w(-20). Solve -26 + 6 = -l*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 701597808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 + 68. What is the nearest to 2\/3 in -1, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 17172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:21 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 13*w - 11*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -7 + 6 + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -13*s**7\/7 - 274*s**5\/15 - s**3\/6 + 293*s**2. What is the third derivative of j(x) wrt x?\nAnswer: -9360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - -10. Let y(n) = -n**3 + 3*n**2 + 4*n + 2. Let v be y(5). Let g = f + v. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 494259\/7 and 70607 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 27*c**2 + 110*c + 63. What are the prime factors of n(-33)?\nAnswer: 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 753181.1 years to months.\nAnswer: 9038173.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100010010101111111000 (base 2) to base 7\nAnswer: 12364646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 542 - 298. Suppose -8 - t = -4*d. List the prime factors of 42\/14 + d + -1.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(27\/(-4)))\/10.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.14 (c) -4 (d) 0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-16)*(-12)\/(-30). What is the closest to 0 in -0.1, -1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 434 - -233?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgcscyk. Give prob of sequence ksyc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 0 - (-22)\/8. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -495.99403 - -496. Round y to 4 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50430 is divided by 97.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1655040, -3310087, -4965140, -6620199, -8275264, -9930335, -11585412?\nAnswer: -13240495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*x + 25, -x = 3 - 8. Suppose -4*g + 2*g + 5*d = -481, b = -d + 5. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170924529?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*d + 92 + 28, -2*p = d - 24. Let x be 5 + -2 + -5 + 5. Calculate the greatest common divisor of d and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n - 578 = 7*n - 50*n + 35*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and -0.26288.\nAnswer: -6.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -6*s + 255. Let u = s + -88. What is u rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20571 times -5?\nAnswer: 102855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 57272519.\nAnswer: 57272514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29565379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -138 (b) 2\/9 (c) 0.4 (d) -4 (e) 15783\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*75\/30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52185799.\nAnswer: 19, 37, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*p**2 + 13*p**2 - 42*p**2 + 13*p**2 to the form t*p + v*p**2 + d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/618 and 67\/165?\nAnswer: 33990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2.1, 0.2, 1\/4, 2\/7, -105, -5, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let c = 2 + q. Suppose -311 = 280*s - 1991. Solve c*l - 6 = s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*w - 219 - 391. Solve 3*k = 2*p + 3, -w*k + 19 - 14 = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least -2\/3571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let a(i) = i + 12. Let x be a(-10). Let f(j) = -2*j**2 + 3*j**2 - 2*j**x. What is f(k(d))?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2334611*g*m**2*n**3 - 11*g*m*n**2 + 535*g*n**3 + 4*m**2*n**3 - 49*m*n**3 wrt m?\nAnswer: -4669222*g*n**3 + 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*h**3 + 6*h**2 + 1623*h**4 - 5*h**2 - 1622*h**4 + 6*h**3 - 2 to the form l*h + i*h**4 + d + q*h**2 + f*h**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57.3 and 0.02?\nAnswer: -1.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-84 - -27) + 19 - -37\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:53 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-10\/7)\/((c**(-1)*c)\/(c*c*c**(-2))) assuming c is positive.\nAnswer: c**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/33 and 25\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + u + 5. Let w be a(-5). Suppose -k = 5*o - w, k - o + 1 = 2. What is the remainder when 13 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3aa6239 + -2?\nAnswer: -3aa623b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 118085 and 171.\nAnswer: 1062765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 0 - (226 + -278)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 327.9 + -343. Let f = 0.9 - n. Let q = -16.0000065 + f. What is q rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 51123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:54 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from rrrruurrqfrrurrqqru?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12443?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(5\/(-4))*(-7)\/7. List the prime factors of (27\/2)\/(k\/(-32)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, -6\/11, 1.6, -1\/6, -2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*n + 29, -4*q + 4*n + 10 = 2*n. Let y = -14464 - -14504. Calculate the least common multiple of y and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 - -2 - (2 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -26 + 28*i + 29*i + 11*i + 217*i**2 - 220*i**2. Is 5 a factor of x(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2359 = -7*t + 3*t, u - 476 = -5*t. What is the units digit of u + (4 - (-3 - -11))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5 = 0, 8*p + 5*y - 35 = 5*p. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = 4. Let r(g) = -4*g + 1. Give r(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2 - 145*x + 500 = 0.\nAnswer: 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 5*c**2 + 5*c + 2. Let b be h(-2). Differentiate 67*o**4 + 72 - 98*o**4 + 54*o**b wrt o.