diff --git "a/data/dm_maths/full_data_1/10699_11255.jsonl" "b/data/dm_maths/full_data_1/10699_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10699_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u(x) = -x**3 + 3*x**2 - 2*x - 2. Let m(o) = 3 + 2*o**2 - 2*o**3 - 4 - 3*o + 3*o**2 - 2. Calculate 6*m(b) - 10*u(b).\nAnswer: -2*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40247842 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-3)\/18*4)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 620798*y + 9311520.\nAnswer: 2*(y + 15)*(y + 310384)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 + (21 - -1))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(150\/(-70)) + (-1196)\/(-195)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**3))*p\/p**(2\/7)*p*(p\/(p*p**(-6)))\/p*p**(2\/19)\/p)**41 assuming p is positive.\nAnswer: p**(53546\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/(-16))\/((-27)\/(-24)*6\/9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 37*(1 - 0). Let h = o + 104\/3. Let z = -8 + 4. Sort 4\/3, h, z.\nAnswer: z, h, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18167573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 11*m - 18. Suppose -25 = -5*z, 8*c = 5*c - 4*z + 236. Calculate the least common multiple of m and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -88. Let f = p - -39. Is f greater than -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46954280?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -490.886 - -491. Let x = 20.9 + -20.699. Let l = j - x. Round l to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 j, and 2 i when four letters picked without replacement from bjjijjiiibji.\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4052 + 4054. Let s(q) be the first derivative of 0*q + 0*q**3 + 17\/6*q**6 - j*q**2 + 20 + 0*q**5 + 0*q**4. What is the second derivative of s(x) wrt x?\nAnswer: 340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {r: 2, v: 3, a: 3, t: 1, m: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b*m**3 - 41462*b*m**2 + 145035274*m**3 + 546*m**2 wrt m.\nAnswer: -18*b + 870211644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1431\/2 - 7147\/10. Let x = 13 + -12.7. What is the second smallest value in -2\/11, r, x, -7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2807310 divided by -5?\nAnswer: 561462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t = -34*t + 75*t + 196. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 6*i - 1. Give s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, -28, -51?\n\"Answer: -23*c + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 smaller than -1472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(-1365)*(-11)\/(396\/(-40))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 6 - 1178 + 1184.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eteejejjjeeejtejjje. Give prob of picking 2 j and 1 e.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35, 52, 35, -34, -173, -400, -733?\n\"Answer: -3*n**3 + n**2 + 35*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3969)*3)\/(sqrt(35)\/(-2*sqrt(5))) + (-2*(sqrt(7)*-2 + -4) - (5 + -2*(sqrt(7) + -1))).\nAnswer: -48*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/15 + -2 - -2. What is the nearest to -1\/3 in -5, d, -3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a26a57 (base 13) in base 8?\nAnswer: 16340444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*w + 28*w + 6*w + 37*w in the form r*w + s and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 2) + -6 + 7 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3384 and 1272.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8377 + -16753\/2. Let v(d) be the first derivative of -13 + d - w*d**2. Let m(z) = -3*z + 2. What is 4*m(g) - 7*v(g)?\nAnswer: -5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 times -115.31?\nAnswer: -26.5213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/7 + 3656*q**3\/7 - 1399484*q**2\/7 - 247975512*q\/7 - 9201003858\/7.\nAnswer: -2*(q - 983)**2*(q + 69)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, -363, -1918, -5041, -10278, -18175, -29278, -44133?\nAnswer: -63286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*z + 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652\/14 + 6\/14 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((4352\/96)\/68)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 2*x**2 - 1\/60*x**5 + 0*x + 0 - 1\/2*x**3 + 3\/8*x**4. What is the units digit of c(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/572 and -33\/104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*z - 6, x - 10 = 2*z - 0*z. Solve 0 = x*q + q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38 and 352668448459.\nAnswer: 352668448497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c54 + 120b?\nAnswer: -a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**25)**(-10)\/(u**35*u\/u**(7\/5)) assuming u is positive.\nAnswer: u**(-1423\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4593.4056 and 1.2.\nAnswer: -5512.08672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2588, 4578, 6582, 8606, 10656, 12738, 14858?\nAnswer: 17022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Which is the biggest value? (a) w (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 163 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2305 - 2303. Which is the closest to -2\/3? (a) r (b) 4 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6\/11 (b) 1779 (c) -1\/80 (d) 2\/17 (e) 4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1219, -1218, -1217, -1216, -1215?\n\"Answer: c - 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 4. Suppose 0 = 3*o - 2*n - 0*n - 12, o - 4 = 2*n. Let d be w(o). Let c = 13 - d. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*p**2 - 4*p - 43*p**2 + 4*p - 44*p**2.\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33228 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 16*o - 15. Let f be i(-17). Let d = -7 + 2. Let p = 4.9 + d. Which is the nearest to 0.1? (a) p (b) -1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a - 13*a + 2*a - 11*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4 - 12350*g**3 + 38923325*g**2 - 4885250500*g + 97996762500 = 0?\nAnswer: 25, 105, 6110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 1 j when three letters picked without replacement from sddjdjfdffffassaffa?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -33. Suppose 2*o = -o. Suppose -5*i - 4*j = -3, -3*i + 3*j + 11 + 7 = o. Calculate the highest common divisor of i and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -38298 and -268087\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 11:58 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/38 or -1313\/11?\nAnswer: -1313\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**7*x**11*x**4\/x*((x*x\/(x*(x**10*x)\/x))\/x)\/x assuming x is positive.\nAnswer: x**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 275190431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 18. Let i(y) = 1561795*y. Calculate i(z(h)).\nAnswer: 6247180*h + 28112310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 49, 47, 41, 31, 17, -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 18756*s**3\/7 + 37480*s**2\/7 + 18692*s\/7 - 32\/7 = 0.\nAnswer: -1, 8\/4689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:49 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11139694 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*r**3 + 49 - 49 + 5*r**2 wrt r?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 20 = -5*s. Let u = s + -1. Suppose 46 + 4 = u*h + 5*k, h + 5*k = 30. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 7*b**2 + 26*b - 14. What is the remainder when t(9) is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1244, 4897, 10956, 19421?\nAnswer: 30292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2*1060\/(-15). Let v = 179 + p. List the prime factors of v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2431.1 + 2431. What is the closest to -2 in r, 1, 2\/2817?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241 - 239. Let f = 158 - 94. Suppose f = j*y - 174. 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 seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-6)\/(-30)))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*t - 7*t - 10*t - 50 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*u = 7*w - 78*u + 19, w - 3*u = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 x when three letters picked without replacement from mxqxxqqqxxq?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*a + 97 - 69, 0 = -5*x + 2*a + 42. Solve 0 = 103*f - 98*f - x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 99\/7 + 11*588\/(-539). Suppose -f*k**2 + 0 + 18\/7*k + 3\/7*k**3 = 0. What is k?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**3\/3 + l**2 - 10*l - 1. Let m be r(7). Let c be (-4)\/10*m\/18. Let v(q) = 3*q**3 - q**2 + q - 1. Determine v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -159.9 (b) 2\/387 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1993*o + 14069. Determine z(7).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4155786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, d: 1, z: 11}. Give prob of picking 2 y.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/4 - 3*f**3 - 5*f**2\/2 - 10*f - 3. Let t be y(10). Let m = t + -23. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 331\/2924 or -9?\nAnswer: 331\/2924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8 + 2. Suppose 2*b + 1 = 3. Calculate the remainder when f is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10b (base 12) to base 4\nAnswer: -2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 4*m - 6*m)*(514 - 2*m**2 - 134 + 358 - 3*m).\nAnswer: -4*m**3 - 6*m**2 + 1476*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**5 + 6252*q**4 + 12482*q**3 - 43728*q**2 + 24992*q = 0.\nAnswer: -3124, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 151*t**2 + 79*t - 192. Give m(75).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/(-38) - ((-130)\/(-4) - 15)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + 33. What is the highest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1711 + 3?\nAnswer: -170b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3143156896.\nAnswer: 2, 11, 43, 207661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -39*i**2 - 18. Let k(c) = 11*c**2 + 5. Let z(m) = 18*k(m) + 5*w(m). Let u(h) = 3*h. What is u(z(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + 17.98. Let d = r - 12. Let c = d - 5. Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -133\/3. Let o = -8 + 3. What is the closest to -2 in -0.3, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3907 - 2197. Let v be (-2 + 0)*(1 + d\/(-4)). Let o = 549 - v. Round o to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxxxlvpplvww. What is prob of sequence pvwx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 less than 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 499.6154 and -1.37?\nAnswer: 500.9854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -75 smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*n - 4*n, 5*r + 5*n - 5 = 0. Solve -5*l + 13 = 5*k - 2, 8 = -r*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 21 = 0, -4*s - 36 = -5*p - 73 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let p be 81\/45 + (-8)\/10. Let g(w) = -8*w + 3. What is p*g(s) - 6*y(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7450 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -3. Which is the nearest to f? (a) -2 (b) 5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 91090*h**2 - 911275*h - 2278500.\nAnswer: 5*(h - 18228)*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -364, -1235, -2910, -5653, -9728, -15399, -22930?\nAnswer: -32585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 21. Let w(z) = -z. Let o(r) = n(r) + w(r). Let g be o(3). List the prime factors of 0 + ((-1784)\/(-20) - 3\/g).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*r - 12*r + 92*r = -3780 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 + -7.8. Let w = 0.04 + -0.44. Which is the biggest value? (a) v (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.4 (b) -2\/9 (c) -2 (d) -37 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 578353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 22. What is the highest common factor of f and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 take away 512?\nAnswer: -512.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 1, 27, 75, 151, 261?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p**2 + 59*p + 406. Does 173 divide y(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyuj when four letters picked without replacement from jyjudfuddjydjfujjfj?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.54 - -7.54. Put u, -12, 4 in ascending order.\nAnswer: -12, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**2 - 25*d - 26. Let a(z) = 50*z**2 + 175*z + 180. Suppose -12 = -60*y + 54*y. Let j(k) = y*a(k) + 15*s(k). Determine g, given that j(g) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 105*y + 100.\nAnswer: 5*(y - 20)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 12. Suppose -b - 3*b - z*t = -36, 4*b - 36 = t. Suppose -m + b = 3. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.8 and 0.04565.\nAnswer: -0.75435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 3*v**3 + 3*v**3 - v**3 - 7 in the form g*v + b + x*v**3 + o*v**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y + 326. Let a be z(54). Suppose 0 = 5*p - 0*p + 45. Put p, a, -4 in increasing order.\nAnswer: p, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v**(-3\/2)\/v))\/v)*v*v\/v**(-2\/39))**(26\/5))**(-3\/17) assuming v is positive.\nAnswer: v**(-43\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1991 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7158 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3 + 409*l - 20*l**3 - 427*l wrt l.\nAnswer: -108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -2112.\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -t - 2821, 5*t = l + 3*t - 2823. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 2397 + -2429 + (-1 - -20 - 3).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h + 13. Let z = 1604 + -1601. Determine m(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o - 2*o)*(-1 + 3 + 1) + 2 - 2 - 4*o + (-1 + 3 - 3)*(-o + 0*o + 2*o) + 2*o - 4*o + 3*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - f - 3*f**2 + f - 74*f + 66*f + f.\nAnswer: -3*f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(684) + 0).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 307734465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*a**2*t - 2*a**2 + a*t + 515902*a + 2471*t + 1058 wrt a?\nAnswer: 10*a*t - 4*a + t + 515902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**34)\/w**(1\/44)*(w**(-17))**42 assuming w is positive.\nAnswer: w**(-32869\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 183*o - 683. What is h(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 220?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3513 + 1170 + 1175 - 2*q**3 + q**3 + 1168.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 33*d - 18. Suppose 1 = -3*u - 53. Let y be l(u). Calculate the greatest common divisor of y and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + (-34 - (-46 + 33)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 120 = -4*x, -3*y + 4*y = x + 135. Let s = -82 + y. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 + 48 = -2*h. Let k = h - -102. Let z = k - -145. Does z = 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6039 = 4*k - 5*t - 21820, 3*k + 5*t - 11792 = 0. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2277620389300 + 0.068?\nAnswer: -2277620389299.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000661244 rounded to 6 dps?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + k = -6*o + 3121, -o + 777 = -3*k. Let a be o\/((0 - 1)\/5). What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + -3.99. Let f = 55.5 + -56.5. Let o = 33 - 38. Which is the smallest value? (a) o (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85 in 0.22, -0.4, 0.06, -8, 0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 16*i - 2. Let c(a) = 7*a - 1. Let q(r) = -7*c(r) + 3*u(r). Suppose 0 = -0*v - 3*v. Calculate q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4820 = -i, -r + 24100 = 3*i + 2*i. What is i rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 602112765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -16*t**3 + 14*t**2 + 14*t. Let n(a) = -a**3 + a**2 + a. Let b(i) = i**2 - 28. Let x be b(0). Determine x*n(o) + 2*s(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51307128 a multiple of 1432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -9457 and 21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3*(-14 + 251) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -31, -46, -63, -82, -103?\n\"Answer: -x**2 - 10*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120.87*0.11.\nAnswer: -13.2957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/4870394 and 109\/18.\nAnswer: 43833546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 31. Suppose -19 = 3*t - 10. Let x(p) = 2*p**3 + 6*p**2 + 5*p + 1. Let z be x(t). What is the tens digit of g(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 4604.02708525577 take away -0.3?\nAnswer: 4604.32708525577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -176?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*k**3*m + 82*k**2*m**2 + k*m**2 - 6986*m**2 wrt k?\nAnswer: -39*k**2*m + 164*k*m**2 + m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.144 and 38.1.\nAnswer: 37.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 26 + 109 = l, 0 = -4*z + 5*l + 180. Do 44 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -1. Let g = 5 + p. Suppose 3*v = 4*c + 4, 10 = v + g*v - c. What is the closest to -2\/11 in 0, -2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) - (2 + 339\/(-12)). Let j = p + -6. Solve -4*a = j, -2*o + 2*a = -3*o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*m - 4148 = -260*m + 5998 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 18*d. Let c(t) = 8*t + 681. Determine c(i(h)).\nAnswer: 144*h + 681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.44 - 66.44. Which is the closest to -0.08? (a) 0.3 (b) -60 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*j + n + 4, -4*j - 4*n = -8. Let y be (2 - j - -10)*250. Round y to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o**2 + 37*o - 23. Let l(n) = 7*n**2 - 38*n + 24. Let g(t) = -5*f(t) - 4*l(t). Let m be g(16). Solve -m*b + 5 + 1 = 5*x, -2*x = b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 249648*k = 2*w + 249649*k - 64, -320 = -5*w - 5*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -113, -106, -97, -86?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*(-2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4082211695?\nAnswer: 5, 23, 1847, 19219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.4 + -15.6. Let h = n - -21. Which is smaller: -2\/17 or h?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6760*q**4 - 21640*q wrt q.\nAnswer: 81120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494407, -494416, -494425?\nAnswer: -494434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 135 = -5. Suppose -2*c - 104 = -0*c. Let g = s - c. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438913425 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -648506165420.\nAnswer: -648506165421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*v - 19, 2*v - 3*p + 2 = 3. Suppose -12 - 18 = -v*z. Suppose -4*j + 12 = -2*j. What is the smallest common multiple of z and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -408 - -408. Suppose j = 8*l - 7*l - 9. Is l < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:34 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*g - g + 2*l, 3*g + 3*l = 15. Suppose g*u - 64 = u. Let t = u - 18. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*v = -v - 18, 3*u - 21 = -2*v. Suppose 5*x - 33 = 2. Let l(g) = g + 7*g + 2*g - 12*g + x. What is l(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2921 - -2917. Let w(u) = -u**2 + 3*u - 4. Let v(p) = -3*p + 3. Determine i*v(c) - 3*w(c).\nAnswer: 3*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 divided by -8?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -11, 0.6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**2\/d)\/d)\/d)**(-50)*(((d**(-3\/5)\/d*d)\/d)\/d*d)\/(d*d**4*d))\/((d**(-1)\/d)\/d**(3\/10))**7 assuming d is positive.\nAnswer: d**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8624 is divided by 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2538 and 3760.\nAnswer: 101520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.32 equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 316 - 238 = 4*s, 0 = -2*q + 3*s - 1097. Is (q\/175)\/((-2)\/112) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138447 times -290?\nAnswer: -40149630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 1 - 65. Suppose -4*f - 4*w = -224 - 48, 0 = 4*f - w - 292. What is the greatest common divisor of q and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940152 is divided by 6665?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71\/11? (a) -0.2 (b) -290\/317 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -26. Suppose k*r - 40 = -10. Let d(z) = z**3 - 7*z**2 + 3*z + 4. Give d(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 9*a - 5*a - 49 + 35 in the form m + h*a and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.988357 decades in years?\nAnswer: 49.88357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y - 2*y)*(150 - 49 - 53) + 1 - 4*y - 1.\nAnswer: -148*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107\/2 - -325\/6. Determine f, given that 0 - 8\/9*f**2 - 2\/9*f**3 - u*f = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31\/4, 4, -117, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94502.\nAnswer: 2, 47251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 24 = 8. Suppose -4*z = 4*b + 32, 4 = -2*b - b + 2*z. Let q be (1 + (-18)\/h)*b. Solve 0 = 4*d - q - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**1)\/(((x**10*x)\/x)\/x*x*x))\/(x*x\/(x*x**(-2\/23))*x*x**(-5)) assuming x is positive.\nAnswer: x**(-163\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - 2 - (29 + -28).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -10\/43, -4, -4090.\nAnswer: -4090, -4, -2\/3, -10\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1256)\/16*(-2 - 0 - 2). Suppose 322*l - 1584 = v*l. Calculate the highest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = x + 273. Let q be x\/(-10) - 21\/35. Calculate the highest common divisor of q and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*j - 5*j. Let w be ((-4)\/(-10))\/(4\/40). Suppose -p + l + 2 = 0, p - w*l + 0*l - 2 = 0. Solve -p*k = -3*m - 22, -k - j*m = -0*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 22385.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + 3 + sqrt(12) + (sqrt(36)\/((sqrt(132) - (sqrt(132) + sqrt(132)*3 - sqrt(132) - sqrt(132)) - sqrt(132))\/sqrt(11) - sqrt(12)))**2.\nAnswer: 10\/3 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c**3 - c. Let x be (4\/12)\/((-3)\/(-9)). What is the least common multiple of y(x) and 90\/8 + (-1)\/4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-20) + (-2)\/5. Let j = -4 - -7. Factor 3\/2*n**2 + 0*n - 2 + t*n**j.\nAnswer: (n - 1)*(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28806, -3, -5 in descending order.\nAnswer: -3, -5, -28806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 140.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -185, -0.1, -2, 1\/7, 2\/115?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**3 - 7*t**3 + 15*t**3 + 2961*t**2.\nAnswer: -2*t**3 + 2961*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 537.53742 minutes?\nAnswer: 0.053327125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73937 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 2*l. Let o be q(-2). Let j be (o\/(-5))\/(6\/(-20)). What are the prime factors of (-4)\/(-16) - (-38)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18, -1, -1\/61?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -0.1, -3, 3, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 14*c - 11. Calculate b(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14521348 - -14521279.99943. Let u = -58 + -10. Let r = u - c. What is r rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9963978?\nAnswer: 2, 3, 1660663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 1, 7354 in descending order.\nAnswer: 7354, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 10*k + 5. Determine y(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/3 + 5. Let l = j + -1. Calculate the highest common factor of l and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 204 + 2604 = 0. Calculate the highest common factor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4 (b) 44.9 (c) 1\/4 (d) 2\/9 (e) 2\/15 (f) 3\/4 (g) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -229?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -442 in ascending order.\nAnswer: -442, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 10*v + 14. Let s be i(-6). Suppose -n + s - 9 = 0. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.165 + 0.075. Let z = 3.76 + g. Which is the fourth smallest value? (a) -3 (b) z (c) 2\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1267 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/6)\/(((-3)\/(-16))\/(((-196)\/28)\/14)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 14*s + 21. Let w be h(-5). Is 12\/73 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 45\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2489708.7 milliseconds to hours.\nAnswer: 0.69158575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -5914\/23 and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + 1 + -5 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjjjjijijijjjijji. Give prob of picking 3 j and 1 i.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.129 + 2.191. Let l = s + -2.31778. What is l rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in -5, 126, 8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -79 - -3?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 715 + 713 + 723 - 1421*l - 2149 as z*l + s and give z.\nAnswer: -1421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -40*a**2 - 2*a. Let v(m) be the first derivative of 2*m**3\/3 + 58. Give v(j(g)).\nAnswer: 3200*g**4 + 320*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-666)\/27 - (-19 - 201\/(-9))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2043150840 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q - 36*q + 54 = 4*z, 5*z - 280 = 15*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -6. Let h = b + 7. Let j = 19 - 14. What is the biggest value in 3\/2, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14421 divided by 627.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -19379 + 2480*j + 19379 + 449*j in the form n*j + y and give n.\nAnswer: 2929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -247\/4. Let g = -146717 - -2199962\/15. Let o = g - -155\/3. Which is the nearest to 0? (a) 1 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5556851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - 15*d - 6. Let k(p) = -p**2 + p + 1. Let s(c) = j(c) + 3*k(c). Let h be -1*(-45)\/(-20)*200\/(-30). Let o be s(h). Round o to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*u - q, -2*u = q - 46 + 12. Suppose -3*g - 5 = 1. What is the remainder when u is divided by 27\/(-6)*g + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence et when two letters picked without replacement from {e: 2, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -726\/170611, -1, 1 in increasing order.\nAnswer: -1, -0.4, -726\/170611, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369047 is divided by 115?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -7*s - 132 + 264 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13aa31 - -22?\nAnswer: 13aa53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*n**2 - 25*n**2 + 145*n**2 - 50*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.00473 - 9935.3738?\nAnswer: -9909.36907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298170\/215 - ((-2)\/(-8) - 9\/(-12))?\nAnswer: 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 = 5. Suppose 3*i - c*i - 3*t = -6300012, -3*i - 2*t = -6300008. Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2 + 34611*w + 693420 = 0.\nAnswer: -20, 11557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18096 and 0.3?\nAnswer: 18096.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90893*a + 52370*a - 229115*a.\nAnswer: -267638*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z - 5*z**2 + 5*z**2 + 5*z**2 + 1. Let b = 3 + -2. Give l(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + (sqrt(52) + sqrt(156)\/sqrt(3))*-5 + sqrt(52) + sqrt(52))\/(sqrt(12)\/(sqrt(9)\/sqrt(3))).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -106, -66, -1, 0.5?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 - (-23 - (-16 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-3))\/(-19 - 1344\/(-72)) + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-10 - -3) + 6 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 21 = 71. What is the remainder when 20 is divided by 16 - 5\/(k\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (114\/(-14) - 0)*(-1378216)\/73833.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2232, 2219, 2200, 2175?\nAnswer: 2144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 2 - (20 - 5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 + 15*o**2 - 20*o - 60 = 0. What is o?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/5))\/(p**3*p)*(p\/((p*p**(-2\/3))\/p*p*p))\/p*p*(p**(-13)*p)\/p*p assuming p is positive.\nAnswer: p**(-227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdmjjmkjjk. Give prob of picking 1 k and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038693145 to seven decimal places.\nAnswer: 0.0003869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10797556 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g - 4*a, -4*g + 5*a = -0*g + 5. Let l = 2051687\/20 - 102605. Let u = -81\/4 - l. Which is greater: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3.8478, -4\/3, -8?\nAnswer: -3.8478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -247913.2359 rounded to the nearest one thousand?\nAnswer: -248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0731 + 5.9269. Which is the closest to -7? (a) 3 (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2. Let z(k) = -994*k**2. Give z(x(b)).\nAnswer: -994*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3.4. Let z = 0.7 - p. Sort 3, z, 1 in descending order.\nAnswer: 3, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 39 = 33. Which is greater: a or 4\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 40467335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**3\/10 - 211*g**2 - 192852*g\/5 - 432288 = 0. What is g?\nAnswer: -158, -12, 2280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 479b6?\nAnswer: 479b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4815b (base 13) to base 8.\nAnswer: -401741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9641, 9599, 9555, 9509, 9461?\nAnswer: 9411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10508264 divided by -202082?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 90 + 354 = 0. Let z = p + -136. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((47151\/434)\/39 - 15\/(-70))*76\/(-6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -37, 2 in descending order.\nAnswer: 2, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-41 - -20 - (-12 - 2)) - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((-66)\/495).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*x + 40 = 0, k - 5*x + 4*x = 10. Let q be (-63)\/((-1)\/((1 - -4)\/k)). Calculate the greatest common divisor of q and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1174 - -3533\/3. Let -q*t**4 - 1\/3*t**2 - 1\/3*t + 3*t**3 + 4\/3*t**5 + 0 = 0. What is t?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -0.97. Let i = -3.07 + g. Which is the nearest to -1? (a) -0.2 (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30313614 divided by 226221\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48*t**4 + t**3 + 10*t**2 - 8309?\nAnswer: -192*t**3 + 3*t**2 + 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.2, 4, -1.1, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(133)*-4)\/((4*sqrt(63))\/sqrt(9)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 352, 787, 1396, 2179?\nAnswer: 3136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r + 147. Let j be b(-69). Calculate the greatest common factor of j and 475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132503, 132502, 132501, 132500, 132499, 132498?\nAnswer: 132497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (36 + 247 - 78)*(-8*s + 70 - 70) to the form a*s + d and give a.\nAnswer: -1640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54684*h**2 + 94873*h wrt h?\nAnswer: -109368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -823, 4152, 10 in descending order.\nAnswer: 4152, 10, -1, -823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/6 + 2350405*s\/3 - 5524403664025\/6 = 0. What is s?\nAnswer: 2350405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 617498818 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 - 5651*u**2 - 23902245*u + 1223918825\/3.\nAnswer: -(u - 17)*(u + 8485)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 - 92. Suppose g = -2*d - r + 4 + 15, -3*r - 43 = -4*d. Suppose -d = -2*b, 4*u - 4*b - b = 323. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3974 is divided by 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.94 - 17.84. What is t rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15831 or -15866?\nAnswer: -15831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 285 = -19*u + 38*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Let r = -1\/41 + -36\/205. Let p = -18 - -37\/2. Which is the third smallest value? (a) v (b) p (c) r (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w - 6*w + 3*w + 5 - 5 - 10*w + w - 3 + 3 + (0 + 4 - 2)*(-3*w - w + 5*w) - 3*w + 0*w + w - 2*w + 0*w + 0*w in the form r*w + n and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**4\/48 + w**3\/24 - 4*w - 3. Let v(y) be the first derivative of l(y). Factor v(h).\nAnswer: -h*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -r + 5*z, 2*z + 22 = 4*r - 0*z. Suppose -2*h + 39 = r*c, -h + 4*c = c - 24. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-4 - -7) + (0 - -1). Solve 8 = -q + a*k, -1 = 4*q + k + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2958)\/(-435))\/(-5 - 216\/(-40))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 3315 + 605 = 0. Let c = -491 - h. Sort -3, -83, c, 5.\nAnswer: -83, -3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + i = 6858, -3*i - 347 + 1727 = j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -124, -249, -606, -1315, -2496?\n\"Answer: -20*h**3 + 4*h**2 + 3*h - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/15*21 - 2. Suppose -k*l = -4*v - 245, -2*l + 4*v + 62 + 48 = 0. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 7*w - 73. What are the prime factors of o(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1788849?\nAnswer: 7155396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 331 - 333. What is the third biggest value in t, 0, -4, -0.08?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 395, 414, 563, 890, 1443, 2270?\n\"Answer: 8*o**3 + 17*o**2 - 88*o + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*m - 2*m. Let d be (-5)\/((-10)\/(-4)) - -7. Let r = d + m. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 39. Solve l - 7 = 2*p, -a*l + 9 = -p + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*p + 16, -194*p = 266*p - 460*p + 62*x - 434 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 + i**4\/2 - i**3\/6 + 5*i**2\/2 - i. Let d be o(6). Let p be d\/(-4)*2*0. Solve 0 = 2*m - p*m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 627 and 3729?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-1)*(-39)\/(13923\/34)*(-14)\/(-48).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/6*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1145 times -0.04059?\nAnswer: 46.47555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 601677589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*f = 478*f - 126. Suppose 2*q - 15 = 3*z, 3*z = z + 3*q - 10. Sort 1, f, 5, z in decreasing order.\nAnswer: 5, f, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o + 240 = 891. Let a(v) = -v**3 - 6*v**2 - v - 3. Let w be a(-6). Solve -4*z + 16 = -m, -w*m + 6 = -z + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4290609?\nAnswer: 3, 41, 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1801196491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 506221000 to the nearest 100000.\nAnswer: 506200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1260, -2522, -3784, -5046?\n\"Answer: -1262*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -7*y**5\/6 - 124135*y**4\/6 - 275094197*y**3\/3 + 223000628*y**2 + 812415216*y - 943697088 = 0?\nAnswer: -8868, -18\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6, -4*f + 54*t + 199334 = 59*t. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*j + 572, -5*t + 3285 = 2*j + 533. Suppose 6*z + 0*z = t. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.94 - 546.34. Round p to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627955 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + -1.1. Let a = -1.32 - g. Let j = -0.0186 - a. What is j rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/(-42))\/(4\/(-35)))\/((-14)\/21)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 8*t**3 + 4 - t**2 - 14*t**3 - 9 - 8*t**3 to the form k + z*t + o*t**3 + u*t**2 and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-8) - (-22)\/44\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20.2 (b) 0 (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**2 - 63*z - 64 = 0.\nAnswer: -1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116.16 + 114. Let m = h - -3.16. Let v = -3\/124 - 971\/868. Sort -1, m, v in decreasing order.\nAnswer: m, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from xkgdxadxdghkdgk.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3914264 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: Let l(d) = -d**3 + 12*d**2 - d + 26. What are the prime factors of l(12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-72)\/(-30))\/(45\/(-150)))\/(2\/(-8)) - 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/3 - 10502*o**4\/3 = 0. What is o?\nAnswer: -10502, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 138739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, -54, -2, 148 in increasing order.\nAnswer: -54, -10, -2, 5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2272.6*-0.37\nAnswer: -840.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + -100. Suppose 2*w + l = 11. Which is greater: w or 8\/41?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-16))\/((-156)\/(-104)))\/((-3)\/(-402)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*g = -5*x + 41, -213*g = 9*x - 215*g - 59 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -987405, -987393, -987381?\nAnswer: -987369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -4. Let n(s) = s**2 - 14*s + 17. What is the remainder when h is divided by n(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hphmhipyphprmir. Give prob of sequence mhh.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 8. Let c be k(5). Suppose c*r - 10 = 32. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 217 = 208. Let c(i) = -i**2 + 8*i - 13. Let d be c(r). Solve -5*a + a - 10 = -2*j, -d*j = 5*a + 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + w + 14, 25*m - 4*w = 27*m + 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-12)\/18)*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 4:46 AM?\nAnswer: 73","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -14 (b) 1 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17974, -3, -2087, -4 in ascending order.\nAnswer: -17974, -2087, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 246*n = -968*n - 6144 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdrrrrqdddrzzxazdax. Give prob of picking 2 r.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/5)\/(1\/(-25)). Let g be d\/20*4\/14. What is the biggest value in g, -2\/21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((1102\/(-203))\/(-38))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y - 2537 = -89*y - 90*y + 288*y for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(405))**2 + (sqrt(5) - (sqrt(15)\/sqrt(3)*-5)**2) + 1*sqrt(20) + (sqrt(50) - sqrt(200))\/sqrt(10))*-3.\nAnswer: -840 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*x = -4, 0 = -3*n - x + 1 - 0. Let w be (-1)\/(1*1\/(-1)). Let h be (5\/1)\/(w\/3). Solve -3*j = -n*m - m + 1, j = 4*m - h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.72148 nanometers in kilometers?\nAnswer: 0.00000000006872148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/201531 and -92\/384741.\nAnswer: 4232151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -23.507 and 0.07.\nAnswer: -23.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73, -98, -159, -274, -461?\n\"Answer: -3*z**3 - 4*z - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**6\/120 + 2*u**5\/15 - u**4\/3 + 5*u**3\/6 + 16*u**2 - u. Let x(k) be the first derivative of z(k). What is x(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 841 + -841.3. Which is the closest to 1\/6? (a) w (b) 0.5 (c) 5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 123 = 131 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = 0, -a - 3*p = -9 + 2. Let o = -13 + 49. Let v = -36.4 + o. Sort a, -1\/3, v.\nAnswer: a, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 257262096.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.01451115.\nAnswer: 0.01451115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 4315*s**2 + 4300*s + 8620.\nAnswer: 5*(s - 862)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, -10, -5, 555 in descending order.\nAnswer: 555, -3, -5, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 3, 1\/5, -2\/17, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 88580000 to the nearest 1000000.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-54) + (-104)\/(-18). Let h(m) = m**2 - m - 1. Let l be h(r). Let f = l + -18. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236*a*r + 15*a + 243*r - 11 wrt a.\nAnswer: 236*r + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.2228944 to 3 dps.\nAnswer: -45.223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103.0000043 + 103. Round u to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**2*y + q*y**3 + 11*q*y**2 - 2*y**3 - 8*y**2 wrt q?\nAnswer: -2*q*y + y**3 + 11*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1575, -3162, -4751, -6342?\n\"Answer: -u**2 - 1584*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i + 40. Let g = -6 + i. Suppose 0 = 2*p - 10 - g. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + 2a65a?\nAnswer: 2a666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -364*k*y + 2*y - 5 wrt k?\nAnswer: -364*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66 + 1 - (-18)\/(-9). Let z = o - 39. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1809 + 1279 = -171*b + 694 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2049 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4 = -5*k + 4*k, 5*k - 20 = 0. Suppose 0 = 4*s - j*s - 16. Solve n = s*z + 5, 1 = n + 2*z - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 228, 295, 364, 435, 508, 583?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnrr when four letters picked without replacement from nnnnrrrnl.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40126393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19331*p + 529*p**3 - 9661*p - 9670*p + 466*p**3.\nAnswer: 995*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/15 - d**4\/24 + 9*d**3\/2 + 11422*d**2. What is w(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 10 = k, 0 = 17*k - 21*k - 2*p + 44 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -21*z - 7. Let d(v) = 13 + 13*v + 9 - 27 + 8 - 2*v. Determine -7*d(t) - 3*r(t).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 2*s**3\/3 - 4. Let u(x) = 2*x**2 + 3. Let t(f) = 5*f**2 + 1 + f**2 - 5*f**2. Let g(p) = 3*t(p) - u(p). Give g(k(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19170224 and 100344.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 11 = -5. Let r be (-1 - 2) + 5 + 6. What is the units digit of (r\/(-12))\/(l\/(-150))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 564713300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04691*0.2.\nAnswer: -0.009382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - r + 1. Let u be 5\/(-15)*(-3 + 24\/(-8)). Let w(a) = a - 1. Let t = -1 + 2. Let o(b) = t*m(b) + u*w(b). Calculate o(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6037, -12098, -18111, -24070, -29969, -35802, -41563?\nAnswer: -47246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.369 to 2 dps.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3653.8 - 3654. Let t be 8\/6 - (-4)\/(-6). Let k = -103 - -101. What is the third biggest value in k, t, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. What is the second derivative of 3*w + 3*w**m + 3*w + 0*w - 5*w wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4212) + sqrt(4212) + 3 + sqrt(4212) + 2 - sqrt(4212))**2 - (-6*(sqrt(468) + 1))**2*-6.\nAnswer: 2952*sqrt(13) + 118177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*t**4*v + 63*t**3*v**2 - t**3*v + 12*t**2 - 28*t*v**2 - t*v wrt t.\nAnswer: 3336*t*v + 378*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 157900, 4, 0.3 in ascending order.\nAnswer: 0.3, 4, 157900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 223 - 11*t**2 + 223)*(-2 + 5 - 2)*(-1 + 0 + 0) in the form c*t**2 + y*t + v and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.6. What is the smallest value in -1\/4, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -7*l + 242. Solve -21*r = -7*r - l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/46 and -43\/17503.\nAnswer: 35006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -3. Let y = 16 + -15. Let v(n) = 3*n**2 - 34*n - 226. Let l be v(16). Sort u, y, -1, l.\nAnswer: u, l, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**8\/42 - 11*s**7\/21 + 23*s**6\/10 - 19*s**5\/6 + 4*s**4\/3 - 2560*s**2. Let u(n) = 0. Calculate n.\nAnswer: -16, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3) + (-5 - -4) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16295286 + 0.468?\nAnswer: -16295285.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 13 + 3. Let p be ((-12)\/h)\/((-30)\/(-8)). Is -1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 537 (b) -1\/9 (c) -2 (d) -5 (e) -93 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Suppose 0 = -n - 5*q + 9, t*n - 17 = -q. Let s = n + -2. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 - 55.86. Let y = 56.2 + z. What is the third smallest value in -0.3, -0.5, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 2*r**4 - 3*r**4)*(1872*r - 3136*r + 1677*r - 1).\nAnswer: -1239*r**5 + 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9667155 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-15)*(-2)\/1. Let q = -2099\/8 - -262. Let j be (4 - 2)*4\/(-6). What is the nearest to 0 in p, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 19*w**2 - 66*w + 45. Calculate x(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -301440 + -24143?\nAnswer: -330023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46305 is divided by 23112?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -433.4 - -433. Put -0.5, -5, x, 0.3 in descending order.\nAnswer: 0.3, x, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 153, 55, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 40 = -2*a. Let n = a - 22. Find the third derivative of 0 + n + 26*b**2 + 2*b**3 - 25*b**2 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69937 and 2037.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 147797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 583 = -5*t - 111, -4*t + 3*y = -390. Calculate the greatest common divisor of 84 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 10019374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1241*y + 6999*y - 2350*y + 7446*y in the form a*y + c and give a.\nAnswer: 13336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -16529, 3, 1 in ascending order.\nAnswer: -16529, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-1)\/4*(-44)\/33.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/42*3*12\/(-5). Solve -z*r - 2 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-15)*6\/(-4))\/1. Suppose -2*r + 1 + 5 = 0. Suppose r - 7 = -4*n. What is the greatest common divisor of o and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2. Let a(c) = -4*c - 200 + c + 192. Let t(m) = 2*m + 5. Let w(l) = 5*a(l) + 8*t(l). Determine w(v(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -383643*q**3 + 6817783 wrt q?\nAnswer: -1150929*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 85. Let k(a) = -a - 5. Let g be k(-3). Put g, -1, t in ascending order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 + 290. Let n(l) = l**2 - 48*l + 264. What is the remainder when 166 is divided by n(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, y: 1, b: 2}. What is prob of sequence bvy?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-253)\/(-24 + 47) + -2 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k**1)\/(k**(1\/13)*k*k**4*k))**4 assuming k is positive.\nAnswer: k**(-264\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -312414 (base 5) in base 8?\nAnswer: -24167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 197023.8.\nAnswer: 591071.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 301859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9030.90083 - -3.\nAnswer: 9033.90083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-9) + 3\/((-9)\/768). Let p = u + 99. Let w = -55 - p. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 2*j**2 + 5*j - 3. Let k be f(4). Let x be -3*(2 + k\/(-81)). Let u = -53\/63 + x. What is the second smallest value in 10, 2\/11, u?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 4*t**2 - 2*t - 2. Let w be c(-4). Solve 4*b = 0, 2*g - 5*b - 2 = w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/7 + 6600*n\/7 + 19827\/7 = 0.\nAnswer: -3, 2203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 603, 1215, 1827, 2439, 3051, 3663?\n\"Answer: 612*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0796 - 1.7804. Which is the fourth smallest value? (a) 5 (b) 2 (c) v (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - 1 - (-65 + 47)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -49*z - 7. Let c be a(-13). Suppose -2*n = -5*r + 651, -4*r = r + 5*n - c. What is the remainder when r is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 0 - (19 - (-13 + 26)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 1 - 5)*(-2 + 3 + 1)*(-2 + 3 - 2)*(2*c + 11*c - 8*c)*(-5 + 5 + c**2) to the form x*c + m*c**2 + j + t*c**3 and give t.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 6 = -2*c. Suppose c*y - y = -2*m, m = -5*y + 4. Let w be (-6 + y)*(4 + 7). Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76917723 to the nearest integer?\nAnswer: 8770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 20*d = 2004. Calculate the common denominator of 16\/(-12) + d\/60 and -32\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 181, 357, 527, 685, 825, 941, 1027, 1077?\n\"Answer: -z**3 + 3*z**2 + 174*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24113 is divided by 786.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 5*w**2 - 19*w + 151. Let y be v(6). Which is the biggest value? (a) -28 (b) -2\/23 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.5, 23, 2\/5, -4597 in decreasing order.\nAnswer: 23, 2\/5, -3\/7, -0.5, -4597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 63 - 109. Solve 0 = -9*w - 22 - k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**3\/3 - 11*b**2\/2 + 17*b + 1. Let u be t(12). Suppose h - 4*k = 38, -5*h + u = -2*h + 5*k. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64401*u - 64798*u + 129187*u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 7. Suppose -3*g + g - 15 = 3*w, -5*w - 25 = -5*g. Let v be x(w). Suppose v*u - 3*b = -30, 6*u + 30 = u + b. Put 5, u, -2 in ascending order.\nAnswer: u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12039*-2.7\nAnswer: 32505.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/825)\/(((-6)\/273*13)\/(6\/21)).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 7166 = 3564. Suppose 5*o - s = -u, -12*o + 1531 = 4*u - 9*o. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 7) to base 2.\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17, -34, -49, -56, -49, -22, 31?\n\"Answer: o**3 - 5*o**2 - 9*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 11*m**2 - 2*m - 1. List the prime factors of q(-8).\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - w + w)*(0*w**3 - w**3 + 0*w**3) + (247*w - 43*w - 7*w)*(-5*w + 3*w - 3*w)*(-2*w**3 + 3*w**3 - 3*w**3).\nAnswer: 1965*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1319*o + 1472*o + 8396 + 2875 = 3080*o for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2*y**2 - 138. Let g(b) = 19*b**2. Determine v(g(j)).\nAnswer: 76*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 117*s - 120*s + 26, 0 = 4*j - 4*s - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biiwbbuweiijiiuibw. Give prob of sequence bje.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuyy when four letters picked without replacement from {u: 1, d: 1, n: 6, w: 1, y: 5}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19058, 38118, 57178, 76238, 95298?\n\"Answer: 19060*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54003?\nAnswer: 3, 47, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/7)*t**11*t)\/(t*t*t**(1\/2))**(3\/40))**(-3\/5) assuming t is positive.\nAnswer: t**(-4209\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 283. Let d = 249 - k. Which is the nearest to d? (a) 3 (b) 3\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) 0.216 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15065 + 7345?\nAnswer: 24432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 132, 416, 948, 1806, 3068?\n\"Answer: 13*z**3 + 7*z**2 + 2*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 15\/3*12. Let y = o - 19. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8091 and 29016?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3085 (base 13) to base 3\nAnswer: -100012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giggiggikvrgbrgg. Give prob of picking 1 g, 2 i, and 1 k.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - k + (-1 + 1 - k)*(-1 - 1 + 4))*(-116 - 58 - 145 + k**2 - k**2 + 0*k**2 - 4*k**2 + (4*k + 0*k - 2*k)*(2*k + 3*k - 3*k) + 3*k - 3*k - 2*k**2).\nAnswer: 2*k**3 + 319*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*126.2428.\nAnswer: -10.099424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 9*q + 12. Let r be x(-6). Let j be (24\/r)\/((-9)\/7). Let w be -2*(0 + (-2)\/(-4)). Which is bigger: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b420 + 8b?\nAnswer: -2b384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362*z + 337*z + 1655 = -9495. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 44. Solve 3*t - 5*b + a = 0, 2*b + 13 = t + 6*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 3*y**3 + y**3 + 3*y + 2*y**3 - 3*y - 9*y**3 + 12*y**3 + 2*y**3 + (-2 + 2 + y**2)*(-2*y + 0 + 0).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/39345 and 10\/1647?\nAnswer: 354105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 3170 + 5*l + 3182. Let k(g) = -2*g**2 - 13*g + 1. Let a be k(-7). Let n(h) = -3*h - 36. Let o(c) = a*n(c) - 17*t(c). Determine o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19053528 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = -5*b. Solve 6*y - 68 + 44 = b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + o**2 + 3*o**2 + (-3*o - 2*o + 4*o)*(o + o - 4*o))*(0 + 2*o + 0).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*y**3 - 48*y + 89*y + 20*y**2 - 42*y wrt y?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14050 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (10 + 10 + -20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22004 + -22000. What is the closest to -258 in 2\/5, m, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 46 - 2*y - 21.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*385\/660)\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18155 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k + 4. Let y be l(-6). Is y\/30 - (-41)\/3 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351 (base 7) to base 16.\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13*r + 15. Let f(g) = -6*g + 7. Let i(j) = -9*f(j) + 4*n(j). Let v be i(2). Solve a - v = -3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 5. Suppose -50 = 5*q - 15. Let y be a(q). Factor 4\/7*j + 0 - 10\/7*j**y.\nAnswer: -2*j*(5*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 + (-11 - (-6 + 4)) + -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/298485 and 187\/18090?\nAnswer: 596970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (87\/(-667))\/(3\/2). Which is the second biggest value? (a) i (b) -8 (c) 1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5)**(-1) assuming g is positive.\nAnswer: g**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 - -386. Suppose 2*i - 57 = 2*r - p, -2*i = -2. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -3*x**6\/20 - 4*x**5\/15 - 89*x**4\/2 + 585*x**2. What is the second derivative of z(n) wrt n?