\nAnswer: 92*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -34*w + 310. Give m(10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-10)*40\/16. Let i = 1 + g. Differentiate -1 + 3 + 4*p**2 + i wrt p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmc when three letters picked without replacement from {m: 2, j: 3, c: 1, y: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 1. Let p be 3\/6 + (-9)\/(-2). Let s(a) be the first derivative of -3*a**2\/2 - 2*a + 13. Calculate p*v(r) - 2*s(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33267750 is divided by 114?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + (11 - -15) + -4 + -3 + -26?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10 = -0*a. Suppose -a*n + 15 = -n. What is the greatest common factor of 30 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 + 0.9. Suppose d - 3*d + 4 = 0. Let y = 60.5 + -61. What is the nearest to d in s, y, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from aamim.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 + 14 + 103 + 37 + 6*p**2 + 33.\nAnswer: -15*p**2 + 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6228 + 7720. What is the lowest common multiple of 16 and c?\nAnswer: 5968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(1728)*-4 + sqrt(1728))**2.\nAnswer: 209083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 29622889.\nAnswer: 6\/29622889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 65c5e (base 16) in base 5?\nAnswer: 101314422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4 + 0*l**2 + 13*l - l**3 + 4*l**2 - 6. Let r(s) = s**3 - 3*s + 4. Let y be r(2). Let n be i(y). Solve 5*g + n*c + 40 = 0, c - 6*c = 4*g + 41 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2946948 not equal to -2946953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/17)\/((-5 + 1)\/28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4*u - 5. Let i(d) = -d**2 - 5*d + 6. Let f(r) = 2*i(r) + 3*y(r). Calculate f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-328)\/12*((-30)\/(-1))\/(-2). Suppose -4*x = -350 - t. Calculate the highest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30124?\nAnswer: 2, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**3 + p**3 - 2*p**3)*(-276*p - 18737 + 18737) in the form y*p**4 + z + t*p**2 + q*p + o*p**3 and give y.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 8*b - 3. Calculate m(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((10\/6)\/(-5)). Suppose 2*j = -24 + 44. Solve 2*o = m*g + j, g + 4*o - 12 = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 6*f**2 + 6*f - 7. Let t be p(-7). Suppose -2*q - q = t. Differentiate -2*h**4 + q + 3*h**4 - 2 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -39, -70, -119, -192, -295?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -7*z**5 - 107*z**4 - 240*z**3 + 500*z**2 + 832*z + 192 = 0.\nAnswer: -12, -4, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*r - 62, -2*r = 2*v - 18 - 6. Solve v*j = 15*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6089 divided by -125\nAnswer: 6089\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 176*j**3 + 3*j**2 - 6*j + 2. Let a(h) = 178*h**3 + 2*h**2 - 4*h + 3. What is 3*a(t) - 2*s(t)?\nAnswer: 182*t**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/15*855\/60*-4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.362 * 0.16.\nAnswer: -0.05792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k - 8*k - 6*k + 38 - 3*k to the form r + b*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31280007 and 1476?\nAnswer: 375360084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m + 3*m - 12*m. Let y(s) = s**2. Give u(y(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**6\/40 - r**5\/20 - r**2\/2 + 4*r. Let w(o) be the first derivative of g(o). Factor w(x).\nAnswer: -3*x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -34, 0.2, -0.4?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 18. Calculate i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/2712 and -179\/1140.\nAnswer: 257640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 110. Let j be (-2)\/(-7) + (-86)\/7. Is (a\/(-4))\/(3\/j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 12:25 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44\/27? (a) -5 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 294*f**2 + 2956*f + 168. Give w(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 - -56. What are the prime factors of s?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673605253?\nAnswer: 19, 88084487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxbbxx. Give prob of sequence bxxb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173060821.1 rounded to the nearest 1000000?\nAnswer: 173000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 4:10 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 176*p = -2615 - 1975 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1617605*n = -1617566*n - 1365 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 + 4*m + 3. Let l be i(-2). Suppose 2*o - 3*k - 10 + 3 = 0, 3*o = 3*k + l. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46711*m**4*r - 2*m**4 - 14263*r + 3 wrt m.\nAnswer: 186844*m**3*r - 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 57*h. Let t(r) be the second derivative of -r**3\/3 + 570*r. Calculate t(b(i)).\nAnswer: 2*i**2 - 114*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349.212*-19.\nAnswer: -6635.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5633140 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 - 6*w + 2*w**2 + 5*w**2. Let f be g(5). What is the lowest common multiple of f*1*(-1)\/(-2) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 0*i)*(-6 + 6 - 3*i)*(-19*i**3 - 33*i**3 + 27*i**3).\nAnswer: -300*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.39438ug to tonnes.\nAnswer: 0.00000000002939438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4103 (base 6) in base 11?\nAnswer: -751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 33, 56, 85, 120, 161?