\nAnswer: -108*n - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let n = 47.49 + 0.51. Let y = n + -43. Which is the nearest to -2? (a) 0.1 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 - 5*v**2 + 8*v + 3. Let i(f) = 10*f**3 - 26*f**2 + 40*f + 14. Let s(k) = 3*i(k) - 14*u(k). Solve s(h) = 0 for h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, v: 1, q: 2, r: 4}. What is prob of sequence vpp?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -44343819 to the nearest 1000000.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 24, -3, -1 in increasing order.\nAnswer: -3, -2, -1, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -59. Let j be (-9)\/(-4)*o\/27. Which is greater: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -2165\/91?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181491256 divided by -15662.\nAnswer: -11588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1\/(-3)*30. Let t(o) = o**2 + 7*o + 7. Let y be t(-6). Let f = q + y. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -753074*k**2 - 401867 wrt k?\nAnswer: -1506148*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**7\/21 - b**4\/6 + 3*b**2. Find the second derivative of p(t) wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-5))\/((-23)\/((-2024)\/(-22)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s - 4*z = -48, -s + 4*z = -32. Calculate the least common multiple of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7819, -7825, -7843, -7879, -7939?\nAnswer: -8029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 20 + -68 + 23.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37313255171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 143*w - 7445. Give o(63).\nAnswer: 1564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -35830\nAnswer: -1\/7166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 11*w**2 - 5*w + 4. Give l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 179*j + 190. What is w(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 - 117. Suppose -y*s - 147 = 5*d + 118, 4*s - 28 = d. Let c = d - -60. Calculate the least common multiple of 18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**4 + 2*w**4 + w**4)*(-2 + 2 + 1) - 10*w**2 + 10*w**2 + 8*w**4 in the form q + x*w**4 + n*w**3 + o*w + c*w**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.9 + -0.1. Let j = u - -4. Let t = -1 + 0. What is the second smallest value in 0.1, t, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 11:14 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 252?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.2, 1386?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.15 + -0.55. Let l = s - 15.6. Let y = 16.00000001 + l. What is y rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2959206350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94600917?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -319 or -35380\/111?\nAnswer: -35380\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 4\/5 (b) -13\/2 (c) 8\/11 (d) 0.2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**2 - 12*z + 12. Let h(v) = -v**2 - v + 1. Let k(t) = -t**3 - 9*t**2 + 9*t - 9. Let d be k(-10). Determine d*f(a) - 12*h(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 3386 = 1298. Let y = 498 - k. What is the remainder when y is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45b6 - 105?\nAnswer: 44b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 20 = 4*q. Suppose -8*s + 13*s - 10 = 0. Put q, -3, 5, s in descending order.\nAnswer: 5, q, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29682582511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/54*(1261665\/530)\/(-529).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-28)*2)\/(152\/(-532))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**4\/8 - 93*z**2. Let m(q) = -2*q**2 + 1. Give m(w(g)).\nAnswer: -18*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 + 1771\/9. Let d be 1 + -1 - 1\/5. What is the third smallest value in d, -4, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = 2*d. Suppose 0 = -d*u + 10 - 0. Let a be -2*(4 + u*-1). Sort -5, 5, a in descending order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 17)\/((-5)\/10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17898655 is divided by 95?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + d**2 + 6*d + 6. Let p(b) = -b**3 - b**2 - 5*b - 5. Let h(k) = 6*p(k) + 5*r(k). Let w be h(-2). List the prime factors of (2\/w)\/(10\/120).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29666 = -7*n + 20629. Is n a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 21*g - 2. Let j(a) = 1786*a - 171. Calculate -2*j(h) + 171*r(h).\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**7\/21 + m**6\/15 - 483*m**5\/5 - 4505*m**3\/3 + 69*m + 28. Find the second derivative of i(z) wrt z.\nAnswer: 40*z**3 + 24*z**2 - 11592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.71 - -0.04?\nAnswer: 13.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*u - 2191 - 3459 + 580 = 199 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n - 12. Let c(t) = -25*t + 33. Let z(q) = -4*c(q) - 11*y(q). Let x(f) = -4*f. Let m(j) = 11*j. Let o(h) = 3*m(h) + 8*x(h). Give o(z(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 66. Let r = 23 + -26. Sort 2, m, r, 1.\nAnswer: r, 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 - 0.07. Is h greater than 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9 = -21. Let q(i) = -i - 6. Let p be q(z). Is 354\/6 - (2 - p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -322, -828, -1538, -2452, -3570, -4892?\nAnswer: -6418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in -3\/8, 0.2, 3\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91485124.\nAnswer: 2, 47, 587, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 198 (b) 1\/4 (c) 1\/2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(27\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -291 - (5 + 6 + -7). Let n = -265 - y. What is the highest common factor of n and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19592385311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -347253944*s**2 - 341151999 wrt s.\nAnswer: -694507888*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 5. Suppose -c*n + 2 = -4*n. Factor 3*i**2 + 0*i**n - 5*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -7.1, -2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53547?\nAnswer: 3, 13, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u - 14. Let x be b(-4). What is the second derivative of -2*y**2 + 9*y + 3*y**2 - 3*y**2 + 6*y**x wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -15*i - 39. Suppose -18*q - 209 = 114 + 109. Let o(x) = 4*x + 8 + 6*x - 4*x - 3*x. Give q*o(a) - 5*d(a).\nAnswer: 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102 - 28*m - 102)*(m**2 + 1 - 2*m**2 + 3*m**2) to r + j*m + s*m**2 + n*m**3 and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (16 - 5 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -9*k**5\/40 + k**4\/2 - k**3\/4 - 6*k. Let l(p) = 0. What is p?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166 - -191. Suppose 2*x + 46 = h*x. Solve -o - x*o = 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.09 - -18. Let t = r - 0.39. Let z = 0.5 + t. What is z rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/619 + -16084\/3095. Find the common denominator of 47\/11 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 130859, 523444, 1177767, 2093840, 3271675?\n\"Answer: 2*j**3 + 130857*j**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 1:28 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 26, -17, -11, 4 in decreasing order.\nAnswer: 26, 4, 1, -2, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 + 7*g**2 - 7*g. Let m be d(5). Let a = 3469 - 3657. Let z = a + m. What are the prime factors of z?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1205702872 to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**3 - 3*f**3 + 6*f**3)*((0 + 3 - 1)*(2*f - 2*f - 2*f) + 75*f + 14*f - 149*f) to the form h*f**3 + l*f + t + w*f**2 + v*f**4 and give v.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -78*y**2 - 771*y + 209. Determine j(-10).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*p + 54 = -2*c - 261*p, p + 14 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, 1 t, and 1 m when four letters picked without replacement from mffumfffhufuuhftmd?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -21?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*f**3*k + 12415882*f**3 + 98296*f*k**2 with respect to k.\nAnswer: -12*f**3 + 196592*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:23 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -11 - (-43 + 27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.395171 to 2 decimal places.\nAnswer: -136.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*y + 98*y + 69524 = 0. What are the prime factors of y?\nAnswer: 2, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64830207.\nAnswer: 3, 13, 31, 53623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 832640046 to the power of 1\/2, to the nearest integer?\nAnswer: 28856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 0.066\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 75c7 (base 13) to base 2\nAnswer: 100000000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85e4 (base 15) to base 5.\nAnswer: 1401324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 95004\nAnswer: -95001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 11:55 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 41 + 41 + 881*b**3 - b + 0*b.\nAnswer: 881*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8 - 9*s + 139994*s**2 - 139989*s**2 + 10*s - s**3. What is t(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (30 - 38 - -19)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1254.614217 and -3073?\nAnswer: 4327.614217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322.8521 - -322.83169761. Let k = u - -0.0204. Round k to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2556\/28 - (-6)\/(-21). Suppose f = v - y, 2*v = -0*v - 3*f + 162. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (34\/918)\/(8\/(-2610)*(-25 - -4)) and 59\/154.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10259.\nAnswer: 10259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1698.6087 + 1699.3. What is f rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {j: 1, d: 4, q: 2, r: 5, e: 2, h: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 330*q**3 + 2*q. Let r(h) = 123089*h**3 + 747*h. Determine 747*f(b) - 2*r(b).\nAnswer: 332*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3191*j + 3192*j - 5*v, -60*j - 5*v - 35 = -59*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 220699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25184 - 12402. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 3 = 4*l. Which is the third smallest value? (a) 96 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 563 or 502?\nAnswer: 502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-16) - (-15)\/30?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*r - 12, 7*w = 5*r + 5*w - 36. Suppose 3*t = 3*n + 21, -3*t - r = t + 5*n. Solve 3*v - 2 = u + 9, t*u - 7 = v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*o**2 - 15*o**2 - 98*o**2 + (-3*o**2 - o**2 + 2*o**2)*(2 + 1 - 2) + 4*o**2 - 3*o**2 - 2*o**2 + 0*o + 0*o + 2*o**2 + (8 - 8*o**2 - 8)*(0 - 4 + 3).\nAnswer: -59*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12019 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(243) + -1 + -2 + (sqrt(243) - (sqrt(243) + -2 + -4 + sqrt(243)) - sqrt(243) - -3*(-2 + sqrt(243))))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + j - 2*j + 0*j + j + (3 - 5 + 0)*(3*j - j - j))*(56 + j - 52 + 6*j).\nAnswer: -14*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(0 - (-2 - -1)). Solve -y = -r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -793369*f**5 - 15529432*f**2 wrt f.\nAnswer: -47602140*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85897 - -143801. Let t = s + -57906.20104. Let z = -2.2 - t. Round z to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334071364 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: Suppose 40 = 4*c + n - 15, -5*n + 41 = 2*c. Suppose -145 = -c*d + 5185. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3 - 7*n + 2 - 1. Let w = 98272 - 98271. Let o(l) be the second derivative of -l**3\/6 - l**2\/2 - l. Determine w*f(c) - 5*o(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330477 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: Is 86747993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {v: 9, j: 10, m: 1}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) 0.24 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3137, -6275, -9413, -12551, -15689?\n\"Answer: -3138*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 21*q**2 + 25*q + 491. Give j(23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -45, -3 in descending order.\nAnswer: 5, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8087925 take away -231726?\nAnswer: -7856199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4698)\/324 + (-3)\/6*-3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 22*s - 345*s = -13006530. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 smaller than 320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -838, -1674, -2510, -3346, -4182?\n\"Answer: -836*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1234*v**3 + 328*v**3 - 1410*v**3 - 12*v**3.\nAnswer: -2328*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 341 - 693 + 352.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 - 115. Let a(m) = m**3 + 6*m**2 + m + 7. Let s be a(k). Put s, 11, 0 in increasing order.\nAnswer: 0, s, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p + 248*p**3 - 1 - 329*p**3 - 9*p + (-4*p + 0*p + 3*p)*(-3*p**2 + 4 - 4).\nAnswer: -78*p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -730.8 to the nearest ten.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14737 - -640.\nAnswer: 15377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxizljlxliliillrlj. What is prob of picking 1 r and 1 l?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.392 + 8.41368. Round y to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822.6764l to millilitres.\nAnswer: 822676.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -20*o + 2. Let d be m(-1). Let f(a) = a**3 - 6*a**2 + 9*a - 32. Let r be f(6). Is d at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-5)\/(-6)))\/((-18662)\/(-6665)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*w - 11. Suppose w*k - 5 - 7 = g, 5*k - 4 = 4*g. Solve k*x - 19 - 1 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -1\/400*t**6 + 0*t**4 + 0*t + 0*t**3 + 0 + 1\/300*t**5 + 35*t**2 - 1\/1050*t**7. Solve y(o) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805892?\nAnswer: 2, 201473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 18*n**3 - 461*n**2 - 7*n - 14. Let g(t) = -8*t**3 + 230*t**2 + 3*t + 6. Calculate 3*a(d) + 7*g(d).\nAnswer: -2*d**3 + 227*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5801453 to 2 decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 1. Let t be 6\/(-9) - (-66)\/(-36). Let y = -6.7 + 7. Which is the third biggest value? (a) t (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, 1 n, and 1 y when four letters picked without replacement from ycllclqylylqrnc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 48 = 3*t, 5 = -4*j - j. Suppose t + 1 = 2*a. What is the least common multiple of a and 37?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1165008 and 107\/2844.\nAnswer: 276106896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {n: 2, i: 4, a: 3, v: 1, x: 7}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(0 + (-1 + sqrt(272))**2 + -1 + (sqrt(272) - (-2 + ((0 + sqrt(272))**2 - sqrt(272)) - sqrt(272))) + -2).\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2960950488.\nAnswer: 2, 3, 71, 1737647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1*8*15\/10)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 599*p - 596*p - 18 = 0, -4*a - 54 = -9*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 divided by 1?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*u - 3*a, -7*a = -3*u - 5*a + 5. Solve u*h = 4 - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.02+-9.53362\nAnswer: 13.48638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 107240*c + 214500.\nAnswer: -5*(c - 21450)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhii when four letters picked without replacement from btiibbbitbhtbhhth.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 2\/(-1))\/1. What is the first derivative of 0 - 4 + 0*s + 2*s + z wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 112 - 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 82*c - 2. Let u(h) = h**2 + h + 1. Calculate -p(w) - u(w).\nAnswer: -2*w**2 - 83*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l - 1. Let r(c) = -6*c. What is -3*r(i) - 4*s(i)?\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242472 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 10)*(-1 - -3). Suppose -v = q, 2*v - 2*q = w + 4. Find the first derivative of -c**3 - 2 - 8*c**v + 6*c**2 + 2*c**2 wrt c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -0.5 (c) -3259735\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*d + 4*d. Suppose 3*l + d = 5*z, -z + 4*l - 5 = -0*l. Suppose 0 = z*n - n - 280000. Round n to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - ((-46 - -7) + 113)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (3 - 10)) + -5. Suppose -2*p + j + 0 = 0. Put 3, 2\/3, p, 0.5 in ascending order.\nAnswer: p, 0.5, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -4, 3, 5 in ascending order.\nAnswer: -4, 3, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i - 1. Determine y(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39539, 79078, 118617?\n\"Answer: 39539*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/120)\/(3\/(3\/(-1)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-4)\/2*4. Let y(k) be the first derivative of -k**4\/4 + 7*k**3\/3 + 4*k**2 + 7*k - 3. Is y(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -29 + 34 - (-1 - -3). Sort -5, -8, w.\nAnswer: -8, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 20*w**2 + 2*w\/3 - 20.\nAnswer: -2*(w - 30)*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 29. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 28*s**5 + 64*s**4 - 768*s**3 + 1064*s**2 - 220*s - 168 = 0.\nAnswer: -7, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3347402)\/12 - -12*(-14)\/(-1008). What is v rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001170610566 to seven dps.\nAnswer: 0.0011706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -j + 2*q - 4*q, 3*q + 113 = 5*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -802.4000008258 - -802.4. Round n to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*v**3 - 10*v**3 - 90*v + 542*v**4 + 46*v**2 + 52*v + 47*v - 6*v**2 wrt v.\nAnswer: 13008*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2466 * -1.\nAnswer: -2466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*((-340)\/(-24))\/(-17)*2\/3. Sort -2\/13, 55, -0.5, l.\nAnswer: -0.5, -2\/13, l, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 18*o + 94. What is j(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-1) + 390\/(-975) + 4*(-453)\/(-30)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5552207*g**5 + 1699979*g**2 wrt g?\nAnswer: 333132420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148565 and 59426.\nAnswer: 297130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 604 or 669?\nAnswer: 604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1558.38 - -1557.8. Put 1, 1\/9, c, -2\/3, -5 in decreasing order.\nAnswer: 1, 1\/9, c, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9660657 or -9660655?\nAnswer: -9660655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 9, 208?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-9)*(-6)\/(-5). Suppose 6*j - 10 = s*j. Factor 2*t**5 + 6*t**j + 4*t**3 + 14*t**4 - t**2 - t**2.\nAnswer: 2*t**2*(t + 1)**2*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (124\/(-20) - -6)*(-5)\/3. Which is the closest to 0? (a) -3 (b) k (c) 7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-10)\/(-1) - 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 32*t + 705. Give a(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 11 - (-45 - -3 - -21).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -446, -449, -470, -515, -590, -701, -854?\nAnswer: -1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Let p be s\/6 + (-272)\/(-3). Let z = -15 + 28. What is the greatest common divisor of z and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 8*p + 1. Give l(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/5 + 2936*x**2\/5 - 1077512*x\/5.\nAnswer: -2*x*(x - 734)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5*-1)\/(46699\/(-13735))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*b**2 - b - 92*b**2 - 1 - 2*b**3 as l*b**3 + z*b**2 + p + a*b and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 509939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 33 = 3*r - 3*o, 5*o + 45 = -26*r - 45 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o - 1 = 0. Suppose 2*m + 24 = -4*d, 4*d = 5*m + 2 + 2. Let x be d\/(-6) - (-42)\/18. Solve -r - o = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -3, -5, 82 in descending order.\nAnswer: 82, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -59 + 39 - -7?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19\/(-1))\/(-3 - -2). What is the greatest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/8244 and 121\/18.\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7*(-77)\/(-132)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684565910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -598*y. Let l(n) = 261*n. Determine f(l(p)).\nAnswer: -156078*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 25*i = -i - 210. Let n(u) be the third derivative of 0*u**4 - 1\/4*u**i - 3*u**2 + 0 + 16\/3*u**3 + 0*u. Find the first derivative of n(b) wrt b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + c736?\nAnswer: c736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -308779511.689935 + 308703671.4. Let c = -75840 - q. Let a = 0.29 - c. Round a to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 7*l + 263. Let q be p(-13). Which is the third smallest value? (a) q (b) 75 (c) 13\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7953181*l*z**3 + 311*z**3 + 4434*z**2 wrt l?\nAnswer: -7953181*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v + 3 - 135*v + 128*v + 58*v.\nAnswer: 88*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (676\/507 - 58\/3)*1\/(-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 1, -3, 15072 in descending order.\nAnswer: 15072, 1, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 + y + 1. Let z be r(6). What is the highest common factor of z and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 1217*h**5\/60 + 1397*h**4\/24 + 363*h**2. What is the second derivative of w(j) wrt j?\nAnswer: 2434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 15 = -0*p. Let k(m) = -m**2 - 7*m - 7. What are the prime factors of k(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1820)\/(-1040)*(-60)\/(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-2)\/((-4)\/6). Suppose 2*u - l = -2. What is the third derivative of 0*v**5 - 2*v**u - v**2 + 4*v**2 - 5*v**5 wrt v?\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -432, -855, -1280, -1707?\n\"Answer: -r**2 - 420*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 95b + -2b?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 25*r**2 - 1. Let w be x(1). Suppose -l - 3*a = -5*a - 12, -3*l = -3*a - w. Let b = 58 - 63. Put b, l, -3 in descending order.\nAnswer: l, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1920) + -3*sqrt(1920)*2)*1)\/(sqrt(360) - -2*sqrt(360)*2 - (sqrt(360) + -4*-2*sqrt(360))))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 5. Let k be (y*12\/15)\/(0 + 1). Let g(i) = 3*i**2 + 0*i + i**3 - 2*i**3 + 6*i - 5. What is g(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 101*p - 102*p - 48, 4*p = -5*s + 46. What is the highest common divisor of 1400 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -2.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 11*l - 5 = 6*l, 5*l = 3*g + 5. Suppose u - 4*u + 42 = g. Let k = -12 + u. Solve 3*f - k = -14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 11. Let q be s(-9). Suppose -x + 24 = -q. Let w = 59 - x. Is w at most 14\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*k - 6*k + 29 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - 0.35. Let d = -116 + 143.3. Let h = 27 - d. Which is the third smallest value? (a) 1 (b) h (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 3*s + 3. Let o be h(2). Suppose 0 = m - j - 2 - o, m + 5*j + 1 = 0. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 28*i**4 + 55*i**3 - 361*i**2 + 278*i = 0?\nAnswer: -139\/28, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 16, 11, 8, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.7 and -0.0165.\nAnswer: 0.6835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*q - 59353 + 114*q + 59282)*(2 - 2 + 2) + (-q - 3*q + 3*q)*(3 + 1 - 5).\nAnswer: 391*q - 142","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33281064, -33281063, -33281062, -33281061, -33281060?\n\"Answer: v - 33281065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -5, 3809.\nAnswer: -67, -5, 3809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1176837215 by -28555.\nAnswer: 41213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59362483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -51, -79, -109, -141, -175, -211?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -575 in -5, -1, 0.5, 0.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2351*u**5 + 14*u**4 + 19*u**4 + 2358*u**5 + (5*u + 0*u - 3*u)*(0*u**4 - 3*u**4 - 5*u**4) - 3*u**5 - 4*u**2 + 4*u**2.\nAnswer: -12*u**5 + 33*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-11\/3))**(-15\/4)*v**(-4\/33)*v*v*v**(5\/8))**(-4\/15) assuming v is positive.\nAnswer: v**(3959\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13479 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 3*i**3 - 11 - 37*i**3 - 13 - 24*i**3.\nAnswer: -64*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -2*j**3\/3 - 6*j**2 + 2*j + 46. Let r be z(-6). Solve -2*m - r*l = -8, -3*l - 1 = 4*m - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (3 + 2 + -1)) + (-26 - 64) + 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b - 4*o = 0, -4*b = o - 15. Suppose -19 = -2*f + 5*u - 5, b = 2*u. Let z be 2\/f - 19\/(-30). What is the nearest to -1 in z, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 117, 113, 109, 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 19724986*b**2 + 10*b + 62. Let u(p) = 6574995*p**2 + 3*p + 21. Let y(i) = 14*u(i) - 5*z(i). Let x be y(-2). Round x to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, 1, 0, 351646 in descending order.\nAnswer: 351646, 95, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5999571?\nAnswer: 3, 41, 71, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0 + 4. Let k be 3614\/(-78) - (7\/(-3) + 1). Let b be (-5 - 5) + k\/(-9). Sort b, c, 0.\nAnswer: b, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -429 - -818. List the prime factors of f.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6549 (base 10) to base 15.\nAnswer: -1e19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssqqqsqqssqs. What is prob of sequence ssq?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-1 + (6 - 77\/22 - 1))*-12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, -1, 3 in ascending order.\nAnswer: -95, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 5.96. Let i = v - -0.06. What is the nearest to 1\/4 in 0.2, i, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by -30586.\nAnswer: 26\/15293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3346411 centuries in millennia?\nAnswer: 0.03346411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37928 by -862.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*-3*4\/36.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1175, -1162, -1135, -1088, -1015?\n\"Answer: u**3 + u**2 + 3*u - 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 12) in base 7?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2210 in 9\/7, 25, -0.4?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Does 679 divide 92596588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 - 1216684*z**4 + 53*z**2 + 2*z + 525.\nAnswer: 60*z**2 - 29200416*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132385?\nAnswer: 5, 11, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, v: 1, x: 3, p: 3, u: 2}. Give prob of sequence xvuu.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -242*r + 231*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1666, 1664, 1660, 1654, 1646?\nAnswer: 1636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17224097.\nAnswer: 11, 1565827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -66*y + 88. Let o(n) = n - 1. Determine -a(t) - 88*o(t).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) 0.06 (c) 1848 (d) 5\/4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 104531, 2, 9 in decreasing order.\nAnswer: 104531, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 + 24*p**4 + 147*p**3 - 564*p**2 + 396*p = 0. Calculate p.\nAnswer: -6, 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v**5\/9 - 224*v**4\/9 - 2542*v**3\/9 + 83114*v**2\/9 - 81098*v\/9 + 20102\/9 = 0. What is v?\nAnswer: -19, 1\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 38 = 8. Let i = m + -10. Calculate the remainder when 14 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*o**2)*(-o + 5*o - 5*o)*(-13 - 16 - o + 27).\nAnswer: 2*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 360*w**2 + 1494*w - 1476. What is the derivative of o(x) wrt x?\nAnswer: 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/17)*k*k\/((k\/(k*k\/k**(-1)))\/k))\/(k**(-2)*k**(-2\/11)))\/(k\/k**(-2)*k*k*k\/(k**(4\/9)*k)*k)**25 assuming k is positive.\nAnswer: k**(-221861\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 407 - 394. Suppose -4*f - 46 = -202. Calculate the greatest common divisor of t and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctcc when four letters picked without replacement from {m: 4, c: 3, i: 2, t: 1, o: 6}?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/5)\/((-2)\/5). Does 24 divide 284*d\/4*(-16)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v - 15. Let s be m(-5). Which is the closest to -0.1? (a) 0.5 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyrkyyyyyyryyry. What is prob of sequence ry?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1227*i = 1229*i + 2. Let q(s) = -19*s - 9. Let a be q(i). Solve -15*g = -a*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfc when three letters picked without replacement from ccjmmjffjcjffcf?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 13*k + 40. What is the lowest common multiple of 1498 and y(-15)?\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 131, 245, 355, 461, 563, 661, 755?\n\"Answer: -2*g**2 + 120*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13.9 * -3674.9\nAnswer: -51081.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(1782))\/(-2*(sqrt(8) - sqrt(2)))*6)**2.\nAnswer: 8017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/288*-312*-1.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7228259 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46333 take away 0.5?\nAnswer: -46333.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -200223103?\nAnswer: -200223121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5117.\nAnswer: 7, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315 (base 8) in base 13?\nAnswer: a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2. Let a(d) = -2125*d**2 + 2. What is u(a(l))?\nAnswer: 9031250*l**4 - 17000*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155440, 155441, 155442, 155443?\nAnswer: 155444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -184 (base 12) to base 14\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2))**(6\/11))**36*(j**(1\/2)*j)**(-39)*(j**(-1\/4)*j)**40 assuming j is positive.\nAnswer: j**(-843\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*g + 3248 = 71*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7) + 2 - (0 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 7. Let p be l(-5). Let f be 1\/4 + (-34)\/p. Let x be (36\/(-45))\/(f\/(-10)). Let z(y) = -6*y. Let u(w) = -w. Determine x*z(k) + 14*u(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4310049.1 to the nearest 10000.\nAnswer: 4310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2155*c - 34774 - 6346 - 6290 = 0 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 7*q - 96 - 74, -2*q = -5*d - 67. Is q bigger than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-15)\/(-18))*(-9)\/(-27). Solve 0 = k + t + 5, -5*k - 7 - o = t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*(i\/(i*i\/(i*i\/(i*i*i*i**(-12)))))\/i*i)*i*i\/(i*i*i\/(i*i*i**(2\/13)*i))*i**(-3)*i\/i**12 assuming i is positive.\nAnswer: i**(-297\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46661*x + 3360 = -46781*x for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 750\/56*-685*(-8)\/12. Let b = o - 6113. Let z = 11018 - 110281\/10. Calculate the common denominator of b and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.083 - -0.083. Let h = 24 + u. Let p = h + 6. Which is the smallest value? (a) 4 (b) p (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:42 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7}. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021321 (base 4) to base 16.\nAnswer: 4279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 23 (c) 3 (d) 0.3 (e) -3.106 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2))**(-2\/15) assuming o is positive.\nAnswer: o**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40640 and 1730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 23595 = -42*d. Suppose -3174 = 31*r - 33*r - 5*y, r = y + d. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 + 108 = 5*b. Let s = 50 - 13. What is the remainder when (b\/14)\/(5\/105) is divided by s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + x - 1. Let q(h) = -7*h**3 - 3*h + 2. Calculate q(m) + 3*y(m).\nAnswer: -4*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, l: 4, m: 8}. What is prob of picking 2 l?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (29 - 31 - 6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -70. Which is the second smallest value? (a) x (b) -0.15 (c) -0.3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550453 by 1663.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.13 and -546434.8.\nAnswer: -546439.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d57 (base 15) to base 10.\nAnswer: -13132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3016*i**4 - 3*i**3 + 3*i**2 + 544*i. Let l(m) = 3*m**4 + m**3 - m**2 + m. Let c(y) = 3*l(y) + x(y). Find the second derivative of c(n) wrt n.\nAnswer: 36300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12160 and 177688960?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51778 is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -12 + (11 - ((2 - 12) + 23))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - -9. Suppose -u + 19 = -f. Suppose 103 - 19 = 4*j. What is the remainder when u is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002590031999 to seven decimal places.\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 8 + 1\/3*a**3 + 49\/3*a + 26\/3*a**2 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + 8 - -1 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*x - x = 4, -2*g + x = 1. Let l(c) = 3*c**2 - 2*c**2 + 4*c - 3*c. What are the prime factors of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/4)\/r**(-1\/4) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 2*t**2 - 2*t. What is s(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 1\/24*z**3 - 1\/1680*z**7 + 0*z + 1\/160*z**5 + 0 + 5\/192*z**4 - 14*z**2 - 1\/960*z**6. Factor c(v).\nAnswer: -(v - 2)*(v + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -4. Let p = 36.7 + -36. Let o = 1.7 - p. Which is the third biggest value? (a) 2 (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 - 1 = g, 4*u = -3*g + 3. Sort -5, g, -2 in increasing order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/114 - 1465\/(-19). What is the greatest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, v: 1, q: 1}. What is prob of picking 1 q and 2 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1112150, -2224308, -3336466?\n\"Answer: -1112158*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -19\/3*u**3 + 0*u**2 - 21 + 0*u - 3*u**4. What is the third derivative of y(c) wrt c?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6\/(-4) + -10554*(-28)\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 103*w**3 - 222 + 766*w**2 - 766*w**2 wrt w.\nAnswer: 309*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/5 + 878*b - 662432\/5 = 0. Calculate b.\nAnswer: 163, 2032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2868580 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -2\/11 (c) -1\/26 (d) 2 (e) 1\/3 (f) -173\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:31 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a + 1179 - 939 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63612*x - 88057 wrt x?\nAnswer: -63612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 9) in base 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 4*r - 2, -7*a + 3*r + 12*r - 10*r = -64 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -28*a**3 + 160*a - 9987. Let b(q) = -12*q**3 + 80*q - 4993. Let i(d) = 5*b(d) - 2*z(d). Differentiate i(u) with respect to u.\nAnswer: -12*u**2 + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300003 (base 6) in base 16?\nAnswer: -5b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**3 + 190*h**2 - 185*h = 0.\nAnswer: 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49809218763.69 and 0.03.\nAnswer: 49809218763.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-12.481.\nAnswer: 3.7443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/10 and (35 - 4)\/((-22)\/(-3))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28253688*i**3 + 3803393?\nAnswer: -84761064*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + f. Let g be (-148*11)\/((0 + 1)*-1). Suppose g = 4*m + 4*h, f = 5*m - 3*m + 4*h - 814. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 264 - 262. Solve -28 = 5*k + 2*r, 10 - 2 = -v*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeieeiibedieedede. Give prob of picking 3 e and 1 i.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -977\/2 + 486. Which is the closest to 1\/4? (a) -4 (b) 0.4 (c) l (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/40 and -91\/88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 + 10*f**2 + 15*f**2 in the form v*f**2 + r + t*f and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.009 * 1751.8\nAnswer: -15.7662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87902, -175804, -263706, -351608?\nAnswer: -439510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (809 + 119*l - 809 + 3*l - 4*l + 2*l + (-5*l + 3*l + l)*(3 - 7 + 2) - 2 + 2*l + 2)*(26*l**3 + 2*l**3 - 9*l**3).\nAnswer: 2356*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/30)*v**28\/v*v*v**(-4)\/v*v\/v**(-10) assuming v is positive.\nAnswer: v**(1019\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + -1*(sqrt(242) + 0 - sqrt(242))) + (sqrt(162) - 2*3*sqrt(162) - (3 + -1*sqrt(162) + sqrt(162) + sqrt(162))))**2.\nAnswer: 972*sqrt(2) + 5913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 11 = -4*r, -4*r - 49*y + 52*y = 31 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16602978 and 45065226?\nAnswer: 315456582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 12) to base 3.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/7, -22724, 7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*p = -178 - 1, 102 = 2*h - 3*p. Let k be -1*(3 - 0 - 2). Is (h\/(-12))\/(k\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + x**3 - 2*x + 3*x**4 + (5*x - 2*x - x)*(2*x**3 - 1 + 1).\nAnswer: 7*x**4 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.0527 - -2.2527. What is the fourth smallest value in -1, d, 5\/6, -113?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231.60000695 + 231.6. What is d rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 80 or -57.712?\nAnswer: -57.712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/2 + 6247*d**4\/2 + d**3 - 6247*d**2 - d\/2 + 6247\/2 = 0.\nAnswer: -1, 1, 6247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 43*d - 995. Let a be s(-39). Solve a*c + 88 = 381*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least 25.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 319278895 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let z be w(1). Let t(g) = -z + 3 - g - 6*g**2 - g**3 + 0*g**3. What is t(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96281711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -839*g**4*i + 2*g**3 - 11*g*i + 294738*i wrt g.\nAnswer: -3356*g**3*i + 6*g**2 - 11*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 2*l**2)*(-1 - 2 + 2) - 2*l**2 + 0*l**2 + l**2 + (-8*l**2 - 16*l**2 + 9*l**2)*(-3 - 2 - 2).\nAnswer: 102*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368554 and 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*o = -24, -492*t + 487*t - 5*o = -10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3)*(-4 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2863742 by -409106.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-14) + (-46964)\/5572 - -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 569*y = -570*y - 4, 0 = 4*d - 5*y - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 3, x: 7, d: 1}. Give prob of picking 1 z and 1 x.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -678, -1358, -2038?\n\"Answer: -680*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009894812 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443, 469, 521, 605, 727, 893, 1109, 1381?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29\/223, -2\/13, 0.1, 3397.\nAnswer: -2\/13, 0.1, 29\/223, 3397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73\/6 in 2\/17, -2\/5, 0.002, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -239 (b) 8\/7 (c) -1\/68 (d) -4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*p = -16, 4*b - 7801*p = -7807*p + 48 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeaaeeaaaaadead. Give prob of sequence dade.\nAnswer: 4\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 280\/(-49)*(((-63)\/4)\/((-1128)\/(-3008)))\/2\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, -224136, -3.\nAnswer: -224136, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*y**3 - 1463 + 1463)*(4 + 1 - 4)*(-5*y + 0*y + 4*y)*(-2 - 5 + 3).\nAnswer: 152*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(-5 - (-66)\/(-693)*(-295)\/6)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1996956 and 83\/6110.\nAnswer: 469284660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-5)\/((-50)\/6)*(-125)\/50?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 3*c - 4. Let h be a(5). Find the second derivative of -f + 4*f + 3*f + 0*f + h*f**5 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*d - 4*d. Suppose -u - 3*u = -d. List the prime factors of u\/(-6) - (-22)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 3*i)*(0 - 4 - 3 + (4 + 1 - 3)*(11 + 41 - 32)).\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)\/((-4)\/(-172)). Suppose -2*k = -25 + 15. Suppose -3*w + 2*s = k - m, -2 = 2*s. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let v = l - 0. Suppose -10 = 2*j - 4*s - 28, j + 2*s + 11 = 0. Which is the smallest value? (a) v (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66700000 rounded to the nearest 1000000?\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*1*5 + 1*(-2*sqrt(2448) - sqrt(2448)))**2.\nAnswer: 11492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t - 5. Let w be a(2). Let b(o) = -o**3 + 12*o**2 + 16*o - 29. Give b(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59069871 a multiple of 999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 23 + 7 - (0 + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*q**3 - 1003 + 2*q**3 + 11*q**3 - 121 + 8*q**3 as a*q**3 + b*q**2 + s*q + u and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k - 3*k - 19536 + 19538 + 4*k + 2*k**3 + 1055*k**4 to f*k**4 + s*k**3 + q*k**2 + z*k + m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/13)\/(1\/(-2)*-2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*n**3 - 6*n**3 + 26*n**3)*((-1 + 0 + 0)*(-3 - 2 + 3) - 2 - 3 + 2) to c*n + t + w*n**2 + x*n**3 and give x.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 76\/18 + 20\/(-90). Suppose -5*t + 0*t - 3*b = 0, 0 = 3*t - m*b. Let 0*p**2 - 1\/3*p + t + 1\/3*p**3 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 33*r - 52. What is y(9)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 95259, 95260, 95261, 95262, 95263?\n\"Answer: h + 95258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -474, -2046, -4938, -9372, -15570?\n\"Answer: -37*z**3 - 438*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmqtlkk. What is prob of picking 1 t and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-65 + 38)) + 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 25*g**2 - 18*g - 208. Let h be c(26). Find q such that 3\/8*q**3 - 3\/4*q + h + 3\/8*q**5 - 9\/8*q**4 + 9\/8*q**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:02 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 3\/7 (b) 2\/9 (c) -1\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - w - 3165 = -4*m - 3128, -5*m + 15*w = -263 - 72 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 48?\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11808 divided by -48?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2241.399ml to litres.\nAnswer: 2.241399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1370670 divided by 97905.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 12 = -x, 175*i - 3*x - 14 = -274 - 221 - 231 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/54*(-45)\/(-10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*c, -289*c = -3*t - 291*c + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-272)\/204)\/((132\/18)\/11))\/(-33).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 19826 = -24198. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 208*w - 293815 + 284663 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, b: 2}. What is prob of sequence bii?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-2)\/(-6)*4)\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 4:16 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623575636?\nAnswer: 2, 73, 2135533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 6 (b) -0.081 (c) 11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 109691.\nAnswer: 109685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236 - -268. Suppose 3*m = f - 2411, -30*f + q*f - 2*m = 4806. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 13*r - 5 + 749*r + 4.\nAnswer: 736*r + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - h + 3 = -8, 2*k - 5*h + 19 = 0. Sort 2, 5, k in descending order.\nAnswer: 5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -95. Let o(b) = -14*b + 552. Calculate the remainder when p is divided by o(37).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*t**2 + 0*t**2 + 84*t**2 + 136*t**2)*(2*t**3 - t**3 + t**3).\nAnswer: 352*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (-12376)\/(-289) - 7\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -1612?\nAnswer: -1606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97aa3 (base 12) to base 11.\nAnswer: 127526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**5\/10 - 5*p**4\/12 - 2*p**3\/3 - 5*p**2\/2 - 74*p. Let i(w) = -2*w**3 + 5*w**2 + 3*w + 4. Determine 4*f(n) + 5*i(n).\nAnswer: -2*n**3 + 5*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20211599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16622 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/14 + -565\/7. Let m = a - -83. Let b = m - 45. What is the common denominator of b and 53\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44457 + 44454.7373. Let g = -2.26 - r. What is g rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 336160*l - 1008478\/3.\nAnswer: -2*(l - 504239)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*i**3 - 141*i**3 - 97*i**3.\nAnswer: -143*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyly when four letters picked without replacement from {d: 2, y: 2, c: 5, l: 3}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -l + 3*v, 4*l + 6*v = 3*v - 81. Let b = l + 32. Solve -2*t = 5*y - 19, y = -3*t + 2*y - b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -5*a + 6*k - k, 3*a = -k + 73. Solve 0 = -3*t - w - 17 + 4, -5*t - 4*w - a = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594391 is divided by 11825.\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 1. Suppose f + f + 64 = 0. Let j = f + 33. Let x be v(j). Solve x*g + 5*m + 23 = 0, -3*g + 0*m + 6 = -4*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11703, -2\/5, -5, 0, 0.58, 4?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {h: 2, x: 2, f: 3, e: 6}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 561.9 to the nearest 10.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 59233.6 to the nearest one thousand.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-2 - -480)\/(-2). Let c = a + -124. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*t - 291*t = -525*t + 175 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -22, -16, -8, 2, 14?\n\"Answer: u**2 + u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 (base 8) in base 7?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {b: 5, i: 8, w: 2, u: 2, p: 1}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p + 2208 = 23*p. Let k = 388 + p. What is the lowest common multiple of 3 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 e when three letters picked without replacement from {e: 4, g: 6, f: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4611337.\nAnswer: 73, 181, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*r**3 - 2*r**3 - 3*r**3)*(4 + 0 - 3) + 7*r + 15*r**3 - 7*r)*(-3 - 3 + 7)*(0*r**2 + 0*r**2 + r**2).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o. Let j(l) = l**2 - 635*l. Calculate d(j(s)).\nAnswer: 3*s**2 - 1905*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = -5. Let v be 4\/z - (1 + -4). Suppose 3*x = -2*s + 11, -3*s + s + 12 = v*x. What is the remainder when 7 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.2041113 days?\nAnswer: 293.920272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/540 and 59\/756.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 35, -1\/10, 17?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*k*n*q**2*w + 2*k*n*q*w + k*n*q + 312353*k*q**2 + 1134788*n*q*w - q**2 + 2*q wrt q.\nAnswer: 36*k*n*w + 624706*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, x: 1, y: 3, n: 2, l: 7}. What is prob of picking 1 y, 2 n, and 1 l?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l**3*l)\/l*l))\/l)**(1\/13)*(l**(-2))**(-47))**(-1\/23) assuming l is positive.\nAnswer: l**(-1218\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 210627*g - 210622*g = 7, 2*g = x - 4*g + 39 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.4 - -51.4. Let x = 82 - j. Let r = x - 35.999988. What is r rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*b - 3. Let d(i) = 9*i + 2 + i**2 - 3*i - 5 - 4*i. Is d(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.318227650552 + -1.8?\nAnswer: -78.118227650552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 15*q**3 + 6*q**2 + q - 61. Let p be n(7). Calculate the highest common divisor of 60 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 4*z - 24*z)*(-321*z - 148*z**2 + 321*z) - 3*z**3 + 4*z**3 + z**3 to t*z**3 + s*z + y + n*z**2 and give t.\nAnswer: 2814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/2, 2\/19, 2\/17?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1501\/(-3234) - (-10)\/55 and (4\/(-330))\/(135\/90*4\/(-120)).\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 + 7*d + 4. Let p be m(-2). Let i(w) = -7*w + 15 - 38 + 16 + 12. Let b(t) = -8*t + 6. Give p*i(y) - 5*b(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 0*h**2 + 0*h**2)*(-129*h**2 + 4 - 882*h**2 + 62*h**2).\nAnswer: 949*h**4 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 + -109. What is the highest common divisor of 95 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 + 12*z + 20. What is the remainder when 88 is divided by x(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from uyuyuunuuuiuuuyuuiy.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 228*i - 1321. What is c(6)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 - 2)) + -23 + 8 - -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 x when four letters picked without replacement from xegggxgexg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12*t**2. Let z(w) = -w - 1. Let l(j) = 5 - 1 + 4*j - 6 + 5 + 2. Suppose x = -2*x + 15. Let s(m) = x*z(m) + l(m). Determine s(g(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 24*x**2 + 20*x + 20. Let d be r(23). Let t = d - -61. Suppose -6*j = -3*j + 5*f - 32, -2*j - t = -5*f. Solve w = j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66013 is divided by 641.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 10*r + 3. Let t be p(-10). Solve t*h + 26 = -5*g, 5*g + 11 = 2*h - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 113100 = 2*i, -18*g + 113112 = -14*g + i. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 50. Let z be (-1 - m)*(-30)\/(-45). Solve -u + n = 3, 7*n - z = 2*u + 4*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112, 8, 2241.\nAnswer: -112, 8, 2241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5065 is divided by 389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 724 + 1376. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8784)\/427)\/((-336)\/588)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (633\/(-30))\/(273\/(-42)) + (-12)\/(-78)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2 - 5*m + 5*m + 4*m. Let s(c) = -2*c - 2. Let i be s(-2). Give l(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -16. Let j = -9 - -25. Suppose -4*x + j = -3*x. Solve -x = -2*q - n*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13521*p**2*q*z - 2*p**2*q - 2*p*q*z - 2*p - q*z - 929*q wrt p?\nAnswer: -27042*q*z - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 65. Let q(l) = 2*l**2 - l - 1. Let j(k) = -5*k**3 - 11*k**2 + 5*k - 1. Let b(v) = r*q(v) - j(v). What is the third derivative of b(g) wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p**2. Let f(q) = -9*q**2 + 2. Calculate n(f(o)).\nAnswer: -729*o**4 + 324*o**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39*y**4 - 3459*y**2 - 303*y - 267843641?\nAnswer: 156*y**3 - 6918*y - 303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.386, 863 in ascending order.\nAnswer: 0.386, 10, 863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30456 bigger than 30448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 353\/660 - -3\/440. Let c(w) = w**2 - 16*w - 37. Let m be c(-5). What is the common denominator of (6 - 0)*m\/12 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 9*f**2 - 18*f + 10. Let j be c(-3). Let i = 167 + j. What is the greatest common divisor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13931 is divided by 13919.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13385, 13381, 13375, 13367?\nAnswer: 13357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -26520.3.\nAnswer: -5304.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -25.2.\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -151? (a) 0.04 (b) 102 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219525124?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3076*p + 36930. Calculate n(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = 1. What is the nearest to x in 0.5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146191039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + 1 + sqrt(288) + (-3*3*(sqrt(288) - (0 + sqrt(288) + sqrt(288))))**2 + -4)*-4.\nAnswer: -93296 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 851\/2 + -7663\/18. Let y = -0.02 + -4.98. What is the second smallest value in 0.4, y, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*h - 5*h + 562*h.\nAnswer: 961*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28866 - 1188 + 3219 + 19548)*(-q**3 + q**3 + 2*q**3).\nAnswer: 100890*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -41. Find the second derivative of -9*p + h*p - 13*p - 2*p**2 wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -b?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 62*o - 3. Let j(g) = 51*g - 5. Calculate 6*j(c) - 5*v(c).\nAnswer: -4*c - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 258*r - 7. What is g(16)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (19 - 7)\/4*(-3982)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 37*n + 330. Let s be w(22). Let o(g) be the second derivative of -14*g + 0 + s*g**3 - 1\/4*g**4 + 3\/2*g**2. Factor o(q).\nAnswer: -3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 10:36 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*u - 63 = -95*u. What is the derivative of -7 - 2 + 3 - 6*b - u wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1220905 + -1?\nAnswer: -1220906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 121938.3 and -4.\nAnswer: -487753.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -c + 3. Let n(g) = -120001*g**2 + 3*g - 2. Let w be n(c). What is w rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12599 + -5?