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 - 3*g - 29. Let i(k) = k**2 + k + 10. Let m(n) = -17*i(n) - 6*u(n). What is the units digit of m(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-28)*((-8)\/21)\/((-46080)\/141120)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 + (-1470)\/(-54). Let s = d + -22. Solve 13 = -4*z + 5*x - 32, 35 = -s*z + 2*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {h: 4, p: 1, c: 2, e: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*r + 5270 + 5462 = 2573. What is the remainder when (-2)\/8 - 1282\/(-8) is divided by r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-71)\/((-11928)\/(-1518)) - -9\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 4305728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*q + 56, -2*q + 4*n = -q - 32. Suppose -z = 3*r + q, 2*z + 31 = 3*r - 8. What is the units digit of (7\/z)\/(2\/(-90))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1)\/2 - 2640\/2856. Let a = 5997\/952 + h. What is the common denominator of a and -79\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2771286399 to the nearest integer?\nAnswer: 52643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 3.1 (b) -0.1 (c) 11 (d) 1.19 (e) -3\/2 (f) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45046, -90119, -135192, -180265, -225338?\nAnswer: -270411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*w + 5*k, -3*w + 4 - 5 = -k. Calculate the lowest common multiple of 57 and ((-408)\/32*w)\/((-1)\/(-2)).\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -2 - (2 + 2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*p, 2*w + w = -2*p - 6. Suppose 46*x - 49*x + 1983 = w. Suppose -2*h + x = 5*s, 597 = 5*s + 3*h - 67. List the prime factors of s.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/40*156\/546*-1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -763, -3061, -6879, -12205, -19027?\nAnswer: -27333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = 0, -g + 15 - 5 = -3*i. Let w be (8 + g)*(-3)\/(-6). Suppose 75 + 40 = 5*u + 5*s, -w*s = -9. Solve 2*d - 6*d + u = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11620*j**5 - 12416*j**4 + 283828608*j**2 wrt j?\nAnswer: -697200*j**2 - 297984*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -3. Solve 0*y + o = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2321 (base 6) to base 9\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i - 116 = 72. Solve i*j - 18*j + 70 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/2*12\/7. Let q = 145 + -141. Is q bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 1190 = 12*c. Let m be 2\/(-4) - (-115)\/c. Is m at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*f**5 - 1455*f**4 + 7535*f**3 - 2790*f**2 - 29500*f + 34440 = 0. Calculate f.\nAnswer: -41, -2, 2, 21\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 30736427.239 to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3671 - 3?\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 7*n**2 + 9*n + 5. Suppose 0*d - 24 = -3*d. Let w be o(d). Calculate the highest common divisor of 65 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a + 4. Let r(z) = -36*z - 21. Let w(m) = 21*b(m) + 4*r(m). Suppose t - 4*d = -0*d + 17, 3*d = -t + 31. Let h(q) = q + t - 25. What is w(h(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -48. Suppose 2*r - 4*r - 18 = -5*h, 5*h - 4*r = 16. Solve w = 5*k + h*t + 2, 4*k + 3*t = 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14472 (base 8) to base 6\nAnswer: -45522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13023 = 3*m - 1686, -5*z + 18890 = -5*m. What are the prime factors of (10\/(-25))\/(5\/m)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607 times -0.4?\nAnswer: 642.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/2, -1, 0.4, 2\/595?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -8 (b) -9 (c) -1 (d) -15 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -528*f + 4232. Determine w(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123951, 247992, 372045, 496116, 620211?\nAnswer: 744336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 2*d**2 - d + 2. Let k be c(2). Let a be (-1)\/4 + (-300)\/k. Let p = 21 + a. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21637 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t + 0 + 0*t**3 + 1\/24*t**4 - 8*t**2 + 13\/120*t**5. Factor l(y).\nAnswer: y*(13*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 65*q + 9. List the prime factors of s(2).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184 - -189. Which is the closest to -1? (a) 2 (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8440 - 8436. Let o(l) be the first derivative of 0*l**a + 27\/5*l**5 + 0*l**2 - 15 + 0*l**3 - 12*l. Differentiate o(b) wrt b.\nAnswer: 108*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87 and -2472845.\nAnswer: 215137515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -9 - ((2 - 3) + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 6*j**2 + 15*j - 17. Let b be c(2). Solve -4*q + o - 1 = -q, 2*q + 5*o - b = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 82 and 11.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 m when four letters picked without replacement from {h: 2, m: 16}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {x: 3, h: 3, b: 3, m: 2, d: 7}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -303.\nAnswer: -21.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y - 1 - 4 + 1. Let r(a) = -8 - a - a + 17. Let m be (-7*(-13)\/(-455))\/(1\/(-20)). Give m*r(v) + 9*t(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**5 - 97*i + 193*i - 93*i + (4*i**2 - 12*i**2 + 4*i**2)*(i**3 - 2*i**3 + 0*i**3).\nAnswer: 10*i**5 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683 is divided by 885.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 10223996\nAnswer: -20447992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2002?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -86 and 0.009.\nAnswer: -85.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 29*m - 21 + 41.