\nAnswer: -125a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -312 - -1122. Suppose 566*a + q = 568*a. Calculate the highest common factor of 90 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 40*d**2 + 35*d - 159. Calculate x(-39).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - s + 574 - 237 + 0*s to the form m + g*s and give m.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -164, -330, -496?\n\"Answer: -166*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 21 = -h, -2*v + v - 15 = -5*h. Let d be (-9486)\/(-561) - (-24)\/22. Find the second derivative of h*t**4 + 18*t**4 - 3*t - d*t - t wrt t.\nAnswer: 264*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a**3 - 2917418*a**2 - 91500274 wrt a?\nAnswer: -18*a**2 - 5834836*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -8*g + 4*g - 13, -2*r = -2. Which is the biggest value? (a) -2\/27 (b) g (c) 1\/4 (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 340.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/5 - 67*w + 21006\/5 = 0?\nAnswer: -389, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (30 - 130) + (0 - -14)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 + 272. What are the prime factors of f?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 17, -0.04, 0.02 in increasing order.\nAnswer: -0.04, 0.02, 2\/13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1332271 millennia in centuries?\nAnswer: 1.332271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 2, w: 2, l: 1, t: 3, d: 3}. What is prob of picking 2 w and 2 t?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 3*a - 32, -4*y - a - 106 = 10*y - 4*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5030, 10125, 15390, 20909, 26766, 33045, 39830, 47205?\n\"Answer: 14*b**3 + b**2 + 4994*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 - 9 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-36)*x*x*x*x\/(((x*x**(-13))\/x)\/x)*x**(-2\/3) assuming x is positive.\nAnswer: x**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 12*g + 1. Let c(q) = -3*q**2 - 23*q + 4. Give -c(n) + z(n).\nAnswer: 2*n**2 + 11*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119.14 - -121. Let t = f + 0.14. Let l = 57 - 59. Which is the closest to l? (a) -4\/3 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 113 (b) -0.7002 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.763126kg to micrograms.\nAnswer: 2763126000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x**2 - 2*x**2 - 8*x**2)*(-7 + 5 - 7).\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95099787*c**2*y + 113993779*c*y wrt c.\nAnswer: -190199574*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b + 742. Calculate the least common multiple of l(-67) and 60.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + -1 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 11650433?\nAnswer: 11650433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -11 - -14 - (-1 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((190\/225)\/(-38))\/((-40)\/144).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 14 + 77*o**2 + 4*o + 9*o - 78*o**2. Let h be z(14). What is t in 33*t - 34*t - 1 + h + t**3 + t**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30667 and 364?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 44 = 5*v, -167*v - c + 15 = -165*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.072, 1, 97 in decreasing order.\nAnswer: 97, 1, -0.072, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**2*t*y - f**2*y + 33035*f + 4*t*y - 287*t - y - 1 wrt f?\nAnswer: -2*f*t*y - 2*f*y + 33035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 11. Let i(z) = -z**3 - 6*z**2 + 1. Let a be i(d). Let r = -5\/31 + 97\/217. Is a at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 15*f - 9. Let s be p(6). Suppose -5*t + s = 21. Calculate the highest common factor of t and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160.1 - -160. Which is greater: -100 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m - 1. Let k be q(-1). Suppose 4*n = k*c - 8, 2*c = 5*n - 7 + 2. Solve n*b = -2*v + 4*v + 7, -b - v = 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**8\/42 + u**6\/40 - 23*u**4\/8 + 2*u**2 - 9*u. Find the second derivative of o(s) wrt s.\nAnswer: -160*s**3 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m + 10. Let o(r) = -3*r + 2. Give a(q) + 5*o(q).\nAnswer: -8*q + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2836420247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -499 - -939. What are the prime factors of z?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 43\/6811810?\nAnswer: 43\/6811810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/60 - 11*g**3\/30 + g**2 - g - 41. Factor q(r).\nAnswer: (r - 10)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/672*-8*-11)\/(2\/12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1558*f - 1660*f - 1428 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/3)\/(-2) - -3. Let b(w) = 6481*w**2 - w - 90. Let k be b(r). What is k rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - b = -3*b - 6837, 2*b - 5466 = -4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63a24450 - -4?\nAnswer: -63a24447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 42*t + 6. Let r be y(6). Suppose -83 + r = i. Let g = 166 - 96. What is the greatest common factor of g and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(2\/7)*n)**(-1\/6))**18 assuming n is positive.\nAnswer: n**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a - 3. Let u(q) = -11*q + 7. Let i(v) = 6*u(v) + 14*y(v). Let x(d) = -9*d - 6. Let r(m) = 8*m + 5. Let l(w) = 6*r(w) + 5*x(w). Give i(l(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from temnnrmstnmm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -159, -1, -0.4 in decreasing order.\nAnswer: -0.4, -1, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13844300 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035588 rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -29, -76, -161, -296?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 8 = -w, 0 = -w + 4*w + 5*c + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -365526217 - -3?\nAnswer: -365526214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -12, -24, -36, -48, -60?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 2*m - 6*m**3 - 6*m**3 - 4*m**3 + 3*m**3 + (-4*m**2 + 10*m**2 + m**2)*(0*m - m - m).\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6309221 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) -2 (b) -1\/5008 (c) 0.4 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3227.\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(1 + -3) - 4. Suppose 6 = 2*g - v. Suppose g*o = -o + 84. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6006996 divided by -333722\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35.89 - 35.92. What is the third biggest value in -6.1, 3\/4, -5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 9:47 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from gvuuvzvvuvgug?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/31, -22, 5, -159\/23, -0.3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -331, 73 in decreasing order.\nAnswer: 73, -4, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(252) + 3)**2.\nAnswer: -24*sqrt(7) + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -309204.3 and 281285?\nAnswer: 590489.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7 + (16 - 7)). Which is smaller: o or -4\/43?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/1*(-1)\/5. Let v be 2\/14 - 348\/(-14). Let k be 2\/(-6) + v\/45. Sort d, k, 4 in descending order.\nAnswer: 4, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2. Let x = -130 + 126. Let i(d) = d**2 + 2*d. Let y(h) = 16*h. Let p(f) = x*y(f) + 32*i(f). Determine z(p(q)).\nAnswer: -2048*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*l - 8968, 4*l = -3*r - r + 8928. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 - 7068986.\nAnswer: -7068955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)*w)\/w)\/w**2 assuming w is positive.\nAnswer: w**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2516*n - 2472*n = -352 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7440 and 828?\nAnswer: 513360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -0.2815.\nAnswer: -7, -4, -0.2815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 5*k - 4. Suppose -28 = -5*f - 2*f. Calculate z(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152 + 159. Calculate the greatest common factor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwbbbbbbbwb. What is prob of sequence wbw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 + 444*h + 3159. Determine b(-7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 7. Let m be -7 - (-1 + 3\/(-3)). What is the units digit of u(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1915, 3826, 5737, 7648, 9559?\n\"Answer: 1911*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2. Let q(c) = 718669330*c. Determine a(q(f)).\nAnswer: -516485605882648900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b + 2*b = 32 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 8*g + 17 - 5 + (1 - 1 - g)*(3 - 5 + 3).\nAnswer: 7*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8 and 0.19318347057.\nAnswer: -7.80681652943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -11*f + 3*f. Suppose -3*g + 4*h = -7, -f = -5*g - 4*h - 0. Calculate the remainder when 3 - (2 - 1 - g) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, -0.1, 68, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 21, 0.3, 4, -50?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**3 - 250*s**2 - 158*s + 2016. Calculate h(63).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4011*-37\nAnswer: -148407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*n = -57*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, h: 5, k: 1, f: 5, y: 1}. Give prob of picking 1 h, 1 y, and 1 k.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 15. Let m(v) = v - 2. Let f be m(t). What is the second smallest value in -2, -2\/3, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -55?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 197.2 and 194.\nAnswer: 391.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 119?\nAnswer: 59.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10472\/89012*(-374)\/8\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let x be (-52)\/78 - ((-2)\/3 - 2). Let o(t) be the third derivative of 0*t + 0*t**3 - 3*t**x - 1\/6*t**4 + 0. Give q(o(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*o - 203*o**2 + 36*o)*(-2*o**2 - 3*o**2 + 3*o**2) as c*o**4 + n + y*o**3 + p*o**2 + x*o and give c.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 2*w + 1. Let c be j(3). Is 0 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0462 - -0.3538. Let q = -0.02 + -4.98. What is the closest to -1\/3 in q, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16281, -16246, -16187, -16104?\n\"Answer: 12*m**2 - m - 16292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 204 = 3*c, 3*c - c + 5*q = 115. Let v = 138 - c. Let x = v - 46. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61589207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -281994+4\nAnswer: -281990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-10))\/(14\/105). Let s be 24\/84 + q\/7. Suppose s*i = 2*y - 2*i - 18, 3*y - 2*i = 19. Solve y*h + 7 = -13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 49\/5 of a hour?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 725 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9243.365 hours to minutes.\nAnswer: 554601.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8320)\/42 + (32\/56 - (-2)\/21). Suppose 0 = -5*s + 967 + 18. Let n = s + f. Which is the closest to -2\/3? (a) -4 (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*(-35)\/150*(-6)\/(-56)*12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 17*y**2 + 24*y - 88. Let p be s(-15). What is the third derivative of p*d**5 + 3*d**5 - 20*d**5 - 63*d**2 - 77*d**5 - 130*d**5 wrt d?\nAnswer: -13320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -884, -1332?\nAnswer: -1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 8 - 22 = 0. Let s be (g - (-12)\/(-3))\/(1\/7). Solve 5*c = -4*z - 20, 3*z - 20 = s*z - 5*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/98 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 252*k**2 + 57*k**2 + 893*k**2 + 47*k**2 to the form u*k**2 + a*k + t and give u.\nAnswer: 1249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000449165025 to 7 dps.\nAnswer: -0.0004492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3397 + -20a?\nAnswer: 3188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 0.18?\nAnswer: 3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21209386.45 minus 0.3?\nAnswer: 21209386.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((5 - 10) + 5)*1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:28 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13503 + -13446. Calculate the highest common divisor of d and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82802 is divided by 541.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 1. Let q(z) = 2*z**2 + 12*z + 12. Let m(c) = -4*p(c) + q(c). What is the remainder when m(-8) is divided by (-27)\/((2 - 2) + -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -68895*r + 60. Let v(p) = -9842*p + 9. What is -3*u(i) + 20*v(i)?\nAnswer: 9845*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -71.\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + ((-48)\/(-10))\/(-2 - (8 - 8)). Which is the nearest to 23? (a) v (b) -1\/4 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.088 + 0.012. Which is the closest to 1? (a) f (b) 1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278 by -42.\nAnswer: -139\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 626 (b) 3256 (c) -3 (d) -0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 3*w**2 - 6*w + 12. Let o be u(-6). Let y = -92 + o. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + (36 - 27).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -354*s + 1280. Calculate the remainder when z(3) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -300213 (base 4) to base 5.\nAnswer: -44421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {a: 1, y: 1, r: 1, o: 1, q: 8}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(3\/((-3)\/(-2))). Let l(w) = -4*w + 39. Let u be l(9). Solve z = -2*i - u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 8:29 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:23 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/7, 2\/5, 4, 8.902?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68896.\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16272272 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 3, s: 6, r: 1, o: 4}. What is prob of sequence ss?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 11*b**2 - 7*b - 30. Let n be o(10). Suppose 313*t - 307*t - 66 = n. Solve -t*f + 3 = -8*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2.2, 4, 14?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -87.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + n + 8 - 25 = 0, -47 = -5*s + 3*n. Suppose 0 = c + 3*k - 9, -6*c + c = -4*k - s. Calculate the lowest common multiple of 5 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*a**3 + 8\/7 - 4\/7*a - 20\/7*a**2.\nAnswer: -4*(a + 1)*(a + 2)*(2*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + ((-588)\/32)\/(-7) and 73\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)*y**2*y**2\/y*y*y*(y*y*y**(-11))\/y assuming y is positive.\nAnswer: y**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15995 (base 12) to base 2\nAnswer: 111100001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 41*b + 1. List the prime factors of z(1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 17 = 4*x, 2*x + 6 = 4*n - 10. Solve -x*u = -7*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - m - 21. Let w be j(0). Let x = 21 + w. Find the third derivative of x*c**2 + 2*c**5 - 7*c**2 - c**2 - 5*c**5 wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffffjfjfjf. Give prob of sequence fff.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-252)\/8))\/(((-7560)\/(-147))\/(-20))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.162514491 to 5 decimal places.\nAnswer: -1.16251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16425 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67 - 97525?\nAnswer: -974ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i = 4*n + 33*i + 10, -4*i = 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1144 divided by 13?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -743 from 1083354310.\nAnswer: 1083355053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-7)\/((-14)\/(-4)). Suppose 0 = 2*i + 6, -i + 34 = 5*d + i. Calculate the remainder when (a - -4 - -33) + (0 - 3) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -85. Let j be 392\/(-261) - (-3)\/2. Let r = 26359\/1044 - j. Calculate the common denominator of u and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -5, -4, 4, 0.11, -1613 in decreasing order.\nAnswer: 4, 0.5, 0.11, -4, -5, -1613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.563, -0.05, 0.3 in ascending order.\nAnswer: -1.563, -0.05, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -13) + 1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let s(n) = -11*n + 908*n**2 - 302*n**2 - 306*n**2 - 299*n**2. Determine j(s(z)).\nAnswer: z**2 - 11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16021*-5.\nAnswer: 0.80105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1525569*o**3 + 15975*o**2 + o + 2 wrt o?\nAnswer: 9153414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 3*z - 2. Let c be (-6)\/9*9\/(-2). Is l(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 + -6) - (-21 - -26).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2016*v + 35289*v + 18544*v.\nAnswer: 51817*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.08 + -7.92. Which is the second biggest value? (a) 0 (b) 0.2 (c) 0.3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) + (-10014)\/28. Let d = -358 - u. Let f = d - -32\/21. Is 3 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -43. Suppose 4*n - 18 = f. Let c(b) = 6*b**2 + n*b**2 - 6*b**2. Let t(s) = -2*s**2. Give c(t(d)).\nAnswer: 28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4\/5*w**2 - 4\/5 - 2\/5*w**3 + 2\/5*w = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2200, -4392, -6582, -8770, -10956, -13140?\n\"Answer: x**2 - 2195*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*3*2\/6. Suppose j*a + 5 = 2*k + 3*k, 2*k + 2*a = 10. Suppose 251 = k*b - 286. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 389776778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -449, -450, -451, -452, -453?\n\"Answer: -m - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*d - 61 + 61 - 3*d**2)*(-d + d + d**3).\nAnswer: -3*d**5 + 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7)*112\/(-32). Let w be x*-1*(-10 + 5). Suppose d - 26 = -2*b - 2*b, 2*b + 20 = 5*d. Does d = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 4*l - 5. Suppose -k + 3*r + 24 = 0, r = -5*k + 2*r + 78. Suppose 6*z - 3*z = k. Let j(q) = z - 8 + q + 0 + 4. What is -6*j(o) - m(o)?\nAnswer: -o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51866804.\nAnswer: 2, 11, 41, 28751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -105*n**2 + 62*n + 192. What is o(-3)?\nAnswer: -939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 131 + 44. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000008818115 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 19*j**3 + 3*j**2 - 4*j + 2. Calculate the remainder when 34 is divided by g(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 times -17.7758?\nAnswer: 3697.3664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d - 1. Let j be (-1 - -1)*(-2)\/(-6) - -6. Suppose -j*r = -8*r + 26. Is 29 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -163, -586, -1421, -2806, -4879, -7778?\n\"Answer: -23*o**3 + o**2 + 9*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144 + -223215?\nAnswer: -223041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211031 + 5?\nAnswer: -211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let n(g) = g**3 - 35*g**2. What is 5*l(x) + n(x)?\nAnswer: x**3 - 40*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-7 - (-32 + 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1.379, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3391536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**11*h**(-6)*(h\/h**(-1))**(-7\/3) assuming h is positive.\nAnswer: h**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -303. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (12 - 5) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30624 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 49\/10, -2, -2\/3 in decreasing order.\nAnswer: 49\/10, -0.3, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - -43?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 372 - 216. Calculate the remainder when b is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 5*x + 8 + 21, 0 = y - 3*x - 9. Let j(l) = 1. Let g(v) = -2*v**3 - 2*v + 12. What is y*j(z) - g(z)?\nAnswer: 2*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(24\/10 - 2). Which is smaller: s or -3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-12)\/q*q**15*q*(q\/(q\/(q\/q**(-9))*q))**(1\/8) assuming q is positive.\nAnswer: q**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 1588\/(-100))\/(24\/80)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 b, and 1 h when four letters picked without replacement from bhnnbbbggngnnbbgbbbg?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 1. Let y be x(1). Let c(k) = 63*k - 188. What is the remainder when c(4) is divided by (-2 - y - 3) + 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*b = -17, 12 + 3 = -c + 3*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84668, 83942, 83212, 82478, 81740, 80998, 80252?\nAnswer: 79502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -0.0642?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1332?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -926 + 1480. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a2a0 (base 11) in base 6?\nAnswer: -3041143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9\/4)\/((-6)\/(-496))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24219564 to the nearest integer?\nAnswer: 4921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, 0.01, -13?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, 2993694 in decreasing order.\nAnswer: 2993694, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403 divided by -3288.\nAnswer: -403\/3288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 358000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*v - 76*v + 24*v - 172*v to the form z*v + x and give z.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)\/(27\/(-81)). Let w(c) = 72*c + 15. Is w(l) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (9 + (14 - 21))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*z - 230*z = 82*z + 6*z + 14023 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -k - 27. Let x(m) = 4*m + 14. Calculate x(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12525, -12523, -12519, -12513, -12505?\nAnswer: -12495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -338, 5, -15, 1 in ascending order.\nAnswer: -338, -15, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0252739 to four dps.\nAnswer: 0.0253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**4\/12 - c**3\/6 - c**2\/2 + 160*c. Let j(w) = 6*w**2 - 3. Let k(b) = j(b) + 4*s(b). Give k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**4\/12 + h**3\/2 - h**2. Let a(l) = l - 1. Let n be a(3). Give o(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 3*l + (1 + 0 - 4)*(-l - l - 3*l))*((5 - 1 - 1)*(-l - 2*l + 0*l) + 2*l - l + l).\nAnswer: -98*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001238 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/6*(-7 + 1). Let w(q) be the first derivative of -q - q + u - 6*q**2 + 2*q**2. Differentiate w(p) wrt p.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 26*c**3 - 69*c**2 + 79*c - 36. Let f(h) = 77*h**3 - 208*h**2 + 238*h - 107. Let j(u) = -6*f(u) + 17*w(u). Factor j(i).\nAnswer: -5*(i - 2)*(i - 1)*(4*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 437 + 20*w - 18*w - 754*w**4 + 306*w**4 wrt w?\nAnswer: -5376*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 20, 3*y + 7*b + 290 = -5*y + 2*b + 270 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x\/(x*(x\/(x*x\/x**(1\/3)))\/x))*x)**(-36)*x**(-1\/2)\/(x**(1\/4)*x*x*x))**(10\/7) assuming x is positive.\nAnswer: x**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mummmmu. What is prob of picking 2 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 642*n**2 + 663*n**2 + 651*n**2 - 3235*n**2 + 642*n**2 + 643*n**2.\nAnswer: 6*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - a - 4, -4*h - 2*a - 8 = -6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1063 - 1061.1. Let o = 2 + -4. Let p = w + o. Is p greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r**2 - r)*(0*r**2 + 4*r**2 - 3*r**2) - 2*r**4 + 0*r**4 + 3*r**4 - 3*r**3 - 5*r**3 - 2*r**4 - 5*r**3 + r + r**4 - r.\nAnswer: -2*r**4 - 13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209430931.\nAnswer: 53, 787, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 2*j**3 - 3*j**3 - 2*j**3 - j**3 - j**3 + (1 - 1 + j)*(-j**2 + 2*j**2 - 4*j**2) + (0 - 1 + 0)*(1 + j**3 - 1).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 9*n**2 - 9*n. Let b = 289 - 285. Let p(l) = -l**3 + 4*l**2 - 4*l. Give b*j(c) - 9*p(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113295681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 244*d**3*h + 240*h with respect to d.\nAnswer: 732*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(68))**2 - (-2 + sqrt(833)))*2.\nAnswer: 26*sqrt(17) + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20774 - -20726.508. Let v = b + 47. Let p = -0.5 - v. Round p to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510*o = 535*o - 262225. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10654*f - 6805*f = -4950*f + 12277*f + 1908522 for f.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, -32, 0.5 in ascending order.\nAnswer: -32, -2, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 101596845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 265203194 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6063*x**2 + 1517*x**2 + 1516*x**2 + 1519*x**2 + 301*x**3 - 303*x**3 + 1511*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4756663 to the power of 1\/2, to the nearest integer?\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-15)*(-281 - -282)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.3 (b) -3 (c) -0.3 (d) -3.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160656346 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(7) + sqrt(7) + 0) - (sqrt(175) + 3 + sqrt(175)))**2.\nAnswer: 84*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-4 - -2)*-1. Let g = 16 + h. Suppose 6*j = 9*j + g. Is j bigger than -17\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147 or 12439\/85?\nAnswer: 12439\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 >= -0.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.9 - 15. Let z = -0.08 - 0.12. Let d = z + -2.8. Put d, 1, m in decreasing order.\nAnswer: 1, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46536 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/19*(420\/(-378) + 64\/9).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r - 3. Let y be h(4). Let k be y\/10*(-8)\/6. Let x(c) = -c**3 - 10*c**2 - 26*c - 2. Let s be x(-5). Solve -s*f - k = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570945 is divided by 124?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1490247109.\nAnswer: 13, 114634393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Suppose -4*c - 1 = -3*f + 26, 2*f = c + 18. Solve -4*z - 21 = -y, w*z - y = z - f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - -203028.\nAnswer: 203028.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4012.3 litres to millilitres.\nAnswer: 4012300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-9))\/i**(1\/2))**(2\/33)*(((i\/i**0)\/i)**7)**(-1\/31) assuming i is positive.\nAnswer: i**(7\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 7*p - 4. Let f be g(-5). Is (f + -4)*185\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 8*l**2 + 8*l - 7. Let j be q(-9). Let x(z) = 6*z - 2. Let v be x(j). Solve 0 = -5*p + 3*p - v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 30389823?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107101049 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/16 and 27\/88.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19560 - 19557. Solve -4*u - 5*q = -76 + 88, 0 = x*u - 3*q + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 5. What is the second derivative of -k**5 + d*k**5 - 4*k + 0*k**5 - k**5 wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 13935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5093 and 37.2.\nAnswer: -189459.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6886.660309 to zero decimal places.\nAnswer: -6887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-60)\/(-18) - 2\/6. Let o be -1 + 0 + -2 + p. Suppose o*a = 4*a - 156. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/9 - 526*p**3\/9 - 58*p**2 + 526*p\/9 + 524\/9 = 0.\nAnswer: -262, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b + 6*b - 11*b + 7*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*w, -4*k = -11*w + 6*w - 85. Calculate the lowest common multiple of 230 and k.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(-906)\/(-302)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*w + 202, -44 = -2*g + 2*w + 58. What is the third derivative of g*z**5 - z**3 + 30375 - 30375 - 114*z**2 wrt z?\nAnswer: 2940*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3029 + -2896. Which is the smallest value? (a) v (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -3\/2, 0.09049, 4, -2\/7 in ascending order.\nAnswer: -3\/2, -1, -2\/7, 0.09049, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 9*u + 8. Let f be ((-20)\/7 - -2)*-7. Is z(f) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 4*h - 350, -2*h - 15 = -5*h. Let l = v - -91. Solve -9*o = -4*o + l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13003 - 13981.9. Round d to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 9*g**2 + 17*g + 6. Let b be p(-6). Solve -b = 3*j + 3*t, -4*t + 7*t = 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 23*u**2 + u + 8. Let v be g(8). Let w = v - -460. What is the lowest common multiple of 56 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.1. Let h = -4\/41 + 126\/451. Let o = -88 - -527\/6. Which is the second biggest value? (a) o (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 569*r**2 + 81057*r + 1057. What is y(118)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-4 - -5))*-1. Let z(k) = k**3 + 2*k**2 + k. Let u be z(w). Solve u = -p + 6*p - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1\/37 (c) -287 (d) -7\/27 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 + 0.4. Let i = -778 + 775. What is the third smallest value in -5, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g - 30. Let h(u) = -269*u**2. Calculate h(j(x)).\nAnswer: -2421*x**2 - 48420*x - 242100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1155*c**2 - 6069*c**2 - 7575*c**2.\nAnswer: -12489*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 184241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 2 (c) -0.546 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 2*r**3\/3 - 3*r**2\/2 + 3. Suppose -3*o - 5 - 4 = 0. Is 21 a factor of u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(304) + (1 + sqrt(304))*4 - sqrt(304)) + -3))**2 + -5.\nAnswer: 800*sqrt(19) + 121620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*d + 5249 - 3359 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/6 - 9*d**2 - 5*d - 163. Let l(a) be the first derivative of r(a). Give l(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(8)\/sqrt(36)))\/(sqrt(24)\/(2*sqrt(3)*-4)) + 0.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/4 - (-4)\/16. Let r be 2 - -1 - (-23)\/q. Put 4, 0.6, r in increasing order.\nAnswer: r, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -14 + -15 + 0 + -1 + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -276*f - 49*f + 73*f - 50*f to u*f + m and give u.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 209868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4300 (base 10) in base 9?\nAnswer: -5807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/4 - -1)*-10. Suppose 2*q + 5*d = 5*q - b, 2*d = 4. Suppose -q*c - 2 + 32 = 0. Let k(m) = m - 6. Give k(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 28*q**2 - 33*q - 9. What are the prime factors of i(8)?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3103 rounded to 2 decimal places?\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.2 + 1.2. Let l = g - -13.4. Let o = l - 1.399928. Round o to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4294 and 3610.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571 + 165 + 406 + 16*v**2.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22249512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231042 (base 6) in base 5?\nAnswer: -4110323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - y = -35, t + t + 3*y = 6*t + 81 - 64 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*w + 6*w + 7*w + 11*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:37 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-10)*(-45)\/(-18). Let p be (o + 14 + -2)*2. Solve 3*x + x = 4*w - 24, p = -w - 5*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuuiiuuuuuuuuuuuu.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4\/6 + 67*f**3\/6 + 157*f**2\/6 - 39043*f\/6 + 18998 = 0.\nAnswer: -23, 3, 28, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 24. Let d be ((2 - w) + -1)*-2. Solve -d*c**4 - 32*c - 18 + 14*c**2 + 30 + 10*c**2 = 0 for c.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 30. Determine v(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 448\/12 + (-1)\/3. Let r = f + -9. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1*66\/3. Let o be (-19)\/(-44) + 8\/h. Let n = 0.7 - -0.3. Which is the closest to o? (a) -5 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 + 24*g\/11 + 70\/11.\nAnswer: 2*(g + 5)*(g + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -481\/30 - -4387\/210. What is the common denominator of h and 28\/5275?\nAnswer: 36925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.5326 or 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71424\/9 - (136\/20 + (-2)\/(-10))?\nAnswer: 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 23 + -3 + (3 - -2)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 7:31 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - g - 3*g + g + 4*g + 33 as i*g + b and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*m - 80*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i + 2. Let l = -85 + 90. Suppose l*m = -10*m + 75. Let a(v) = v. What is m*a(z) + t(z)?\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + (4 - 0) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.08 + -0.08. Let k = 10.3 + d. What is k rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*w + 72 - 52*w + 23*w - 8 as h + m*w and give h.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 31*i - 26*i. Calculate the remainder when 100 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*v - 166*v = z + 5, -4*v = -3*z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i**3 - 5*i**3 + i**3)*((0*i + 3*i - 4*i)*(3 - 1 - 1) + 0*i - 6*i + 3*i + 4*i - 5*i - i) to w*i**4 + u + z*i**3 + y*i**2 + s*i and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-7) + 1*(-3)\/(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -626*x**2 - 625*x**2 - 621*x**2 + 1875*x**2. Let y(p) be the first derivative of -35*p**2\/2 + 3. Give y(w(v)).\nAnswer: -105*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 15, -3, 0, 2, 105 in ascending order.\nAnswer: -3, 0, 2, 6, 15, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(14\/280)\/((-2)\/(-5))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -a + 2049 - 2085, -3*y = a - 36. Suppose 2*x = -5*f + 31, 5*x - x - 27 = -3*f. Let m be 4\/(-5)*f\/(-1). Solve -m*s + s = -a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 6. Let v = g - -17. Solve -k + v = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21695483 take away 0.15073?\nAnswer: 21695482.84927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*10\/60*12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388467 to the power of 1\/2, to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.915672278 + 45.084323302. Let f = -49 + a. What is f rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11974 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -7*u**6\/120 - 7*u**4\/8 - 5*u**2. Find the second derivative of w(q) wrt q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 16 = 0, 7 = -3*v + 2*z - 18. Let t = v + 15. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90587 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 783 and 174?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -57 + (-2 - -6) + 34 + -106\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021183209 rounded to 6 dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2546 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 10\/143429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32404 divided by -6?\nAnswer: 16202\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 0*t - 4*t + 4*t - 11927.\nAnswer: t - 11927","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2900 is divided by 693.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3072 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8271 = -3*c, -13*y = -18*y + 3*c + 10338. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) -4 (c) 2 (d) -1\/33 (e) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 17*a. Let b(u) = u**3 - 4*u**2 - 5*u + 2. Let z be b(5). Let s(o) = 3*o**z - 5*o**2 - o**2. What is s(h(g))?\nAnswer: -867*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/528)\/((-12)\/(-40)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883 a factor of 162788467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 6*l - 1. Let y be v(5). Suppose y*f = -4*r, f - 2*r - 2 = 2*f. List the prime factors of (-28)\/(-35)*5\/f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/3427 and 61\/368.\nAnswer: 54832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533*t**2 + 1334*t**2 - 2827*t**2.\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(45\/6))\/1. Let -v*n**5 + 2\/5*n**2 + 0 + 0*n - 2\/5*n**4 + 2\/5*n**3 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/305 and 16\/10221.\nAnswer: 3117405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5397\/2 - -2699. Is y smaller than -3\/136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 87*y + 178. Let o be m(-2). Solve 0 = o*i - 8, 93*i - 91*i = 3*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -123, -157\/136?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313815\/2 or -156908?\nAnswer: -156908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 18*y**2 + 18*y - 21. Give o(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*m**3 + 2*j**3*m**2 + 3639*j**2*m**3*v**3 + j*m**2*v**2 - 7*m*v**3 + 5747*v**3 wrt m?\nAnswer: -6*j**3 + 21834*j**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huuuuhuguu. Give prob of picking 2 h and 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*k**2 + 316*k + 284*k + 255 - 623*k wrt k.\nAnswer: 22*k - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 3:36 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 26 = 260. Calculate the remainder when 77 is divided by 5 + 290\/b + 4\/(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/360 and -83\/30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011000011101011110111 (base 2) to base 12.\nAnswer: -180b133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r - 2 + 2 + 69*r + 3*r**3 - 31*r.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 1 - 15 + 4)*(66*g + 59*g - 121*g - 15).\nAnswer: -4*g**2 - 25*g + 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 435 = 6. Let q = h - 58. What is the greatest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 16*x**2 - 20*x + 14. What is the tens digit of c(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4276430 > -4276434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.5 - 1.5. Let u = -4 + n. Let f = -0.1 + 0. What is the nearest to 0.2 in -4, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + 16*t + 18. Let f be j(9). Suppose f = -88*c + 86*c + 528. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1615091.\nAnswer: 101, 15991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -34, -47, -58, -67?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*y + 28 = 0, -5*r - 140*y - 7 = -139*y. Sort -3, 283, r, 1, -1.\nAnswer: -3, -1, r, 1, 283","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/1260 - r**6\/540 - r**4\/8 - 5*r**2. Let i(z) be the second derivative of s(z). Factor i(j).\nAnswer: 2*j*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/1)\/(4\/(-2292)). Let o = -543 - t. Factor o*i**2 + 21*i**3 + 24\/7 - 156\/7*i.\nAnswer: 3*(i + 2)*(7*i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2398 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 7*h**2 + h - 7. Let z be y(7). Suppose z*b - 4*b = -56. Let l = b - -2. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 1. Let y be 12\/30 - (-18)\/5. Let m(p) = 9767 + 9772 + 3*p + p - 19538. Suppose 0 = 4*g - 3*g - 7. Calculate g*r(k) + y*m(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v - 11*v)*(0*v**4 - 4*v**4 + 18*v**4).\nAnswer: -140*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {z: 5, p: 7}?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3272 - 176701\/54. Calculate the common denominator of i and 149\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 9:57 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 39*z**2 - 93*z - 162. Determine u(0).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*o**2 + 31*o**3 - 14*o**3 + 25*o**2 wrt o.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 10:02 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 0)*(-153*f + 453*f**3 - 451*f**3 - 590*f) as x*f + h + k*f**3 + p*f**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**3*i*j + g**3*i - 2*g**3 - 4*g**2*i - 2*g*i*j + 330*g wrt g.\nAnswer: -30*g*i*j + 6*g*i - 12*g - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.34 + 0.06. What is the smallest value in -1\/7, a, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.001 - 0.101. Put -4, 2\/5, t, -1\/3 in ascending order.\nAnswer: -4, -1\/3, t, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 4*k**2 - 7*k - 5. Let p be o(-4). Suppose 2*x = -3*x - 80. Let s = x + p. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chbxlehcl. What is prob of sequence ch?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -724? (a) -0.5 (b) 4 (c) 2 (d) 0 (e) 68 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = d - 20, 3*d = 5*s + 8*d. Let h be (0 - 1)\/(0 - s\/75). Suppose 0 = 16*f - h*f - 28. Calculate the remainder when 111 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318231084?\nAnswer: 2, 3, 26519257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 31, -4, 1 in increasing order.\nAnswer: -4, -1, 1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**3 + 30296125*p**2 + 60592230*p = 0.\nAnswer: -6059223, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5685*b - 3*a + 67 = 5690*b, 120 = 10*b + 5*a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 7316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221242 is divided by 697.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 + 68*a**4 + 619*a**3 - 818*a**2 - 1368*a = 0 for a.\nAnswer: -9, -1, 0, 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m + 14*m = 5*m - 60 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/6)\/c**(-4))\/(c*c\/(c\/(c*c*c\/(c\/c**(2\/3)))))**(4\/15))\/((c*c**(-4)*c*(((c**(4\/9)*c)\/c)\/c)\/c*c)\/(c**(-2\/5)\/c)**(-12)) assuming c is positive.\nAnswer: c**(1999\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*490\/(-400) - (-1 - 4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139)\/(-695)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2278 and 6.\nAnswer: -13668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**6*h*h**(-1\/6))\/(h**(1\/3)*(h*h**(-1\/12))\/h) assuming h is positive.\nAnswer: h**(91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.98 - -0.02. Let h = 444 - 449. Which is the third smallest value? (a) h (b) 0.2 (c) i (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 729 = -5*j + 2*a, 0 = -2*j + 4*a + 300. Let y = j + -51. Suppose b = -5*p + 4*b + y, 4*b - 68 = -4*p. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34020 and 114100.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -933558*m. Let n(s) = -6*s**2. Give n(a(h)).\nAnswer: -5229183236184*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*l + 16935*l**4 + 1 - 8465*l**4 - 8474*l**4 + 17*l**2 to g*l**2 + x*l**3 + v + b*l + i*l**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - q - 1. Let v(f) = 5*f**2 + 19*f + 2. Let j(z) = -2*l(z) - v(z). Let s be j(-5). What is the remainder when 43 is divided by 0 + 1 - (s - 20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 + 4 = 0. Let x = c - 0. Let h(v) = -6*v. Let q be h(x). What is the greatest common factor of 36 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2abf (base 16) in base 4?\nAnswer: 2222333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468989884?\nAnswer: 2, 11, 10658861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/5)\/(6\/384*24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037565053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 420 = -22*y. What is the remainder when 93 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/4)*w)**22*(w*w**2*w)\/(w*w*w\/(w*w**4)) assuming w is positive.\nAnswer: w**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -9*s + 4*s, -t - s = 19. Let o = t - -35. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -79. Suppose 3*p + j - 2*j = y, 3*j - 12 = -4*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 35 + 125 = -5*w, -22 = -g - w. Suppose -4*j - t + 485 + 236 = 0, -3*j + 3*t + 537 = 0. What is the highest common factor of j and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12599999*x - 1. Let b(v) = v**3 - 4*v**2 + 2*v - 5. Let k be b(4). Suppose k*f = -2 - 1. Let s be o(f). What is s rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 461, 290, 1.\nAnswer: 1, 290, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Solve 0 = 4*g + 3 + n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 630*y**4 + 52730*y**3 + 650730*y**2 + 2366468*y + 1767840 = 0.\nAnswer: -174, -127, -8, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:20 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16964844 by -6.\nAnswer: 2827474","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Work out -12206 * 30.21.\nAnswer: -368743.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235 - -425. Suppose 0 = -c - 2 + 1. Is p + -3 + -1 - c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 13. Calculate the remainder when ((-60)\/(-70))\/((-8)\/(-112)) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*r = -4*s + 39, -s + 10 = -r. Let m = s + -7. Solve p - 2*p + m = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**2 - 66 - 3*b**2 - 5. Let l(q) = 3*q**2 + 35. Let k(u) = 5*l(u) + 2*r(u). Is k(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 4, r: 2}. Give prob of sequence wri.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/702825?\nAnswer: 1\/702825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 78*y**2 - 656*y - 1632.\nAnswer: -(y - 68)*(y - 12)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**2 + 5*u - 17. Let x(r) = 11*r**2 - 8*r - 6*r**2 - 1 - 4*r**2. Let a be x(7). Is v(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 11*l**2 + 10*l + 29. Let k be f(12). Find v, given that 15*v**3 + 32 + 10*v**3 - 64*v - k*v**3 - 34*v**4 + 6*v**5 + 36*v**3 = 0.\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 1050 = -z - 1047, 6*z - k = -16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:59 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2544610 (base 7) to base 6\nAnswer: 11030334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 116, 162?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - 18 - -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58194.\nAnswer: 2, 3, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 234673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17*i**3 - 11*i**2 - 11*i - 11. Let p(b) = -9*b**3 + 6*b**2 + 6*b + 6. Let o(d) = -2*d - 16. Let l be o(-5). Determine l*m(c) - 11*p(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11358, 22714, 34070, 45426?\nAnswer: 56782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-12))\/(3\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -5, -642, 3, 170?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and ((-5)\/5)\/(-2)*(2 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 32*f + 21*f + 13*f - 6 = 0, 0 = 5*l + 4*f - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*k - 18*k = -195. Sort k, -2, -165 in descending order.\nAnswer: k, -2, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15025?\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1359127 and 8547.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 6 - 2*d**2 + 9*d**2 - 6*d - d. Suppose 18*v + 27 = -117. Calculate x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1384829.779 rounded to the nearest 100?\nAnswer: -1384800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**2 - 3*o - 2. Let a(f) = -8*f**2 - 4*f - 3. Calculate 4*a(v) - 5*k(v).\nAnswer: 13*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 - 114\/42.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40726 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*s**2 + 4207*s - 4207*s + 167*s**2.\nAnswer: 331*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 3*k - 350 = 0. Differentiate 17*f + 56 + 18*f - k wrt f.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823 is divided by 114.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 4. Let o(s) = -2*s - 8. Let r be o(-6). Let k be x(r). Let v(a) be the third derivative of a**5\/60 - a**4\/24 - a**3 - a**2. Determine v(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55 + 55 - 37*p**2 + p**2 + 2*p - 2*p + (2 - 2 - 2*p)*(-p + 0 + 0).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96161620 and 57523.\nAnswer: 3942626420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*a - 84 - 136, -a + 65 = 5*q. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (166\/(-12))\/1 - (-5)\/(-30). Let c(l) = -23*l - 32. Let z be c(f). What is the highest common divisor of 29 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 17640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -104 or -105?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5 + 5. Let v be (-8 + 20\/m)*-11. Suppose 105 = 5*w + 3*a - 6*a, w + 4*a = v. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/35? (a) -0.1 (b) 0 (c) -55 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229 + 229.2. What is the nearest to 2 in -153, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2. Let x(r) = 42*r**2 + 6*r + 5. Let z(c) = -c**2 + c + 1. Let s(f) = x(f) - 5*z(f). Give s(y(p)).\nAnswer: 752*p**4 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -241.38 + 241.57994. Let b = 4 + -3.8. Let w = b - n. What is w rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 4*y - 51, 4*q + 141 = -3*y + 181 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5157 divided by 9.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*h - 0*h. Let a(x) = -4*x**2 - 5*x - 1. Let l be a(h). Let c = 90 + l. Solve -3*r - c - 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v. Suppose -2*f = v, -3*i - 2 = -4*i - 2*f. Suppose -i*z - 17 = -3*z. What is the remainder when z is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 16*w = 8941. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 2890734.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - 5*k**2 + 13039*k**3 - 13046*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1072, 1075, 1088, 1117, 1168?\nAnswer: 1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 14*j**2 + 3*j - 31. Give u(-14).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/7))**(1\/42)*o**(-9)*o*o\/(o\/(o**(-33)\/o*o)*o) assuming o is positive.\nAnswer: o**(-12349\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Suppose -11*n = -n + 230. Let y = -18 - n. Let p(o) = 2*o**2 + 2*o + 1. Let d(j) = y*t(j) - p(j). Determine g, given that d(g) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 10 = -14*w. Let i be 1 - (w + -3 + -244). Suppose i + 197 = a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0065867 rounded to 4 dps?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -41*s**2 + 1. Give d(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.085979 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -751 - -612?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 40. Let s(r) = -4. Let n(t) = -20*s(t) + 2*z(t). Let f(o) = -549*o. Calculate n(f(l)).\nAnswer: -2196*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/7)\/((-6)\/42). Let q(b) = -6 + v + b + 4. Let c(a) be the second derivative of -5*a**4\/12 + a. What is c(q(r))?\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j + 108. Let q be c(12). Is (q + 1 + -83)\/(34\/(-2941)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 283*q - 1 + 0 + 0. Let u(x) = -195*x + 189. Let o(b) = 28*b - 27. Let z(a) = 7*o(a) + u(a). What is y(z(n))?\nAnswer: 283*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6568 - -13230. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 12*m**2 - 46*m - 14. Let z be t(-15). Let p be ((-40)\/(-120))\/(z*(-1)\/(-21)). Let r(k) = k**2 - 6*k - 2. What is r(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 17*r - 7582. Let q be s(-79). Put 0, -3, -116, q in descending order.\nAnswer: q, 0, -3, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 857\/8 - 107. Let y be 26*(-4)\/(8 - 4). Let v be ((-60)\/y)\/2 - 1. Put -4, l, v in descending order.\nAnswer: v, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*b + 46*b + 35934*b**2 + 44*b - 9864*b**2 as k + w*b**2 + p*b and give w.\nAnswer: 26070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*b**2*g**5 - b**2 - 2*b*g**3 - 17*b + 2*g + 1 wrt g.\nAnswer: -720*b**2*g**3 - 12*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 - 1)*(2 + 2*u - 2) + 2*u + 2*u - 5*u)*(-4 + 2 + 0) to the form n + l*u and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o**5 + 18430568*o**2 + 130078899*o wrt o.\nAnswer: -120*o**3 + 36861136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -18. Calculate the greatest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088330 rounded to the nearest 10000?\nAnswer: 5090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 8 - 5 - 9 - 1 + (-1 + 3 - 1)*(-1 + 0 + 2) - 2 + 1 - 1 + 3 + 1 - 2 + 3 - 3 + 2)*(-10*h**4 + 0*h + 0*h)*(-2 + 1 + 0).\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4510 is divided by 215.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -5, 70, 1.7?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120*z**2 - 108*z - 4\/3*z**5 + 44\/3*z**4 - 184\/3*z**3 + 36.\nAnswer: -4*(z - 3)**3*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9372 - 0.0072. Let w = 0.07 + i. Let j = -8.8 + 8.3. Which is the smallest value? (a) j (b) w (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -4*o - 3*k, -1961*o + 1959*o = -3*k + 47 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636 a factor of 52330732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/4, -0.2, 483 in increasing order.\nAnswer: -4, -0.2, 3\/4, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 + 0*j + 7*j - 6*j + 4 + 3*j. Let p(a) = -5*a**2 - 5*a - 5. Let t(k) = 4*p(k) + 5*q(k). Let v(l) = -2*l**2 + 0*l**2 + l**2. Determine t(v(z)).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + -3 + 3) - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(20\/(-12) + 1). Suppose 0 = -c - 3 + 2. Let k = y - c. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 309*s**2 + s - 2. Let v be o(-2). Let f = -534 + v. Suppose 3*q - 2909 + f = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -414 + 425. What is the first derivative of 17*u**4 - 5*u**4 + 1 + s*u**4 - 8 - 3 wrt u?\nAnswer: 92*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5809.992 + 5777. Let u = -79 + 46. Let k = u - v. What is k rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82957 is divided by 55.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 90. Let j be (-1 + l + -5)*3. Solve -9 = -j*p - 0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*y - y + 5*o, -43 = -2*y + o. What is the second derivative of y*d**4 - 30*d**4 + 37*d + 50*d**4 wrt d?\nAnswer: 504*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 8529*o**2 + 4433*o - 4433*o to y + x*o + l*o**2 and give l.\nAnswer: -8529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-288)\/27)\/(-32))\/((-2)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 + (-3)\/6*5114. Let k = 8753 + g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 2:26 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 24124810.06 to the nearest one hundred thousand.\nAnswer: 24100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 1 (c) 0.1 (d) 1\/6 (e) 0.395 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -140. Let v = l + 171. Suppose 0 = -t + 4 + 91. Calculate the remainder when t is divided by v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-5)\/g*g)*g*g**24*g*(g\/((g*g**(4\/5))\/g))\/(g**25*g))**(-28) assuming g is positive.