\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccl when four letters picked without replacement from {l: 1, c: 4, z: 7, n: 2, o: 1, r: 3}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*w - 5*w. Let j(k) = -1 - 2*k - 2*k**2 + k**3 - 5*k + 4 + 3. Let x be j(6). Calculate the greatest common factor of w and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491 = 6*o - 245. Let f = 42 + o. Which is the nearest to -3\/5? (a) f (b) 1\/3 (c) 0 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**2 + 4*m - 5. Give k(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452197?\nAnswer: 29, 31, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 10:33 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (2 + (-31 - 3)). Suppose -35*p = -i*p + 10. Suppose 0*s + 9*s = 720. Calculate the greatest common divisor of s and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6631 = -5*x - 0*g, x + 4*g - 1339 = 0. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41260*g + 41259*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55258 + 94318. Suppose -27*o - 33*o = -d. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*f - 74, 10 + 41 = 4*t - 5*f. Let x = -43 - -68. What is the remainder when x is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/135 and 41\/345.\nAnswer: 3105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11454988 and 3260.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*j - 5*j. Let p be ((-16)\/6)\/((-2)\/3). Let f = 7 - p. Calculate the remainder when j is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4645 to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2115210 (base 7) to base 6\nAnswer: -5254410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -21. Suppose 3*j - 3*a = -7*a + 23, -5*j + 29 = 2*a. Find the third derivative of 4*l**2 - 2*l**4 - j*l**2 + l**y wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106432049 is divided by 80205?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from jqexqqemkmqxmm.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.3264603*5.\nAnswer: 26.6323015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67, -115, -163?\n\"Answer: -48*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(-9) + (-30 - 266\/(-9)). Solve 0 = b - 4*m + 11, 2*b + w = -3*b + 2*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:38 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 22*a + 49. Let j be x(-22). Suppose 0 = 4*o - 2 - 6. Factor 100 - 27*m**2 + 31*m**o + 9*m - j*m.\nAnswer: 4*(m - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p + 1. Suppose 0*w - 11 = -w. Is r(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 27*s**2 - s + 3. Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)*z*z**(-1\/9) assuming z is positive.\nAnswer: z**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4851 and 13464.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/20160 + t**6\/360 + t**5\/20 + t**2. Let j(o) be the third derivative of b(o). Find the first derivative of j(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 32 = -10*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 10) to base 2.\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/11*(-2)\/32)\/((-14)\/(-8))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 11. Let g be c(0). Let o = 8 + g. Let s be o + 7 - 3 - 2. Which is bigger: s or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -17*g**3 + g**2 - g - 1. Let r(o) = o**3 - 6*o**2 - 9*o + 5. Let m be r(7). What is the smallest common multiple of ((-12)\/4)\/(m\/6) and j(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = 3, 5*y + 3*l = 0. Suppose 0 = y*d - 8*d + 315. Calculate the highest common factor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2229160 to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38760528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytqay. Give prob of picking 1 a, 1 t, 1 y, and 1 q.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 12*c - 8*c = 412, -1671*c = -2*a - 1633*c + 766 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 5*j + 3. Let l(z) = -1. Let k(t) = -c(t) + l(t). Let d be k(-3). Find the second derivative of p + 0*p**4 - 2*p**4 - d*p wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**40\/l**(38\/5))**(5\/13) assuming l is positive.\nAnswer: l**(162\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.0781391\nAnswer: -0.03125564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 3 - 3 + (-2*q - 2*q + 3*q)*(2 - 2 + 5*q) + 4*q**2 - 2*q + 2*q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.1475?\nAnswer: 0.01475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -5 (c) 1\/3 (d) 97 (e) 3\/4 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 180638736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 144656789 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6, 7*w - 4*w + 4*n = 33. Suppose 5*k - 6*d - 2 = -w*d, 2*k - 4*d = -8. Is k equal to -6\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/44436 and 5\/22218.\nAnswer: 44436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82496.8787 rounded to the nearest 100?\nAnswer: 82500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1871848 and 33286?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 161 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -31*j + 34. Suppose -49*q + 39*q = 70. Is a(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-27))\/(4\/(-8)). Is p smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*h + 1407, -4*h - 6*s = -2*s - 1412. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 32*m**2 - 52*m + 24.\nAnswer: -4*(m - 6)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 821131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**3*n**5 + 20*b**3*n**2 - b**3 + 104*b**2*n**2 + 11989*b*n**5 wrt n?\nAnswer: -360*b**3*n**2 + 719340*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24643 (base 7) in base 13?\nAnswer: 2c5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -141, -217, -283, -333, -361, -361, -327?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11667 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 53 = y + 45, 2*y - 13 = t. Put -4, y, 4, -102 in descending order.\nAnswer: y, 4, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*-5588192.\nAnswer: 782346.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 20*j - 20. Let u be x(-14). Suppose m + 5*o - 37 = 0, m = 6*m - 5*o - 245. Let g = 79 - m. Calculate the highest common divisor of u and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104, -548, -1288, -2324, -3656, -5284?\n\"Answer: -148*i**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c + 224 + 71 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/21*(-6)\/(-147).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2148.748, -2\/15, 0.3, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 1 (c) -1\/163945 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0 + 0)*(10*z**2 + 3*z**2 + 24*z**2).\nAnswer: 74*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 1568*a**2 + 1569*a**2 - a + 10)*(-a**3 - 3*a**3 + 2*a**3).\nAnswer: -2*a**5 + 2*a**4 - 42*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -114, -5, -40, 0.5 in ascending order.\nAnswer: -114, -40, -5, -2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.10103 + -0.19897. Which is the closest to 0? (a) -95 (b) 3\/5 (c) 1\/47 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57505117517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*i + 12, z + 1 = 5. Suppose 2*c - 10 + 0 = i. What is the third derivative of -b**c - 4*b**2 - 7*b**5 - b**5 wrt b?\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 641095 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25060539?\nAnswer: 3, 7, 971, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362, -1444, -3248, -5774, -9022, -12992, -17684?\nAnswer: -23098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 1507?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5\/2 - 309*h**4 - 9990*h**3 + 638799*h**2 - 4825569*h\/2 + 1784286 = 0 for h.\nAnswer: -119, 1, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (888\/814)\/((50\/(-55))\/(-5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198907 (base 15) to base 4.\nAnswer: 10233232000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 5999226*h - 2999226049923.\nAnswer: -3*(h + 999871)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 5*d + 49, 0 = 8044*s - 8040*s + 11*d - 76 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110012212 + 102?\nAnswer: -110012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-4 - 2)) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 10*w**3\/3 + 3*w**2\/2 - 19. Solve s(n) = 0 for n.\nAnswer: -3\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/5)\/k**(-2))\/((k**(2\/53)*k)\/k**(-1\/28)) assuming k is positive.\nAnswer: k**(-2029\/7420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 1032\/84 + 360\/210)\/(-2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -46 - 22. Let x = f - 5. Solve m + 3*m = -x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37169.\nAnswer: 11, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s = -23*s - 8. Let w(p) = -s + 2 - 2*p - p**2 + 2 + 3. Give w(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12052688 divided by 18373.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f + 30. Let u(q) = -3*q - 6. Suppose 5*i + 4*s = -121, i + 8*s = 3*s - 41. Let j(k) = i*u(k) - 4*h(k). Calculate j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (4 + -6)) + 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u + 3. Let b(n) = 10*n - 10. Let p(y) = 4*b(y) + 11*x(y). Let a(m) = -5*m + 7. Let f(c) = -4*a(c) - 3*p(c). What is f(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 10*p**2 + 11*p - 2. Let h be -1 + 9\/6 + 42\/4. Let q be v(h). Let g be (-6)\/(-2 + 0 + 1). Is q at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p. Solve 35 = 3*j - 4*m, p = -5*j - 3*m - 0*m + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-47)*((u*u**2)\/u)\/(u*((u*u**(2\/9))\/u)\/u))\/((u**(-4))**15)**(-17) assuming u is positive.\nAnswer: u**(-8741\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*u + u - 2*u + 0*u + (1 - 6 + 3)*(3*u - 3*u - 2*u))*(u - 2*u**2 - u).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18294147.\nAnswer: 3, 677561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5289*o + 4902907. Calculate h(927).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4434639 divided by 72699?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**3*x**6 + 32*f**3*x**3 - 4*f**3*x - 6*f*x**2 + 3 wrt x?\nAnswer: -840*f**3*x**3 + 192*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (65\/((-24375)\/(-50)))\/((-3)\/(-30)*3)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4976)\/(-933) + (-52)\/9 + (-2)\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3423 + -1505233?\nAnswer: -1501410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-3)\/6 - (-39)\/(-78). Let j(u) = -3*u + 16. Let q be j(8). Let h be (-27)\/48*q\/(-4). Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 337, 727, 1117?\n\"Answer: 390*i - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 49. Suppose -14*j = -9*j - p. Suppose j*z = 5*z - 96. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-147)\/(-1080)) + (-16)\/(-28). Suppose 0 = r + 4*t - t - 4, t = 5*r - j. What is the highest common divisor of r and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252921 and 168614?\nAnswer: 505842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 3 = -3*d - 25*l, -2 = 2*d + 3*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19401 or -19403?\nAnswer: -19401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 80*z - 812. Let c be n(13). Put -1, 8, c in ascending order.\nAnswer: c, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1448, 5084, 11158, 19670, 30620, 44008?\nAnswer: 59834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0)**(17\/2)\/(b**(2\/17)*b*(b\/(b*b*b\/(b*b**(1\/12))*b))\/b) assuming b is positive.\nAnswer: b**(2101\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5 + 120*q**4 - 800*q**3 + 2010*q**2 - 2075*q + 750 = 0. Calculate q.\nAnswer: 1, 2, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/2 of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.32 - 0.02. Let y = -2.11 - -1.998. Let d = -1.012 - y. What is the closest to d in -4, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/5)\/((-21)\/(-70))*(51\/17)\/27?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = -g + 178. Let t be 1\/(-3) - g\/(-45). Suppose 6*n - 2*n + t = u, -2*u - n + 1 = 0. Calculate the lowest common multiple of u and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 80. Let p = -3 - -3. Let s be v(p). Round s to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 + 456. Find the third derivative of -13*z**5 - 578*z - z**3 + 76*z**2 + a*z - 7*z**5 wrt z.