\nAnswer: g**(-868\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from wuwuwwwyuggywygugy.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4717\/(-8099) - (-8)\/52. Which is the second smallest value? (a) 92 (b) 3 (c) 4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**2 + 6*p**2 + 4*p**2 + (5 - 2 - 1)*(p**2 + 3*p**2 - 5*p**2) + 2*p - p**2 - 2*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11616?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*r + 114 = 89*r. Let l be 95\/r - 2\/3. Solve 3*q = l + 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 13*v - 1684. What is i(-48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3894300762 to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sswsssjsoosoooojooo. What is prob of sequence js?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**2 + 5*j + 8. Let k(u) = -u**2 - u - 1. Let s(t) = 6*k(t) + n(t). Let h(d) = -37*d + 39. Let v be h(1). What are the prime factors of s(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 divided by 5?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5915\/31941*(-78)\/10\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518635 times -5?\nAnswer: -17593175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = g - 2*g + 3, -2*o - 6 = -2*g for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/(((r\/r**(-1\/8)*r)\/r)\/r))**(-2\/29)*(r*r\/(r\/(r\/(r\/r**(-1\/2))*r)))**(-1)*(r\/(r*r*r*r**(-5))*r)\/r**3 assuming r is positive.\nAnswer: r**(-49\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3127569 is divided by 2278?\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/16)\/((-106)\/(-848)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by -13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76038.\nAnswer: 2, 3, 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -9. Let b be k\/(2\/3 + -1). Suppose 1 = 3*u - 2*u, 5*u + b = m. Calculate the least common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 + 8\/(-16)*-4*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10995469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1640 - 4?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 1480.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ooooooooyyoyoooyyo.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 5, -5, -1, 6.\nAnswer: -5, -1, 3, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 13) to base 8\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 2605 = -30*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9527, 43529, 100213, 179591, 281675, 406477, 554009, 724283?\nAnswer: 917311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 12:55 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248201*h**3 + 130075*h**3 - 3 + 3.\nAnswer: 378276*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -17*d**3 - 9*d**2 + 2*d + 4. Let b(u) = -10*u**3 - 4*u**2 + u. What is -5*b(s) + 3*p(s)?\nAnswer: -s**3 - 7*s**2 + s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3248 from -5.\nAnswer: 3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 521*r - 140. Let p(b) = -4*b. Give o(p(j)).\nAnswer: -2084*j - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301716 >= 3301704?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-3)\/(9\/30). Let r be j\/(-28) + (-1)\/4. Solve 4*k + 3*d = -r*k - 17, -4*d = 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71705473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 272 - 140. Suppose 2*p - 16 - 8 = 0. Calculate the highest common divisor of p and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z**3 - 40*z**3 - 22*z**3 + 86*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 232 divided by 97\nAnswer: 232\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4064 + -4052. Calculate the lowest common multiple of 15 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38308 and 3540.\nAnswer: 33902580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2. Let y(t) be the second derivative of -1 - 10*t + 0*t**3 + 0*t**2 - 1\/6*t**4. Give y(j(q)).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58644*x**3 - 141659*x**3 - 55545*x**3 - 107332*x**3.\nAnswer: -245892*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3996 and 10041282.\nAnswer: 60247692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 8*u - 4. Give y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {j: 6, d: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 24 = -5*m, 0 = -2*m + m - h. Let q(w) = 2*w + 1. Let j be q(1). What is the greatest common divisor of j and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 2*l**2 - 6*l + 27. Let q be j(3). Is -0.1 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -22. Solve b + 4*f = -f + 19, -v*b + 15 = 5*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3190 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 250\/7 - 4\/(-14).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351046.\nAnswer: 2, 175523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/22 + 2 - 6464\/(-22). Let k = -129 + p. What are the prime factors of k?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f. Let b(n) be the first derivative of n**6\/360 + 4*n**3\/3 - 5. Let m(g) be the third derivative of b(g). Calculate m(w(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 120*j = 118*j - 2, 4*a - 5*j = 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 a factor of 2387516625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000113932 rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d - d**4 - 11*d**2 + 31*d**2 - 17*d**2.\nAnswer: -d*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69296, -69650, -70004, -70358, -70712, -71066?\nAnswer: -71420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*m**2 - 11*m**2 + 11*m**2)*(-3*m + m + 0*m + 2*m**2 + m**2 - 2*m + 2*m + 3*m**2 - 4*m**2 + 0*m**2 + (-1 + 1 - 2*m)*(1 + 2*m - 1)).\nAnswer: 38*m**4 + 38*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 5 = 2*j. Suppose 0 = -4*g - 0*g + 44. Calculate the remainder when g is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353561174 divided by -1125991\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -1)*(-5)\/45. Let o be 5 + (-1 - 2) - 12\/5. What is the smallest value in o, r, -0.2, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -1 - (-10 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 5:59 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:46 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256 - -257. Let d be (-39)\/(-9)*27\/(l + 2). What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 715 and 2587?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -989, -2223, -3865, -6113, -9165, -13219, -18473, -25125?\n\"Answer: -33*b**3 - 6*b**2 - 985*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0\/p)**(-11)\/(p**(-5)*(p**4\/p)\/p))\/(((p\/p**(2\/13)*p*p)\/(p*p*((p**(-2\/9)\/p)\/p)\/p*p))\/((p*p*p**1*p)\/p*p)**29) assuming p is positive.\nAnswer: p**(14851\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:40 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1\/20))*u*(u*u**(2\/43)\/u)\/u)**(-29) assuming u is positive.\nAnswer: u**(87\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1026 + -1091.1. Let w = p - -65. Which is the nearest to w? (a) -4 (b) -0.05 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 292 - 160. Let k be 8\/l*-1*3. Is 1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4945751 to two dps.\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 134*a - 3*a)*(-6*a + a + 4*a).\nAnswer: 136*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 124. Suppose -25*x = -s*x + 28000. What is x rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 28*x - 12. Let r(c) = -2*c**2 + 9*c + 4. Let g(i) = 8*r(i) + 3*z(i). Suppose -4*o = -t + 47, 2*t + 72 = -4*o + 34. Calculate g(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408 and 1931710?\nAnswer: 23180520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + z + 14 - 5*z.\nAnswer: -2*z + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 78 = -5*p, 0*p = 3*p - 3*j - 63. Suppose -2*v - z + p - 8 = 0, 2*z - 25 = -5*v. Solve -4*a + v = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55038?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w**3 - 27*w**2 + 112*w + 756. Calculate l(-8).\nAnswer: 1716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 3. Let g be d(-8). Suppose -4*b = -4*a + 32400000, -5*a + 9*b = g*b - 40500000. Round a to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 25*t**2 + 42*t - 74. Suppose 2*p - 59 = 3*o, 5*p - 16 = -o - 64. Let a be m(o). Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 444 - 302. Let h = c - 230. What are the prime factors of h?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1970524030 - 17577\nAnswer: -1970541607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-264)*3\/3.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1164*i*j**3 + i*j**2 + 12*j**2 - 9 wrt j.\nAnswer: 6984*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.196 * -3878018.\nAnswer: -760091.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, b: 1, z: 1, g: 3, o: 12, f: 2}. What is prob of sequence wfb?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9643478.832 plus 92723?\nAnswer: -9550755.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.765 - 0.135. Let v = b - -42. Let g = 0.1 - v. What is the biggest value in -0.5, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1592 by -32.\nAnswer: 199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.11 plus -13612029.497?\nAnswer: -13612075.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 78.636 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -748*x. Let a(u) = 421511*u**2. Calculate c(a(q)).\nAnswer: -315290228*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.831 - -1.831. Let i = -0.21 - -0.11. What is the closest to v in -2\/3, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229 - -518. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3066909 is divided by 948.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3858350 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/19 - 5084*r**3\/19 - 10174*r**2\/19 - 5088*r\/19 = 0. Calculate r.\nAnswer: -1, 0, 2544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 160, -3, 4.\nAnswer: -3, 1, 2, 4, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2774, -5192, -7610, -10028?\nAnswer: -12446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 8145614 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 3*m = -50. Let j(n) = n**3 + 17*n**2 + 70*n + 3. Let v be (-4)\/(-6)*(0 + -3 - 12). Calculate the smallest common multiple of j(v) and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -682 (b) -4 (c) 30.6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0 + 8. Find the first derivative of -8*s**3 + 0*s**a + 0*s**2 - 256 + 263 wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 6*j + 2. Let k be q(6). Let p(o) = -4*o**2 + 0*o**k + 5*o**2. Let m(z) be the first derivative of -3*z**2\/2 + 17. Calculate p(m(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*m**2*o**5 + 4*m**2*o**2 - 3*m**2*o - 4*m**2 wrt o.\nAnswer: -11220*m**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 20450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.84 * 42045.\nAnswer: -35317.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*d + 11*d - 40*d - 37*d to the form h*d + j and give h.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*i**3 + 2 + 158*i**2 + 163*i**2 - 321*i**2.\nAnswer: -400*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756789135*q**5\/7 - 1700912792*q**4 + 2300155349*q**3 - 3439841784*q**2\/7 + 1933292*q\/7 - 272\/7 = 0 for q.\nAnswer: -17, 2\/7103, 4\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 959*m - 3680. Determine u(4).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-12))\/(8\/(-120))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:25 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/((q\/(q\/q**(-1\/4)))\/q*q)))\/(q\/q**(2\/7)*q))\/((q*q*q*q*q**(-18)*q)\/q**(-13)) assuming q is positive.\nAnswer: q**(-83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 139064, 139078, 139102, 139136, 139180, 139234, 139298?\n\"Answer: 5*g**2 - g + 139060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 453*n - 5556. What is f(12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -2672181?\nAnswer: 2672180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -616 + 654. Let z(q) = -31*q - 25. Let y be z(-10). Calculate the highest common divisor of h and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -22) + (33 - -7) + -92?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 3830820824776?\nAnswer: 3830820824775.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -65124*p**2 + 3*p - 3*p**3 + 65138*p**2 + 0*p + 11 + 3*p**3 - p**3. Determine n(14).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146199165 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 - -164. Solve -2*d = -r*d - 2*f - 2, 2*d + 5*f - 16 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 44 + -30 + 24 - (-4 + 19).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 15. Let w be (o\/(-9) + -1)\/((-2)\/(-57)). Suppose -3*t + 8 = -3*u - w, 4*t - 71 = -3*u. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69881012?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 - 57. Suppose 0 = 5*o - 3*c + 71, -4*o - k = 4*c - 3. Let h = 26 + o. Solve -4*b + 2*b + 13 = -3*n, 5*b - h = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618647983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*o + 1673 = 1353 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/12 - 3*q**2\/2 + q. Let r(f) = -2*f**2 + 4. Let g = 129 - 133. What is g*i(y) - 3*r(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 31, 1\/9, 3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70334640 and 70334640.\nAnswer: 70334640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1056, 1055, 1056, 1059, 1064?\n\"Answer: a**2 - 4*a + 1059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 9*a - 15. Let m be x(-7). Let i = -128 - m. Let n(y) = -y**2. Let g(p) = -5*p**2 + 1. Calculate i*g(o) + 6*n(o).\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 9. Let b = w - 6. Solve 6*x - b*x = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, 0.09, -0.8, -0.3, -1\/6?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imy when three letters picked without replacement from {y: 2, m: 8, i: 2, b: 3, u: 2}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -328199, -327682, -327165, -326648, -326131?\n\"Answer: 517*u - 328716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/42*28)\/(24\/(-9))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:56 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.2 (c) -2\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/12 - 10*u**3\/3 + 29*u**2\/2 + 11187*u. Determine n(20).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 - p - 2. Let t(c) = 6*c**2 + 2*c + 2. Let o(l) = 5*f(l) + 4*t(l). Let s be o(3). Let i(y) = -y - 4. Let x(r) = -3. What is s*i(d) + 3*x(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8535.371ml in litres?\nAnswer: 8.535371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 111667438 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 21*d**3\/2 - 20*d. Let b(n) = -n**2. Give g(b(w)).\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 - -104. Let a(k) = k + 1. Let d(b) = 6*b + 2. Give i*a(p) - d(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 + u**3 + u**2\/3 - u - 2\/3.\nAnswer: (u - 1)*(u + 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -300.3, -2, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215239677 is divided by 432?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/64 and 61\/119396?\nAnswer: 1910336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -73*(1 + -1 + 3). Let h(b) = 3*b**2 + 3*b - 5. Calculate the remainder when 2 + 3\/((-9)\/r) is divided by h(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6580*l - 6151. Is t(38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1 times -2?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -122 - 2 - (-3629 + 3577)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 59?\nAnswer: 17\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 8 - 3*k)*(-9 + 7 - 8) + k + 0 + 0 + 2*k + 0 + 0 + (k - 4*k + 4*k)*(-2 + 2 + 2) + (4 - 1 - 5)*(-5*k + 3*k - k) to m*k + z and give m.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1037 or -1038?\nAnswer: -1038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*o**4\/3 - 1236844*o**3 - 242960*o**2\/3 + 1236844*o + 242746\/3 = 0. What is o?\nAnswer: -1, -7\/107, 1, 17339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007314222 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2746656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + 4*h**2 + 5*h - 2*h + 4*h**2 - 3*h**2 + h**2 + (-h + h - h)*(3*h - h - 3*h).\nAnswer: 7*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, m: 10}. What is prob of sequence bb?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119863 is divided by 125.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - ((-2)\/6 + 3). Which is the third smallest value? (a) 5 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 2*g + 17. Let h be k(-5). Solve -h*v = 2*m - 10, -v - m - 20 = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*((f*f**(1\/5)\/f*f)\/f)\/f*f)\/f)\/(f*f\/(f*f**(1\/11))*f*f))\/(f*((f*f\/(f*f**(1\/3)))\/f)\/f*f*f*f*f**7) assuming f is positive.\nAnswer: f**(-2042\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3105 and 759?\nAnswer: 34155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*j**2 - 148*j**2 + 3*j**3 + 75*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**5*u - 17359194*p**3*u**3 + 7970371*p*u**3 + 7*p*u wrt p.\nAnswer: -80*p**3*u - 104155164*p*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 1:16 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbsoovbkbpbpkko. Give prob of sequence bsb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:41 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 9*c - 6. Let b be f(8). Let j(u) = -2*u - u + u**b + 1 + u + u**2. Let n(g) = -g**3 - 3*g**2 + 3*g - 1. Determine -3*j(h) - 2*n(h).\nAnswer: 2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(5\/6)*b)\/b)\/(b\/b**(-15))*b**(11\/5)\/(b*b**(1\/56)\/b*b) assuming b is positive.\nAnswer: b**(-10907\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 9 (c) -2\/9 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n*n*n**0)\/n)**(-29)\/(n**(1\/3)*n*(n**(-5\/6)\/n)\/n))**30 assuming n is positive.\nAnswer: n**(-2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3746894359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 52*c**2 - 4*c - 2. Let y be l(1). Suppose -6*h + 4*h = -20. Let i be y\/10 - 6\/h. What is the third smallest value in i, 0, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2 - 15*v - 7. Let x(c) = 2*c**2 - 8*c - 4. Suppose -20 = 5*h + z + 7, -4*h - 4*z = 12. Determine h*d(i) + 11*x(i).\nAnswer: -2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70547 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**4*r)\/(r\/(r*r**(1\/6)*r)))**36*(r\/(r*r**1*r*r))**6\/((r**(5\/2)*r)\/(r*r**(2\/13)\/r*r*r)) assuming r is positive.\nAnswer: r**(-1283\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(-6*(sqrt(176) - (-2 + sqrt(176))) + sqrt(176) + -5*(sqrt(176)*-1 + sqrt(176)) + sqrt(176))*5*1)**2 + 3.\nAnswer: -19200*sqrt(11) + 84803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from {x: 1, m: 1, l: 3, b: 2, r: 1, q: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**3 + 1. Suppose 0*x + 2 = 2*x, j - 4*x + 7 = 0. Let k be (40\/30)\/((-4)\/j). Give u(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 - 3*n**2 + 1. Let f be d(-2). Suppose f*i = 20*i. Solve -5*c - 17 = 2*z, i = 3*z - 8*z - 2*c + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q + 27*q = 40 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 57 = -153. Let b be 49*(-2 - 2\/(-2)). Let a = n - b. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (8 + -12 + 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*l - 17, -81*m + 3*l - 24 = -78*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1\/5 (c) -117 (d) -110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/((-2)\/12). Let u(a) = -a**2 - 4 + 2 + 3*a - 2*a**2 + a**3. Let g be u(h). Solve 0*y - 3*w - 15 = -y, g = y + 4*w + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95128295898 + 0.5\nAnswer: 95128295898.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/2 + 4*y**3\/3 - 10*y**2 - 4*y + 8235. Let d(i) = -2*i**3 + 3*i**2 - 19*i - 3. What is 4*d(j) - 3*w(j)?\nAnswer: -2*j**3 - 16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 4\/3 (b) -39\/7 (c) 2\/13 (d) -0.01 (e) 0.095\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h. Suppose -6 + 32 = 26*b - 39*b. Let f(j) = 4 + 12*j - 1 + 1. Let w(s) = b*n(s) - f(s). What is the first derivative of w(l) wrt l?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35004 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52036 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*g + 88, -3*g + 78 = 4*k + 9. Suppose -122*m = -135*m + 338. Solve m*d = k*d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -25*w + 13. Let v be 8\/12*6 + -16 + -2. List the prime factors of d(v).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 339.99999732 + -340. Round u to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 3. Let t be (9 + (1 - 0))*5\/(-10). What is the nearest to 0 in -0.1, t, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 40 + 45 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiiiiwwwiviwwjv. What is prob of sequence iiew?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 f, and 1 r when four letters picked without replacement from {y: 1, n: 2, a: 2, r: 10, f: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6098021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000152011 rounded to 6 dps?\nAnswer: 0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 26 and 0.0215.\nAnswer: 26.0215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48708.29 decades?\nAnswer: 5844994.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35274 by 6.\nAnswer: -5879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-36))\/((-7)\/(-308))*236\/826?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10066, -10064, -10062?\n\"Answer: 2*k - 10068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002125209702 to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/6)\/((-4096)\/15360).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose 0 = 2*t + 10, s*a - 6*t - 31 = -t. Factor -1\/3*b**a - 1\/3*b + 0.\nAnswer: -b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5168*r. Let l(z) = -z**2. Calculate a(l(j)).\nAnswer: 5168*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:54 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60083883 + 15053883. Round w to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 22053*n**2 - 17*n - 10. Let y be o(-6). Round y to the nearest 10000.\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291266?\nAnswer: 2, 145633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6793136.\nAnswer: 2, 7, 131, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 12. What is the least common multiple of q and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 2*k**2 + 5*k + 2. Let w be c(-7). Suppose -x - w = 5*p + 512, 3*x - 3 = 0. Let d = 268 + p. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1353529?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689731572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -70*t - 25. Let s be o(-11). Let n = s - 521. Suppose 2*c - 8*q - 158 = -3*q, q = 3*c - n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8413 - -8415. Solve a*w = 87 - 83 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/10)\/(5 - (-36)\/(-8)). Which is the closest to 2? (a) h (b) -5\/6 (c) -5 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 209.631 and -269129843.\nAnswer: -269129633.369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n - 2*n)*(182*n - 159*n - 127*n).\nAnswer: 312*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -8. Suppose 0 = -f*u - 6*u + 480. Calculate the lowest common multiple of u and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.02, -0.1, -13, -3\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0398? (a) 12 (b) -3\/4 (c) 2 (d) -0.3 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1 (b) 6117 (c) 0 (d) 1\/2 (e) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5.9 (b) -0.0851 (c) -9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3562484 - -6126805. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*u + 312 = -313*u + 629*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1190099, 2380197, 3570295, 4760393, 5950491, 7140589?\n\"Answer: 1190098*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/10 and (48 + 63)\/37 - 58\/(-4860)*-257?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**3\/2 - l + 30. Suppose -4*v = 4*y + 8, 13 + 7 = -5*y + 5*v. Give s(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7)*f)\/(((f*f**(-6))\/f)\/f))**12*((f\/f**(3\/7))\/(f*f**(-1\/9)*f))\/(f**(-1)*f)**22 assuming f is positive.\nAnswer: f**(5749\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d**3 - 813718*d**2 - 476440030 wrt d.\nAnswer: 21*d**2 - 1627436*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = a - 3*w, -5*a - 41 = 4*w - 0*w. Let o = 6 + a. Let d be (28\/(-6))\/(o\/(-15)). What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661450 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92740*r**3 + 6809*r**2 + 2.\nAnswer: -556440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4)\/(q**(-20)\/q*q)*(q*q**(-29))\/q*q**(-4) assuming q is positive.\nAnswer: q**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/6)\/s**(1\/2))\/((s\/s**8)\/s**4) assuming s is positive.\nAnswer: s**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1015 - 1011. What is the nearest to 0.1 in -0.02, k, -1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13837991 + -8217991. What is f rounded to the nearest 100000?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*b + 4*b**2 + 7 + 3*b**3 - 5*b**2 + b**2.\nAnswer: 3*b**3 + 63*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3065401 (base 8) in base 7?\nAnswer: -6626445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 4:23 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5 = -p, 0*p = 4*p + 5*s + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235 + w**2 + 1235.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 77 + 63. Suppose 2*t = 3*t + d - 11, 4*d = b. Let c be (-4)\/t + 56\/12. Solve -f - 3 = -2*p + 3*p, c*f = -16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102069 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -166940801.3 rounded to the nearest one million?\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172668 is divided by 1122?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/75)\/(7\/((-21)\/(-2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 w, and 1 k when four letters picked without replacement from kfkkkwwmwk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 938 = 6*a. Let j = -93 + a. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-168)\/(-10)) - (-4)\/(-32)*-2. Which is the fifth biggest value? (a) -4 (b) 5 (c) j (d) 0.8 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 13*f - 129 = -6*f + 16*f, 209 = z + 5*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 18 = 110 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -223461\/44 + 5079. Let w = g + -1\/11. Let l = 74.3 + -74. What is the nearest to w in 3\/4, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/8)\/((-228)\/(-304)). Let f = 0 - -12. Calculate the least common multiple of f and (2\/d)\/((-1316)\/(-120) - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*15*530\/(-25). What are the prime factors of (1\/(-2))\/((-6)\/i)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7664 (b) -4 (c) -2\/9 (d) -0.011 (e) 3 (f) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 1 - 7. Suppose -2*g + 2*w - 1 = 11, 3*g = -w - 2. Let r be (b - 1) + g + 1. Solve r = j + 1 - 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4\/13))\/(c\/(c\/c**(-2\/17)*c)) assuming c is positive.\nAnswer: c**(400\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18))\/(88\/(-42) + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512630 divided by 252105?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3212*r + 533*r - 5358 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1583 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/12 + 5*w**3\/6 - 5*w**2\/2 + 9*w - 12. Let x(v) be the first derivative of j(v). Give x(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2514495 years to months.\nAnswer: 3.017394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -1, -108, 71?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 14579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193 - 193. Let l(r) = 2*r**3 + r**2 + r + 2. Let i be l(n). Solve 0 = -4*q - 3*x - 5, -2*q + i - 1 = 5*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*h = 20, -18 = 22*u - 25*u + 2*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 times -156.6862\nAnswer: -689.41928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 23*k**2 + k - 4*k**2 + 5 + 24*k**2 + k - 6*k**4 + 3*k**3 in the form o*k**4 + u + s*k + d*k**3 + y*k**2 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:27 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -904?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 2, q: 4, d: 1, w: 3, g: 4}. What is prob of sequence qw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/7 + -8562 + 1. Let a be u - (-5 - (7 + -6)). What is a rounded to the nearest one hundred?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -2306?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 39019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = m - 41, -2*n - 5042 = -m - 5049 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-9) + (-1)\/(-3). Suppose 0 = 15*k + 10 + 5. What is the remainder when 30 is divided by 2\/k - 18*g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 6 - (-1 + 72). Let i = -886 - -874. Let y = i - o. List the prime factors of y.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**4 + 72*a**3 - 292*a**2 + 432*a - 208 = 0.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 146 - 44 = 0. Suppose 4*m + 8 = 4*o - 0*m, o + 5*m - 8 = 0. Suppose 0*h - o*h + 27 = 0. Calculate the remainder when i is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - -3) + (-4 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 14295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -18, 60, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**7\/840 - p**6\/720 - p**4\/8 + p**2. Let w(d) be the second derivative of m(d). Find the second derivative of w(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9243, -9548, -10285, -11670, -13919, -17248, -21873?\nAnswer: -28010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxn when three letters picked without replacement from nnnonunuunnnnonucoox?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 20 = 5*g. Suppose 0*b + 4*v - 30 = -b, 0 = 3*b - 4*v - 42. Solve -h + g*o = h - b, o = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**10*x)*x**(-6))**36\/((x**1)**(-2\/7)*((x\/(((x\/(x*(x*x**(2\/3))\/x*x))\/x)\/x)*x)\/x)**(-14)) assuming x is positive.\nAnswer: x**(3646\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 2, v: 2, u: 1, y: 2}. Give prob of picking 1 i, 1 t, and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -85, -125, -163, -199, -233?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 38. Let o be (0*(-5)\/(-15))\/w. Let p be 31*(-1)\/84 + (-2)\/(-7). Which is the smallest value? (a) -3\/8 (b) p (c) -5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - 2. Find the common denominator of 131\/36 and (-30)\/u*(-46)\/(-621).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*n + 34, 479*s + 4*n - 112 = 482*s. Sort -3, 2\/23, s in ascending order.\nAnswer: s, -3, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1339 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*o\/(o*o**3))\/o*o)**(-2\/21))**(-8\/3))**6 assuming o is positive.\nAnswer: o**(-32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22122018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - (-208)\/(-28)) + (-8)\/14. Let a(w) = -5*w**3. Determine a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 45 = -2*h - 5, -3*c + 19 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1655910 and 1839900.\nAnswer: 16559100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 71190?\nAnswer: 71190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -1\/27*d**6 + 2\/27*d**3 + 2 - 2\/45*d**5 + 1\/18*d**4 + 0*d + 0*d**2. Factor r(l).\nAnswer: -2*l**2*(l - 1)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 7*t - 3*t - 92, 5*v - 2*t = -222. Let s = v + 43. Does 15 divide ((-15)\/9)\/(s\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -985159 - -0.1.\nAnswer: -985158.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonodnou. What is prob of sequence uoo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2978 a factor of 27031141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:25 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 432 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 2*q**2 - q + 5. Let j(a) = 5*a - 1. Suppose 2*f + 17 = -5*m, -2*f + 3 = -3*m + 4*m. Give f*w(v) - 3*j(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t + 10, -2*h + 3*t = -38. What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 53. Let u(o) = -b*o**2 - 73*o + 73*o. Let f(n) = -n. Determine f(u(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 839.3428ml?\nAnswer: 0.8393428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:46 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -267.4 - 391.1. Let g = 658 + r. What is the closest to 31 in g, 5, -0.1, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113a1 (base 12) in base 16?\nAnswer: 59e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31267587341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 10*o - 28. Determine y(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778 - 46 = -61*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 5. Let h be l(-5). Suppose -t + h*d = -4*d + 8, 9 = 3*d. Suppose -5*p = t*a + 5 - 9, 3*p - 32 = 5*a. Solve 2*y = 3*b + 25, p*y - 4 = 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3520) + 5*sqrt(220))\/((-1*2*sqrt(11) + sqrt(11))*3)*1.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/136 and 137\/4647960.\nAnswer: 79015320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410162, -410163, -410164, -410165, -410166?\nAnswer: -410167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 776982170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00492 to four decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*f - 26, 17*u = 13*u + 2*f - 28. Put 310, -3, u in decreasing order.\nAnswer: 310, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (2 - 1) - (-194 + 199)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 279073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 750 + -412. What is the remainder when n is divided by 111?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23396 - 36333*y**2 + 36332*y**2 - 23396.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*x + 28*x - 107888. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 157, 2 in descending order.\nAnswer: 157, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 574*q**3*w + 38*q**2*w - w + 3 wrt q?\nAnswer: 3444*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*r**2 + 77*r**2 - 57*r**2 + (0*r - r + 0*r)*(r - 3*r + 0*r) to the form m + q*r**2 + u*r and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -7088573300 to the nearest one million.\nAnswer: -7089000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3698898165 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**2))**(-24)\/(n**(-3\/5)\/(n\/(n\/(n**3*n)*n))))**18 assuming n is positive.\nAnswer: n**(-1836\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 4 - 4)*(2*p + 1 - 1) + 2*p**2 + 12*p + 2 + 26*p - 21*p.\nAnswer: 4*p**2 + 17*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*u + 2\/3*u**3 + 0*u**2 + 0 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b0b + 155a?\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/11 - 392*l**2\/11 - 6958*l\/11 + 68600\/11 = 0. Calculate l.\nAnswer: -175, -28, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhtt when four letters picked without replacement from {h: 3, f: 8, t: 3, o: 2}?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*v + 42 - 40, v - 5 = -2*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 21*z**2 + 21*z + 2554. Determine w(-31).\nAnswer: -7707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7784*l - 6686459. What is h(859)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let g(o) be the third derivative of o**6\/144 + 5*o**4\/8 - 35*o**2. Let k(a) be the second derivative of g(a). Give k(h(x)).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*(o**1*o*o)\/o))\/(o\/o**(-7\/3)*o))\/(o\/(o**(-7)\/o)*o**(1\/4)))**(-19) assuming o is positive.\nAnswer: o**(3553\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4 + 25956*y**3 - 25965*y**2 - 51918*y = 0.\nAnswer: -8653, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -437764741, -437764742, -437764743, -437764744, -437764745, -437764746?\nAnswer: -437764747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (68 - (-7 + -10)) + (5 + 9 + -3 - -3)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 9*z - 6. Let q be r(-6). Suppose 2*t = -3*i + 2*i + 17, -2*i = -2*t - 22. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521b5 (base 16) in base 12?\nAnswer: -569531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 14*b - 20. Let j = 23 + -35. Let f be u(j). Suppose 0 = -t - 2*i + 26, 0 = t - f*t + i + 43. What is the remainder when 63 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Is 33179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjt when three letters picked without replacement from sqpsspppsspppptgpjst?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 - 9*w**2 - w - 5. Let a be s(-3). Let n be ((60\/(-50))\/a)\/((-1)\/(-5)). Solve -n*j = -2*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211002121102 (base 3) to base 16.\nAnswer: 6a2ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 29909.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -5*sqrt(112) + sqrt(28)\/sqrt(4) + 1 + sqrt(56)\/sqrt(8)*-2 + sqrt(77)\/(sqrt(22)\/sqrt(2)))*3)**2.\nAnswer: -1080*sqrt(7) + 25281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1683 + -3043. What is f rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -8*c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1038*l + 374091 - 374091)*(-l + 0 + 0) in the form b + c*l**2 + y*l and give c.\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 5*q**2 - 6*q - 1. Let c be m(-4). Let a(j) = j**3 - 8*j**2 + 6*j + 4. Let k be a(c). Let w = -2 + -2. Put w, 5, k in decreasing order.\nAnswer: 5, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, 1.51, 8, -29?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11720115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -90, 7, -1 in decreasing order.\nAnswer: 8, 7, 2, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*n**2 + 8*n**2 + 7*n**2 + 3*n to b*n + u + a*n**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1778\/5 - 356. Let u = 568 - 568.4. Which is the closest to u? (a) y (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, c: 2, w: 5, u: 10}. Give prob of picking 1 f and 3 u.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24.374 from 72119895.\nAnswer: 72119919.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-18)*3\/2. Let t be 5 + 252\/(-40) + s\/10. Let i be ((-1)\/(-2))\/((-10)\/5). What is the biggest value in -3, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.502, 0.2, 2\/5, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11042 (base 7) in base 15?\nAnswer: -c4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 2. Let n(g) = -g. Let m(s) = 4*n(s) - x(s). Let k be m(3). Suppose 7 = k*u - 228. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-70)\/21)*-2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + l + 3. Let x be q(0). Suppose -d = -5*g - 50, d + 50 = 2*d + x*g. What is the greatest common divisor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68597520, -68597518, -68597516, -68597514?\n\"Answer: 2*k - 68597522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7*2\/(-8))\/(-1))\/(2631\/(-52620))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - s**2 - s**2 + 0*s - 10*s**3. Let x(r) = -10*r**3 - 3*r**2 + 4*r. Let z be (-1)\/(-3) - 22\/(-6). Let q(c) = z*n(c) - 3*x(c). What is q(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -238, 2, 1, -31 in decreasing order.\nAnswer: 10, 2, 1, -31, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77304242 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20\/717 + -6745\/956. Suppose 0 = 5*a + 2*x + 489, 0 = 3*a - a - x + 192. Calculate the common denominator of a*(5 - 2)\/(-36) and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-17600)*20)\/(3\/4*2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1966 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 9:12 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 120, -118, -322, -486, -604, -670, -678, -622?\n\"Answer: n**3 + 11*n**2 - 278*n + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(4\/3)\/x*x*x**(-2\/5))\/((x\/x**(-8))\/x*x*x**(4\/3))*(x\/x**(-9)*x\/(x**(-3\/8)*x*x))**(-1\/9) assuming x is positive.\nAnswer: x**(-1133\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152205 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.585 - -0.1.\nAnswer: 23.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50360583 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t - 5 + 5 - 2*t**2.\nAnswer: -2*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3526991 from -0.1.\nAnswer: 0.2526991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37771?\nAnswer: 107, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + u + 28. What is the remainder when u is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 3\/1682017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 0*z - z)*(-z + 4*z - z) - 1544*z**2 + 2782*z**2 - 1962*z**2 + 0*z**2 + 4*z**2 - 2*z**2 to g*z**2 + a + b*z and give g.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 2*n = -n - 1034 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-124110)\/99288*(-6)\/105*6\/(-4)\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 10) to base 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5509\/(-1574))\/((-7)\/4*2). Let i(o) = -8*o**3 + 3*o - 2. What is i(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12202001 (base 3) in base 14?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*h - 16 - 10 = 0, l - 9 = 2*h. Suppose -13 - l = -4*r. Suppose -r*x + 0*z = -2*z - 47, -5 = x - 4*z. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -23*a**3 - a + 1. Give u(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Suppose w*n + 2*n - 14200 = 0. What is n rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 - 268*p + 264 = 0. What is p?\nAnswer: 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mivm when four letters picked without replacement from hivmqimiiiih?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 339 - -2.1\nAnswer: 341.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50787 by -33.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 e when four letters picked without replacement from mgmggmggmeg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 - -1.04. Let l = v - 2. Let j = l + 4.2. Which is the third smallest value? (a) j (b) -1\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00331 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 1463*x - 68996. Determine u(408).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 4*m + 5. Let t be y(-4). Let u = -256 - -764\/3. Which is the fourth smallest value? (a) t (b) u (c) 2 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 40 = r, -2*r + 41 = 6*b - 3*b. What is the greatest common divisor of 176 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 20. Suppose l - z = -p, 6*p + 4 = 2*p. What is the remainder when 14 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rurr when four letters picked without replacement from {r: 6, u: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -62*z + 508. Give o(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 260\/(-78) - ((-3)\/(-9))\/(38\/(-190))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 54 = -0*b + 4*b, 0 = -5*i - 4*b + 334. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-7)*63*(-3)\/18. Which is the second biggest value? (a) -636 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**5 - 4*h**3\/3 - 1. Find the third derivative of o(u) wrt u.\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 1, b: 2, f: 1, p: 2}. Give prob of picking 1 x and 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 166700 at least as big as 167410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = -1032191*p + 1032234*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 3*r**2 - 4*r - 347. Let y(z) = -2*z**3 + 4*z**2 - 6*z - 347. What is -4*o(s) + 3*y(s)?\nAnswer: 2*s**3 - 2*s + 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 3*d + 2 - 5 = 0, -1 + 5 = 17*f + 4*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 = 0, 2*f = 5*p - f - 16. Let c be (-3)\/3*-3 - 1. Let i(y) = 5*y**2 - p*y**2 - y**c. Let r(l) = -l**2. Calculate i(r(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 128928 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (29 + (-1 - 18)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:29 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1351541648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, c: 1, n: 1, a: 3, d: 4}. Give prob of sequence pcp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-3)\/252)\/((-2)\/48*-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-15) + 0)*3\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235.5645ug in kilograms?\nAnswer: 0.0000002355645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 26*f. Suppose 5*s - 4*l - 27 = f, 2*l - 6 = -4*s - 0*l. Solve 0 = -s*q - 1 + 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 + 10*i**2 - 4*i - 4. Let k(v) = 3*v**3 + 9*v**2 - 4*v - 4. Let l(t) = -5*k(t) + 4*s(t). Give l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5154, 5095, 5006, 4893, 4762?\nAnswer: 4619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15388, 61399, 138070, 245401, 383392, 552043, 751354?\n\"Answer: 15330*u**2 + 21*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 12 + 51 = 0. What is the remainder when m is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90169\/78 - 1156. Let i = x + -55\/234. Let q = 74 - 220\/3. Which is the second smallest value? (a) -0.5 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -8\/25, 1\/10, 0, -0.5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15621172 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 44. Let g be 2\/2*(0 - -6). Let o(q) = -7*q + 2. Let n(z) = -13*z + 4. What is g*n(s) + t*o(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4950 + -4944. What is the highest common divisor of g and 2022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 + 86.3. Let d = 1 + -8. What is the closest to d in 2\/5, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4\/3 (b) -130 (c) -2 (d) 14\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 24*x + 47. Let k be i(-2). Let m(p) = 6*p**3 - 2*p**2 - 2*p. Let d be m(k). Is 14 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 - 194*f**2 + 133*f - 308. Let m be t(64). Calculate the highest common factor of 30468 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - z)*(-197064*z + 197003*z + 4*z**2 + 0*z**2) in the form l*z**2 + m*z**3 + r*z + c and give l.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m**4 - 18192*m**3 - 555*m**2 + 3*m + 2.\nAnswer: -168*m - 109152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.5 (b) 3 (c) 5\/324 (d) 3\/8 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 4*u - 10. Let d = 7 - 5. Let k = -5 - d. Let p be s(k). Calculate the greatest common divisor of p and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*v - 145 = -135*v. Suppose 6*w + v = 113. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119 or 4386?\nAnswer: 4386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4160 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5232, 8002, 10764, 13512, 16240?\nAnswer: 18942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.467432 weeks to nanoseconds.\nAnswer: 5725902873600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.1 + 20. Let i = -0.09 - -0.14. Which is the second biggest value? (a) i (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m = 43*m - 2144. What are the prime factors of m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 7:23 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/(4\/7112) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11*d + 96. Give f(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1956337552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*a - 58*a - 98*a - 169*a - 156*a - 95*a.\nAnswer: 212*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**9\/30240 - u**6\/360 - u**5\/30 - u**2. Let g(b) be the third derivative of i(b). Find the first derivative of g(v) wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -26602, -26699, -26860, -27085?\n\"Answer: -32*g**2 - g - 26569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 128. Let d be f(-37). Put d, 2, 4 in descending order.\nAnswer: d, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (129 - 132)*(-5)\/3. Solve 4*i - o*p = -3, 3*p = i - 6*i - 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 + 2*z**4 - 5*z**4 + (2*z**2 + z**2 - 6*z**2)*(z**2 - 6*z**2 + 0*z**2) - 2*z**4 + 2*z**4 + z**4 + (0*z - z + 3*z)*(z**3 - 2*z**3 + 3*z**3).\nAnswer: 19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55204156 - 311.4.\nAnswer: -55204467.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 + 12*v**2 + 10*v - 6. Let m(o) = 5*o**3 + 13*o**2 + 10*o - 7. Let b(j) = 6*i(j) - 5*m(j). Is b(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.7567 - -0.0567. Let z = w + 27. Which is smaller: -10 or z?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 211904796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48928477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppfppfppppfqpl. Give prob of sequence lfp.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**3\/3 + 13*v**2\/2 - 20*v - 2. Let r(s) = -s**2 - 9*s + 176. Let k be r(-19). Calculate l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6772*f = 1438*f + 133350 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:07 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffff. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 + 2*f + 2. Let b be w(-1). Solve -7*l + b*l = 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 - 1072.5.\nAnswer: -985.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -90*q + 10994. Determine x(125).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5382400, -10764801, -16147202, -21529603, -26912004?\n\"Answer: -5382401*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -5\/2*y**2 - 3 + 4*y. Is h(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7161.82 minus -1.24135?\nAnswer: 7163.06135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejc when three letters picked without replacement from jefceeefcfjceeeecce?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4164 and 240717.\nAnswer: 334115196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(sqrt(119) + sqrt(119) + -2*sqrt(119) - sqrt(119)))\/sqrt(7).\nAnswer: -5 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 0*k**3 - 3*k**2 - 4*k**3 + 9*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -266, -530, -798, -1076, -1370, -1686?\n\"Answer: -r**3 + 4*r**2 - 269*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + 5*l**2 - 4*l**2)*(l + 1 - 1 + (2*l - 3*l + 3*l)*(-3 + 0 + 0))*(4 - 2 - 1).\nAnswer: -25*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 192 - 66 - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-4))\/(c*c**(-1\/5)))**(-1\/7)\/(c\/c**(-4\/3)*c**(-1\/6))**(-7) assuming c is positive.\nAnswer: c**(467\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5396688m in nanometers?\nAnswer: 539668800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10906077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/5 + -2. Let p = -0.9 + -0.1. Let u = -0.325 - -0.225. Which is the nearest to p? (a) q (b) u (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-3\/17)\/t*t))\/(t\/(t*t**10)*t*t) assuming t is positive.\nAnswer: t**(156\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-3)\/((-45)\/(-10))*-27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420 (base 9) to base 7.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*x**6 - 245*x**2 wrt x?\nAnswer: 15240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*t + w, t - 4*w = -0*t - 13. Suppose -2*v = t*y - 3, 5*y + 35 - 8 = 2*v. What is the lowest common multiple of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 3. What is the remainder when (-990)\/(-132)*(-258)\/(-9) is divided by v(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 1\/15*y**5 + 2*y**2 - 3 + 0*y + 5\/42*y**4 + 2\/21*y**3 + 1\/70*y**6. Let u(j) = 0. What is j?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2462223 + -2462201.19602. Let t = j + -21.8. Round t to four dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 521993728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -33, 18, 0, 5, 1, -4 in increasing order.\nAnswer: -33, -11, -4, 0, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/4075818 and -7\/79.\nAnswer: 321989622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 - 367?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1452947348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vogopsvoovo. What is prob of picking 2 o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 4*b + 5*b**2 - b**2 + 1 + 5*b. Let u be k(-2). Let x(l) = -l - 7. What is x(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-21))\/((-286)\/3003).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(275))\/sqrt(5) + sqrt(55))\/(sqrt(20)\/sqrt(4)*3) - ((sqrt(1331) - (sqrt(1331) + 0 + sqrt(1331)))**2 + 1 + (2*sqrt(1331))**2 + -3).\nAnswer: -6653 - sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 292*j + 366 - 74. Suppose 5*m - 9 = 4*m. Which is the nearest to j? (a) 0 (b) m (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 s when four letters picked without replacement from tssssssstsltslslssts?\nAnswer: 156\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -2, 19, 40?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2144111 - -10?\nAnswer: -2144101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4317, -8622, -12917, -17196, -21453, -25682?\n\"Answer: x**3 - x**2 - 4309*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 45, 87, 163, 291, 489, 775, 1167?\n\"Answer: 3*d**3 - d**2 + 24*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b**(5\/6)))*b*b*b**(1\/3))**(3\/7)*((b*b\/(b*(b\/b**1)\/b*b*b*b*b*b*b))\/b*(b**(-1\/5)\/b)\/b)**15 assuming b is positive.\nAnswer: b**(-1487\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, 1 j, and 1 o when four letters picked without replacement from {p: 3, j: 2, o: 5, v: 7}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*i**2 - 51?\nAnswer: 148*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**4 - 28111*f**3 - 120*f**2 - 2*f - 888.\nAnswer: 72*f - 168666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 91\/156 + (-1)\/4. Let g = -7 + 10. Which is the nearest to -3\/5? (a) 4 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 22 - 54 + d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347456947.\nAnswer: 47, 7392701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -2\/7 (c) -2\/5 (d) 0.091 (e) 6 (f) -135\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -370, -552, -730, -904?\nAnswer: -1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -138 from -69632.2915431.\nAnswer: -69494.2915431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 68590820 rounded to the nearest 100000?\nAnswer: 68600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/11)\/r)\/(r*(r\/((r\/(r*r*r**(2\/29)\/r*r))\/r))\/r)*r*r**(2\/13)*r**(2\/7) assuming r is positive.\nAnswer: r**(-92163\/29029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + (-81)\/6)\/(1\/2). Let z = o + 18. Which is greater: -1\/4 or z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162975 and 953045.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 3*s**2 - 4*s + 2. Let u be g(-4). Let y(i) = 4 - u - i**3 + 5*i**2 + 0 - 2*i. Suppose -25 = n - 6*n. What is y(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -17*r**2 + 6*r + 19. Let i(h) = -18*h**2 + 7*h + 19. Let m be (-2 - 5)\/(0 + 1). Let j(v) = m*x(v) + 6*i(v). Differentiate j(y) with respect to y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 - -1609.\nAnswer: 1608.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19170088?\nAnswer: 2, 7, 19, 43, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*w**2 - 47*w**2 + 98*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 7*x**4\/6 + x**3\/6 + 3*x**2 - 9*x + 1. What are the prime factors of q(-3)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167255976 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5981 is divided by 663?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69 - 164 - 30) + 72.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67339*s**2 + 3119*s wrt s?\nAnswer: -134678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(162)*-1 - sqrt(162) - sqrt(162)) - sqrt(162) - sqrt(162)) + sqrt(162)*-2 + -1)*3)**2 + (3 + 5 + 2 + sqrt(162)*-1)**2.\nAnswer: 1926*sqrt(2) + 246673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -86707.3 to the nearest 100.\nAnswer: -86700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvvv when four letters picked without replacement from {m: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/20*(132\/18 + -8)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8*(14\/4)\/7. Let c(p) = p + 8. Let u be c(l). Suppose 5*n = 3*x + 19, 2*x + 11 = n + 5*x. Is u less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24930721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**2*v*v*v**(1\/7)*v**(-3\/2)*v*v*v**0\/v*v*(v**(2\/7)*v*v*v)\/v*v\/(((v**(3\/7)*v)\/v)\/v)*v*v*v\/(v**(-6)*v*v*v)*v*v\/(v*v**6)*v assuming v is positive.\nAnswer: v**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -41. Let d(s) = 6*s + 3. Let v be d(12). Differentiate v + 72 - 155 - z**n wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5))**(-8\/15)*(f**(2\/5)\/f)\/f**1)\/((f*((f\/f**(-2\/3))\/f)\/f*f**(-2)\/f)\/(f**(-2\/3))**4) assuming f is positive.\nAnswer: f**(-43\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8632, -8642, -8666, -8710, -8780, -8882?\nAnswer: -9022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:33 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 3*v**2 + v + 1. Let q(u) = -u**3 + 3*u**2 + u - 1. Let f be q(3). Let b be w(f). Let h(c) = 2*c - 1. What is h(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 28. Let c = -5 + 11. Let d(j) = j**2 - 5*j + 1. Calculate the remainder when d(c) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.0084 or -1.609?\nAnswer: 5.0084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:53 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*j)*(-1 + 7*j + 5 - 3) to g*j**2 + t*j + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43387933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -154 and 142 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 6*q**2 + 3*q - 7. Let d be y(-5). Let i(m) = -5*m + d + m**2 + 0*m**2 + 0*m**2. Suppose 2*s + 0 = 8, -2*c = 2*s - 14. Determine i(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1, 57, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 25*k - 45. Determine r(27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 w when three letters picked without replacement from wauww.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1337.9991765 - 1338. What is u rounded to 5 dps?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/10 and 30\/27*(-69)\/(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/14 - 15\/(-2). Suppose -3*t - 4*b + 12 + 30 = 0, 2*t = 4*b + p. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 - 55*s - 27. Let l be p(-27). Let h(v) = -v**3 - 65*v**2 + 2 + 2*v**3 + 66*v**2. Let f be h(0). Sort 1, l, f in increasing order.\nAnswer: l, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.48466+-0.01727\nAnswer: -10.50193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30039?\nAnswer: 3, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 204697.2 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/14 and 1125\/(-160) + 0 - -4.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2562095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 + 0 + 163 + -69?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -2 (b) -7314 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55960699.\nAnswer: 5323, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 49 * -29\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 170\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, -5, -3\/11, 1, -1\/6, 2, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -133292315*-0.1\nAnswer: 13329231.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1239\/120 - -1*3. Let f = -2104 + 10454\/5. Let l = b + f. What is the third biggest value in l, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 + 3*k**2 - 3*k**2 + (-856 + 32*k + 856)*(40*k + 412 - 26*k - 15*k).\nAnswer: -31*k**2 + 13184*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12845.4937317 - 12845.5. Round k to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvszmsvvhamassvam. What is prob of picking 1 s and 1 h?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.38886 and -0.31.\nAnswer: -0.1205466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-825))\/((-4)\/(-10)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-1681)*120\/(-480).\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49485004 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844.686 micrograms to nanograms.\nAnswer: 844686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 2. Let j(b) be the second derivative of b**3\/3 + b**2 - 42*b + 3. What is -2*j(c) + 3*q(c)?\nAnswer: 5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4 + 4*c**2 - 2 - 10*c + 10*c. Let r be v(-1). Solve r = -x - x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3573 = 5*b + 953. What are the prime factors of b?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-4*2\/(-4)). Let i = 219 + -201. Suppose -15 + 69 = i*b. Solve -b*g + 2*o - 16 = r, -g + 2*g + 10 = 3*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -18, 4, 56, 150?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ejjbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1054 and (4\/3 - (-253)\/(-165)) + (-5958)\/(-90)?\nAnswer: 34782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18749, -37507, -56271, -75041?\nAnswer: -93817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 828376008 to the power of 1\/2, to the nearest integer?\nAnswer: 28782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -73*h**2 - 32*h - 35. Let x be f(-1). Are x and -38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**6\/135 - 8*g**5\/45 - g**4\/18 + 46*g**3\/27 + 32*g**2\/9 - 5*g - 4. Find w, given that c(w) = 0.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 340, 758, 1334, 2062, 2936, 3950?\nAnswer: 5098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 305, -4, -3959 in descending order.\nAnswer: 305, 2, -4, -9, -3959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 370547189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 682*q**5 + 6035*q**4\/4 + 1870*q**3\/3 - 725*q**2\/2 + 30*q - 662. Suppose y(g) = 0. What is g?\nAnswer: -1, 3\/62, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 2*z - 16. Let m(p) = -p**3 - p**2 + p + 5. Let x be m(0). Solve -16 = -4*a, 0*r - z*a = x*r - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*y, -5*c + 15 = 9*y - 8*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 4:16 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 378\/120) + 10\/25.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 62\/133 - (-68)\/(-119). Let z be ((-2)\/(-8))\/((-15)\/12). What is the nearest to 2\/5 in z, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8579 and 0.26.\nAnswer: -8578.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 10:05 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2210 - -1939.92. Let g = 275 + r. Let i = g - -0.08. Which is the closest to 0.2? (a) -4 (b) i (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - -190. Suppose x + 0*x = p. List the prime factors of x\/11 + -2*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8087, 8667, 9233, 9779, 10299?\nAnswer: 10787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4456, -8932, -13406, -17878, -22348?\n\"Answer: y**2 - 4479*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 387 - 7?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -222*h**2 - 2549*h - 12764. Determine v(-5).\nAnswer: -5569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.2205091 + 96.220511. Let q = -9 - j. Round q to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14187208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347694341.\nAnswer: 1709, 203449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, a: 1, g: 3}. What is prob of picking 3 z and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2653, 10699, 24095, 42829, 66889, 96263?\nAnswer: 130939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619304 = -53*n - 64*n + 993658. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 2347 + 2381 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*i, -7 - 5 = -5*c - 4*i. Is c smaller than 3\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-39) - 2\/(78\/(-3855)). Suppose -12*t + t = -x. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t - 6 = 0, 0 = r - 3*t + 6. Suppose 4*a - r = 13. Solve 4*c = -a*f - 4, c - f - f = 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/3 + 172*j**3\/3 - 2608*j**2\/3 + 4052*j\/3 + 2278 = 0 for j.\nAnswer: -1, 3, 17, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine quarters of a year?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2\/2 + 7940*o.\nAnswer: 5*o*(o + 3176)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8171, 8172, 8173, 8174, 8175?\n\"Answer: p + 8170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:35 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 24709*n - 12331*n + 3 - 3 - 12350*n.\nAnswer: 28*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 greater than or equal to 11485\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981 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: Is 420609055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 823600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 6\/30*5*43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3020609 - 3021129 = -8*n for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**0)**(-1\/50)*((((h\/(h\/(h\/(h*h**(2\/5))*h)))\/h)\/h)\/h*h)**(-2\/67))**(1\/37) assuming h is positive.\nAnswer: h**(3\/61975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 125*v**3 + 3*v**2 + 96*v**3.\nAnswer: -29*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -6. Let i(c) = c**3 + 4*c**2 - 8*c - 5. Give i(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from eotletlocecol?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214973*d**3*f**3 + 37*d**3 + 143*d*f**3 + 9*d*f**2 + 17*f**3 wrt d.\nAnswer: -1289838*d*f**3 + 222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d*d*d**(-3)*d*d*d*d)\/d)\/(d*d*(d*d**(2\/57))\/d))**21)**(-1\/24))**3 assuming d is positive.\nAnswer: d**(7\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 153.602 and 115?\nAnswer: 17664.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*f*k**3*q**2 - 9*f*k**3*q - 2*f*k**2*q**2 + 51*f*q**2 - f wrt k.\nAnswer: -42*f*q**2 - 54*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 14*q - 11*q. Suppose -q*o + 6*o = 186. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8053*w**5 + 12*w**4 - w**2 + 29775*w?\nAnswer: 161060*w**3 + 144*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 105, 84, 45, -18, -111, -240, -411?\n\"Answer: -h**3 - 3*h**2 - 5*h + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(208)*-1 + sqrt(208)) - (sqrt(52)*2 - (0 + sqrt(208))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 715 (c) -6 (d) 2 (e) 14\/137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116181 + 167434 = -6304*l + 49005 - 55374 for l.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.076*5\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 12289, 49266, 111067, 197836, 309717, 446854, 609391?\n\"Answer: 24*h**3 + 12268*h**2 + 5*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 16, 88 = 4*p - 0*o - 4*o. What is the highest common divisor of p and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 193. Let a(i) = i**3 + 7*i**2 + 8*i + 10. Calculate the remainder when 36 is divided by a(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608724*f - 609067*f - 20923 = 0 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.034 and 27011.\nAnswer: 27011.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -5. Let w = -2 + y. Let b(k) = -3*k - 3. What is the remainder when 42 is divided by b(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5\/8 + 2221*l**4\/8 - 829053*l**3\/4 + 106538999*l**2\/2 - 939186397*l.\nAnswer: -l*(l - 734)**3*(l - 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 + 8*j - 1. Let p be k(2). Suppose 0 = 2*u - p*y - 148203, 5*u - 222302 = 2*u + 2*y. Round u to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 - 145. What is the remainder when (129\/(-3))\/(w + 3) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21839, -1688, 0.5?\nAnswer: -1688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 7*q - 15 + 77, -7*q - 57 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.290924 + -1\nAnswer: -0.709076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 1a2b?\nAnswer: -1a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*d - 614 = 76 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 2257?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -61. Let l be 2 - 4 - 17*f. What is the derivative of -4 + 22 + 13*p**2 - 287*p + l*p wrt p?\nAnswer: 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*y - 20*y - 8. Let q(k) = -2*k**3 + 2*k - 7. Let b be q(y). Let s = 113 - b. Solve -4*f + s = 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -6\/5*t**2 + 6\/5 + 2\/5*t**3 - 2\/5*t = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4641 - -16340.\nAnswer: 16339.5359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:52 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10086*c - 93342 - 975774 = 0 for c.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29734623 is divided by 14867307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 11*j**2 - 10*j + 11. Let q be l(-12). Let a = 16 + q. What is the remainder when (-310)\/(-6) + a\/9 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4232 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 288*y - 191. Calculate n(-2).\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*w**3 + 2*w**2 - 2*w**4 + 902*w + 0*w**2 - 452*w - 451*w in the form d*w**2 + m*w**3 + v*w**4 + b*w + z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 9*o + 10. Suppose 2*j - 22 = -2*n + o, -2*n - 3*j + 21 = 0. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 8*k**2 + 15*k - 9. Let r(q) = 2*q**2 + 4*q - 2. Let v(j) = -9*r(j) + 2*y(j). Factor v(p).\nAnswer: -2*p*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*m + 251*m + 1653 = -225*m for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 18. Suppose -4*f = -6 - u. Let c(z) = -2*z + z + f*z. Let g(n) = 2*n**2. Determine g(c(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + 2 - (0 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*t**2 + 4 - 4.\nAnswer: -252*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/15)))\/m*m*m)\/m**(-5\/4)*(m\/((m**4\/m)\/m*m)*m)**(2\/61) assuming m is positive.\nAnswer: m**(7871\/3660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 174813819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + a + 2. Let m = 274 - 277. Give s(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))**31)**(2\/11)\/((f**2\/f**2)\/(f**(-4)*f**5\/f)) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 10:26 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20452, 20450, 20448, 20446, 20444, 20442?\nAnswer: 20440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 5 - 17 + 3175951*f.\nAnswer: 3175951*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 4*d**2 + 5*d + 4. What is c(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000649405 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 4}. What is prob of sequence pxx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-1*sqrt(204))\/sqrt(12) - sqrt(136)\/(-2*sqrt(8)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 1748*g - 6928.\nAnswer: -4*(g - 433)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 771 and 5397.\nAnswer: 5397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.72486493 to two dps.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2048105, 2 in increasing order.\nAnswer: -5, 2, 2048105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 211289 and -1.4?\nAnswer: 211290.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 6:15 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202490, 202493, 202498, 202505, 202514?\nAnswer: 202525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672211 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, m: 1, w: 2}. What is prob of sequence ym?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (4 + sqrt(17)*-1 - sqrt(17) - sqrt(17)))*-2)**2 - (0 + sqrt(272) + (5*sqrt(68))\/sqrt(4)).\nAnswer: -81*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**2 + 29115*l - 1320300 = 0.\nAnswer: -5868, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 18*k - 2 + 3 + k**2 - 19*k. Let h(x) = -x**2 + 5*x - 5. Let f(b) = h(b) + 5*q(b). Let r(w) = 3*w. Calculate r(f(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/931 or -0.1?\nAnswer: 4\/931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azm when three letters picked without replacement from {j: 5, v: 4, x: 1, a: 2, z: 2, m: 1}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34643221 rounded to the nearest ten thousand?\nAnswer: -34640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37\/7 + 2\/(-7). Suppose 3*n + 17 = 5, -i*n = -z + 24. Calculate the least common multiple of z and (-17)\/(-2) - 33\/(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 1, -2\/3, -5, -4238.4 in ascending order.\nAnswer: -4238.4, -5, -2\/3, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29.09805 centuries?\nAnswer: 2909.805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -407614 (base 13) in base 12?\nAnswer: -604b7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-126)*-1)\/(175\/(-210))*21\/19.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 213 - 198. Suppose 0 = t*b - 23*b + 24. Let w = 24 + -9. Calculate the greatest common divisor of b and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + r)*(444 + 357*r - 627 - 337*r).\nAnswer: -40*r**2 + 366*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 41*h**5\/60 + 5*h**3\/6 - 5*h**2. Let i be r(4). Let t = i - 374. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -34*y**3 - 42*y**2 + 93*y - 91. Let d(i) = -8*i**3 - 10*i**2 + 23*i - 23. Let a(p) = -9*d(p) + 2*n(p). Is a(5) a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:45 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*w = 8 - 18, 8 = 4*y - w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378282 and 2010?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 109 = -5*c. What is the remainder when c is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**8\/1512 + 2*d**7\/135 + 7*d**6\/180 - d**5\/3 + 2897*d**2. Suppose j(p) = 0. What is p?\nAnswer: -3, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 + 58*p + 31. Let w be q(-11). Put -3, 2, w, -23 in decreasing order.\nAnswer: 2, w, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82034597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 889*x - 966*x - 1 + 1 - x**2 = 0. What is x?\nAnswer: -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -152*r**3 + 27*r**2 - 80*r - 32. Let x be z(-25). Let v = 72093843 - x. Round v to the nearest one million.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/8)*p)\/p**0*(p*p**9\/p*p)\/p*p**2 assuming p is positive.\nAnswer: p**(95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 7, 3\/7, 136 in ascending order.\nAnswer: -3\/4, 3\/7, 7, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12*2\/(-3 - 3). Let p(x) be the second derivative of 0*x**2 - 4*x + 0*x**3 + 0 + 3\/20*x**5 + 1\/4*x**j. Factor p(r).\nAnswer: 3*r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**3 - 3*p**3 - 2*p**3 + (-p - p + 4*p)*(p**2 + 3*p - 3*p) + (-4*p**2 + 0*p**2 + 3*p**2)*(425*p - 2 - 77*p - 125*p).\nAnswer: -222*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 157 - 153 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/567, -0.1.\nAnswer: -6, -0.1, 2\/567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3528498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + 5*v**2)*(0*v + v + 0*v) + 658 - 617 - 295 + v**3.\nAnswer: 2*v**3 - 254","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**6\/180 + y**5\/30 - y**4\/12 + y**3\/6 - 4*y. Let l(t) be the second derivative of s(t). Suppose l(b) = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14153\/3157 + -1104\/287. Determine i, given that -2\/11 + y*i + 4\/11*i**2 = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/8 - 2)\/(6\/16). Let s be u - (-15)\/(-5) - -3. What is the second derivative of -6*y**3 - 11*y**3 - 6*y**3 + 5*y + s*y**3 wrt y?\nAnswer: -114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 13*z = -10*z, z = 3*l. Suppose l = 171*a - 172*a + 2. Solve 0 = -4*n + 5*k + 17, -a*n + 13 = -4*k + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -30, 1\/8, 2093, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -843, -809, -775, -741?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32613475 and 3?\nAnswer: 97840425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 79*d + 772. Give t(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-6)\/b**(-3\/5))\/(b\/(b\/(b*b**(2\/9)*b*b)))**24)\/(b**(-1\/2)\/(b*b\/(b*b\/b**(2\/3)*b))*(b*(b*b**(2\/9))\/b*b)**(-2\/45)) assuming b is positive.\nAnswer: b**(-66799\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/4, -0.8, 13, 2\/49 in descending order.\nAnswer: 13, 2, 3\/4, 2\/49, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 109638 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -757 + 756.8. Let w = 9 + -6. Which is the fourth smallest value? (a) u (b) -0.4 (c) 0.3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/3))**(-1\/25))**(-16))**(-44) assuming b is positive.\nAnswer: b**(704\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p = 5. Suppose -26 = -5*b - s + p*s, 2*b + 16 = -5*s. Solve -3*r = -5*o - 7, -5 = -r + o - b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 3*u + 40 = 0. What is the third derivative of -11*i**u + i**2 - 5*i**2 - i**4 - 2*i**4 wrt i?\nAnswer: -336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/191079 and 22\/315.\nAnswer: 955395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4426*h - 2159891. Calculate i(-488).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*j = j - 3, 3*v + 5*j - 5 = 0. Suppose 4 + 21 = 5*x. Sort v, x, -4 in ascending order.\nAnswer: -4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.2 and -77399930168.\nAnswer: -77399930177.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18226143 is divided by 808.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 625, -1, -19 in ascending order.\nAnswer: -19, -1, 4, 625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*q - 13 = -0*b, 5*b - q - 27 = 0. Let w be 11\/2 + (-2)\/(-4). Suppose -3*a = 3*h, b*h + 4*a = w - 1. Solve i = 2*o + 3*i - 20, 3*o - h = 2*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w + 111 = 261 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*w - 34*w - 12. Let v be w\/(-21) + (-100)\/(-28) + 2. Suppose 0 = -3*f, 0*x + 2*x = v*f + 52. What is the greatest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(6) - (sqrt(864) + sqrt(864) + (sqrt(864)*3 - sqrt(864)) + sqrt(864))))**2.\nAnswer: 17\/3481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137975, -272422, -406865, -541304, -675739, -810170, -944597?\nAnswer: -1079020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3\/3 - 14*j**2 - 556*j\/3 + 96 = 0 for j.\nAnswer: -8, 1\/2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8114937782 rounded to the nearest 100000?\nAnswer: -8114900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126777 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 - -570. Suppose -4*m + 0*m + d = 0. Suppose 0 = -5*r + 5*o + m, -6 = -3*o + 3. What is the remainder when r is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 4*s**2 + 4*s + 1. Determine t(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -9 + 15 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a kilogram in grams?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**3 - 3*d**2 - d + 4. Let k(a) = -a**3 - 2*a**2 + 9. Let w(h) = -4*h**3 - 6*h**2 + 25. Let x(c) = -8*k(c) + 3*w(c). Give -2*t(v) + 3*x(v).\nAnswer: -4*v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -577?\nAnswer: 57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-391)*0*(-1)\/2*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1020 and 1853.\nAnswer: 111180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2.525 * -9.94\nAnswer: 25.0985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 + -112.615368?\nAnswer: 231.384632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1459*q - 3034*q = -1430*q + 9715 for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0*s + 4*s + 11 = 0, -3*l - 4*s = -19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-153)\/(-27) - 4).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 10*k = 16. Suppose -v - 18 + 2 = 4*u, v + 5*u = -21. Solve -h - 2 = z, -4*z + h + v*h - k = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 5*k + 64 + 5*k + 0*k.\nAnswer: 6*k**2 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**5 - 15*s**4 - 18*s**3 + 6*s**2 + 21*s + 9 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*g - 17473044*b**3 + b**2*g + 1351763*b*g - g wrt g.\nAnswer: -2*b**3 + b**2 + 1351763*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmtmmmmmttttt. What is prob of picking 2 t?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 12*q**2 + 40*q - 69. Let k be g(-15). Suppose -4*f - 20 = 0, 0 = -2*i + 5*i - 5*f - 25. Suppose i*u = k*u. Solve -m + 3 - 7 = u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17637 is divided by 210?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2307308\/387 or 5963?\nAnswer: 2307308\/387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 16 = -4*d, 0 = -0*l + 5*l + 2*d - 18. Let f be (-5)\/15*(0 - 15). Factor -6*a**f + 12*a**5 - 4*a**3 + l*a**2 - a - 16*a**2 + 10*a**4 - a + 2.\nAnswer: 2*(a - 1)*(a + 1)**3*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/7 + 4*k**2\/7 = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 116*x - 196. What is the remainder when w(5) is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5126565 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(19) + -3*sqrt(171))**2 + -2.\nAnswer: 8377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5379 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 71191000 to the nearest one hundred thousand.\nAnswer: 71200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -198016.8359 to the nearest one hundred.\nAnswer: -198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*g**4 + 15*g**3 - 174*g**2 + 2*g wrt g.\nAnswer: 360*g + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 53, -2, -1.\nAnswer: -4, -2, -1, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 20*m**3 - 52*m**2 + 28*m.\nAnswer: 4*m*(m - 1)**2*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**2. Let i be (1\/5 + (-3)\/(-10))*0. Let c(a) be the second derivative of 1\/6*a**4 + 0 + 5*a + i*a**3 + 0*a**2. What is b(c(n))?\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(5*y + 5*y + 8*y - 4*y) + 146*y - 131 - 128 + 258.\nAnswer: 160*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4403 - 73a?\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*h = -161*h - 15. Suppose 3*y - 20 = h*q, 0*q - 8 = 4*y + 2*q. Solve y = -0*w + w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-120))\/((-7)\/((-1008)\/288*4\/(-14)))\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2.48 * -0.6\nAnswer: -1.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -31 - -11) + -25 + 1 - (1 - 5).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 153 - -1. Suppose x*i - 159*i = -760. What is the highest common factor of i and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934847 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/79 (b) 124793 (c) 3 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:11 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020577087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o**3 - 3*o + 1. Let u(j) = -909689*j - j**2 + 2 + 909681*j + 2*j**2 - 27*j**3. What is -3*u(d) + 8*y(d)?\nAnswer: 9*d**3 - 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 675?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -422*a + 89. Let i be r(0). Solve -117*q = -i*q - 224 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259204 divided by -172.\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10064130 - 4?\nAnswer: -10064134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*c**3\/13 - 14*c**2 - 846*c\/13 - 162\/13.\nAnswer: -2*(c + 9)**2*(5*c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 1934. Let w(h) = 2*h**2. Determine u(w(p)).\nAnswer: -16*p**4 - 1934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 12*v - 114446 = 3*q, -2*q - 76280 = 5*v. Round q to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1981, 1992, 2009, 2038, 2085, 2156?\n\"Answer: p**3 - 3*p**2 + 13*p + 1970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14695 + 3123 = 1052*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/102 and -53\/26.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -49\/2. Determine b so that -1\/2*b**4 + 0*b + 0 - 1\/6*b**2 + x*b**3 + 1\/6*b**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 - -160. Suppose 1 = y - 2*y, -d*c + 5*y = -11. Solve -c*m + 3*h = 0, 5*h - 15 = -2*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w. Let r(b) = -8*b**2 + 5. Let h(i) = 15*i**2 - 9. Let d(t) = 5*h(t) + 9*r(t). Calculate c(d(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45161*z + 19762.\nAnswer: 45161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5\/4)*u)\/u*u)\/(u\/u**3)*u**2*u*u**(-8)\/u assuming u is positive.\nAnswer: u**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12520919 divided by -1.\nAnswer: 12520919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 10:13 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*d**4 - 35*d**4 - 6 - 1287*d + 1289*d wrt d.\nAnswer: -540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1535, -6158, -13863, -24650, -38519, -55470?\nAnswer: -75503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 - 2 - -1)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 657, 5, -6, 3, 4, 1 in ascending order.\nAnswer: -6, 0, 1, 3, 4, 5, 657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 3, 32, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1651 + 2325?\nAnswer: 3976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8977 - 3105. List the prime factors of o.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 13*f**2 + 8*f - 146. Calculate u(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1297800 to the nearest 10000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 4)*(-3*f**4 + 0*f**4 + f**4).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-5)*(-825)\/(-19140).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*n + 61*n - 23*n)*(-552*n**2 - 27013 + 27013).\nAnswer: -29808*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/20 + -3)*-5. Let i(o) = o + 3. Let b(k) = 2*k + 4. What is s*i(t) - 5*b(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12274037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1672019529 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-8 - -1 - (-39 - -37)) + 2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v - 1. Let d be 1\/(1 + -2 + 0). Let x be u(d). Differentiate 3*c - x - 3*c + 5*c with respect to c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2091 less than -2092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, -107522?\nAnswer: -107522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3*n + 65*j**3 - 46*j*n - 15*j + 296*n wrt n?\nAnswer: 2*j**3 - 46*j + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)*n)\/((n*n**(1\/18)*n)\/n)*n**(2\/15)*n*n*n*n**10)**(-26) assuming n is positive.\nAnswer: n**(-15691\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**5\/20 + 2*y**4\/3 - 5*y**3\/3 - y**2\/2 - 19*y. List the prime factors of o(4).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205706*o + 71 = 205709*o + 5*r, 4*r - 56 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (38\/8)\/(5 + 395\/(-80))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/60)\/((-2)\/(-30)). Which is the nearest to 3\/5? (a) 0 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a2a3 (base 13) to base 4\nAnswer: -312102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 5462278\nAnswer: 1\/5462278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -440 + -4?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3738 and 11214?\nAnswer: 11214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 + 55*w**4 - 40490*w**3 + 3*w**2 - 6*w + 105132.\nAnswer: -120*w**2 + 1320*w - 242940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -2*1\/(-2). Suppose -3*f - 4*d + 10 = h, 0*f + 4*f + 5*d - 13 = 0. Let p be -7 + 10 - (f + -2). Solve -z + 4 = -p*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63823 - 1506*m**3 + 3*m**4 + 123677 - 480778*m + 190503*m**2 + 104278*m.\nAnswer: 3*(m - 250)**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(512)*-2*-4 + (2 + 1 + sqrt(800) + sqrt(800) + sqrt(800))*2.\nAnswer: 9 + 248*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 100 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/13 + 6088*m**2\/13 - 24384*m\/13.\nAnswer: 2*m*(m - 4)*(m + 3048)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**9)\/(m*m**(-9)\/m*m*m)*m**(1\/11)*m\/(m\/((m*(m\/(m\/m**(2\/15))*m)\/m)\/m)*m) assuming m is positive.\nAnswer: m**(2677\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 5. Suppose -56 = 3*c - 17. Let g be v(c). Let z be 3\/12 - 14\/g. Solve -z*b - 7 - 1 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1431248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2416083 and 8814?\nAnswer: 7098451854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1527*u**3 + 1802*u**2 + 7. Let c(x) = 763*x**3 - 901*x**2 - 4. Let i(j) = -7*c(j) - 4*k(j). Find the third derivative of i(y) wrt y.\nAnswer: 4602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6900 + -5?\nAnswer: 68a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 7. Let q be x + -1 + 2 - -2. Solve -28 = -4*o - 3*k, -4*o + 2*o + 4*k - 8 = q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4068 and 13142691.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*l + 1567*l + 273*l - 341*l - 256704 = 0 for l.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 + -13.32. Let z = 22 + -35. Let l = h - z. What is the closest to -2 in l, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*s + 60 = -45*s. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/5)*(w*w\/w**(2\/13))\/w*w**4*w*w**(-3) assuming w is positive.\nAnswer: w**(159\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14)\/((-1)\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 3. Let x = 9109\/1159 + -473\/61. Which is the second smallest value? (a) x (b) 3 (c) 1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48536822 to the nearest integer?\nAnswer: 6967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 1. Let n(i) = -6*i - 3. What is -2*k(c) - n(c)?\nAnswer: 10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 24450*h**2. Let o(a) = 26*a**2. What is o(g(u))?\nAnswer: 15542865000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.4 + -0.4. Sort d, -1\/2, -2 in descending order.\nAnswer: d, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.04 - 0.04. Suppose 0 = 2*m + 6 - 14. Put m, -2, z in descending order.\nAnswer: z, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406872 by -12.\nAnswer: -33906","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/488 and -32\/4819.\nAnswer: 38552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1250) + sqrt(1250) + 2*sqrt(1250))\/((sqrt(60)*-1)\/sqrt(6)).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p = 8*p + 18. Suppose -p*a = 4*c, a + c + 19 = 6*c. Let m be 1\/((20\/(-15))\/a). Solve 20 = -2*g - m*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119448 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-2 - 4) - -1) + (-3865 - -3900)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -94*v + 1958. What is the tens digit of g(-125)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6155800 to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 8, -2603 in descending order.\nAnswer: 8, -0.2, -2603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3)*(-3*o + 4*o - 2*o) + 9 - 8*o - 9 + 3*o - 3*o - 2*o + (-3*o - o + 5*o)*(2 - 1 + 0) + 23 - 23 + 34*o in the form r*o + q and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 228 and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104167541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {z: 3, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21432 and 1154649.\nAnswer: 2679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 2*n + 10, 0 = -5*x + 7*n - 10*n + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihhiihihhhih. Give prob of picking 3 h.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/18 (b) -4 (c) -5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 2*n**2 + 3*n**2 + (0*n**2 + 0*n**2 + 3*n**2)*(-4 - 1 + 3)*(2 + 1 - 5).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 1 - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2 + 2 - n - 4 - 1. Determine s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3940, -17185, -39728, -71569, -112708, -163145?\n\"Answer: -4649*z**2 + 702*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 2*s**2 + 6*s + 1. Let v be n(3). Let t be 54\/90 - 4\/v. Determine h, given that 0 - 1\/5*h**2 - t*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 913*u + 5426. Determine k(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1427401113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9181 is divided by 164?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (2 + -13)) + (2 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8950859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 16*a - 3*a - 75. Let k be 1 + 0 - 478\/474. Let r = 152\/711 - k. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 - 1 - (10 + 8 - 17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x. Let z(u) = 8*u. Calculate 10*r(f) + 6*z(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49, 50, 53, 58, 65, 74?\n\"Answer: r**2 - 2*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p**2 - 14*p**2 + 13*p**2 + (-6*p**2 + 3*p**2 + 4*p**2)*(0 + 1 + 1).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*686.\nAnswer: -68.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 7*y**3\/2 - 4*y**2 - 3*y. Let c be m(8). Suppose 0 = -4*i - 2*r - 2*r + c, -4*r = -5*i + 173. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 4. Let l be t(2). Suppose 0 = -16*x + l*x + 48. Suppose x*y + 706 = 6*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cecceccc?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1152)*2*-2 - (-2 + ((sqrt(32) - 1*(sqrt(32) + 2*sqrt(32))) + -3)**2))*-6.\nAnswer: -2592*sqrt(2) + 810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-34 + 14 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -j - 142132, 3*m = -3*j - 7361 + 92615. Round m to the nearest 100.\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*x + 44, -10*j - 10*x + 6*x = -172. Let y = -22 - -38. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. Suppose -5*l + g*l + 7 = -2*d, 2*l = -2*d + 14. What is the lowest common multiple of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2, -6393, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -6*o - 10. Suppose -2*w = -5*b - 1563, -6 = o*b + 3. Calculate the highest common divisor of 86 and w.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 23*r**2 + r - 24. Let m = 39 + -16. Let u be j(m). Put 4, -5, u in decreasing order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 0*x**2 - x**2 + (6*x**2 - x**2 + 0*x**2)*(-3 - 2 + 3))*(-3*x**2 + 4*x**2 + 0*x**2).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 14*k**3 - 268*k**2 - 5455*k + 8. Let w(z) = -19*z**3 + 357*z**2 + 7274*z - 11. Let n(i) = 11*s(i) + 8*w(i). Find the second derivative of n(l) wrt l.\nAnswer: 12*l - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 times -1?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5821*4\nAnswer: -2.3284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -120c07e?\nAnswer: 120c07d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 171 - -4?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(21168\/(-140)))\/(14\/672*-4).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502171377 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in months?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 13. Suppose 25 - 7 = 3*u + 3*p, u - 2*p - 12 = 0. Is b(u) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 29*a - 58. Let z be y(14). Let g = z - -233. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 329, 744, 1325, 2072, 2985?\nAnswer: 4064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + 1 + sqrt(1584) - (sqrt(1584) + 0 + sqrt(1584) + -1)) + 6*-4*(sqrt(1584) + sqrt(1584) + -1)*-5)**2.\nAnswer: -648168*sqrt(11) + 90492433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -96.\nAnswer: -5\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 15*z**2 - 85*z + 54. What are the prime factors of f(21)?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5\/21 + 16*w**4\/21 + 2*w**3 + 44*w**2\/21 + 16*w\/21 = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = x + 2*x. Suppose 5*l - 5 = -4*y + 23, -l + x = 3*y. Solve d - y*d = -2*i + 7, 5*d + 25 = 5*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let c = 3.5 - 3. Let y = 1 + -3. What is the closest to -0.2 in c, y, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t - 1)*(2*t**2 - 2*t**2 - 2*t**2) - 2*t**3 + 4*t**3 + 5*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 43*f + 544. Is j(28) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 2. Let l be p + (27*2)\/2. Suppose -3*x = -l - 13. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74\/143 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (0 + 6)) + 7 + 13 + -20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10211001121222 - 1?\nAnswer: -10211001122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p = 3*o - 101, 0 = o - p - 31. What is the remainder when 64 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/656 and -97\/18.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 1 - 9. Let p(x) be the second derivative of 0 + 0*x**2 + 1\/180*x**6 - x - 1\/120*x**5 + 0*x**m + 0*x**3. Factor p(t).\nAnswer: t**3*(t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14314 and 2526?\nAnswer: 42942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h + 6. Suppose -5*f - 3 = -y, h*f = -3*y + f + 60. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*m + 655*m - 1316*m + 262 - 3137*m**2 - 262.\nAnswer: -3137*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 5*x - 5*x - 3. Let t be c(7). Suppose -t = -d - 3*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g + 2*g + 0*g)*(3 + 0 - 2) + 49*g - 23*g - 23*g + 5)*(4 + 5 - 3).\nAnswer: 12*g + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-14) + 9\/2. Suppose 0 = -w*f + 228 + 72. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2262*i**2*l**2 - 659*i**2 + i*l**2 - 3*i*l - 9790*i + 3*l**2 wrt i?\nAnswer: -4524*l**2 - 1318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -733798 or -733797?\nAnswer: -733798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 27*k**2 - 150*k - 121. What is r(15)?\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*x + 21. Suppose -x*j - 103 = -a, 5*a - 458 = -0*a - 4*j. Let w = a - 49. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181 - 907\/5. Let o = -1 - 0. What is the nearest to o in 5, h, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from abwww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(49)\/sqrt(1575) - (2 + 2*sqrt(252))).\nAnswer: -179*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -10 - (14752\/1650 - 38\/627)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2312 * 7\nAnswer: 1.6184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 884?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -99 < -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 plus 5006.4?\nAnswer: 5203.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226774432?\nAnswer: 2, 29, 43, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1788762330.\nAnswer: 2, 3, 5, 19875137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29\/9 - 107\/36. Let t(l) be the first derivative of w*l**4 + 8 + 9*l + 0*l**2 + 0*l**3. Determine t(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 17 = 5*r - 27, -d + 11 = -2*r. Let k(b) = -4*b - 16. Let m be k(-4). Suppose -5*g + 2 + d = m. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62084587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*a + 24*a + 1040. Solve 15*t = 10*t - a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 + 34 = -14*i. What are the prime factors of (i\/(110\/(-12)))\/((-12)\/(-2200))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/1)\/(-1)*(-91)\/819. Let i be 28\/(-3) - (-8)\/18*3. Sort 2, 0, z, i in decreasing order.\nAnswer: 2, z, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + 0*y**3 + 2*y**3)*(12*y - 7 + 7) + 466 - 466 - 4*y**4.\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = 19*z - c - 29, -18*z + 74 = 4*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90720 by -1620.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - -15502.\nAnswer: 15502.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 9*h - 24 = 0. Suppose 2 = 5*n - h. Sort n, 5, 0.\nAnswer: 0, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3520))\/((sqrt(99)*2)\/sqrt(9)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*k**5 - 129*k**4 + 129*k**4 + (2*k**4 + k**4 - k**4)*(k - k - k) + 3*k**5 - 6*k**5 + 0*k**5.\nAnswer: -44*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -181, -213, -247, -283, -321, -361, -403?\n\"Answer: -l**2 - 29*l - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/5 (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - f + 81. Calculate the common denominator of (f\/6)\/(24\/25) and -53\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*h - 23 = 0, -3 = -u - 2*h - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -235*s + 15 + 2 + 99*s + 1 to the form t + a*s and give a.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, g: 5, k: 1, v: 1, z: 6, y: 1}. What is prob of picking 2 g?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1302*v - 1816 = -40876 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1757 + -0.0757. What is the nearest to 0.1 in u, 3, -4, 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - 6*f)*(559*f - 5*f**4 - 559*f + 13*f**2).\nAnswer: 20*f**5 - 52*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 2 - (-5 - -6)) + -1 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-11)*z**(-2\/3)*(z\/(z*z**(4\/7))*z)\/(z*z\/(z*z**(-15)*z)))**(2\/97) assuming z is positive.\nAnswer: z**(-1060\/2037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-210)\/(-6)))\/(8949\/1099)?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831049.\nAnswer: 307, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(-3\/14)*j)*j*((j**14\/j)\/j)\/j assuming j is positive.\nAnswer: j**(157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-275)\/(-30) + 4\/(-24). Calculate the lowest common multiple of 24 and 0 + j\/((-9)\/(-4)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 391632 and 48954.\nAnswer: 391632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:33 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1777.9999661 + -1778. Round y to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1747 - 1713. Solve 25*h = m*h - 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 + -126 - (91 + 4 + 6)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1193\/6 and -199 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/14*1*259\/74?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134901 (base 10) in base 2?\nAnswer: 100010101000100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Suppose 0 = -4*q - 2*g - 0*g + 96, b*g = 0. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -21\/4 (b) -4\/7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 6 - 4. Let h be (141\/27 - -3) + 6\/(-27). Suppose -2*m = -3*s - 6*m - h, 5*s + 3*m = -6. Solve w + q = -s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 1. Let g(k) = -9*k**2 - 2*k + 7. Let p(j) = g(j) - 6*m(j). Let u(f) = 4*f**2 - 2*f - 6. Let l(t) = 3*p(t) + 7*u(t). Find n such that l(n) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*h - 3731 = -1005. Let i be 3\/((-145)\/h - (-2 - -3)). Solve -2*x = 4*o + 3*x + 26, -5*o = i*x + 24 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067236 - -6027501381.\nAnswer: 6027501381.067236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-70263446.\nAnswer: 140526892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0671 and -8.36?\nAnswer: 8.2929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/2)\/3*144\/120. Solve y + k = 3*y - 3, 15 = q*k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2499 - -10903.\nAnswer: 13402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/2, -90, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*h - 14*h - 10*h - 15*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 - 2*i. Let w(d) = -11*d**2 + 5*d. Let c(k) = -5*h(k) - 2*w(k). Let q(l) = -1994 + 1994 + 4*l. Determine q(c(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -5327?\nAnswer: 5329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - j**3 + 2*j**4 + (0 - 2 + 4)*(-2*j**2 + 2*j**2 - j**4) + 5*j - 5*j + 4*j**4 - j**4 + 3*j**2 - 3*j**2.\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4, b = -5*n - 6 + 33. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/3, 47, -2, -8\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2686*p**5 + 262*p**2 + 2049727*p wrt p.\nAnswer: 53720*p**3 + 524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/4976006 and 59\/72507516.\nAnswer: 507552612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljsl when four letters picked without replacement from ljjjjjljjjsjjlllj?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.9, 2, 1, -36?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*c**3*f - 1272*c**3 - 2*c**2*f - 232*c*f + 2*c + 2*f - 89 wrt c.\nAnswer: -162*c*f - 7632*c - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38\/3 + 8\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2) + 1)**2 - (-6*sqrt(21)\/sqrt(3))**2)*6 + -1 + -3.\nAnswer: -1468 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0105 from -1464.\nAnswer: -1464.0105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -11*h**6\/20 + 3*h**5\/5 - h**3\/3 + 15*h**2. Find the third derivative of l(d) wrt d.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 2*t = 5, 28 = 3*p - 3*t - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(468) + 2*sqrt(468)*-1 + 0 + -5)*-2)**2.\nAnswer: 192*sqrt(13) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 32\/(-20))\/((-1)\/5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from qudnt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - 7.98. Let y = -9 - r. Let m = -1 - y. Which is the biggest value? (a) m (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-15)*i)*i*i\/(i**(-26)\/i)*i)**(-1\/18) assuming i is positive.\nAnswer: i**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**5 - h**5 + 3*h**5 + (-2*h**5 + h - h)*(2 - 1 + 1) - 1 + 1 + h**5 + (3*h - h + 2*h)*(2*h**4 - 2*h**4 - 3*h**4).\nAnswer: -17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2. Let g(m) = -m**2 + m - 1. Let d(q) = -q + 1. Let s(p) = -6*d(p) - 6*g(p). What is s(b(r))?\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 11925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**3*y)\/y**(-1\/3)*(y\/(y\/((y\/y**(-1\/5))\/y*y)))\/y**(-1\/8))\/((y\/y**(-1\/4)*y)**43*(y\/y**(-5))\/y**6) assuming y is positive.\nAnswer: y**(-11531\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -11. Suppose -q*c + 7*c = 8. Suppose 0 = 3*j + 2*h - 15 + 1, -3*h = -4*j + 47. Solve 3 = c*i - b, 5*i - j - 16 = -3*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16598 and 14018?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p - 14. Let l be (-54)\/12*(-8)\/(-12). What is the units digit of z(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*i + 7 = 0, -14*i + 4 = 5*x - 13*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/4335 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065 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: What are the prime factors of 6748?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:34 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148 and 19573.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280984.\nAnswer: 2, 17, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 12:21 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -21\/197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 6*u - 1 = 0, 4*i = 5*u - 111 + 71 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26199, -27407, -29427, -32265, -35927?\n\"Answer: -b**3 - 400*b**2 - b - 25797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**2*g*o**3 - c**2*g + 3*c**2*p - 6*c*g*o**3 + c*g*o*p + 123*c*o**3 wrt c.\nAnswer: 24*g*o**3 - 2*g + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 - 2) + 10 + (2 - -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2 = 2*h - 0, -y = 2*h - 7. Let a(d) = -4*d**5 + 6*d**2. Let j(v) = v**2. Let s(n) = y*a(n) - 2*j(n). Find the third derivative of s(r) wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5814.17 to the nearest 100.\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -6*j + 28. Suppose 2*f - 47 - 38 = v, 2 = j*f. Let q = 91 + v. What is the lowest common multiple of q and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -12*g + 48. Let o(y) = -y**2 + 2*y + y + 4 + 0. Determine o(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 604, 843, 1078, 1303, 1512, 1699, 1858, 1983?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 8. Let v be (-4)\/(-28) + (0 - 20\/(-7)). Let y be z(v). Let q(c) = 0*c + 6 - 3 + 2*c - c**2. Determine q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22846.5*140\nAnswer: -3198510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1265\/(-44) - -30)*-32?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4 + sqrt(720))*5 + 0 + 3 + 0 + 1 + -5)**2.\nAnswer: 2760*sqrt(5) + 18529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51897 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: Three letters picked without replacement from hnzhmjzqhjhhhh. What is prob of sequence mjz?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7012529 to the nearest integer?\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 - c**3 + 3*c**3)*(4*c + 2*c - 4*c) + 702*c**2 - c**4 - 4*c**4 - 714*c**2.\nAnswer: -3*c**4 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 8. Let w be d(5). Suppose z - w = 32. Calculate the remainder when 133 is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2 - (-28 - -34).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -40, 3, 82, 203, 372?\n\"Answer: l**3 + 12*l**2 - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 111*v**3 - 2*v**2 + 2*v - 4. Let n(o) = 111*o**3 - 3*o**2 + 4*o - 5. Let k(q) = 3*h(q) - 2*n(q). What is the second derivative of k(l) wrt l?\nAnswer: 666*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56801003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049 + -3.8.\nAnswer: -3.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2001 - 238 = 586*b - 1753. Suppose 0*q + q - 4 = 0. What is the highest common divisor of q and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/(-55) - 1\/2. Let p = l - -1\/70. What is the fourth biggest value in -2, 4, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83235 divided by 16647?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 121 + -5255?\nAnswer: -5134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -2. Let g(i) = 5*i**2 - 3*i. Let u(m) = 6*m**2 - 2*m. Let n(p) = v*g(p) + 3*u(p). What is r in n(r) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 7*t + 2. Suppose -2*o + 0*o + 8 = 0. Suppose 4*i - 90 = -z, -o*z - 23 = -5*i + 79. Calculate the least common multiple of f(5) and i.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 32 (b) -2\/35 (c) -1\/4 (d) 4 (e) -2\/3 (f) -16 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 941, 996, 1051, 1106, 1161?\n\"Answer: 55*w + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-22)\/(-6). Let k = h + 2. Suppose 16 = 2*t + 12. What is the greatest common factor of k and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 25.9. Let m = i - -5.1. Let t = m - 3.8. Put t, 2\/19, 1 in decreasing order.\nAnswer: 1, t, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 12 - 3 = -5*c, -2*c + 1 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 332\/(-6)*9\/3*(-34 - -33). Solve 0 = -q*c + 149*c + 102 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 106, -112365 in decreasing order.\nAnswer: 106, 13, -112365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 0, -5*j + 1046 = -4*j + o. Calculate the greatest common factor of j and 2552.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x = 117*x - 1644898. What are the prime factors of x?\nAnswer: 2, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1554, -2979, -4478, -6087, -7842, -9779?\nAnswer: -11934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*d + 27, -43 - 47 = -y - y + 10*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 457\/4, -5 in descending order.\nAnswer: 457\/4, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1369935858 and 7974?\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 213 = -5*x - 4*u, -5*x + 3*u = -134. What is the highest common divisor of x and 1792?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37883597 to the nearest integer?\nAnswer: 6155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22112 - -11?\nAnswer: 22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1016 - -567. Let n = 65 - c. Suppose 4*m - n = -x + 146, -2*m + 336 = -x. What are the prime factors of m?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26131079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36312076 or -181560378\/5?\nAnswer: -36312076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*i - 2, -5*i + 15 - 49 = -l. Let m be i\/4*(-6)\/9. Let t(d) = -d + 4. Let u be t(0). Sort m, u, -5.\nAnswer: -5, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3516.02736 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + (sqrt(176) + 0)*2 - (1*sqrt(176)*-3 + -5)*1)**2.\nAnswer: 440*sqrt(11) + 4521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 76238 (b) 3\/5 (c) -2 (d) -4 (e) -1\/4 (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1021133 and -0.5?\nAnswer: 510566.