\nAnswer: -1200*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, k: 2, p: 3, y: 3}. What is prob of picking 4 o?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:06 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016242365 rounded to 6 decimal places?\nAnswer: 0.001624","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 3829 - 3833. What is the third smallest value in -0.14, 0.3, l, 1\/10, 4\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 782 divide 59353200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 = 14*k + 174 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -12878398 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-10) + (-3)\/((-129492)\/(-81538)). Let r = 33\/218 - p. Is 1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 206, 382, 592, 848, 1162, 1546, 2012?\nAnswer: 2572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 13*l - 1270. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2281285 or 2281201?\nAnswer: 2281285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 123*x - 748. Let c be f(6). Solve -3*u + 29*u = c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 742.3?\nAnswer: 718.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 61. Suppose -205*a + 209*a = -j + 122, 3*a = -3*j + 357. Calculate the remainder when j is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + 6*(-4 + sqrt(243)*-5 - (sqrt(243)*1 - sqrt(243))*4))**2 + 0.\nAnswer: 13500*sqrt(3) + 219329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56118521 equal to 56118520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -17. Suppose c = 4*x + 4. List the prime factors of -2 - 2\/x - -22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1552 divide 649598912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtnvdvvfxvxd. Give prob of picking 1 f, 1 n, and 1 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 59 + 200*d)*(3*d**2 - 5*d**2 + 3*d**2).\nAnswer: 200*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ncczzjxkxzckcz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 + 17538*n - 17540*n - 2*n**4 + 3*n**2 to z*n + c*n**2 + g*n**4 + p*n**3 + a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/3 + 872668*n\/3 + 3490768 = 0.\nAnswer: -12, 436346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**9\/7560 + g**8\/1400 + g**7\/700 + g**6\/900 + 11*g**3\/3 + 8*g. Let m(z) be the second derivative of r(z). Factor m(v).\nAnswer: 2*v**2*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 11*n + 13 - n - 4 as s*n + i and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 3*k**3 + 0*k)*(5*k - 4*k + 3*k + (22 + 7*k - 22)*(-13 - 8 - 5)) in the form x*k + d*k**3 + z*k**2 + l*k**4 + s and give l.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -97.1 + 97. Which is the third biggest value? (a) -5 (b) h (c) 3\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2600190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (14 - -29) + -15 - 7 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17072*v = -17070*v - 4. Solve -v*m = f + 1 - 13, -f - 5*m + 27 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - (-512 - -406 - (-34 + 0)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/(-30) - 18\/(-15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -17*h**2 - 5. Let y(l) = -8*l. Calculate y(d(i)).\nAnswer: 136*i**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-10\/3))**(-11)*x*x**(1\/24)*x*x*x\/((x*(x\/(x\/x**(3\/17)))\/x)\/x)*x)**(13\/6) assuming x is positive.\nAnswer: x**(-24635\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9208867 and 11755.\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*j**2*v**2 + 525768*j*v**2 + 5859*v**2 + 221 wrt j.\nAnswer: 66*j*v**2 + 525768*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -76*c**2 - 3124*c + 115. Determine z(-42).\nAnswer: -2741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56401 - -56461. Let w = 695 + -305. Calculate the highest common divisor of v and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 13*v - 11. Let j(l) = -l**2 - l - 1. Let z(d) = -4*j(d) + u(d). Determine z(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 6:23 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6968, -13963, -20952, -27941, -34936, -41943, -48968, -56017?\n\"Answer: -l**3 + 9*l**2 - 7015*l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let l be 9*(-1)\/1 - (0 + -2). Let n(a) = -14*a + 7. Let q(b) = -b - 1. Let j(v) = l*q(v) - n(v). Determine w(j(i)).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/16*-2*-1*-14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b + 27 = -171*b - 1329 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47339244 is divided by 1213826.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l = 72*l + 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -4*z**5\/5 + 7*z**4 - 20*z**3 + 18*z**2 + 964. Factor h(d).\nAnswer: -4*d*(d - 3)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -517.99299 + 518. Round f to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135115\/4 + -33760. Solve -l - 3\/4*i**2 - 15\/2*i = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65268 is divided by 242.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqzqzzzz. Give prob of sequence zqqz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -13. Suppose m = -i + 4*i. Let p(t) = -t + 8. Let w be p(6). Which is the nearest to 0? (a) -3\/8 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -12. Solve -a - d + 6 = 0, -3*a - 10 = -w*a + 5*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/255)\/(3\/(-5))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5978880.3 + 5981177.34692. Let z = 2297 - g. Round z to 3 dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001548283732 to 7 decimal places.\nAnswer: 0.0015483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(2\/(-1))\/(-1). Suppose 25 = b*r + r. Suppose -270 = 5*m + r*c, -3*m - 187 = 2*c - 4*c. Round m to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - 64. Suppose 0*a - y*a = r - 248, -2*a - 1206 = -5*r. What is the greatest common factor of r and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 + 2*j. Let n be g(2). Let h(t) be the first derivative of 0*t**2 + 1 + 1\/12*t**4 - 1\/9*t**3 + n*t. Factor h(s).