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.8 - 41.2. Let y = o - -50.1. Sort y, -5\/8, 4 in descending order.\nAnswer: 4, y, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 10 = -4*s, -6*s + 5*s + 8 = 5*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -51, 0, -48 in ascending order.\nAnswer: -51, -48, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2220182305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 106 - -2*(0 - -1). Let d(b) = -b**3 + 8*b**2 - 3*b - 4. Let o be d(4). Suppose -2*y - o = -6*y. What is the greatest common divisor of v and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*72\/((-36)\/4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2538 and 40\/81.\nAnswer: 7614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*n + 134 + 170 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:58 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**3 + y**2 - y**2)*(-3 + 1 + 5)*(-3 + 8 + 3)*(5 - 8 - 4) to w*y + d*y**2 + i*y**3 + k and give i.\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 17 + 5. Suppose 11 = -p + 4*o, j*p + 4*o = 23 + 24. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 3*z + 11, 0 = 5*k - 0*z + 3*z - 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = m + 4*m - 30, 3*m - 18 = 3*q. Let w(f) = 3*f**2 - 5*f + 1. Is w(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007779458 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 754 - 754.1. Let w = -1.3 - -1.1. Which is the nearest to w? (a) 0 (b) v (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbpbpppbbbpp. What is prob of sequence bb?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 10 = 4*c - 7, -t = -2*c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -45. Let u = -265 + 267. Suppose -u*i + 47 = 31. Calculate the least common multiple of y and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 146143*v + 2192364. Determine d(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-29 + 21)) + (-6 - 2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210464.\nAnswer: 2, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2938\/3 + 980. Let 5\/3*w**2 + f + 7\/3*w = 0. What is w?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -3)\/(1\/(-37)). Let p = h - 11. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from accaaa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823960 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 30) + 4 + (3 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 27 = 153, -43 - 20 = -5*t - 19*k + 23*k + 56 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 45720 = 5*v, -3*v = -4*i - 3987 + 40577. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -127, 4 in increasing order.\nAnswer: -127, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 + 11*n**2 - 11*n - 21. Let y be i(9). Let r = 2431 + y. List the prime factors of r.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.03, -0.1, -2\/5, 233.\nAnswer: -2\/5, -0.1, -0.03, 2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1104 (base 5) to base 15\nAnswer: a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69.3 + 63. Let g = 6 + u. Let p be ((-102)\/(-2295))\/(3\/60). What is the nearest to 0 in -1, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/4*554\/9. Let w = d + -93. Is w greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 808080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**1)**(-1\/8)\/(d*d**0*d*d**1\/d))\/((d**(-2\/21)*d\/(d**0*d))\/(d**(-4)\/(d\/(d**(2\/9)\/d*d)))) assuming d is positive.\nAnswer: d**(-1747\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.012 + 184366.\nAnswer: 184365.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 7*n - 4. Suppose f + 5*m = 91, -2*f + m - 5*m + 200 = 0. Let v(c) = -9*c + 3*c**2 - f + c**3 - 104 + 209. Let r be v(-5). Determine s(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2576, -2569, -2554, -2531, -2500, -2461?\n\"Answer: 4*r**2 - 5*r - 2575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a + 4 = 0. Suppose 0 = -3*f - 3*b - 9, 0 = 5*f - 0*b + 2*b + 6. Suppose f = 5*j - 10 - 5. Solve -15 = a*l + j*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 25*q + 153. Let k be v(11). Let z(f) = 3*f**3 + f**2 - 9. Let p(t) = t**3 + t**2. What is k*p(h) + z(h)?\nAnswer: 2*h**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1527\/11 - -139. Let v(p) = p**3 + p**2 - p + 1. Let t be v(0). Let a = t + -1\/2. Sort a, 0.1, y in descending order.\nAnswer: a, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 24394*h + 48780.\nAnswer: 2*(h - 12195)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3726*o = 3773*o + 611 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3676, 7447, 11232, 15037, 18868?\nAnswer: 22731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 0*h**2 - 1\/3*h**6 - 4*h - 28\/3*h**3 + 0*h**4 + 0*h**5 + 87 + 10\/7*h**7. What is the third derivative of d(o) wrt o?\nAnswer: 1200*o**3 - 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 11:04 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-20)*2 - (-9)\/(-15). Suppose 5*z - 1350 = 2*g - 511, -328 = -o*z - 3*g. What are the prime factors of z?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 12. Let q(s) = -7 - 16 + 15 + 8*s + 2*s. Is 18 a factor of q(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/(-21) - (16\/80 - 164\/20).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, v: 2, i: 6, w: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11559 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: Solve -4*x**5 + 4*x**3 + 20*x**2 - 2*x**4 - 24*x**2 + 6*x**4 = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338036713 minus -2?\nAnswer: 338036715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 111988*u + 2. Let h be b(1). Suppose -2*f + 89610 = 2*f - 5*v, -h = -5*f - 5*v. Round f to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 61684.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -350000 from 3.\nAnswer: 350003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 730, 1454, 2178, 2902?\n\"Answer: 724*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100, 201, 302?\n\"Answer: 101*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03783 rounded to 3 decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 9:44 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i - 55. Let h(m) = -2*m + 2. What is -3*h(v) - l(v)?\nAnswer: -2*v + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*s + 12, -6*i + 3*i + 11 = -2*s. Suppose -2*v = -g - 1 - 14, -5*v = -i*g - 50. Solve -4*c - h - 4*h - 7 = 0, v*c + 3*h - 1 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -72. Let z = 28 + a. Suppose -5*y + 0*u + u + 235 = 0, -z*u = -4*y + 177. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1*-1 + sqrt(114))*-5)\/(6*(sqrt(294)*-2 + sqrt(294) - sqrt(294)) + sqrt(294))*-5.\nAnswer: -50*sqrt(19)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 - i - 15. Let w(o) = -6*o**2 + o + 14. Give -5*t(x) - 4*w(x).\nAnswer: -x**2 + x + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5391921 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 (base 7) in base 12?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7421483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -1004*c**4 - 3134496*c**3\/7 - 3568*c**2\/7 = 0?\nAnswer: -446, -2\/1757, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*j + 38, -8*v + 35 = -4*v - j. Suppose -r = -3*x - v, -r - 3*x - x + 44 = 0. Calculate the greatest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 11*t - 15. What is d(-7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from {n: 1, b: 1, c: 2, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-45)*q*q\/(q\/(q*((q\/(q*((q**(-8\/5)*q)\/q*q)\/q))\/q)\/q))*(q**29\/q)**(-29) assuming q is positive.\nAnswer: q**(-4277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/((26\/(-6))\/((-16)\/(-8)))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzm when three letters picked without replacement from vmvmvpmjzvp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.0078 - -1.0078. What is the fourth biggest value in -3\/2, m, -0.054, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + f**3 + 3*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 10.89.\nAnswer: 185.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -13 - 27. Solve -4*r - f*g + 22 = -5, 0 = g - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21014134 (base 5) to base 12\nAnswer: -84184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 2*w**2 + 2*w. Let k be l(-1). Suppose k*h - 5*b + 19 = 0, -3*b - b = -h - 14. Is 638 + 5\/(-2) + 1\/h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**6\/3 + 12*d**5\/5 - 7*d**4 + 32*d**3\/3 - 9*d**2 + 4*d + 12. Find f, given that a(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n + 6. What is the tens digit of i(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 5:42 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.46 and -55315099.\nAnswer: -55315098.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11486657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 130 = -50. Let w = 14 + g. Calculate the remainder when w is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 187*k**2 - 137*k?\nAnswer: 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, x: 3, l: 6, q: 3, c: 4}. What is prob of picking 2 s?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 5 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. List the prime factors of -6*(24\/(-9) + t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5. Suppose -4*u = -3 - w, 5*y - 11 = -u. Calculate the remainder when (102\/y)\/(3 + -2) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**6\/144 - o**5\/120 + o**4\/12 - 2*o**2. Let r(x) be the second derivative of j(x). Differentiate r(a) wrt a.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -255*l + 87*l + 82*l - 2 + 4*l**3 + 88*l - l**2. Let a(z) = 12*z**3 - 4*z**2 + 7*z - 7. What is -2*a(q) + 7*t(q)?\nAnswer: 4*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 10*p**2 + 3*p + 70. Let o be k(8). Calculate the remainder when 78 is divided by (o\/(-4))\/(-3)*(9 + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.193 (b) 0.5 (c) -7599.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31580 divided by 4?\nAnswer: -7895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*x**2 - 4 + 31*x**2 + 4 to the form r*x + h + m*x**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-50)\/(-15))\/(2\/3)*3704396\/20 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (150\/100)\/(2\/(-8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*c + 2*c - 180, c - 106 = 3*i. Suppose -4*h - 34 = -c. What is the highest common factor of h and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.3, -12014, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 85 + 155 = 0. Find the common denominator of 2 - (-181)\/g - 5\/40 and -109\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 951.8298ng?\nAnswer: 0.0000009518298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let f be (-14)\/21*15\/(-2). Put f, -5, n in descending order.\nAnswer: f, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-9)*(-13 + 4). Let g(r) = 2*r**2 - 13*r. What is g(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 16*h**2 + 37*h - 55. Give g(3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -126. Suppose -4*m + w = 5*b, 5*m - b = 14 + 51. What is the remainder when 77 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -277383, -554753, -832123, -1109493, -1386863, -1664233?\n\"Answer: -277370*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b + 18. Let w be d(-5). Suppose -1 + w = m. Let x be (1 + m)\/(-1) + 4 + -392. Round x to the nearest 10.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**3 + 25*m**2 - 39*m + 7. Let w(f) = -7*f**3 - 25*f**2 + 40*f - 7. Let k(z) = 6*u(z) + 7*w(z). Is k(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 539*g**3 - 6*g**2 - 1789*g**3.\nAnswer: -1250*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1835.84um to kilometers.\nAnswer: 0.00000183584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400569814 to the nearest integer?\nAnswer: 20014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 243*s**3 - 3 + 4 as d*s**2 + n*s + h + b*s**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.99 + -0.01. Let b = a - 6. Let i = -0.077 + 1.077. What is the second biggest value in 4, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36310 (base 8) to base 2\nAnswer: 11110011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15462404 divided by 2.\nAnswer: 7731202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + p + 1. Let w be z(2). Suppose -3*x = 3*n - 0*x + 207, 0 = 3*x - w. Let d = -7 - n. What is the remainder when d is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*v + 59 - 41*v - 41*v - 59.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135 + -139. What is the common denominator of -65\/38 and (2\/m)\/((-5)\/455)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.0955 - -1.843. What is b rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/5 + 114081*c**2\/5 + 2058318*c = 0. What is c?\nAnswer: -90, 0, 38117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.53268 nanometers in micrometers?\nAnswer: 0.02653268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 32*f**3 - 2*f**2 + 1. Let g(w) = 29*w**3 - 2*w**2 + 1. Give 3*a(z) - 2*g(z).\nAnswer: 38*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4838063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/((3132\/(-60))\/(-29))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 + -0.1. Suppose -q + 48 = -0*q. Let s = -142\/3 + q. What is the nearest to w in s, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 11*t + 8. Let l(w) = -w - 1. Let c be l(-12). Let n be v(c). Suppose -n*i + 36 = -12. Solve -r - 16 = -2*j - i*r, -2*j - 20 = -4*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -58, 151, 444, 821, 1282?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 10*l - 14. Let y be c(-11). Let q be 2\/(0 + 1\/(-2)). Let m be -14*(2\/q + y). Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/12 - -3)*(4 - 2). Suppose -f*x + 2084 = -9400. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -0.288 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 32.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/1224 + -2\/153. Let c(b) be the third derivative of k*b**4 - 1\/6*b**3 + 0*b + 2*b**2 + 0. What is the derivative of c(s) wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10290 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 79*h + 9. Is 21 a factor of g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 31. Suppose 6*y + 675 = y. Let r be 3 + y\/(-3 + 0). Calculate the highest common factor of g and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2214 + 2471 = 5*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8503*d - 11*d**2 - 9*d**2 + 8381*d in the form g + z*d + i*d**2 and give z.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -97*w + 44*w - 21*w**2 + 56 - 46*w - 26 = 0?\nAnswer: -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - m - 12 = s, 5*s = -5*m + 15. Factor 9\/2*o**2 - 2 - 11\/4*o**s - o + 1\/2*o**4.\nAnswer: (o - 2)**3*(2*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -32*u**2 - 32*u. Let n(t) = t. What is -j(q) - 32*n(q)?\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*z**3 - 41*z**3 + 145*z**3 - 54*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/5)*a**1)**21*(a**1\/(a\/(a**(2\/15)\/a*a)))\/(a*a*a\/((a\/(a*a\/((a**(-1\/4)*a*a)\/a))*a)\/a))**40 assuming a is positive.\nAnswer: a**(-1822\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 17. Let q be l(6). Suppose -4*u + 22 - 2 = 0. What is the greatest common factor of q and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 18*b + 58. Determine l(0).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -589*t + 2421. What is the tens digit of r(-37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**8\/56 - 25*g**7\/14 - g**4\/4 - 25*g**3\/3 - 232*g. What is the third derivative of r(l) wrt l?\nAnswer: -120*l**3 - 4500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7222 - -60193. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -95. Suppose -8 = 2*b, -2*c + 50 = c - 5*b. Solve 2*v - v - 2*o = -c, 2*v - 2*o = -h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -406, -341, -210, 5, 322, 759?\n\"Answer: 3*m**3 + 15*m**2 - m - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -64 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x**3 + 104*x**2 - 25*x + 403. Let z be n(13). What is the highest common divisor of z and 728?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3378*o**2 - 3. Let s(r) = -5*r. Calculate s(a(q)).\nAnswer: -16890*q**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1040804 (base 16) to base 3\nAnswer: 1012001210102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:06 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17042*d + 17029*d = 130 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 20. Let i be (7\/3)\/(b\/165). Calculate the greatest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5*r**2 + 6203*h**2*r**2 - 325*h - 2*r**2 wrt h.\nAnswer: 20*h**3*r**2 + 12406*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from {i: 2, m: 4, v: 1, s: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 504 + 616. Is 40 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**6 + 7*k**4*t**2 - k**2 - 4*k*t**2 - 2*k wrt k.\nAnswer: -720*k**3 + 168*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11712 and 447984.\nAnswer: 1791936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -875801559 and -5.\nAnswer: -875801564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 320\/(-1512) + 5*(-8)\/(-140)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74076371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**2\/2 + 7849. Let o(b) = -2926*b**2. What is o(s(h))?\nAnswer: -2926*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3399*i + 30599. What is p(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-70)\/(-8) + 8\/32. Suppose -y = 4*r - 89. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.6 + -2.6. Let g = t + -8.8. Let y = g + -1.4. Put -0.5, y, 0 in decreasing order.\nAnswer: 0, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, u: 3}. Give prob of picking 2 r and 1 u.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47117734 is divided by 1727.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -48*w + 72. Let i(g) = -7*g + 10. Let z(c) = 5*a(c) - 36*i(c). Let v(u) = 8*u. What is v(z(o))?\nAnswer: 96*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -95.0423989 and 0.386?\nAnswer: 95.4283989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 260 and 3.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 6 + 104 + 122)*(60*p**2 + 31*p + 24*p - 54*p).\nAnswer: 11820*p**2 + 197*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1141? (a) -2 (b) -2\/7 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3 and 4\/4 + 3\/(126\/(-69)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -232032303 - -102?\nAnswer: -232032201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12899954, 12899956, 12899958?\nAnswer: 12899960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 878*b + 337*b**2 - 1027*b + 319*b**2 wrt b?\nAnswer: 1312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8779025 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*x = 120 - 173, -3*x = -6. Solve -5*t = -p*t - 128 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 22)\/((-12)\/(-116)). Let w = s + -118. What is the greatest common factor of 34 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 11*l**2 + 12*l + 14. Let m be d(-10). Let g be ((-9)\/(-3))\/(m\/(-4)). Suppose 4*r - g*r = 12. Solve y + r = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 621*n**3 + 13*n**2 - 11*n + 11. Let k(o) = -207*o**3 - 5*o**2 + 4*o - 4. What is 4*h(i) + 11*k(i)?\nAnswer: 207*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 6 - 18 - 87*c**2.\nAnswer: -87*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295153.9m in millimeters?\nAnswer: 295153900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 7*r**2 + 13. Let c be 3\/((-15)\/(-2)) - 114\/(-15). What is the remainder when k(c) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 140 - 267 + 139 + 84*q. List the prime factors of a(2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396979 and 59763384?\nAnswer: 657397224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*q - 9 = -440*q + 3*d, -4*q - 4*d + 16 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -11*x**2 + 90*x - 240. Let d(w) = 2*w**2 - 19*w + 48. Let t(v) = 21*d(v) + 4*y(v). Give t(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 3, u: 1}. What is prob of sequence du?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*m - 8*m + 69*m.\nAnswer: 128*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y + 5. Let m be d(7). Let n = -389\/6 - m. Let g be (15\/(-9) + 2)*-1. What is the third biggest value in -1, n, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r**3 + 13*r**2 - 1. Let z(p) = -26*p**3 + 39*p**2 - 3. Determine 7*l(c) - 2*z(c).\nAnswer: -11*c**3 + 13*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -112.4. Let o = b - 12.4. Sort 7, -3, o, -0.4 in decreasing order.\nAnswer: 7, -0.4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggvggggvggvvg. What is prob of picking 1 v and 2 g?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -2 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2792*j**3 - 97 - 2975*j**3 + 5702*j**3 + 97.\nAnswer: -65*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6)*(-2 + -1). Let f = 1018.2 - 1018. What is the closest to f in -2, u, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2621, 10817, 24477, 43601, 68189, 98241?\n\"Answer: 2732*t**2 - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/3 - 8612*n**3 - 85251554*n**2\/3 - 3905955376*n - 411411576608\/3.\nAnswer: -2*(n + 71)**2*(n + 6388)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273\/39)\/((-15)\/690*14).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -520686156 divided by -3\nAnswer: 173562052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27\/7 - -257\/63. Sort r, 2\/11, 2\/7 in decreasing order.\nAnswer: 2\/7, r, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.067 - -0.017. Which is the nearest to 0.1? (a) 2 (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n - n + n**2)*(24 - 8 + 16) - 2*n**2 + n**2 + 2*n**2)*(-4 + 1 + 4).\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1688673?\nAnswer: 3, 7, 97, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72894.957 - 72865. Let r = 30 - x. What is r rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212.9 + -222. Let k = -8.6 - m. Suppose -6*z - 31 = -1. What is the biggest value in z, k, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - 17. Let y(c) = 3*c**2 - 11*c + 5. Calculate the remainder when y(6) is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 7*i + 7. Let k be m(-7). What is the greatest common factor of k and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(5) - sqrt(20)))**2 - sqrt(13)*1*-2.\nAnswer: 2*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -163.978\nAnswer: -4263.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1003445 is divided by 45603.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 486964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 + 3*k**2 - 3*k + 13. Let t be l(0). What is the highest common factor of t and 20488?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:35 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 u, and 1 w when three letters picked without replacement from {l: 1, w: 5, u: 5, z: 6}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z - 5*z)*(z**3 + z**3 + 0*z**3) - 2*z**4 + 2*z - 2*z - 2*z**4 + z**4 + 3*z**4.\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a961f (base 16) in base 13?\nAnswer: a45808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 0*t**2 - 79\/12*t**4 - 3*t + 21 + 0*t**3. Let s(q) = -2*q**2. Calculate s(y(x)).\nAnswer: -12482*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24229\/(-14*(-2)\/28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*i + 5*y + 18, 0 = 3*y - 12. Suppose 4*k + 0*k = 2*g + 16, 5*g + i = 5*k. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 8 = p, -d + 6*p + 28 = p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f - 10. Let h be d(5). Suppose -3*p = -2*t + 4*t - h, 0 = 4*t - 2*p - 10. Differentiate -t*q**2 + 2*q**2 - 44 + 43 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(4*q + 7*q - 14*q) to the form r + c*q and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, u: 9, q: 5}. Give prob of picking 1 f and 3 u.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 0 - 686\/(-7). Let t = 144 - k. Suppose t = 5*z + 10. Solve -2*y + 10 = -z*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30263 is divided by 164?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 < -3291.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*g + 396 = -24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + 9. Let q = w - 23. Find the third derivative of 2*u**2 + 6*u**6 + q*u**2 - 2*u**2 - 2*u**6 wrt u.\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*(sqrt(77) + 1*sqrt(77) + sqrt(77)) + sqrt(77)))\/(sqrt(567) - sqrt(21)\/sqrt(12)).\nAnswer: 84*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 41*r - 1. Let w(j) = -8*j**2 - 123*j - 2. Give -8*f(x) + 3*w(x).\nAnswer: -8*x**2 - 41*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 324*o**2 + o - 8. What is the tens digit of x(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.830619 minutes in hours?\nAnswer: 0.01384365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -439, -1008, -1805, -2830, -4083?\nAnswer: -5564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*y + 90*y + 2 + 92*y + 70*y - y in the form j + m*y and give m.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0.1. Let y be (((-2)\/3)\/(-2))\/((-92)\/(-552)). What is the nearest to 0.1 in 1, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/4 - -2 - (-5117)\/(-7004)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 353, 520, 685, 848?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 408171 and 39.\nAnswer: 5306223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 52320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 7. Let j be y(-12). Suppose -2*o + 264 = -5*z, 3*o - 218 - 153 = -j*z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0 (c) 1.36 (d) -1\/5 (e) -0.39 (f) 9 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1866)\/(-9))\/(-5 + (-4505)\/(-900)). What is h rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19440396*h**2. Let o(d) = -23*d**2. What is o(q(v))?\nAnswer: -8692366922646768*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nks when three letters picked without replacement from {g: 3, n: 2, s: 1, k: 9, h: 2}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3220 (base 4) to base 14\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 366, -353 in decreasing order.\nAnswer: 366, 5, 0, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-45) - (-539)\/(-210))*-88 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1785*t**2 + 310*t**2 - 1957*t**2 - 7241*t**2 + 191*t**2.\nAnswer: -10482*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qllttutbtbl. What is prob of picking 1 l, 1 b, and 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0254845 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208242 and 115690?\nAnswer: 1041210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 32*k + 242. Determine y(-40).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21179 or 21141?\nAnswer: 21179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036331.05 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*w + 2. Let q(v) = -2*v + 6*v - w - 3*v. Suppose -4*f = 2*o - 12, -5*f + 4*f = 4*o + 4. Determine q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 6*s**2 + 6*s + 5. Let z be i(-5). Suppose -f + 2*f - 27 = z. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-6))\/((-70)\/20)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/1650*-5)\/(2\/10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -15, 3*j = s + 4253 - 209. List the prime factors of j.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -91*q**2 - 26385*q + 1451. Determine f(-290).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*t - 9348890 - 9348898 + 18697788.\nAnswer: 282*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1490280 divided by -37257\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 2\/9 (c) -512 (d) 0.2 (e) 0 (f) 22 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(3 - 1 + 0)*(-3*w - 3*w + 2*w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 + -178.9. Let o = b + 22. Is 20.6 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 23, -4, 3 in descending order.\nAnswer: 23, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -60286 and -0.0558?\nAnswer: 3363.9588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + -69 + 83.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 + 30*m**2 + 81*m + 84. Determine x(-12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 13547598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 2*q**4 + 2*q + 0*q - q**4 + 0*q + (2 - 2 + 2)*(12*q**4 + 169 - 169).\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*w + 23 - 23 + ((1 - 1 + 3)*(1 - 4 + 1) + 0 - 3 + 1 + 0 + 0 + 2)*(-9*w + 3*w + w) as a*w + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2301, -2273, -2235, -2193, -2153, -2121?\nAnswer: -2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 775384.5 weeks to seconds.\nAnswer: 468952545600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {m: 1, b: 2, e: 14}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 12104057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b2a9b70 - 5?\nAnswer: 2b2a9b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375 - -279.3.\nAnswer: 654.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-1))\/(667\/69). Let d(q) = -2*q**3 - 7*q**2 - 3*q + 10. Let r be d(-2). Which is the closest to 1? (a) 0.2 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 243 - 4420534?\nAnswer: -4420251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15363 by 4.\nAnswer: -15363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.10725, -0.3 in increasing order.\nAnswer: -0.3, 0, 0.10725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((-4 - -9) + (3 + -1 - 2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((2\/5)\/((-1)\/15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 8. Let y(l) be the first derivative of 5*l**2\/2 + 8*l + 13. Let a(u) = -6*n(u) + 5*y(u). Give a(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -257624460 rounded to the nearest one hundred thousand?\nAnswer: -257600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379*q = 406*q - 486. Calculate the remainder when ((-15)\/(-10))\/((-2)\/(-68)) is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.61 + -3.81. What is the nearest to w in 0.2, -0.2, 4\/9, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47952 and 7499628?\nAnswer: 1109944944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 3:59 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-42))\/((-78)\/(-91))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -119 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) 5 (c) 2\/11 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -74. Calculate the smallest common multiple of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44132)\/826 - (-4)\/(-7))*2\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.36126 millennia in months?\nAnswer: 112335.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/1)\/((-16)\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((2 + sqrt(17) + 4 - sqrt(833)*3) + -6*4*sqrt(1377)*-1))**2.\nAnswer: 9408*sqrt(17) + 2612432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 12*t**2 + 6*t + 4. Determine d(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21842790?\nAnswer: 2, 3, 5, 17, 42829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-4))\/(6\/4844)?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 0 - 21*h - 74172*h**2 + 74561*h**2 + 3. Let l = -9 + 13. Is b(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 9*g**2 - 30*g - 44. Let w be x(18). Is ((-48)\/18)\/(-8) + w\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87507*a**3 + 87504*a**3 - 175007*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62839 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -24 - 3\/(-1). Let f = a - -18. Solve f = -5*w - 13 + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124 times 1\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 191*d - 11. Let h(p) = -96*p + 6. Let w(f) = -10*h(f) - 6*l(f). Is w(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 + -3 + (-19 - -80 - -1) + -5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -630 - 280. Let l = t - 28. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -64. Let i = s - 27. Let m = 25 - i. What is the second biggest value in 1, m, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let n(d) = -d. Let z(g) = 3*n(g) - 2*u(g). Let j be z(-3). Let b be 1\/(j + 4 + 0). Which is smaller: b or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00345287 rounded to 5 decimal places?\nAnswer: -0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104)\/(sqrt(4) - (sqrt(4) + sqrt(64)) - sqrt(4)))\/((sqrt(2) - sqrt(2)*1*5) + sqrt(14)\/(sqrt(21)\/sqrt(3) + sqrt(7))))**2.\nAnswer: 52\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1324*i = -1127*i - 2268 - 1856 - 604 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(-3)*(-1)\/((-15)\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*y + 7. Let u = -2.8565 - -0.0565. Let z = -2.2 + u. What is the fourth smallest value in -3, 0, y, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7081, -7108, -7137, -7168, -7201, -7236, -7273?\nAnswer: -7312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 5}. What is prob of picking 1 z and 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11818658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -308*d - 3381. Give a(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by -2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4 (c) -1\/3 (d) -7 (e) -70 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000656086 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -234a0 (base 11) to base 15\nAnswer: -a07e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(12)\/sqrt(2)*-1)*-4)\/(((-2*sqrt(528))\/sqrt(12))\/(5*sqrt(11)*1 + sqrt(11))))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 2. Let u(x) = x + 3. Let s(z) = -3*p(z) + 2*u(z). Let w(l) be the first derivative of -38*l**3\/3 - 39982. Determine w(s(f)).\nAnswer: -38*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 4*n + 75 = 0. Suppose -2*l + n = 3. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 1. Let m(g) = 3*g + 6. Let w(t) = m(t) - 5*n(t). Let q be w(2). Which is the third biggest value? (a) q (b) 2\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.3, 95795, 1\/3, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 8*u + 27*u)*(-3 + 5 - 5) to the form s*u + x and give s.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 73?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 36 = 17*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/2*(2 - -1). Which is greater: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-4))\/((-10)\/8 + 1). Which is the nearest to 1? (a) 0.4 (b) j (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*188916.\nAnswer: -94458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 13*s**2 + 9*s - 65. Give m(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 + 9*m + 5. Let l be y(5). Solve l*f = 2*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12914.89 to the nearest 100.\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-70)*-7*(-25)\/(-95).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 5*o + 87, 3*o + 12 - 69 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - c = -2*d - 5, -2*c = -4*d + 6. Suppose -3*j - d*u = -2865, -j + 336 = -3*u - 619. List the prime factors of j.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16028, -95, 209.\nAnswer: -16028, -95, 209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60283\/48744 - -56\/677. Find the common denominator of g and 103\/66.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from nhtkhfn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(3*i + i - 5*i)*(-79 + 79 - 31*i**2).\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(8\/4)\/100)\/((-964)\/3615)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9*x = 987. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**4\/4 + 13*d**3\/3 + 61*d**2 - 119. Find the second derivative of z(a) wrt a.\nAnswer: -6*a + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4521*c**2 + 4521*c**2 + 11*c**3 - 9*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -43*n - 1103. Let j be p(-21). Is j smaller than -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99017 - 67178. What is the ten thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtb. Give prob of picking 2 b and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o - 178 + 61 = 0. Solve 4*v = -2*a - 18, -2*a - o - 7 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26217\/22 + 5282\/11. What is the second smallest value in 5\/3, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1027172 and 1\/25532.\nAnswer: 13353236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnadauarnnna. Give prob of picking 1 n, 1 d, and 1 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*p, 2*p - 5 = -2*r + 3*r. Let o be 6\/(-72) + 6\/8. Which is the closest to 1? (a) o (b) r (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-12)\/(-6)))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.1, -0.0588, -0.5, 0.058?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**4\/12 - 4250*u**3 - 105*u**2 - 2*u + 6. Let k be 0\/((-1*1)\/1). Let q be v(k). Round q to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.3. Let a = -5 - -7. Let u = a + -1.5. What is the closest to m in u, -1, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 74. Let k = l - -53. What is the closest to k in -0.2, -2\/7, -2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -712913 and 15.\nAnswer: -712898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 4. Let z be 10\/5 - (-4 - 1\/1). Let d = z + w. Solve 5*j - 4*i = -21, 4 = -d*i - i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 540\/(-780)*(-19)\/19?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/384, -2, -0.3?\nAnswer: 1\/384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18064098 divided by 55926?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*b*o**2*s**2 - b*o*s**2 - 19*b*o*s - 33*b*o - 2*b*s**2 - 21*o**2*s**2 wrt o.\nAnswer: 96*b*s**2 - 42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44 and 41\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7807504*o + 20663987 wrt o.\nAnswer: -7807504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16403893?\nAnswer: 11, 47, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-594)\/(-486)*((-2 - 6)\/(-16) + (-7)\/22)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007924533 rounded to six dps?\nAnswer: -0.000792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.7047 to the nearest integer.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 79 - (-4 - 1*-2). Let n(b) = -3*b - 21. Let r be n(-7). Suppose r = -3*z - 1 + 28. What is the greatest common factor of z and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1611*d**5 - 6*d**4 - d**3 - d**2 + 5*d + 778 wrt d.\nAnswer: 96660*d**2 - 144*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -67905 minus 14.2?\nAnswer: -67919.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaamaafa. Give prob of picking 2 a and 1 m.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 1. Let y = d - -60.00000106. Round y to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -11712909*l. Let v(p) = 2*p. Determine v(r(s)).\nAnswer: -23425818*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 577, 1106, 1635?\n\"Answer: 529*i + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/(-91))\/((-1660)\/(-20916))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 515*(32\/20 - 2). Let l = 554 - s. List the prime factors of l.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 14*d**2 + 2. Let m be b(-14). Suppose -5*w = -20, -m*z + 0*w = 5*w - 372. Let c = -106 + z. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786396 is divided by 119084?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76\/105 + 2\/35. Let a = 0.26 - 5.26. What is the third biggest value in a, -3, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 355 - 3*q**2 - 10*q**2 - 9*q**2 + 38*q**2 - 12*q**2 to the form l*q + d*q**2 + y and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 19*f**2 + f**4 + 17*f**2 + 4*f + f**3 to v*f + c*f**3 + b*f**2 + p*f**4 + h and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 6)*20\/(-50). Suppose -l + x*l = 76. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n - 4*n - 400. Let k(j) = 90*j. Let u(a) = -7*a. Determine n*u(v) - 3*k(v).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4097, 34616, 118949, 284480, 558593, 968672, 1542101, 2306264?\n\"Answer: 4564*m**3 - 477*m**2 + 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13128292, -13128126, -13127672, -13126786, -13125324, -13123142, -13120096, -13116042?\nAnswer: -13110836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2999001818 to the nearest integer?\nAnswer: 54763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -326 or -295?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -11 - 4. Let q(w) = -85*w**2 + w**3 - 86*w**2 + 175*w**2 + 2 + 3*w. Give q(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*c + 47 = 52, 4*c - 26 = 3*t. Let s = -8.5 - -11. Let z = 2 - s. Put z, -5, t in increasing order.\nAnswer: -5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a second in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -19*r + 807. Give o(39).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3817*l**2 - 7635*l**2 + 3816*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - n + 8 + 2 = 0, 0 = -2*n + 6. Let p(t) = -t**2 - 13*t - 2. Let f be p(w). Suppose 3*v - 20 - f = 0. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggd when four letters picked without replacement from gdggggggggggd?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634352 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12961, 104604, 353361, 837790, 1636449?\nAnswer: 2827896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2692079 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 659601693 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1256, -1257, -1258, -1259, -1260?\n\"Answer: -i - 1255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/10)\/(35*(-6)\/75)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(24) + 1*sqrt(1536) + sqrt(1536))\/sqrt(12)*-2.\nAnswer: -34*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -33*r - 69. Let n be x(-3). Suppose 2*a + 2*a - 55 = -5*v, a = 5*v - n. Solve 3*k - 4 = v*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 - 38. Let u = o + -24.6. Which is the third smallest value? (a) 2 (b) u (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 + 233410210?\nAnswer: 233410033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 40, -0.5, 7, 9222, -0.04, -0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/9)*b*b*b\/b**(-3\/11)*b)**(-2\/115) assuming b is positive.\nAnswer: b**(-824\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*d - 54 = 0, q - 14 = -4*d - 31 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -785 - -417. Let d(a) = a - 9. Let y be d(5). List the prime factors of (h\/y)\/(2 + 0).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*m**2 - 71*m**2 + 6*m**2 - 68*m**2 in the form w + i*m + a*m**2 and give a.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195056 divided by -12191.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3624*m**3 + 3*m**2 + m - 2. Let g = 3 - 5. Let q be v(g). What is q rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.9, 0.012191, -1\/10?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4707940 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {l: 2, f: 1, c: 1, s: 3, i: 7, y: 4}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9566 and -32.\nAnswer: -9598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o - 525 = -67*o. What is the closest to -1\/2 in -12, o, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -30*u + 2. Let r(q) = 9*q**2. Let y(k) = -4*k**2. Let l(v) = 6*r(v) + 14*y(v). Give a(l(i)).\nAnswer: 60*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1248.29 - -1243. Let p = 0.59 + -0.38. Let j = p - v. What is j rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvsv when four letters picked without replacement from oovosoooo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1120*d - 3604950 + 3604950 in the form l + h*d and give h.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 - 2*t**3 + 3*t**3)*(-6*t - 4*t + 2*t) + 4*t**4 + t**4 - 3*t**4.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, 5, -0.05.\nAnswer: -0.05, 7\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34527.\nAnswer: 3, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 59. Suppose -c = -2*l - 4, -m = l - 6*l - 3*c. Suppose l = -0*b - 7*b + 7. Which is smaller: b or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 2*v + 42 = 12*f, 0 = -2*f + v + 42. What is the units digit of 1080\/f + ((-51)\/21 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s - 528 + 2426. Let w = s - -166. What is the smallest common multiple of w and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) - 538*(-24)\/20. Suppose 2*v + 8*p = 4*p + z, -4 = 2*p. Find the common denominator of -81\/10 and -1 - (-1 + v\/66).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1135 (b) -4 (c) 0.5 (d) -2 (e) -6\/79 (f) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 79*d**3 + 69*d**2 - 9*d + 2020. Let w(h) = -19*h**3 - 17*h**2 + 2*h - 505. Let l(a) = -2*m(a) - 9*w(a). Differentiate l(g) wrt g.\nAnswer: 39*g**2 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02171 * -10.\nAnswer: -0.2171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4348 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 270359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from suubqmbuuspubsumbu.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -14450120 (base 6) to base 2\nAnswer: -1111011000110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-2))\/(-3) + 2. Solve 0 = -j*w - 4*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 837*v. Let p(y) = -22*y. Suppose 3*b - 363*n + 361*n + 557 = 0, -2*b - 403 = 5*n. Calculate b*p(c) - 5*d(c).\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 4*r + 9. Let y(u) = -u**2 + 5*u - 10. Let t(k) = -5*q(k) - 4*y(k). Find the first derivative of t(s) wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, a: 1, t: 1, i: 2, c: 1}. Give prob of picking 1 t, 1 i, and 1 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - -60. Suppose 2*d = -2*d + k. Solve m + 4 = 3*m + 4*p, 0 = 4*m - 2*p + d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/162 and 113\/69174.\nAnswer: 69174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200*f**5 - f - 502*f**4 + 1414 - 310*f**5 + 500*f**4 wrt f?\nAnswer: -10200*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 5*j + 7. Suppose 10 = 4*a + 2*k, 0 = -0*a + a - 2*k - 15. Suppose -a*h = -y + 29, 0 = -7*h + 2*h - 3*y - 33. Determine i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(11*b + 4 + 23*b - 30*b) - 6*b + 1 - 1 as u*b + s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-229 + 6)*-1 + 20\/(-4) is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -92*a + 223. Calculate j(11).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 6. Let h be o(5). Let t = 14 + h. Calculate the smallest common multiple of 26 and t.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/19))**(-29))**(-3\/8) assuming m is positive.\nAnswer: m**(-261\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(204)*2)\/sqrt(12) + sqrt(833) + (1*sqrt(833))**2 + 0 + 5.\nAnswer: 9*sqrt(17) + 838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -8\/5 (c) -145346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6514610 - 5?\nAnswer: -6514615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*k + 3*s, 0 = -11*k + 9*k + 4*s - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2336503*t - 6345781?\nAnswer: -2336503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 474410, -1\/9 in decreasing order.\nAnswer: 474410, 3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (33 + 83 + 20)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, 676, -1979?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*s**2 + 88*s**2 + 118*s**2)*(11 - 23*s - 11) to the form x + t*s + l*s**2 + p*s**3 and give p.\nAnswer: -4945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.56864 micrometers in centimeters?\nAnswer: 0.008456864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-420) - (-6)\/(-14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {d: 12, v: 1, i: 1, c: 1, s: 1, h: 4}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4 + 19 = 0. Let g = 1671377\/2507070 + 1\/835690. Let t be (-9)\/(-2)*4\/3. Which is the closest to g? (a) m (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*o**3 + 212*o**3 - 140*o**3.\nAnswer: 284*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 0, 29 in descending order.\nAnswer: 29, 11, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1.692\nAnswer: -3.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 25*a**3 + a - 3*a**3 - a**4 + 25*a**3 + 18*a**3 to f*a + g + n*a**4 + o*a**3 + s*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162*a**3*h*m*t - a**3*h*m + a**3*m**2*t + 27*a**2*t - 12*a*h + h*m**2 wrt a?\nAnswer: -972*h*m*t - 6*h*m + 6*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 57*o = 238 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(52) + 2.\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 7*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from hhhghgg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 1. Let o be ((-8)\/24)\/(2\/18). Let k be o\/(-1 - -4) - -3. Suppose k*q + 16 = 3*l, 4 + 2 = 5*q + 4*l. Calculate v(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, q: 6}. Give prob of picking 1 g and 1 q.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 8*z**2 - 15*z + 6. Give s(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -561?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 19. Solve 7*r - o = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p - 2. Let t be k(-2). Let n = -7 - t. Let q be ((-108)\/(-144))\/(1\/4). Which is greater: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-3))\/(3\/18). Suppose k = 2*d - 0*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -337.8427494 + 764.\nAnswer: 426.1572506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -24. Let s = 16.9999974 - j. Round s to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11240460 = -l - 2*l. Let r be 4\/(-38) + l\/(-190). Round r to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 10) to base 8\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*x**3 + 1 + 47*x**3 - 108*x**3)*(5*x + 25*x**2 - 5*x).\nAnswer: -150*x**5 + 25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Let w = 264 - 155. Let g = -109.07 + w. Which is bigger: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 m, and 1 b when three letters picked without replacement from {m: 1, y: 1, h: 1, j: 1, b: 2, x: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - j - 12 = 0, -5*p - j + 15 = 0. Let h be ((-7)\/4)\/((-41)\/(-164)). Let t(u) = u**2 + u - 39. Let o be t(h). Solve -4*c = -p*c + o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 3, -1.\nAnswer: -36, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/6 - (-9485)\/(-1470)) + 11 + -5. Which is the closest to -17? (a) 3 (b) 0.5 (c) -40 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.05422735\nAnswer: -0.027113675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(r\/(r*r**6)*r))*r)\/(r**(2\/11)\/r))\/(r**(2\/7)*r**(-2\/19)) assuming r is positive.\nAnswer: r**(-6382\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 854763826 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 50. Let b(v) = v. Calculate 6*b(u) - l(u).\nAnswer: 3*u + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 281, 428, 573, 716, 857?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -4 (b) -1 (c) -37 (d) 1\/2523 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 49*m + 33. Let o be i(25). Solve -4*y = 8 + o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40151 is divided by 717?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*s**5 - 29898*h*s**3 + 2*h*s**2 + 1195*h*s + h - 1 wrt s?\nAnswer: -60*h*s**2 - 179388*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-4 + 6 + 2)*(-2 + 2 - d**3).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6623 + 6622.5. Let s = 0 + 0.2. Which is the closest to s? (a) 1 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1544481834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 319818413 to the power of 1\/2, to the nearest integer?\nAnswer: 17883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3058 divided by -33761.\nAnswer: -3058\/33761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 385*p**3\/3 - 21*p**2\/2 + 7*p + 56. Is v(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*p = -2, -6*p = -4*n - 11*p - 18. What are the prime factors of 2\/(-2) + n + 21?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31473777 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 6:46 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -t - 2164 + 599, -3*u - 3*t = -1185. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 44. Let n = -2 + 2.1. Sort n, 5, l in increasing order.\nAnswer: n, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115*v**2 - v + 52?\nAnswer: 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-356)\/(-801) + (-8518)\/(-396) - 10 - 12?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2\/9, -6, 7, -1\/3, -14.53, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2. Let a be (-12)\/30 + 68\/20. Suppose -y = -5*s + y + 37, s - 12 = 5*y. Let t(u) = -4 - a + 4*u + s. Determine x(t(j)).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51109305 + 51109305 - 39*m**3.\nAnswer: -39*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-861)\/(-6))\/7. Let c be 2\/5 - 201\/(-5). Let h = k - c. Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 26*i - 13. Let j be k(4). Suppose 9*u = 10*u - j. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2099 is divided by 263?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/68 - (-3030)\/255. Solve -r = 7*b - 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 260 = 18*k. Calculate the remainder when k is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4283683965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 23. Let l be q(12). Solve r + 9 = -5*n - l, -r + 6 = -3*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, c: 7, w: 9}. What is prob of picking 2 w?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12728342?\nAnswer: 2, 11, 17, 34033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((-86)\/((-15824)\/966)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 82223 in 2, 0.5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(297) + sqrt(297) + 2*sqrt(297))\/sqrt(9) + sqrt(33))\/sqrt(11) - ((sqrt(252)*-1)\/sqrt(12))\/((sqrt(196)\/sqrt(4) + sqrt(49))\/sqrt(7) + sqrt(7)).\nAnswer: -29*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**7\/525 - 427*k**6\/300 - 17*k**5\/2 - 1273*k**4\/60 - 424*k**3\/15 + 59*k**2 + 3. Find x, given that v(x) = 0.\nAnswer: -424, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 12. Let l be v(-8). Let g(i) = 4*i - 5. Let d be g(l). Suppose -r + f + d = 0, f + 158 = 4*r + 4*f. What are the prime factors of r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112032213 + -121?\nAnswer: 112032032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:22 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r + r**2 + 1\/2*r**4 - 1\/20*r**5 - 14 - 1\/6*r**3. Suppose -b - 2*d = -14, 2*b - d + 3*d - 20 = 0. Calculate u(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/7, -0.148, 0.4, -2\/15.\nAnswer: -0.148, -2\/15, 0.4, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -181.000000054 + 181. Round v to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttoaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 2. Let h be a(-1). Suppose 10*k = h*k + 186. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 1:00 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 24*o + 81. Give r(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*b - 406 = k, -3*b + 204 = k. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/(-7))\/((-27276)\/31822)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*x + 162*x + 158*x + 153*x - 628*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 20966*k + 4 + 0 - 6 + 46736*k + 2 + (k + k - k)*(-1 + 5 - 2) as l + g*k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 4*q = -5*u + 25, -5 = -4*q - u. Let c be -6099997 - 5\/(-10)*(q + -6). What is c rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/7 + 6*w**2\/7 + 4*w\/7 = 0 for w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 4. Let c be g(5). Suppose -8*t = -3*t - 10. Put c, t, -4 in increasing order.\nAnswer: -4, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0.049 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3025531 centimeters in nanometers?\nAnswer: 3025531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdd when three letters picked without replacement from dnbdfndnbibfnninb?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61038?\nAnswer: 2, 3, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125 + 372. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 424, 451, 496, 559?\n\"Answer: 9*y**2 + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18767 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 biggest value in 1\/2, 3, -0.16, -8, 2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**2 + 152*l + 98. Let z be t(-21). Which is the third biggest value? (a) z (b) 10.1 (c) 0.1 (d) 0 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*o**3 - 37714*o - 2212309?