\nAnswer: s**2*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 264 = -14*k. Suppose k - 123 = -3*h + 2*a, 4*h - 134 = 3*a. List the prime factors of 4333\/h + 2\/10.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 40*o - 49*o + 11102 = 0 for o.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 60*n**2 - 320*n - 234. Calculate k(54).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + (-7 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 + -15. List the prime factors of g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuffutxxxhxuxxuthxu. Give prob of sequence hx.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4 + 10*t**3 + 191*t**2 + 180*t = 0. Calculate t.\nAnswer: -9, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7580414 to the nearest integer?\nAnswer: 2753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-8))\/(6\/8))\/(2679115\/94557).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 769 and 250888557.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10496151?\nAnswer: 3, 19, 61381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 564437\/2769 - -1\/213. Let l = s + -204. Let g = -0.12 + -3.88. Which is the nearest to -1? (a) l (b) g (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((0 + (sqrt(17) - sqrt(272)))**2 - sqrt(17)) + (sqrt(17) + 2)*4).\nAnswer: -322 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -216.8 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 78273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4351 minus 11.1?\nAnswer: -0.6649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*2 + -17. Let t = p + 24. Suppose 0 = -t*u + u + 115. What is the greatest common factor of u and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*4\/66 - (-123)\/11. Suppose 4*n - 2*n + y = 0, 4*n = -3*y. Suppose 3*m - 54 = -3*a, 3*m - 17 + 2 = n. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39476175.88 to the nearest one hundred thousand.\nAnswer: -39500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-400)\/32)\/(5\/(-2)))\/(-3)*-3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191384 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/378 and 68\/729.\nAnswer: 10206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*y, 5*g - y - 14 = -0*y. Suppose -v - g = -2*v. Let m be v + 1 - (2 - 1). Solve 6*p + 17 = p - 3*t, 0 = 4*p - m*t - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y. Let a(x) = -376*x. Calculate a(w(z)).\nAnswer: -1128*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.796153 kilograms in grams?\nAnswer: 796.153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -13*d + 0*d - 9*d. Let a(n) be the second derivative of n**3\/3 - 3722*n. What is k(a(t))?\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 78*n + 72. What is s(25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204 divided by -1.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59149 is divided by 2858.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 15 = -5*a, 23*p - a - 3 = 26*p. Let r(f) be the second derivative of 0 + 1\/6*f**3 + p*f**2 + 5*f. Give r(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37812 is divided by 81?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 times 3406807\nAnswer: 10561101.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2366613*z**3 - 2112101*z**2?\nAnswer: 14199678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-14 + 5 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndld when four letters picked without replacement from nlllnlnnnlnnnlddll.\nAnswer: 4\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q. Let b(m) = 31*m**2 - 82*m**2 + 130*m**2 + 147*m**2. What is b(s(d))?\nAnswer: 226*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3 (b) -3\/7 (c) 2\/15 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - j - 13 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 400 + 96. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Factor 0*y**c - 5*y**3 + 5*y**2 + y**2 + 2*y**3.\nAnswer: -3*y**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13248 and 36.\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424589?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003068 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -8, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 2 - 24\/(-12). What is the second derivative of -7*h - 7*h**4 - z*h - 4*h + 3*h wrt h?\nAnswer: -84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-13 + (-3 - -8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1403269 and 1?\nAnswer: 1403269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -9*v + 1. Let f(h) = 41*h - 19. Let k(b) = -1. Let x(o) = v*f(o) - 3*k(o). What is the derivative of x(r) wrt r?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0432 and 0.77.\nAnswer: 0.8132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7462 divided by -145.\nAnswer: 7462\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b = 74*b - 9*b - 259 + 1549 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*d = 306380, 3*d = -4*b - 2*d - 306375. What is b rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/4 - 70*x. Let z(c) = 191*c**2. Give n(z(o)).\nAnswer: -109443*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from hhaaqaahaaaahq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -430*w - 2284*w**3 + 5*w**2 - 10818611 + 10818611 wrt w?\nAnswer: -13704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1905652 and 16380.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.68891 rounded to 0 dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1 + sqrt(110))\/sqrt(5))\/(sqrt(2) + 1*sqrt(200)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3209981*l**3 + 6177*l**2 + 6177. Let o(i) = -4158*i**3 + 8*i**2 + 8. What is 8*g(c) - 6177*o(c)?\nAnswer: 4118*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - (-6 - -3)) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 75 = -4*l. Calculate the greatest common divisor of 3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 10226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-451 - -418) + (19 - -1) + 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 13*f**2 - 13*f - 8. Let n be c(-12). Let s(q) = 3*q + q + q - 6*q + n. Let p be s(2). Sort 3, p, 0 in descending order.