\nAnswer: -90*o**2 - 37714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let z be 0 + (3 - 1 - g). Solve -5 = -2*x - z*k - 1, 0 = 5*x - 2*k - 31 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 352*f - 374*f + 83424. What are the prime factors of f?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303a1 (base 13) to base 2\nAnswer: -10101000100110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 - 4*r - 4. Let g be 4\/20 - (-14)\/5. Let s(n) = 4*n**2 - 3*n - 3. Determine g*u(j) - 4*s(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*n + 2, -5*n - 7*f + 8 = -5*f. Let j(r) = -2*r**3 - r - 27 - 13*r**n - 6*r - 12*r + 14*r. Is j(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -7 + 13. Suppose 0 = 4*t - 7 - 1, z*p = -2*t + 2190004. What is p rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, u: 3, s: 2}. What is prob of sequence fs?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -a23 (base 12) to base 8\nAnswer: -2673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - p. Let h be i(0). Suppose h = -2*y + 51 + 19. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*sqrt(35)\/((sqrt(60)\/sqrt(3))\/sqrt(4)) + (sqrt(70)*-2*-5)\/(5*2*sqrt(10)).\nAnswer: -4*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 160\/(-50)*(-10)\/2. What is the greatest common divisor of x and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236008 is divided by 2269.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3*6\/9)\/(-4*6\/(-192)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(98) + -1 - sqrt(98))**2 - sqrt(98)) + -4 - (((sqrt(72)\/sqrt(3))\/sqrt(6))\/((sqrt(16) + 1*sqrt(16))\/sqrt(8)))**2.\nAnswer: -7*sqrt(2) - 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/4))\/b*b*b**(1\/26)*b assuming b is positive.\nAnswer: b**(93\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102637357 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2 + 4 + 1 - 2 + 18*o. Let i be p(-1). Let c = i + 22. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*b + 2268 = -122*b. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - 2. Let u = 0.4 - f. Let x = 3.4 + -0.4. Which is the second biggest value? (a) x (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5 - 11*o**3 + 28*o**3 - 16*o**3 - 13*o**2 + 24*o. Let b be w(11). Suppose 18 = -t + b. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-11)\/(11\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20679597 or 62038792\/3?\nAnswer: 62038792\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 8:15 PM?\nAnswer: 219","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Work out -6713 - 3.\nAnswer: -6716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 18*j + 24. Suppose -18 = -2*p + 4*h, 7*p - h - 43 = 3*p. What is the hundreds digit of y(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 881*z = -4639*z + 47538 + 217422 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-143)\/2431*(2\/3)\/(58\/(-87))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -496211 - 1?\nAnswer: -496212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2. Let a be b(4). What is the common denominator of ((-190)\/(-14))\/(a\/(-28)) and -75\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143820 divided by -23970\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 8:21 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 5*g**3\/3 + 524. Let c(d) = -2*d**2 + 1 - 1. Calculate c(v(q)).\nAnswer: -50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:23 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m - m + 3*m)*(0 + 3 - 1) + 6*m + 10*m - 27*m in the form j + v*m and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 f when three letters picked without replacement from {f: 6, q: 4, l: 2}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - y - 360 = 0. Suppose 7*j - 46 = y. Differentiate 14 + 18 - 8*w**4 - j + 0*w**4 with respect to w.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: cbcc (base 13) to base 3\nAnswer: 1102221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3820 - -10490. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1250, -1676, -2102, -2528, -2954, -3380?\n\"Answer: -426*y - 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*(0\/(-3) + -2). Suppose 40 = -11*x + f*x. Calculate the highest common divisor of x and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:07 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -0*d - 3*d, g = 5*d + 3. Let n = -0.4 - -0.2. Let u = -0.4 - n. Which is the nearest to d? (a) 3 (b) u (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqdvopq. Give prob of sequence qvq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - w - 10. Let u be 3\/((-2)\/136*-6). Let g = 27 - u. Let r be d(g). What is r rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:38 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 11:57 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/35, -4\/9, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1853507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-2) - -34*2\/8. Solve v*y - 10 = -4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*v + 12 = -261*v. Solve -k = v*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 95, 120, 165, 236?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.67 and 308689.\nAnswer: 6071912.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (9 - (19 + -5 + 13) - -1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6600 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301 - 15*d - 611 + 310.\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-65670)\/880)\/(-199))\/((-3)\/(-10))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 12131121230?\nAnswer: -12131121211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**3\/3 + 26*r**2 - 72*r + 44. What are the prime factors of j(21)?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 128 + 1. Let w = -9 + t. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 6, 42 in increasing order.\nAnswer: -1, 6, 9, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = p, 0*u = 3*p + u. Let j = 782 - 16418\/21. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*y**5 + y**4 - 657*y**3 - 672*y**2 + 17*y wrt y.\nAnswer: -840*y**2 + 24*y - 3942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i. Let n be y(1). Suppose -4*b - 2 = 2*z, -n*b + b + 9 = 5*z. Let s be 1\/2*(1 + 3). Solve z*t - s*q = -t - 12, -5*t - 3*q = 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fe (base 16) to base 9.\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 5:46 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, y: 5}. Give prob of picking 2 i and 2 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 - -4. Let z = u + -1.1. Suppose 0*q - 4*q - 8 = 0. Which is the second smallest value? (a) q (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -332 + 332. Find f such that -66*f + 15*f + f**3 - 8*f**3 + 4*f**3 + m*f**3 + 54*f**2 = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -705213185 by 141042637.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + r = 3058. Let i be (r\/(-2))\/(-2 - -1). Suppose 4*j + 3*a - i = 0, 0 = -j + 3*a + 31. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 6*h**2 + 9*h - 4. Calculate the remainder when b(6) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6925276mm?\nAnswer: 0.0006925276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 2, -11, -48, -115, -218, -363?\n\"Answer: -i**3 - 3*i**2 + 21*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**3 - p**2 - 6. Let a(h) = 7*h**3 + h**2 + 5. Let g(z) = -z**2 + z. Let n(d) = -d + 8. Let v be n(10). Let c be g(v). Calculate c*a(r) - 5*o(r).\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-6))\/(2\/(-12)). Let m be s - -10 - 14\/18. Let j(b) = 3*b. Let q be j(1). What is the biggest value in q, m, -4\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**3 - 1268*r**2 - 1783*r - 507. Determine a(255).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001389392.\nAnswer: 2, 3, 85853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -357, -255, -61, 255, 723?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 800352 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 - 67. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197 - -199. Factor -12*u**3 - u**t - 11*u**2 - 5*u**4 + 2*u**4.\nAnswer: -3*u**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3853485*c**5 - 297143*c**2 wrt c?\nAnswer: 231209100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/55089 and 31\/33.\nAnswer: 605979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*s, 23 = 2*b + s - 5. Let r(y) = -y**2 + 6*y + 19. Determine r(b).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 965*i*s**2 + 70566785*i*s + 1810*s**5 + 5*s**2 wrt s.\nAnswer: 1930*i + 36200*s**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let j(a) be the second derivative of -20*a - 1\/4*a**4 + 0*a**2 - 7\/6*a**3 + 0. Determine j(m(t)).\nAnswer: -12*t**4 - 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27*-5*56\/126*-3. What is the greatest common divisor of 24 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/12 and 13\/8556.\nAnswer: 8556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 49 = 4*f. Suppose f*w = -h + 5*h - 72, 3*h - w - 55 = 0. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 13*a + 301. Let f be h(-23). What is the second derivative of 374*m - 735*m + 141*m**f + 463*m wrt m?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/6)\/((-39)\/(-26))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -4. Let n = 5 - u. Let g be (-2)\/(-1)*(-1)\/(-5). Which is the nearest to -0.1? (a) g (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6268*p**3 + 58*p**2 + 3*p + 88. Let l(k) = k**3 - 4*k**2 - k - 15. Let r(t) = 7*l(t) + u(t). What is the third derivative of r(z) wrt z?\nAnswer: -37566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqpqqwqzzqqqqqq. Give prob of picking 1 q and 1 w.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -77*d - 50. Let n be 1 + -1*(4 + 0 - 7). Let t(q) = -77*q - 53. Let g(i) = n*t(i) - 3*h(i). Find the first derivative of g(p) wrt p.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -573424 times 5\nAnswer: -2867120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1577 - 1581. Sort -3, -0.0433, x in descending order.\nAnswer: -0.0433, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*c**2*x**3 + c**2*x - 3492*c**2 - 82*c*x**2 + 2*x**3 - 1 wrt x.\nAnswer: 72*c**2*x - 164*c + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 - 560*z**2 + 16225*z - 30250 = 0. Calculate z.\nAnswer: 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v. Let o(q) = 3*q**2 - 1659*q. Determine i(o(t)).\nAnswer: -6*t**2 + 3318*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -15. Suppose -5*l + y + 910 = 0. Is l a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25*u - 1. Let y be p(-1). Let i = 26 + y. Let n = 2\/3 - 1\/6. Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -18, -32, -48?\n\"Answer: -x**2 - 9*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + 3*y + 100. Calculate t(0).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02328 (b) 1\/3 (c) -0.2 (d) 0 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218497 and 27493?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.301 - -9.301. Which is the second smallest value? (a) -194 (b) -18\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/p*(p**26\/p*p)\/p assuming p is positive.\nAnswer: p**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.022276 decades in years?\nAnswer: 50.22276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93261*c**3 + 12165*c**2?\nAnswer: 559566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 103*y + 108*y = -119, 5*z - 5*y + 160 = 0 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 + 3*v + 2. Let n(c) = 2*c**2 + 6 + 51 + 0*c**2 - 3*c**2 + 0*c + 11*c. Let f be n(15). Calculate g(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -50238?\nAnswer: 5\/25119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -2, -14, -32, -56, -86, -122?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 6*v + 21 = -o, v - 33 = 5*o. Find the common denominator of 126\/(-32) + (3 + -10 - o) and -5\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245 - -252. Let n = -1470 + 1472. Solve n*m - 4*d = -v + 3, 3*d + 2 = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 926024 greater than or equal to 925985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 6)*((4*i - 3*i + 5*i)*(2 + 4 + 3) - 5*i + 2 - 2)*(10*i - 6*i + 8*i).\nAnswer: 588*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + a**2 + 5*a - 5. Let u be o(2). Let v(d) = -d + 5. Let j be v(-5). Let k be (-1 - 0)*(-2)\/j. Is k less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 17*v**2 + 93*v + 15. Let d(m) = -34*m**2 - 188*m - 28. Let t(y) = -4*d(y) - 7*x(y). Let s be t(-6). Solve 17*u - s*u = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 385 and 1330?\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 36.05. Let s = g + -0.0385. What is s rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 2) in base 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -2989857.4\nAnswer: 14949287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 172649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13, 1, 2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/10702595 and 93\/220.\nAnswer: 470914180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1259456 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 + 4755*j**4 - 56187*j**3 - 692931*j**2 - 1198266*j - 566280 = 0. What is j?\nAnswer: -6, -1, 20, 1573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2296056815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v - 16 = 0, u + 3 = -3*v. Let i = u + 12. Is -1*(-115 - (-5 - i)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20643 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*u - 17 + 24*u + 17 as y*u + b and give y.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 34. Suppose 8 - 4 = g, -3*g + 34 = s*q. Suppose q*c - 4 = 9*c. Solve i = -2*u + u - c, -2*i - 16 = -2*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13430370 - -3?\nAnswer: -13430365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -166274065810.08.\nAnswer: -166274065799.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 5, 22, -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-12)*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20304 - 24205?\nAnswer: -3501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*g - 201*g - 8*g + 0*g.\nAnswer: -277*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/4*4*1. Let x = -791 - -789. Sort -4, x, 0, p in increasing order.\nAnswer: -4, x, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*r - 2 = 86, 0 = -4*m - 5*r + 43. Let v = -12 + m. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3 - 4 + 8*x + 0 + 11 - 5. Let a(d) = 23*d - 2. What is -6*a(v) + 17*f(v)?\nAnswer: -2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 340 + 5de?\nAnswer: 92e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50 and 52\/145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)*2*-1)\/(sqrt(64)*-1))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.6, 4, 50\/13, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 7*i**2 - 25*i + 29. Determine m(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 0*z)*(-2*z - 1 + 1)*(1 + 1 - 5 + (1 + 0 - 2)*(5 - 2 + 4))*(0 + 2 + 0).\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:34 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 7 = l, -968*h - 4*l = -969*h - 0 - 5 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-6)*1*83\/(90055\/(-31))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -32) + (0 - 3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 242 + -135. Let d(l) = 422*l + 19 - 216*l - 208*l. What is the remainder when z is divided by d(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 0 - 4 - 22*t**2.\nAnswer: -38*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*g = 42 - 11, v + 4*g = -3 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - 2 - -44) + (-16 - -101)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108500 = 4*y - l, 4*l = -2*y + 2*l + 54240. List the prime factors of y.\nAnswer: 2, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 114, 0.5, -20, -0.01, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10*w = 6*w + 23, 5*d = 4*w - 33. What is the third biggest value in d, 3, 1\/3, 7\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1758533226?\nAnswer: -1758533223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -10 - (-162 - -159)) + -1 - -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200) - (2*sqrt(1200) - sqrt(1200))*2 - -1*2*sqrt(1200))*-6)\/(-4*sqrt(8)\/(sqrt(72)\/sqrt(4) - sqrt(2))*-1).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -11)*(-3890)\/3112?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -353, -705, -1057, -1409, -1761, -2113?\n\"Answer: -352*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448)*1*-2 - (0 + sqrt(2448) + 0))*-3)**2.\nAnswer: 198288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 2141978.\nAnswer: 67\/2141978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1043 + 3984\nAnswer: 2941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - k**2 + 7. Suppose 40 = 3*c + 4*f, -c + 2*f - 4*f = -16. Suppose -5 = -5*y + l, y = -4*l + c - 28. Give h(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 5198?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/((-8)\/60*3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {p: 3, c: 1, h: 5, y: 2, a: 1, o: 1}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, 3017, 8172, 15389, 24668?\nAnswer: 36009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -10) + (13 - 9). Solve -9*x**2 + 16*x + 3*x**3 + 0 + 0 - k*x = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 18. Let j = -106 + 110. Let n be -3*(2\/2)\/1. Which is the closest to 0? (a) n (b) x (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7352664 months in years?\nAnswer: 0.0612722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = 5*v + 3*y, 5*y - 127 = 3*v - 48. Which is bigger: 97 or v?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 352.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 f when three letters picked without replacement from nfznnnnnfnznnnnnzf?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.3. Let t = p + -0.2. Let q = 210 - 210.1. Which is the nearest to -0.1? (a) t (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = 18. Let p(g) = g + 9. Let f be p(i). What is a in -3*a**4 + 3*a**2 + a**f - a**5 - 6*a**2 + 2*a**2 + 4*a**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -85361380*x**2 + 73862375 wrt x.\nAnswer: -170722760*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1008\/22 - (-2)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*j + 543. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02601 - 0.27399. Sort n, -205, -5, 2\/11 in ascending order.\nAnswer: -205, -5, n, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725927747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itjtifuoftff. Give prob of sequence ji.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.9 - 24. Let w = d - 3.9. Which is the biggest value? (a) w (b) 2\/33 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/(-4))\/((-3)\/12). Let c(r) = r**3 - 6*r**2 + r - 4. Let f be c(6). Suppose w + f*z = l, -30 = w - 3*z - 101. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369 - 369 + 15306*q**2 - 7672*q**2 - 7626*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-399)\/(1527372\/(-264))*1*841.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 190. Let m be r(38). Suppose m = 10*a + 58 - 738. Calculate the remainder when a is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3657312 divided by -35856\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + (-56)\/8)\/(2 + -1). Let r be (4\/6)\/((3\/423)\/q). Let g = 155 - r. List the prime factors of g.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67146 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*x = -3, -5*h - 4*x + 10 = -3*x. Differentiate 311*k**3 - 24 - 155*k**h - 154*k**3 + 31*k wrt k.\nAnswer: 6*k**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znyabkyzyazb. Give prob of sequence zkan.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = 14*i - v, -i - v + 18 = -15. Calculate the highest common factor of i and 11957.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 646*g**4 + 14*g**2 - 7*g*w + 112*w + 319 with respect to g.\nAnswer: 2584*g**3 + 28*g - 7*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Suppose -2*r = -4*i + 26, -n = r + 4. Let z(v) = 6 - 4*v**2 - i*v + 5*v**2 + 0*v**2. Determine z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 - 163 = -d. Suppose 2*y = 5*y - d. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -695*y + 25851 + 5103 = 42*y for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-386)\/(-78) + (-68)\/(-1326). Sort -1, -130, m.\nAnswer: -130, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**9*q*q*q**(-5\/2))\/(q**(-19\/5)*q**(1\/17)) assuming q is positive.\nAnswer: q**(-639\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**2 - 397*z + 792. Let j be x(2). Solve -j = -4*t + 2*m, 0 = -6*t + 9*t + 4*m + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 times -6\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -12290*q + 11928. Give m(1).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 5*o - o)*(-3*o**3 + o**3 - 2*o - 2*o**2 + o**3).\nAnswer: 4*o**4 + 8*o**3 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71*p**2 + 3*p - 113?\nAnswer: -142*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346 is divided by 147.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5650 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-7)\/y))\/y)\/(y\/(y\/y**(3\/2)*y)*y))\/((y*y**(1\/3))\/y**2) assuming y is positive.\nAnswer: y**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 28268*w - 367297. Give r(13).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20506 is divided by 98?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 4*h - 11. Suppose 11 = 3*j + 4*i + i, -i - 37 = -5*j. Let r be m(j). Which is smaller: -1\/3 or r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10506, 21013, 31522, 42033, 52546?\nAnswer: 63061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 = d + 6, -5*y - 21 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:51 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4393 - -7616. Calculate the lowest common multiple of l and 22.\nAnswer: 6446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840399753?\nAnswer: 3, 280133251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.49 + -1692.49. Let s = q - -1686.99231. Round s to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 300, 296, 292, 288, 284?\n\"Answer: -4*d + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00207065 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g**(-2\/13)*g)*g*g\/g**(-1\/6) assuming g is positive.\nAnswer: g**(103\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 309282 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -53172.4 times 46\nAnswer: -2445930.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*t - 14, 2*x - 3*t = 2*t. Let i = -4 - x. Let u(l) = 0*l**2 - l**2 - l - 3*l + 5*l. Let k(c) = 4*c**2 - 7*c + 1. What is i*k(o) + 6*u(o)?\nAnswer: -2*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1596*m**5 - 5*m**3 - m**2 - 103972*m - 1?\nAnswer: 31920*m**3 - 30*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3032 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 6715.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -13*v**6\/720 - v**4\/12 - v. Let t(h) be the third derivative of q(h). Let l(s) = s**2. Give l(t(c)).\nAnswer: 169*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7790 by 41.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33040 and 12880.\nAnswer: 759920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - ((-230)\/40*-4 + -15)*-1)*1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-2)*(-8)\/14. Suppose -6 = -u*z, 2*r - 4*z = z + 293. List the prime factors of r.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-1\/6)))\/(k*k\/(k**(-4\/3)\/k))*(k**(1\/2))**(-43) assuming k is positive.\nAnswer: k**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 108517365977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21386 less than 21578?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 4\/13 (b) -1\/2 (c) -1\/5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*v - 7*v. Let k = 13 - 16. Put 2, v, k in increasing order.\nAnswer: k, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1300 and 1357525?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -3*f**2\/2 - 21*f + 36. Let k be z(-7). Solve k*p - p = 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + j**2 + j. Let q be m(-1). What are the prime factors of (-23)\/(q - (-1 - 1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.89 take away 492?\nAnswer: -589.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612928416.\nAnswer: 2, 3, 127, 50273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -268373, 0 in ascending order.\nAnswer: -268373, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2304255 (base 6) to base 8.\nAnswer: -345553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f - 2. Let r(s) be the first derivative of -2*s**2 - s - 232. Let q = -13 + 19. Suppose 4 = 2*a - q. Calculate a*x(y) - 7*r(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2589 by -863.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-24) - 5\/(-20))\/(-2). Which is the closest to 2? (a) -1 (b) t (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h + 1. Determine v(-8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 782 - 777. Let -11\/2*o + x + 1\/2*o**2 = 0. What is o?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27401, 27230, 27071, 26930, 26813, 26726?\nAnswer: 26675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -58*(0 - -2)*(-38)\/(-95). Are -45 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16659767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -434?\nAnswer: 11\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 9 + 7. Suppose -p = -2*z - 6. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {j: 4, q: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and 924719?\nAnswer: 924713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**3 + 213849*l - 213849*l.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389186688 = 67*y + 1042336188. Round y to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 176*n + 45*n + 0 - 221*n + 6*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: Simplify (h*h*h**(3\/4))**(12\/11) assuming h is positive.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**2 - 17*z + 4. Suppose 2*a - 2*x = 0, -4*x = -0*x - 12. Let h be c(a). Let q be (-18)\/(-27)*(-45)\/h. Solve 4*b - q = g, 4*g + 15 + 1 = 5*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124586589.\nAnswer: 3, 41528863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + g - 1)*(-8*g + 5 - 5) + g**2 + 0*g**2 - 2*g**2 + (g - 2*g - g)*(g - g - 2*g) - 3*g**2 + 2*g**2 + 3*g**2 in the form y*g + u + a*g**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005447 to seven dps.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 - -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b4408 + -1?\nAnswer: 3b4407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2223.4 and 0.5?\nAnswer: 2222.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111010 - 1111?\nAnswer: -1001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -16. Let y be g\/(-4)*41\/(-2). Let m = 75 + y. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146\/433 - -53001\/232954. What is the common denominator of y and -59\/4?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 1:36 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062839?\nAnswer: 503, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 16. Let i(t) = t**3 + 7*t**2 + 5*t - 2. Let y be i(k). Suppose 0 = y*z - 3*h - 22, 0*z - 4*h = 4*z - 36. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 104*q**2. Let a(i) = 25*i + 2. Let b(v) = -24*v - 3. Let f(t) = 3*a(t) + 3*b(t). Give z(f(c)).\nAnswer: 936*c**2 - 1872*c + 936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 1, g: 1, n: 1, a: 1}. Give prob of sequence an.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n + 4*n - 4*n. Let m(w) = 3*w**2 - 64*w - 54. Suppose 110 = -500*j + 505*j. Let d be m(j). Let g(p) = -3*p. Give d*g(i) - 4*c(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 52*b - 269. Determine r(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24884 is divided by 2415?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8729.3*-0.01.\nAnswer: 87.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*((-6)\/(-15))\/((-6)\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 135 + 523 = 0. Suppose 3*a + 2*a = 110. Suppose h + a = p. Calculate the remainder when h is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-12))\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11010011011111000 (base 2) to base 8\nAnswer: -323370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82318a (base 15) to base 16.\nAnswer: -5e66ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from hhhkyhkhhhhhhhhkhhhh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176.9405 rounded to zero dps?\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2550 divided by 6.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**19)**(3\/2) assuming b is positive.\nAnswer: b**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 + 30*v**3 - 54*v**2 + 26*v.\nAnswer: -2*v*(v - 13)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -55, -194, -471, -934?\n\"Answer: -8*l**3 + 3*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 2290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1261558 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = 4*k - 4, -5*k - 2*q = -25. Suppose k = 5*r - 78. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159 - -163. Suppose m = -3*k + 115 + 129, k = -v*m + 63. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*sqrt(275)*2 + -2 + -1) + 1.\nAnswer: -300*sqrt(11) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59302, -86413, -113524, -140635, -167746, -194857?\nAnswer: -221968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*t**2 - 61926*t - 782019 wrt t.\nAnswer: -10*t - 61926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46762 times -0.7077?\nAnswer: -33093.4674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44905.\nAnswer: 5, 7, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**6)\/((q*q**(1\/4)*q)\/q))**(1\/38))**(-1\/13) assuming q is positive.\nAnswer: q**(25\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 equal to 11156\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 19, 61, 119, 199, 307?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1*sqrt(88)*2 - -3*(sqrt(88) - sqrt(88)*-2)))\/(-2*sqrt(8)*-1 + (-5*(sqrt(8) - sqrt(16)\/sqrt(2)) - sqrt(8))))**2.\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((y + 3*y - 3*y)*(4 - 2 - 1) + 15*y - 4759 + 4759)*((4 + 5*y - 4)*(-4*y + 2*y + 3*y) - 5*y**2 + y**2 + 5*y**2) as u*y + n*y**3 + i + r*y**2 and give n.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*a**2 + 47 - 47 + 455*a**2.\nAnswer: -68*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 + -2)*(-2)\/6. Let u = 5 - 3. Suppose g*k = 12 - u. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from ddzntdnzzzxzfdzxnn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120325 (base 8) to base 9.\nAnswer: 62427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359055447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1400 divided by -5\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 1. Let k(b) = b + 2. Let u be k(-5). Let x(z) = -2*z**2 + 2. Let y(p) = u*x(p) - 7*g(p). Differentiate y(l) with respect to l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -17868\nAnswer: 893.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-28) + 25\/7. Let g = w + 0. What is j in j**4 + 1 + j - 2*j**4 + 5*j - 4*j - 2*j**g = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -18 - (-5876)\/(-260))*(-2)\/(-4).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 0 + 4)*2\/(-15). Let a(d) = -d**2 - 7*d - 6. Let v be a(-5). What is the nearest to 0 in m, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 15 = -18*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 t, and 1 c when four letters picked without replacement from {c: 9, i: 8, t: 2}?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*u - 19 + 9 + 12 to o + t*u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, 0.5, -103\/5, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -66610, -266241, -598958, -1064761?\n\"Answer: -66543*p**2 - 2*p - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1259355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9905*u**3 + 9*u**2 - 58*u + 8. Let p be q(28). Suppose 13*r + p = -5*r. What is r rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24636*b**3 - 24635*b**3 + b**2 - b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8665 + 1.823. What is the second biggest value in 0.04, l, 1\/4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*k - 4, -2*z - 2 = 3*z + k. Suppose 3*o = -z*o - 4*n + 10, 5*o = -4*n + 30. What is the highest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, q: 1, y: 1, c: 1, t: 1}. What is prob of picking 3 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03255 to 3 decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 16. Suppose -k*r = -m + 13, 0 = 4*m - 2*r + 7 - 29. Solve -m*j + 7 = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2441013?\nAnswer: 3, 17, 23, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 78?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 546 - 543 - 3*h**3 - 18*h**2 as n*h + u*h**3 + k*h**2 + f and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 + c**2 + 2*c. Let v(g) be the third derivative of 11*g**6\/120 + g**5\/30 + g**4\/6 + 3*g**2 - 91*g. Determine -7*l(a) + 4*v(a).\nAnswer: 2*a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 4018.\nAnswer: -4018.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 356 - 250. Suppose 99 = -11*w + 15*w + 3*h, -4*h = 4*w - 96. Calculate the remainder when d is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 - 4*a - 1. Let u be w(3). Suppose 0 = p + 4*z + z, p - u = 3*z. Let j(v) = -v**2 + 8*v - 5. Calculate the remainder when p is divided by j(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*n - 365*n + 38 = 2*s, s + 4*n = -21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 116c + -14?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/(5*(-4)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 5*h + 4. Suppose 9*g - 40 = 4*g. Suppose -g*q + 5*q + 27 = 0. Solve -h*d - 25 = -q*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**3 + 323*b**2 + 178*b - 2585. Calculate a(162).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2*x**2 + 24198*p**2 - 18234*x**2 with respect to p.\nAnswer: 4*p*x**2 + 48396*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 487, 736, 987?\nAnswer: 1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 12:53 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 3 - 6, -231*t + 0*o + 3*o - 413 = -29*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*s - 73*s + 24*s)*((8 + 4 + 0)*(0 - 1 - 1) + (3 - 5 + 0)*(-3 + 2 + 2)*(-1 + 4 - 2)) in the form a + w*s and give w.\nAnswer: 2158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.166 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 271362 and 44394?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -247, 4 in descending order.\nAnswer: 4, 3, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*v - 263*v - 777 = 0. What is the remainder when v is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 9:50 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, -44 in decreasing order.\nAnswer: -0.4, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0. Let o = -0.312 + c. What is o rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10 = -5*x, 3*t = -x - 0*x + 13. Suppose t*a - 158 = 4*z, 0 = 5*z + 4*a - 9*a + 200. Is 24 a factor of (56\/z)\/(2\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 8*f - 11*f. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9118428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 2. Let d(x) = 5*x + 5. Let b(g) = -8*a(g) + 3*d(g). What is b(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7044*l**2 - 7076*l**2 - 3 + 3. Let d(f) = -4*f. Calculate d(k(y)).\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1370)\/1233 + (-79)\/18.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-73)\/(-2) - (-2)\/(-4). Let c = -13 + z. Suppose 2*m - 20 = 2*s, 3*m = -2*m - s + 62. What is the remainder when c is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1587 + 1610 + 61 + 1.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q + 12*q + 1598 = 0. Suppose -q*f - 3625 = 10111. Is f > -404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-3) + (573200\/(-48))\/((-2)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4924, -10424, -15924, -21424, -26924?\n\"Answer: -5500*h + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.47 + -0.47. Sort -4, 1, n, -6 in descending order.\nAnswer: n, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010247 to six dps.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/(-2)*((-12)\/16 - -1). Find the second derivative of -6*q**5 + 177*q + 8*q**2 - 25*q**5 + 2*q**5 + 37*q**z wrt q.\nAnswer: 160*q**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 4714548.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 43 = -5*n, -c = -5*n + 9*n + 26. Let l(f) = 7*f + 4. Give l(c).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146552701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r - 4. Let p be 2\/r - (2 - -2). Let z = 43 + p. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 23 = 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o + 45. Let i be w(7). Suppose 0 = -u - 5*l - 8, 0*u + 4*l = 4*u - 16. Solve u*v - v = 2*k + i, 3*v - 27 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 387, 721, 1055, 1389, 1723, 2057?\n\"Answer: 334*t + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = -4*i, -2*i = -11*a + 13*a - 6. Let j(t) be the second derivative of 0*t**2 + 0*t**3 + 3*t + a - 1\/6*t**4. Give j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0494 minus -20799.7476?\nAnswer: 20799.6982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 117 + -1 - 1793\/(-163). Solve i = 3*g + 120 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 22*a + 43. Let k(c) = -c**2 + 13*c - 20. Let g be k(8). Let p be z(g). Suppose n - 2 = -p. Put 1, n, -5 in ascending order.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -363? (a) -0.5 (b) -4 (c) -0.3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -10*v - 545. Let z be c(-54). Let d be (-2)\/(-3) - 98\/(-6). Suppose -25 = 5*a + 2*o, 2*o = -0*a + a + d. Which is greater: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 - 4*v + 4*v)*(-2 - 3 + 3) + (0*v**2 + 0*v**2 - 2*v**2)*(-5 + 5 - 3*v**2).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000684646 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-498)\/(-102) - ((-51)\/(-12) + (-30)\/(-40))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 529.3878 months to decades.\nAnswer: 4.411565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 184 - 184 - (-9 + 2 + -3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*y - 65, 3*j = -2*j + y + 268. Suppose j*f = 54*f - 4. Solve -c = -f*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -s - 70, 4*s + 6*j + 268 = j. Let c = -63 - s. Put -6, -3, c in descending order.\nAnswer: c, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10325\/5622 + -3\/937. Let n(z) be the second derivative of q*z**3 + 7*z - 11\/2*z**2 + 0. Find the first derivative of n(o) wrt o.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 210*v**3 - 3586 - 2526*v - 7134*v + 498*v**2 - 5*v**4 - 457 - 6537 - 2243*v**2.\nAnswer: -5*(v - 23)**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 217 + 169950?\nAnswer: 170167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/67300 and 35\/12.\nAnswer: 201900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221803261?\nAnswer: 3793, 58477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-11) - -1 - (-840)\/(-462).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is b9 (base 12) in base 9?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 29. Let k be n(16). Solve k*r - 2 = -14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6191 * 0.3.\nAnswer: 0.18573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.32 - 0.02. Suppose -13 = 2*d - 5. Sort d, z, -2\/5.\nAnswer: d, -2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -8*x - 42 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a factor of 28521339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 0 + 3 - s - 6 - 6. Give y(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1434 - -1432. Let c(r) be the first derivative of 15*r**4\/4 - 3*r**2 + 11*r + 1. Let n(m) = -3*m**3 + m - 2. Calculate v*c(x) - 11*n(x).\nAnswer: 3*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87\/2, 0.3, -3, -5 in descending order.\nAnswer: 0.3, -3, -5, -87\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)*l*l*l**(1\/8)*l)**(-1\/12) assuming l is positive.\nAnswer: l**(23\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 40 + 5. Find the third derivative of -13*n**2 - 8*n**5 + 13*n**p - 4*n**5 + 2*n**2 wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 23*u**3 - 33*u**3 + 3*u**2.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 8*d. Suppose 0 = -d*s + 2*s - 14. What is the lowest common multiple of s and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199948 and 8878.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423 by 1.\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 + 262. Suppose 2*n + 3*j = 105, 3*j - b = -2*n - j. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.08, 5, 2\/11, -0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1095, -2173, -3251?\nAnswer: -4329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-11*20\/(-220))\/16.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1\/25295954?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 2*n - 2 = -2*o, 0 = 4*n + 4*o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(0 + 1 + 2)\/3. Suppose 67 = i + o*w, 0 = -2*i - 2*w + 61 + 79. What are the prime factors of i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*f - 88 + 183 - 93 + (-1 - 2 + 2)*(-3*f + 4*f + 0*f) in the form c + t*f and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626397519.\nAnswer: 3, 11, 193, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + -1)**2 + 4 - ((sqrt(13) + 0)*-6 + sqrt(13)))*3 + 5.\nAnswer: 9*sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -2 + (-11 - -15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7002487309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 210\/11 at least as big as 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f = 495. Suppose 0 = j - 4*x + f, j - x = 6*j + 495. Is (3 + 50\/(-15))*j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*k + 20, 5*i + k - 3 = 2. Find the third derivative of -10*o**i + 0*o**4 + 4*o**2 - 3*o**2 + 9*o**4 wrt o.\nAnswer: 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 6. Let r(m) = 4 + 5 + 2 - 2. Let q(s) = -5. Let y(w) = 7*q(w) + 4*r(w). Determine i(n) - 4*y(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36780 = -27*w + 37*w. What are the prime factors of w?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + s)*(-139 - 106 - 68)*(6*s + 0*s - 3*s).\nAnswer: -939*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -12. Suppose 2*z + 14 = z - 4*l, -14 = 3*z + 5*l. Suppose 0 = -x - z*m + 7, -3*x = -2*m + 4*m - 5. Put -4, h, x in descending order.\nAnswer: x, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3649*v - 3646*v + 9 = 0, 4*q = -v + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/((-10)\/(-6)). Let c(y) = -5*y - 47. Let j be c(-8). Let m(k) = -4*k - 26. Let w be m(j). Sort w, 0.7, -4, n.\nAnswer: -4, n, 0.7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 1. Suppose 2*j - 4*v = 68, 4*j = -4*v + 9*v + 139. Let h = -30 + j. Determine f(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1150*z**2 + 816*z**2 + 572*z**2 - 2*z**3 in the form p*z**3 + k*z + w + f*z**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 11*b - 58 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (228\/38)\/((-2)\/(-140) - (-78)\/273).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f = 2*g + 39*f + 14, -3*f = 15. Which is the closest to 1\/7? (a) g (b) 4\/25 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 2. Let f = -3.09 - -3.79. Which is the second smallest value? (a) r (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3335 (base 8) in base 16?\nAnswer: -6dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 2394?\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/150 and 19\/533550.\nAnswer: 533550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15217632 by 6.\nAnswer: 2536272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 44*i**2 - 123*i + 81. Calculate y(-41).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -137\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 408 (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3 - 2) - (1 + -20). Solve -b + 4 = -c, 8 - r = 3*c + 2*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 428604*o**2*t**2*u**2 - o**2*t**2*u + 28*o**2 + 47*o*t**2*u + o*t**2 + t**2*u**2 + 5*t**2 - 2*u**2 - 6*u wrt u.\nAnswer: 857208*o**2*t**2 + 2*t**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.6 and -34.9659?\nAnswer: 930.09294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 32*p**2 + 61*p - 460. List the prime factors of m(10).\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16235205.\nAnswer: 3, 5, 7, 154621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 727045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 41425000 to the nearest one million.\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 24. Let s be 2\/3 + (4 + -1 - (-1626)\/(-198)). Is x < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1656, -1829, -2002?\nAnswer: -2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-7\/3))\/v*(v*v**9\/v)\/v*(v\/v**(1\/2))**(-50) assuming v is positive.\nAnswer: v**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43378, -43375, -43372, -43369, -43366, -43363?\n\"Answer: 3*f - 43381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -143 and -6.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -11*x - 31. Let j = -45 + 42. Let a be q(j). Solve -a*u + 11 = -3*d, 0 = -u - d - 2*d - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - b - 5*b + 3*z - 7*z = 3*b + 32, 2*z - 6 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -195738\/7 or -27962?\nAnswer: -27962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50\/(-4)*(-120)\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((4 - 1) + 2). Which is the second smallest value? (a) 1 (b) 0.01 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2013 - 2006. Let v(w) = -10*w**3 - 7*w**2 + 2*w. Let g(s) = 7*s**3 + 5*s**2 - s. Determine j*g(q) + 5*v(q).\nAnswer: -q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1256620602 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.1 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1871500 rounded to the nearest 10000?\nAnswer: -1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + j + 4. Suppose -2*h = -2*r - 8, 5*h - 2 = 3*r + 18. Let w(z) = -5*z**2 - z - 7. Give h*w(c) + 7*k(c).\nAnswer: c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 3:08 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229110, 458215, 687320, 916425, 1145530?\nAnswer: 1374635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-9))\/(12\/(-3582)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1096301\/10 - -219261\/2. Factor 4 + y*q**2 - 14\/5*q.\nAnswer: 2*(q - 5)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i*s**2 - 20111*i*s + 51*s**2 wrt s.\nAnswer: 16*i + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24051605.\nAnswer: 5, 71, 67751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (492\/(-15))\/(7\/(-105)).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 5551755427478.\nAnswer: 5551755427477.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -58. Suppose -2*l - 5*k + 425 = h, -3*l + 0*k = -2*k - 647. What is the remainder when l is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3786670 rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356087?\nAnswer: 97, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-36) - (2 - (-20)\/(-9))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.6 - 14. Round g to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 377774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*m - 1107 = -61*m. What are the prime factors of m?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 90.91. What is the closest to 0 in 1\/4, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-23 - (3 + -102))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26584 + -18020. Is u a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515892344 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 735941056 + 311.\nAnswer: 735941367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 826716154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**3 - 82*y**5 - 352*y**2 + 600*y**2 + 613*y**2 + y**5 + 150*y**2 wrt y?\nAnswer: -4860*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -917 - 449?\nAnswer: -d62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1\/4))**(-49))**20)**(-47))**45 assuming s is positive.\nAnswer: s**(-518175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 134356662841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 5 + 36)*(d + 2*d - 4*d) in the form c*d + m and give c.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -0.3, 0.02 in decreasing order.\nAnswer: 0.02, -0.3, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**3 - 4*p**3 + p**3)*(2 + 1 + 0) + 0*p**3 + 4*p**3 + 2*p**3 in the form h*p**3 + q*p + r + d*p**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 2*h**2 + 4*h**2 - 7*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (517 - -11)*(7 + 44\/(-8)) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-15))\/(-3) + 7\/(-735)*-21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxoxxo. Give prob of sequence xo.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60082449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 35\/14 + (-1)\/2. Let c be ((-201500)\/(-39))\/(i\/2400). Round c to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 * 0.0454\nAnswer: -0.1135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 39 - 44 = 0. Suppose 356 = 4*x - 4*q + 5*q, -290 = -3*x + l*q. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1273717 centuries?\nAnswer: 1.273717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -173?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -110378 + -6?\nAnswer: -110385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -76 - 8*(-315)\/72\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-385))\/(3\/(-22))*3\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3812808 to 4 decimal places.\nAnswer: -0.3813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 183*n**2 + 3897*n + 68. What is the tens digit of a(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -1\/5, 1\/23, 478?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x**(-2\/17)*x*x)\/x*x))*x*(x*x*x**(1\/2))\/x)**25 assuming x is positive.\nAnswer: x**(3725\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 150 = 2*x + 2*p, 5*x = 3*p + 407. List the prime factors of x.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**5\/20 - w**4\/4 - 5*w**3\/6 + 5*w**2\/2 + 5*w. What is h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - ((-5 + -2 - 0) + (-14268)\/(-2520)) and -3\/175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0539768 + -0.054. Round t to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10 = 5. Suppose 0 = -p*w + 4*w - 4. Solve -w*z = 2*j + 6, -j = -4*j + 3*z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51350 (base 6) to base 7.\nAnswer: 25632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -v - 0*j + 2, 0 = 17*v + 4*v - 4*j + 185 - 327 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (14 - (-9 - -12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 5*f - 30, -3*f = -c + 152 - 126 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(1 + 3))\/1. Suppose q = 2*s + 2*s - 324. Suppose 0 = -2*r - 4*a + 78, 2*r = -0*r - 3*a + s. Calculate the highest common divisor of r and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*x**4 + 2 - 44*x**4 + 505*x**2 - 8*x**4 in the form i*x**4 + k + p*x**2 + h*x + w*x**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 122535 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.038 + -0.262. What is the closest to 1 in r, 4, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 3*c**2 + 5*c + 0*c**3 - 4 - 1\/4*c**4. Let r(i) = i**3 - 9*i - 7. What is -7*q(u) - 5*r(u)?\nAnswer: 2*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 366245621 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**0)\/g)\/(g**(1\/14)\/g))\/(g\/(((g*g**(1\/2))\/g)\/g))**(-11\/5) assuming g is positive.\nAnswer: g**(183\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 106*w = -4*v - 29*w - 64, -3*v + 3*w - 48 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*-4*12\/(-576). Let r = 461\/17 + -27. Let n = -2.8 + 3. Sort r, g, n.\nAnswer: g, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2952 - 3150 = -22*y - 103*y + 238*y for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10332557854 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iikkrkrkkkkkkkkki. Give prob of sequence iiki.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(2736) + -1)*2 - 5*sqrt(2736)*2) + -5)**2*-4.\nAnswer: -700992 - 9216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 4:38 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -674\/7 - -96. Let i = 47 + -44. Let l = -13\/4 + i. Which is the nearest to l? (a) -1 (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 5*l - 1, r - 4 - 3 = -l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 240 + -2?\nAnswer: 23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12573 by 6.\nAnswer: -4191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 10, -1, 1139, 2.\nAnswer: -5, -4, -1, 2, 10, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -134\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**3 + 2370*i**2 + 7119*i + 4746. Let z(h) = -8*h**3 + 2369*h**2 + 7118*h + 4746. Let t(p) = 5*v(p) - 6*z(p). Suppose t(d) = 0. Calculate d.\nAnswer: -2, -1, 791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ktttkktkttntt?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 523 - 1452a2?\nAnswer: -14497b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.918 - -0.082. Which is the second biggest value? (a) -0.4 (b) -21 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/36*1683\/255. Let r = -59\/42 + h. Let l = -0.2 + 0.2. What is the closest to l in 2\/5, 1, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -98*n + 99*n. Let v be -4 - (-6 - n) - (1 - 1). Solve -5*w = -7*w + v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.5 (b) -1\/6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -89 - -43040410503\nAnswer: 43040410414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q - 7. Let j(r) = 10*r + 14. Let v(n) = -4*j(n) - 10*z(n). Is 12 a factor of v(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00114534 rounded to five decimal places?\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-2*2*sqrt(66))\/sqrt(6))**2 - ((-6*sqrt(66)\/sqrt(6) - sqrt(11)) + -1)).\nAnswer: -885 - 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 - -7) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 100, 197, 278, 337, 368, 365, 322, 233?\n\"Answer: -y**3 - 2*y**2 + 110*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 38*o**3\/3 + o**2 + 1. Let x(i) = -14138*i + 28295*i - 14157*i + 2*i**2. What is x(t(f))?\nAnswer: 2888*f**4 + 304*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 287, 451, 615, 779, 943, 1107?\n\"Answer: 164*v + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 678005.2 minutes?\nAnswer: 40680312000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 22. Which is bigger: -1\/16 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 1716 + 1736 = 4*x, -4*x - 3*v = -18 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -19*f**3 - 9*f**2 - 9*f + 9. Let c = 142 + -140. Let l(x) = -5*x**3 - 2*x**2 - 2*x + 2. What is c*w(k) - 9*l(k)?\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 15 + 81. Suppose -9*s + 13*s = r. What is the remainder when 63 is divided by (8*-1)\/((-12)\/s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.14, 919845, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w + 35. Let f be m(17). Let o = f - -87. Solve 5*v = 2*v - o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*w**2 + 2059621*w + 102904052 wrt w.\nAnswer: 36*w + 2059621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 0 - (10 + -7) - 3 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(6*s - 3*s - 2*s)*(2 + 32*s**2 - 1 - 25*s**2)*(46*s - 46*s - 43*s**2).\nAnswer: -903*s**5 - 129*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -23. Let o = 48 + -32. Let c = o - a. What is the third biggest value in -3, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8853 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -519 != -385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*y**2 - 17 - 3*y**2 + 65 - 2*y wrt y.\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r + 9. Let t(c) = 14 + 160*c + 171*c - 348*c. What is 8*a(u) - 5*t(u)?\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 24*b + 2483. What is w(-103)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.15790033?\nAnswer: -0.047370099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1278 divided by -142.