\nAnswer: 3, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:47 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**4 + 4*z**4 - 2*z - 12*z**2 - 2*z**4 to the form f*z**4 + c*z + x*z**2 + q + k*z**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 13*r - 2. Let s(k) = 5*k**2 - 14*k - 1. Suppose -27*b - 96 = -15. Let i(l) = b*j(l) + 2*s(l). Determine i(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13522858 (base 10) to base 6.\nAnswer: -1201501454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 34 = 5*n, 3*n = 5*n + h - 15. List the prime factors of 1\/(-3)*-2637 + n.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/19 (b) -2 (c) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 8. Suppose -74*v - 675 = 35*v + 26*v. Which is the nearest to w? (a) v (b) 1\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -36*w + 32*w. Suppose -16*q = -19*q + w. Factor -43 - 34*j**4 - 152*j**2 - q*j**5 - 121*j - 100*j**3 + 9*j + 2*j**4 + 11.\nAnswer: -4*(j + 1)**2*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 409.6 and -4.\nAnswer: 405.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -359831514*j - 236246595?\nAnswer: -359831514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 128663 or 128792?\nAnswer: 128792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 860 + -46. What are the prime factors of o?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 30. What is g(21)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2910 and 12088140?\nAnswer: 12088140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1864 - -1869. Solve 2*n = -2*l - 20, -4*l - g*n - 55 = -10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35693 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13517 + 13532. Which is the second smallest value? (a) 1\/20 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.02821, -4, -2\/17, -5 in increasing order.\nAnswer: -5, -4, -2\/17, 0.02821, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48\/7*n + 0 + 1\/7*n**2 = 0.\nAnswer: 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5773 - -5789. What is the remainder when 3294 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - -0.36. Let s = 10.06 - w. Let r = s + -10.000041. Round r to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8888?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1)\/3 + (-9)\/54.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m**2 + 5*m + 5. Let g(c) = -6*c**2 + 2*c + 2. Let k(o) = -5*g(o) + 2*p(o). Let u(s) = 8*s**2. Determine u(k(y)).\nAnswer: 512*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3946754\/(-24514))\/(((-28)\/2)\/2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 5*g + 10. Let h be l(-6). List the prime factors of (h\/(-8))\/((-2)\/1828).\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132373665 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100000000001 - 1?\nAnswer: -11100000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 + -136615?\nAnswer: -140023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6518)\/(-4)*10\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 1. Let w be s(1). Suppose -4*i + 0*i - 35 = -3*v, w = -i - 5. Solve -3 = -v*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11\/3, 0.064 in decreasing order.\nAnswer: 0.064, -3, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5306358 rounded to 2 decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 301 and 319 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47630.999974489 - 47631. What is v rounded to 7 dps?\nAnswer: -0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3e (base 16) in base 10?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1413912353 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2607094.102 + -2610928. Let s = f - -3858. Let v = 24 - s. What is v rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**2 - 104*s - 35. Let p be c(-17). Which is greater: -2\/655 or p?\nAnswer: -2\/655","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + 4 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (128\/(-288))\/(2\/(-36)). Solve -i - 2*r + r = 3, 4*i = -2*r - g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2204, -4450, -6692, -8930?\nAnswer: -11164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*k**3 - 88*k**3 + 7*k**3 + 51*k**2 - 55*k**3 wrt k.\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -28284*f - 282750. Calculate p(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**10\/840 - l**6\/72 + 4*l**3\/3 - 23. Let r(p) be the third derivative of s(p). Find the third derivative of r(a) wrt a.\nAnswer: -720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/14 and 21\/(-96) + 1 + 2.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.1, 0.2, 2, 5 in descending order.\nAnswer: 5, 2, 0.2, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107653 (base 11) to base 16.\nAnswer: 29c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 34 - 18*q**3 - 27*q**3.\nAnswer: -45*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 2 - 2)*(-4 + 1 + 0) - 2*x + 2*x + 2*x + (0*x + 0*x - x)*(-2 + 2 + 2) to the form c*x + a and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -14 - -7) + (13 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 5. Let m(j) = -j**2 - 1. Let h(n) = -4*m(n) - z(n). Let i be h(4). Let x be i\/8 + (-2)\/16. Solve 2*u - x*p = 0, -6*u + 3*u = p - 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1791 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z + 5*r - 6 = 44*z, -4*r + 12 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, 352 in descending order.\nAnswer: 352, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1231*d**3 - 3*d**2 - 91*d + 8459837?\nAnswer: -3693*d**2 - 6*d - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(((-4)\/(-8))\/((-2)\/4)). Solve a = -0*o - o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 445.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*18\/135\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12477 is divided by 240.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}