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 27*b + 165. Let r be c(-18). Suppose r*m = -4*v + 2, -3*v + 6 = -3*m + 15. Sort 3, m, 18 in decreasing order.\nAnswer: 18, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-9)\/(-48)*(20\/(-12))\/(60\/(-456)) and 8\/2493.\nAnswer: 19944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -931*g + 226. Is v(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = k - 5 - 2, -4*m - 2*k = 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 44, 34 in increasing order.\nAnswer: -5, 34, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745633 = 10*n - 745463 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 9:02 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 165913874 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6\/7 (b) -9.6 (c) 0.12 (d) 2 (e) 0.2 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 757838 to the power of 1\/2, to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -43*z + 39*z + 3, 3*z = -d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.091 * -22333.1\nAnswer: 2032.3121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.0752 + 1.07527835. What is c rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -5*k**4\/24 + k**3\/6 - 49*k**2\/2 - 20. Let g(j) be the second derivative of n(j). Calculate g(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31426670 a multiple of 1132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 12:27 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472763660 a multiple of 1101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:18 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 118 + 118 + 117 - 353 + 1512*i in the form m + o*i and give o.\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -473\/3 + 158. Put -4\/7, 2\/11, 4, a in decreasing order.\nAnswer: 4, a, 2\/11, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -13. Let a = -138.82 + 131. Let g = o + a. What is g rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.7002758 rounded to 2 dps?\nAnswer: 26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 688 + -693 - (2 + -28)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 1. Let m(i) = 14*i**3 - 200*i**2 - 12. What is m(o) - 12*x(o)?\nAnswer: 2*o**3 - 200*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83148 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/60 - j**4\/4 - j**3 + 6*j**2. Let w be a(-4). Solve 3 = y + w*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 247886 + -151695. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 10*d + 135, 3*d = -2*y + 2919 - 2963 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-6)\/18*(-3)\/2)\/(5828\/81592).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 17, 21, 21, 17, 9, -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2368 - -2385.968. Let k = b + -17.9. Sort -2\/5, 0.5, k in ascending order.\nAnswer: -2\/5, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124173506474*i - 4*i**2 + 124173506474*i.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 5*m**9\/168 - 7*m**5\/12 - 28*m**2. What is the third derivative of i(p) wrt p?\nAnswer: 1800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 469 + 13883*j**2 + 9*j - 13713*j**2 + 3694 wrt j?\nAnswer: 340*j + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3279 divided by 3.\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 19*j + 17. Let z be a(25). What is the remainder when 51 is divided by z\/27 + (-6)\/27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 + 49. Which is smaller: g or 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14533399?\nAnswer: 14533399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 15 + (4 - (-21808 + 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(6\/4 + -1). Let l be 120\/2475*(3\/c)\/1. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 420576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -828\/65?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = 16*q - 19*q. Calculate the remainder when 187 is divided by q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 554857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3394.5098 rounded to the nearest 10?\nAnswer: -3390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 172 and 1068.\nAnswer: 45924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 9. Suppose -3*l + 3 = -3. Suppose l*s + 7 + 7 = 0. Let x be -1*1 - (s + 2). Give g(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.7 + -17.843. Let u = -0.043 - g. Which is the second biggest value? (a) 0.2 (b) 0.5 (c) -6\/11 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38585 - 38589. Put 11, t, -1\/2, -29 in decreasing order.\nAnswer: 11, -1\/2, t, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*z = -4, 3*z = 3*y + y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 + 3574*p\/11 + 46124\/11.\nAnswer: 2*(p + 13)*(p + 1774)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**14*r)\/(r**(4\/17)\/r))\/((r**(-27)\/r)\/r**(-35)) assuming r is positive.\nAnswer: r**(149\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.173 + -0.073. Which is the biggest value? (a) 0.4 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 7*k**2 + 7*k - 1. Calculate the remainder when 9 is divided by b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-616))\/(3\/(-2))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*m + 93*m = f + 27, -4*f - 189 = 7*m for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 94*o**3 + 18*o**2 + 6*o - 7. What is the thousands digit of m(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -665, -780, -943, -1154, -1413, -1720, -2075?\n\"Answer: -24*x**2 - 43*x - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 4. Is 9 a factor of 159\/6 + (-1)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26713, -53426, -80139, -106852, -133565?\n\"Answer: -26713*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -29. Calculate the smallest common multiple of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957897 is divided by 9121.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 bigger than 1861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -24*l**3 + 2*l**2 + l - 2. Let q be g(1). Let i = 25 + q. Is 2 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 9\/8725 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 smaller than 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/334 + 3629\/3006. Find the common denominator of l and -87\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.136024*28.5\nAnswer: -3.876684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**3 + 0*a**4 + 8*a**4 - 17 - 7*a**4 wrt a?\nAnswer: 4*a**3 - 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(270)*-4) + sqrt(30))\/sqrt(6).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 15*h - 2. Let w(v) = -5*v - 1. Determine w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2634 - 9274 = -4*u. List the prime factors of u.\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11350 (base 8) to base 11.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.59ml in litres?\nAnswer: 0.89459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 25*v**4\/18 - 80*v**3\/9 + 64*v**2\/3 + 33*v - 13. Let l(f) be the first derivative of h(f). Factor l(y).\nAnswer: 2*(5*y - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1779144, -1779239, -1779334, -1779429, -1779524, -1779619?\nAnswer: -1779714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -4 + 1)*-2. Suppose -3*l + 5*a + 125 = 0, -l + 43 = -4*a + 2*a. Suppose -5*k + 5*v = l, -u*v - v = -k - 13. Put 9, -3, k in increasing order.\nAnswer: k, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -19 + 11*g - 40*g**2 + 6*g - 45*g**2 + 83*g**2. Let y be d(7). Factor -2\/5*p + 2\/5 - 2\/5*p**y + 2\/5*p**3.\nAnswer: 2*(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2))**(-6\/17) assuming v is positive.\nAnswer: v**(-3\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2, 12 = -2*x - 6*n + 2*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 9366 = -5*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/4, 0, 113.4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2061 times 1?\nAnswer: 0.2061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by (-36)\/((-4 - (-48)\/6)\/(-3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001536 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-4)\/(-6))\/((-424)\/(-159))). Solve -a*i + 21 = -5*n, i + 13 = 3*i - 3*n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 18*t - 14*t. Suppose 19 = t*b + 5*v, 2*v + 5 = -2*b + 15. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337464 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -38. Suppose -f - 3*z + 511 = 4*f, -x*f + 2*z + 318 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, g: 1, k: 2, p: 1, u: 7, d: 3}. Give prob of sequence upk.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011110 + -111101011?\nAnswer: -1101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3241 - -0.4.\nAnswer: -3240.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252, -261, -274, -291?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-1)\/((-291)\/(-109)). Let i = 4\/97 + y. Let o = -63 - -253\/4. What is the closest to 2 in i, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 45*s**2 - 301*s - 348. Give v(9).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 1.3, -17, 1.126?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o**2 + 0*o**2 - o**2)*(0 - 12 + 0) + 4*o**2 - 3*o**2 - 2*o**2)*(2*o**2 + o**2 - o**2).\nAnswer: -50*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*m = 146*m + 18 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 4962 = 5034 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*s - 36, -r + 4*s + 0*s - 28 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 7*t - 10. Let r be q(9). Suppose -7 - 8 = -5*i. Let b = 2635 + -2635. What is the closest to b in i, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 27*n - 2*n**2 + 5*n**2 + 27*n as s*n + c*n**2 + r and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7389*b - 3265934. Give r(442).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1) - (-2765)\/(-455)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -22*v**2 - 16*v. Let p(h) = -103124 + 103124 + 5*h. Determine b(p(o)).\nAnswer: -550*o**2 - 80*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 230 + -27. What is the remainder when z is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -18, -14?\n\"Answer: 4*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/18 + 400\/(-288) + 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a hour in minutes?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(13) + -1 - sqrt(143)\/(sqrt(11)*4)).\nAnswer: -9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine fifths of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -91*p**2 + 247*p**2 + 152*p**2 + 60*p**2. Let m(j) = -3*j. What is m(g(q))?\nAnswer: -1104*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(204)*-2)\/(sqrt(588) - sqrt(588)*1*-4))**2.\nAnswer: 2448\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*f - 332, -10 = 2*q + 3*q. Suppose -f = -14*y - 8*y. Which is the nearest to -0.2? (a) y (b) -2\/9 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:47 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023188360 to the power of 1\/3, to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -2978025 and -2977972 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.1 - 12. Let j = o + -5.2. What is the second smallest value in -0.4, -2\/7, -5, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 6*a + 4. Let s(f) = 3*f**2 + 13*f + 9. Calculate -9*r(z) + 4*s(z).\nAnswer: 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-16) - -3)*50\/30.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u. Let a(h) = -18948151*h**2 + h. Calculate j(a(b)).\nAnswer: -94740755*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(-1*sqrt(5)))\/(sqrt(33)\/(sqrt(33)\/sqrt(3))) + (-4 + (sqrt(704) + 1)*1)**2.\nAnswer: -49*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u + 6*u + 32*u - 2*u**3 - 50*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -59948845\nAnswer: -6\/59948845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 14*k + 276. Let x be (2 - -2) + k\/(-23). Let m(j) = -3*j**2 - 13*j + 5. Let h(w) = -4*w**2 - 19*w + 7. What is x*m(o) - 5*h(o)?\nAnswer: -o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 17. Suppose -4*c - 157 = -8*c + 5*g, -2*g = 2. Solve 5*j + c = u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 30. Let w be l(-14). Calculate the highest common divisor of w and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, 9, 50, 129, 258, 449, 714, 1065?\n\"Answer: 2*s**3 + s**2 - 2*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 617543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*y + 27. Suppose 5*c = -5*f + 35, 4*c + 5*f - 25 - y = 0. Solve 3*o = -5*s + 40, -s - 4*s = c*o - 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 8. Let d(p) = -p**2 + 8. What is 4*d(v) - 3*z(v)?\nAnswer: 2*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:17 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59022, -3\/5, 4, 8\/5.\nAnswer: -3\/5, 8\/5, 4, 59022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*w - 44*w - 1738 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q - 3*k + 272, -3*q + 4*k = -140. Let g be 10\/(-2)*q\/65. Is (-41)\/g*(-2 - -6) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -7) + (-2 - -2). Let j(n) = n**3 + 9*n**2 - 11*n - 10. Suppose 3*a + 25 = -5. Let k be j(a). Solve k = -4*f - t + 6 + g, -f + 4*t = -25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33296, -66530, -99764, -132998?\n\"Answer: -33234*r - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 c, 1 q, and 1 n when four letters picked without replacement from mqcpxcpcnxxmnmc?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/80)\/((-1)\/(-4)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106657 is divided by 35270?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:05 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38982, -38987, -38994, -39003, -39014, -39027?\n\"Answer: -f**2 - 2*f - 38979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**2 + 1\/6*f**4 - 1\/60*f**5 + 0*f + 0 + 0*f**3. What is the second derivative of r(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1737?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (11 - (6 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4794)\/(-20 + 67) + 194\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1270?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(13)*3)**2)*-1.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -48*x - 1496. What is h(-31)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 + -4 + 9 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/15 + -1 - (-90)\/600.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4970734 is divided by 2780?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 9:05 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/2, 5097, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3.2, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1\/2, 4, 0.3, -14, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 0*t**5 - 1\/6*t**3 - 1\/15*t**6 + 0*t**2 - 3*t + 0*t**4 + 0. What is the second derivative of d(u) wrt u?\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435875 - 437675 = 9982*c for c.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 805.\nAnswer: -724.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*p - 4004, 1665 = 2*p - 4*g - 339. Calculate the greatest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {l: 2, v: 12, u: 3}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 12. Let t be (-24)\/(-20)*20\/o. Solve 5*n = 3*k + 29, -4*k + n - t - 8 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*z + 3*n, 39*z + 5*n = 34*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**4 + v**2 + 23*v - 3*v**3 - 6 - 36*v + 15*v - 2*v**4 + 3 in the form r + o*v + t*v**2 + i*v**3 + d*v**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3645))\/((sqrt(162)\/sqrt(3))\/sqrt(6)).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8442 divided by 63.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbmv when four letters picked without replacement from {v: 1, m: 3, b: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17370314 + -5?\nAnswer: 17370307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyy. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 216 = -5*w, w = -3*u + 241 - 37. Suppose -4*i + 3*i = -34. Calculate the remainder when u is divided by i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -187 - -191. Solve -2*c + 0*c = 2*b - 10, -b + u = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7)*(-6 - -8).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 4*r - 8. Suppose 3*b - 11 = 5*u, 0*b = 3*b - 4*u - 10. Let y(m) = 3*m - m + m**3 + b*m**2 - 5*m**2. Calculate y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(78)\/sqrt(3) - sqrt(26)))\/sqrt(2)*5 + -6*-3*(sqrt(832) + -2))*6)**2.\nAnswer: -373248*sqrt(13) + 9751104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135304271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 16910 = 72*c - 10*c. Solve -c*d = -175*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667243066.\nAnswer: 2, 833621533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3. Let x be 0\/1 + s - 2. What is the remainder when 21 is divided by 9 - (x\/3 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 - (-67)\/(136479\/(-4850))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4513.99258 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 59217529979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1815 - 1814.72432. Let a = v + -0.272. Round a to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 41, 38, 35?\n\"Answer: -3*a + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -701 (base 16) to base 3.\nAnswer: -2110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + -4 - (-2)\/2. Suppose p*q - 10 - 2 = 0. Let -n + q + 0 - n - 4 - n**2 = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*v - 8, 45*c - 42*c + 3*v = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -21. Let d(q) = -q**3 + 4*q**2 + 2*q - 4. What is the remainder when b is divided by d(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a factor of 101040362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 - -101. Let y = -29 - q. Sort 3\/2, y, 1 in descending order.\nAnswer: 3\/2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 284, 408, 530?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258 * -217203.\nAnswer: -56038374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*h**2 - 7*h**3 - 1150 - 8*h**3 + 4*h**3 - 3*h**3 + 12*h**3 - 510*h.\nAnswer: -2*(h + 5)**2*(h + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 575 + 508 - 505 = 0. Which is bigger: -95 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*r + 6 + 12 = 0, r = w - 3. Suppose 0 = 5*h - w - 9. Let d be h\/33*-90 + (-4)\/(-22). Let f(p) = p + 4. Determine f(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/12*(2688\/16)\/(-6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzpz when four letters picked without replacement from zzzzzzpppzp?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 1\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 + -3b018cd?\nAnswer: -3b018ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -34544?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**6)**(3\/22)*(t**(-2))**(4\/17) assuming t is positive.\nAnswer: t**(181\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*u**3 - 2*u**2 - 223.\nAnswer: -18*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*t + 25*t - t**2 + 122*t**3 - 62*t + 0*t**2 + 16*t in the form f*t**2 + j*t**3 + n + g*t and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438*d**2 + 434*d**2 + 397*d**2 - 1185*d**2.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7702.462 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -529.5 and 3661.\nAnswer: -1938499.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**8\/112 + 9*x**7\/70 - 27*x**5\/5 + 2*x**2 + 4*x. Factor p(b).\nAnswer: 3*b**2*(b - 3)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 24*x + 1040. Give y(-43).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8321.017mg in tonnes?\nAnswer: 0.000008321017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**4\/12 - 2*h**2. Let x(r) be the third derivative of 0*r + 1\/60*r**5 - r**2 + 0*r**4 + 0 + 0*r**3. Calculate v(x(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**2 - 2*g**4 + 444*g**5 + g**2 - 446*g**5 - 5*g**2 wrt g.\nAnswer: -120*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 2*l - l)*(-5*l + 4*l + 4*l) + 174 - 16*l**2 - 174 + 0*l + 2*l**2 + 0*l to p*l + q + k*l**2 and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - -6*(sqrt(77) - sqrt(77)*2)))\/(sqrt(132)\/sqrt(3)))**2 + 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 4*b**2 + 3*b. Let n be v(-3). Suppose 0 = q + z - 4, -4 - 16 = -5*q - 4*z. Suppose n = q*d + 16. Let r(i) = -2*i + 1. Determine r(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (2 + -3)*-1. Suppose 0 = -3*c + h*c. Solve -s + c + 2 = -2*k, -4*s = 5*k - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299258014, 299258010, 299258006?\nAnswer: 299258002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 37*g**2 - 3*g - 4. Let w = 3 - 5. Is o(w) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800730 a multiple of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.005 (b) -2\/15 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4505*b**2 - b - b**4 + 930*b**2 + 504*b**2 to x*b**3 + z*b**4 + n*b**2 + w + r*b and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4289424 and -48.\nAnswer: -205892352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(1700) + 5)*2 - (0 + (sqrt(119) - ((sqrt(119) - sqrt(119)*2*-6 - sqrt(119)) + sqrt(119) - sqrt(119)))\/sqrt(7))*-2)**2.\nAnswer: -5240*sqrt(17) + 1167048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/7 + -1496)*-5. What is x rounded to the nearest one hundred?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 474 and 17898.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-14) - 670\/70. Let q be o\/(-3)*(-12)\/(-8). Suppose q*r - 297 = 318. What is r rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 + 10 + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 6 = -3*y. Calculate the highest common factor of 10 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/(8 - 280\/36). Suppose -14 = -y*n + c, -n + 6*c - 11*c = 22. Solve -1 = -3*x + 14, -v - n*x + 11 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1026, -2055, -3084, -4113, -5142, -6171?\n\"Answer: -1029*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -976946802 - -9610225712035\/9837. Let t be (-8)\/(-10930)*(-10)\/(-12). Let o = t + k. Find the common denominator of -4\/23 and o.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -4, -1040, -71, -1, 0 in descending order.\nAnswer: 39, 0, -1, -4, -71, -1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0 + 2*k**2 + 0*k + 2\/3*k**3 - 1\/8*k**4 + 1\/60*k**5. What is the units digit of j(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*o**2 + 1 + 0)*(-8 + 12 + 2 + 0 + 2 - 1 + (-1 + 0 + 3)*(-1 - 3 + 3) - 1 - 4 + 7).\nAnswer: 14*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(136)*-1 - 1*((sqrt(136) - 1*sqrt(136)) + sqrt(136)))\/(3*sqrt(968) + ((sqrt(128) + sqrt(8))*1 - sqrt(8))).\nAnswer: sqrt(17)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40.08 + 40.64. Which is the closest to 1? (a) 0.08 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333545 (base 6) in base 10?\nAnswer: 28073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5467704 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(2 + (-116)\/60). Let f(r) = r**3 - 6*r**2 + 6*r - 3. Let l be f(5). Let a = 108 + -754\/7. What is the third biggest value in n, a, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27172, 1218, -3, 1\/7, 4\/5, 6\/7 in increasing order.\nAnswer: -3, 1\/7, 4\/5, 6\/7, 1218, 27172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 1\/15*h**3 - 1\/30*h**4 + 0 - h + 2\/5*h**2. Factor n(j).\nAnswer: -2*(j - 2)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(0 - (-1 - -9 - 3)). Let h be -4 - ((-52)\/(-5))\/((-8)\/x). Is 1 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 - 540*y - 72900 = 0. What is y?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21880 - -0.184823398?\nAnswer: -21879.815176602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20129456 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 18*f**3 + 3 + 2*f**2 - f**4 - 331210*f + 331196*f in the form w*f**3 + p*f**2 + s + g*f + k*f**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:13 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 7*q**2 + 8*q - 6. Let y be f(7). Let x = y + -29. Calculate the remainder when 81 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c29 (base 15) to base 13.\nAnswer: -2a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 18932202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, -637, -2820, -7083, -14122, -24633, -39312, -58855?\nAnswer: -83958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - (-4 + 3) - (-3)\/3)\/(-8). Let l(h) = -h**2 + 5*h - 2. Let a be l(4). Suppose -1 - 1 = -a*w. Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5355*c - 10736 = -5371*c. List the prime factors of c.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1240 and 240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -4.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from ieibx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*k - 86*k - 16*k**2 + 182*k.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/54 and -23\/3366.\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s = -92. Suppose -4*n + 3*b = -2*n - 51, n - s = -b. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 3. Let j(o) = o**2 + 4*o + 3. Let q(s) = 3*j(s) - 4*m(s). Let c be q(-3). Suppose -4*x = 4*z - c, x - z = -0*z + 15. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -35. Let z be (-1032)\/g + (-4)\/(-6). Suppose i = -5*a + z, -a - 3*i + 21 - 1 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - 29) + -46 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 6. Let c(s) = -s - 1. Let d = 1 + -5. Give d*c(i) + m(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.1 in 3\/4, 9\/259, 4, 2\/5?\nAnswer: 9\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (7 + -1))\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**5 - 15484*m**3 - 288120*m**2 = 0?\nAnswer: -49, -21, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 + 10 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 319*b**2 - 918*b + 15454. Determine s(-322).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 12) to base 7\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -137, 4132\/17, -2, -0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*r - 50 = 0, 4*d + 5*r - 100 = -0*r. Let x = 145 + -128. Suppose z = v - 4*z - 9, 4*v = z + x. Solve -5*g + d = -3*j, -j + v = 2*g + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73389606 and 21?\nAnswer: 513727242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -61. Let a(l) = l**2 + 4*l - 18. Let h be a(q). Solve -3*b - 2*b - 8 = -h*c, -b = -3*c - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -28 in descending order.\nAnswer: 0, -0.4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109781826.\nAnswer: 2, 3, 7, 11, 293, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47988.83s to nanoseconds.\nAnswer: 47988830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-2 - (-8 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:28 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -916, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (2 + 0)*-1. Let f be (z - -2)*1 + 1. Suppose 2 = v - 2*m, -2*v + 8 = f*v - m. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(sqrt(88) + sqrt(88)*2) - ((sqrt(88) - 1*-1*sqrt(88)) + sqrt(88))))\/(((sqrt(528)*-1)\/sqrt(11))\/sqrt(6)*5).\nAnswer: -18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4620 (base 7) to base 15.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1674 divided by -3.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6257 - 6247. Solve 49*q + y = 39*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3494 - -9615. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/13)*s)\/s**(-3\/8)*(s**(-1))**(-28))\/((s\/(s\/(s**(-2\/3)*s)))**(-49))**24 assuming s is positive.\nAnswer: s**(43839\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48205, -48212, -48219, -48226, -48233?\n\"Answer: -7*d - 48198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 13)*(-p - 2*p**2 + p) + 3*p**2 - 4*p**2 + 3*p**2 - 1 + 1 - 1 + 2*p**2 - p)*(1 - 6 + 3).\nAnswer: -60*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 9 (c) 2 (d) -2\/21 (e) 2\/7 (f) 24\/7 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -364de (base 16) to base 7.\nAnswer: -1614325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -61*i + 59*i. Let q = -37 - i. Solve q = c + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u**2 + 0*u**2)*(3*u**3 + 0*u**3 + 3*u**3) - 3*u**5 + 0*u**5 + 4*u**5.\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 n, and 1 k when four letters picked without replacement from kdcddndddddkd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -2, 4.\nAnswer: -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.99999949 + -25. What is z rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 less than or equal to 8647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1363630*i + 3397379?\nAnswer: -1363630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 9610*j. Let w(y) be the second derivative of -y**3\/6 + 4426*y. What is g(w(x))?\nAnswer: -9610*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - p = -0*p + 3, 342 = 11846*p - 11960*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*z = c + 40, -c - 3*z = 10. Let k = 82 - -41. Suppose -2 = -c*t + k. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.36 - -0.92. Round a to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 6*r**2 + 6*r - 3. Let q = 37 + -32. Calculate n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n**3 + 38*n**2 - 9*n - 15. What is f(-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*b = 5, 0 = a - 4*b + b - 9. Let t = a - -8. What is the second smallest value in -4\/3, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*a - 18 = 0, 0 = 3*v - 12954*a + 12945*a - 81 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 2*s + 8. Let p(a) = 4*a**3 + 18*a - 14*a + a**2 + 4*a**s - 3*a**3 - 1. Let y be p(-2). Solve 3*z + 0 = y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.1, -77886, 6?\nAnswer: -77886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 4)*72\/(-20). Suppose 0 = -5*l + 4*n + 62, n + 86 = 5*l + q. Let m = l + 10. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 81, 82, 79, 72, 61?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(200) + sqrt(200) + sqrt(14)\/(sqrt(7)*1))**2.\nAnswer: -2649 - 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1010722\/5 = 202144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -12*j + 0 + 0*j**2 - 5\/6*j**3. Let u(y) be the third derivative of y**5\/60 + y**2. What is u(f(q))?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1008 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(5\/4)*u**(-4)*u)\/(u*u*u**2*u)**(2\/5)*((u\/(u*u\/(u\/u**(3\/7))))\/(u*u\/u**(1\/5)*u))\/(u*u*u**(5\/2)*u*u**(5\/3)*u) assuming u is positive.\nAnswer: u**(-6991\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65*b**4 - 3*b**3 - 436*b**2 - b - 97915424 wrt b?\nAnswer: -260*b**3 - 9*b**2 - 872*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 19 - 1 = 0. Let m be (-2 - d\/2) + 3. Which is greater: 5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 - (-9 + 2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 14007, 82, -3, -2, 0 in decreasing order.\nAnswer: 14007, 82, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from kmi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -22360060 bigger than -22360047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-192)*3)\/(9\/54)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 0 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84303674?\nAnswer: 2, 7, 13, 463207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 2 = -223 - 319 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73385505 and 2280?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6062889169.\nAnswer: 6062889169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -779924*b**5 - 689400*b wrt b.\nAnswer: -15598480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k. Let q(n) = 6*n**2 + 5. Let y(x) = -x**2 - 1. Let m(i) = -q(i) - 5*y(i). Calculate m(f(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - a + 35, -2*a - 70 = 5*m + 2*a. Let h be 22\/m + 1\/5. Which is greater: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5573977 and 476.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76198 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 2 - 11 - 5*q. Let u be d(-7). Suppose -10 = 3*y + u, 4*y + 14 = -2*v. Solve -m - 3 = v*h, -8 = -4*h - 4*m - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3103946410.\nAnswer: 2, 5, 41, 7570601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20124224 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 55523976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -55022?\nAnswer: 55023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*h**3*r**3 + 4*h**3 - 2*h**2*r**3 + 2*h**2 + 10*h*r**3 - 393*h*r**2 - 3*h*r + r wrt h.\nAnswer: 102*h*r**3 + 24*h - 4*r**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = f + 8, 0 = -4*f + 2*f + u - 16. Let s = -2 - f. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/25 and 32\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 8:27 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -64.9282 and 36.02.\nAnswer: -28.9082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 50*-0.06144\nAnswer: -3.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + (11 - (0 - -8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 21, -3, -42 in decreasing order.\nAnswer: 21, -3, -15, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 21\/1222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*l = 18, 49 - 65 = 2*x + 5*l. Factor 6\/13*c + 2\/13*c**x + 0.\nAnswer: 2*c*(c + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 97 = -33*y. Sort 1, 0, 11, y in descending order.\nAnswer: 11, 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 2, v: 1, q: 6, h: 8, l: 2}. What is prob of picking 1 h and 1 v?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 7*a + 2 = 0. Let s(m) = m**2 + 7*m + 4. Suppose 2*i + 14 = -0*i. What is the least common multiple of a and s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 + 50 - 11*p**2 + 4 - 4 + p**2 + (-p - 4*p + 4*p)*(-2*p + 0*p + 0*p))*(6*p**3 - 4*p**3 + 2*p**3).\nAnswer: -32*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-95)\/(-1075))\/(-19)*-5\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.32829 to two decimal places.\nAnswer: -4.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 55*a**2 + 55*a - 56*a.\nAnswer: -55*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**3 - 32*p**3 - 32*p**3.\nAnswer: -78*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54.43 + 54.03. Put -0.04, h, 3, 4\/5, -4 in descending order.\nAnswer: 3, 4\/5, -0.04, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 83\/3, -2, -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -3\/4 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 18*j + 6. Let z(q) = 1. Let u(p) = 5*s(p) - 30*z(p). Let l(r) = -12*r**2 + 35*r. Let t(k) = 10*k**2 - 28*k. Let y(o) = 4*l(o) + 5*t(o). Give y(u(x)).\nAnswer: 16200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7)\/(n\/n**(1\/9))*(n**(-1\/2))**(-13\/4) assuming n is positive.\nAnswer: n**(-451\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 4*m + 0*m)*(0 + 0 + 2*m) + m**2 + 37 - 37 + (-3 - 3 + 4)*((5*m - 3*m - 3*m)*(2 - 2 - m) + (17 - 7 + 12)*(-2 + 2*m**2 + 2)).\nAnswer: -85*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(3280\/(-192))\/41?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/4, -1\/3, -17973, 7, -49 in decreasing order.\nAnswer: 7, 2, -1\/3, -3\/4, -49, -17973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -72*l. Let o be i(-1). Let h be -4*3\/18*-3. Suppose -6 = -h*s + 10. What is the highest common factor of s and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 + 2*h**2 + 2*h + 4. Let l(p) = 3*p**3 + 2*p**2 + 2*p + 5. Determine -2*l(o) + 3*w(o).\nAnswer: 3*o**3 + 2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*d**2*i**3*y - 1049*d**2*i**2*y**3 - d*i**3*y**3 - 7*d*y**3 + 2*i**3*y + 11*i**2*y**2 wrt d?\nAnswer: -30*i**3*y - 2098*i**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 3) + 3 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 97 + (-1788 - -1655).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9937, 19881, 29825, 39769, 49713?\n\"Answer: 9944*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.102 and 0.07984.\nAnswer: 0.00814368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 2 - (3 - 17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(504)\/(sqrt(12)*-1))\/(sqrt(60)\/(sqrt(10) - (sqrt(10) + (sqrt(200)\/sqrt(4))\/sqrt(5) + sqrt(10)))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -2*i**5\/5 + 3*i**4\/8 + 3*i**3\/2 + i**2\/2 + 8. Solve a(l) = 0 for l.\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 21, -3\/7 in ascending order.\nAnswer: -3\/7, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**5 - 9*a**4 + 5*a**3 + 67841*a**2 wrt a.\nAnswer: -180*a**2 - 216*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212 - 208. Which is the nearest to -11\/6? (a) -2 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-7) - (-8)\/4. Let c = -0.1 - -0.2. Put -3, c, v in decreasing order.\nAnswer: v, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -4\/1983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w = 35*w + 30. Suppose -2*u - 61 = -w*r, 2*r + u + 14 = 3*r. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23298, 23293, 23286, 23277, 23266, 23253?\nAnswer: 23238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14*h - 5. Let x(w) = 9 - 14 + 1 + 7*w + 6. Let l(j) = 4*r(j) + 9*x(j). Let g(m) = -2*m. Calculate g(l(f)).\nAnswer: -14*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -3*n**4\/4 + n**3 - n**2 + 3*n - 51. What is q(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.4, 1\/1843, -0.3, -3 in decreasing order.\nAnswer: 0.4, 1\/1843, -0.2, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 158, 308, 448, 578, 698?\n\"Answer: -5*o**2 + 165*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 5. Let w be i(5). Suppose -w*k + 273 = 3*x, 0*x + 158 = 3*k - 4*x. What is the remainder when k is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128274*d**2 - 218317 wrt d.\nAnswer: -256548*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -63, -156, -289?\n\"Answer: -20*l**2 + 7*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, n: 2, q: 9}. Give prob of sequence jn.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/((-825)\/22))\/(-6 + (-62)\/(-10)). What is the smallest value in 3, x, -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 4*j**2 - j**2 - 5*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuunzznu. Give prob of sequence nzu.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 7*n**2 - 8*n + 6. Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6987, -6983, -6957, -6897, -6791?\nAnswer: -6627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71818339 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 274467973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 - -73. Solve 0 = m + 3*n - 10, x*m = 4*m - 4*n + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 6*k + 6*k + (-2 - 1 + 5)*(3*k - 4*k + 2*k).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -6\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 14*b**3 + b**2 - b. Let m = -19367 - -19421. Calculate the remainder when m is divided by w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 3:29 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:30 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119528*a**2 + 40567*a**2 - 140073*a**2.\nAnswer: -219034*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -13*p. Let q(u) = -646*u**2. What is g(q(b))?\nAnswer: 8398*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*(-6)\/((1\/2)\/(25\/(-300)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5*(-7)\/(-2))\/(8 + 1738\/(-220)). Solve -w*f = -192*f - 85 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.3 (b) 5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 7*w**2 + 11. Calculate the remainder when 21 is divided by a(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 320\/16 + -27)*(3 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(175) + -1 + sqrt(175) + sqrt(175) + sqrt(175))**2 - (-1 + (-1 + sqrt(175))**2)) + 4 + sqrt(35)\/sqrt(5) + sqrt(567)\/sqrt(9).\nAnswer: -226*sqrt(7) + 16635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18923*b + 9 - 9 - 16759*b to p + x*b and give x.\nAnswer: 2164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -25205?\nAnswer: -25211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 95258 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.08 + 0.15. Let f = 0.17 - c. Let m = 0.14 - 0.08. Is m <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*7\/28*4\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143*i**2*p**3 - 3583*i**2*p**2 - 19330*i + 59*p**3 wrt i.\nAnswer: 286*p**3 - 7166*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*j = 1108 + 719 - 447 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -6, 1, -64?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*b - 17*b + 705 - 764)*(-4*b - b**2 + 4*b) as t*b**3 + r + y*b + h*b**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, 1\/9, 2\/9, 251317?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*v + 65749 + 71849 = 0. Is 102 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4119*c - 114973. What is b(28)?\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/25 + (-12)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*q + 19*b**3 + 16*b**2 - 2*b*q - 2*b + 13*q wrt b.\nAnswer: -12*b*q + 114*b + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-20))\/(54\/144).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1901 - -1901. Is 1874 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36080088 divided by -1672?\nAnswer: -21579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -185 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 779, 1550, 2163, 2540, 2603?\n\"Answer: -13*c**3 - c**2 + 865*c - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 379 or -8\/7?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/21? (a) -1\/4 (b) -2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 + 48 - 30*l)*(-113 - 142 + 38)*(-2 - 2 + 6) to the form a*l + p and give a.\nAnswer: 13020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1010011?\nAnswer: -1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -9. Let p = l - 14. Which is the smallest value? (a) -1 (b) p (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21590311, -43180550, -64770789, -86361028?\nAnswer: -107951267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 13 + 167*y + 181*y.\nAnswer: 348*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/24*5\/(80\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 + (-160)\/50. Let n = 29.4 + -31.4. Let j = 2 + -1. What is the third smallest value in n, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**4 - 32*q**3 - 104*q**2 + 672*q + 1764 = 0?\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 320022 + 3?\nAnswer: 320025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -306*q + 201*q + 385875. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence audd when four letters picked without replacement from {a: 6, f: 4, q: 1, d: 5, u: 4}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(176)*2 + -4*(sqrt(176) + 2))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*i - 975 = 624 - 71 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 431249033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {y: 8, k: 2, h: 7, l: 1, m: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -68*u. Let k(z) = -58*z + 726. Let m(x) = 19*x - 264. Let g(w) = -4*k(w) - 11*m(w). Give -6*c(d) - 17*g(d).\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.33 in 1\/4, 5, -45\/11, 2\/49, 2\/9?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-16 + 17 + -25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 607812523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11230 or -11232?\nAnswer: -11230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320 is divided by 76.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5106287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 36. Let n be b(-19). Let h(v) = -19*v**2 + 9*v**n + 9*v**2. Let m(p) = 27*p**2. Give m(h(g)).\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 12*r**2 + 2*r + 4. Calculate f(12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/8653814?\nAnswer: 9\/8653814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 3, b: 1}. Give prob of picking 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38761 is divided by 5479.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*v - 140 = 0, -2*t + 3*v = -0*t + 36. Let m = t - -25. Suppose 3 = 3*p, 5*l = 4*p - 13 - m. Sort -3, -4, l in descending order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(180) + (sqrt(180)*1 + 1 - sqrt(180))).\nAnswer: 15 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2195, -4079, -5977, -7895, -9839, -11815, -13829?\nAnswer: -15887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1157533 - 4?\nAnswer: -1157537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -3082.46401.\nAnswer: 3082.36401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 8:09 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8148 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-3\/7))\/n*n**(1\/3)*n*n\/(n\/n**(-2\/9)*n)*n*n*n**(-1\/3)\/n*n)\/((n**3\/n**(-1))\/(n\/n**(-2)*n\/(n**(-2)*n))) assuming n is positive.\nAnswer: n**(202\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(700)*1 - sqrt(700)) + sqrt(28) + (sqrt(168)*2)\/sqrt(6))\/((1*sqrt(8)*3)\/sqrt(2)) + 0)**2.\nAnswer: -2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167936 and 384?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11466 and 190638.\nAnswer: 17348058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22100 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 + -1 - 13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -4 (b) -2 (c) -0.1 (d) 61 (e) -0.2 (f) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 872 and 2832?\nAnswer: 308688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 32, 15, 0.2 in decreasing order.\nAnswer: 32, 15, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 14309 + 14337 = -5*r, 4*o - 12 = r. Factor -2\/15*q**3 - 2\/15*q**5 + 0 + 0*q**o + 0*q + 4\/15*q**4.\nAnswer: -2*q**3*(q - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -331*d**2. Let g(v) = 5*v. What is p(g(z))?\nAnswer: -8275*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61108 is divided by 1050?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*l**3 - 19*l**2 + 923 wrt l.\nAnswer: 54*l**2 - 38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, -3, -4 in descending order.\nAnswer: 159, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 411083105 by 2.\nAnswer: 411083105\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 + 14*u - 74)*(35*u - 22*u - 31*u - u**2 + (-5*u + 0*u + u + (-2*u + u - u)*(5 - 4 + 1))*(-2 + 2*u + 2)*(-4 + 0 + 2)).\nAnswer: 434*u**3 - 252*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/(g\/g**(-2\/21))))*g**(-3)\/g*(g\/g**(-2))**(4\/3))**(-18) assuming g is positive.\nAnswer: g**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3666884 divided by 934\nAnswer: 3926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -369503, -739014, -1108525, -1478036, -1847547, -2217058?\n\"Answer: -369511*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 674002957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-102)\/(0 - (-2)\/3). Let r be (-30)\/20*(0 + -162). Let o = j + r. Calculate the highest common factor of o and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1019039 or 1019106?\nAnswer: 1019106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -97 + 44 + 2*m**2 - 2*m**3 - 4*m + 38 + 110*m**4 + 17 in the form b*m**4 + c*m + f*m**3 + k*m**2 + p and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:26 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3 - 3)*(-o**3 - 4*o**3 - 3*o**3) + (-3 + 3 - 3*o**3)*(-4 - o + 4) + 42*o**4 + 39*o**4 - 79*o**4 + 20.\nAnswer: -11*o**4 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 5*s**2 + 3*s - 7. Let c(t) = -t - 16. Let g be c(-19). Let r be (6\/(-9) - 1)*g. Calculate m(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-7 + 12 + -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -3 - (5 + 5 + -3 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*y = 259*w - 258*w + 18, -5*w - 90 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -104+-15.29525\nAnswer: -119.29525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 48*k + 15. Let a be t(7). Suppose 2*l = -101 + a. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 5:02 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(6\/(-86))*(-8)\/(-4). Suppose -2*i + 3*i = k - t, -5*i + 242 = 3*k. Calculate the highest common divisor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836186 and 1508?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 b, and 1 x when three letters picked without replacement from {b: 8, y: 2, x: 3, v: 2}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, -78.9, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + 53*h**5 + 59*h**5 + (0*h + 0*h + h**2)*(3*h**3 - 3*h**3 - 2*h**3).\nAnswer: 107*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnp when three letters picked without replacement from pnpnnnnnnn.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7942.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -4) + (-5 - -1) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41\/(4715\/(-46)) + (-18)\/(-20)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 11:45 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 583\/(0 + 0 - (-35 - -36)). Let u = 587 + p. Solve -u*z + d = 20, 4*z - 5*d = -0*d - 36 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720917 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 12*i + 13. Let y be w(-12). Suppose 0 = -2*h - 2*b + 8, 2*b = -3*h - 0*b + y. Solve 2*n - h*u = 1, 5*n - n - 10 = 2*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-nine halves of a millennium?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 29*n**2 - 39*n + 84. Let h be d(28). Let y = -1215 - h. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -16*b**4 - 1824*b**3 - 311892*b**2 - 23704704*b - 675584040. Let o(t) = -t**4 + t**2 + 2. Let h(n) = 12*o(n) - s(n). Factor h(u).\nAnswer: 4*(u + 114)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30, 37, 44, 51, 58?\n\"Answer: 7*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 735 + -1184. Let l = -258 - d. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 17*p + 5. Let d = -14 + 24. Does 21 divide a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 1. Let u = -22 - -32. Let v be (-8)\/u*(-10)\/4. Let c(b) = 2 - 4*b**2 - b**2 + b + 3*b**v. Determine -c(t) + h(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -46*r + 59*r. Find the third derivative of -147*y**r - 3515 - 2*y**2 + 3450 + 3*y**2 wrt y.\nAnswer: -3528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 4. Let a(m) = 0*m + 41 - 9*m + 9*m - 4*m - 3*m**2 - 37. Let x(j) = 3*j**2 + 5*j - 5. What is g*x(l) - 6*a(l)?\nAnswer: 3*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -2. Let m be o\/2 - 10\/(-4). Let h be ((-6)\/20)\/(75\/200). What is the closest to -0.1 in m, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268391 at most as big as 268390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/(-3))\/(((-154)\/462)\/((-927)\/(-9)))\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13383180)\/371755*-1*2\/12*-2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39332 and 484?\nAnswer: 4759172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f - 1. Let i be u(1). Which is bigger: i or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 l when four letters picked without replacement from xxxllxxlxlxxxllllxlx?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 164? (a) 4 (b) 0.5 (c) -0.3 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o + 22*o - 10*o - 2. Give d(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c - 3*a + 9, 4*a + 20 = 0. Suppose -3*l + 2*y + 4 = 0, -6*l + y = -11*l + 24. Put c, -4, l, -5 in descending order.\nAnswer: c, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(-1 + sqrt(2)))**2 + (sqrt(144)\/sqrt(8))**2 + ((sqrt(24)\/sqrt(3) + sqrt(8))\/sqrt(4))**2.\nAnswer: -512*sqrt(2) + 794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -14203?\nAnswer: 14210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 144 = -4*x, -4*z + 23 = x - 13. Solve x*o = -76 - 140 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -179*p**2 - 15934*p - 263. What is x(-89)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 14*v + 38. Let d be a(11). What is the closest to 2\/7 in d, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*b*d**3 - 133*b*d**2*u + 1051*b*d**2 + 2*b*d*u + 6611*b*u - d*u - 3*d - 28*u wrt d?\nAnswer: 168*b*d - 266*b*u + 2102*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*i**2 - 2*i**4 - 7*i**2 + (2*i**3 - 3*i**3 - 2*i**3)*(4 + 2*i - 4).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -939 = -5*r - 7*b, 4*r = -2*b - 1591 + 1867 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 12:51 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 234571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5)**33 assuming q is positive.\nAnswer: q**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 3412332?\nAnswer: 3412330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (25 + -6 - -1) - 125?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -11) + (2 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -12*b + 62 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 4:34 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 + 2*w**3 - 2*w**4 + 5*w**2 - 586*w + 589*w in the form k*w**2 + q + l*w**4 + x*w + u*w**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4648477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -12. Calculate the greatest common factor of d and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -534*v**2 + 6*v - 8800 wrt v.\nAnswer: -1068*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32418 divided by 16209.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 17 = w, 4*w + 75 = -4*t + 7. Let i be (-2 + 0 + 1)*t. Let q = i - 5. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = -2*k + 902*y - 897*y, -3*y - 312 = 3*k. Is -123 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3817347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**3 - 9*a**3 + 1 + 89*a + a**3 - 78*a as n*a**2 + x + t*a**3 + h*a and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4520865 is divided by 5520.\nAnswer: 5505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**3 - 5*m**2 - 7. Let s(k) = -k**3 + k**2 + 1. Give -2*n(q) - 10*s(q).\nAnswer: -2*q**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2641599091?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13773, -27554, -41335?\nAnswer: -55116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 707 divide 1010120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (79\/(-158))\/(14\/(-8)). Let 4\/7*m**2 - 2\/7*m + u*m**3 - 4\/7 = 0. Calculate m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88079242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2344 + -11?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/10 - (-9)\/(-6))*4. Let n = -9 + 22. Let k = n - 8. Sort k, -1, x in increasing order.\nAnswer: x, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)\/u**6)\/(u**(3\/7)*u*u**(-1\/2)) assuming u is positive.\nAnswer: u**(-901\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-79)\/((7 - 5) + -3). Which is smaller: g or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 45\/4 of a kilogram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38594.69 and -121.01.\nAnswer: -38715.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/6)\/(-7)*1\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2098608 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -31*s - 93. Determine f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let r = 58936\/1209869 - -2\/29509. Which is the biggest value? (a) u (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222221101210101 (base 3) in base 4?\nAnswer: -312213131200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -28094?\nAnswer: 1\/28094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -16519 and -23953.\nAnswer: -40472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**3 + 5*b**2 - 5*b + 10. Let l(v) = v**3 + v**2 - 1. Let s(a) = i(a) + 2*l(a). List the prime factors of s(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/((-63)\/(-7)))\/(-99)*-9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 5:38 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 - 0) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 - 4699*o**2\/3 - 5555224*o\/3 - 27424820.\nAnswer: -(o + 15)*(o + 2342)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 8. Let i(w) be the first derivative of w + 120. Determine i(y) - v(y).\nAnswer: y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 446, 491 in ascending order.\nAnswer: -50, 446, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51214*p + 391 = 51237*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 + 26*k**2 + k**2 to u*k + z*k**2 + m and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:10 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 64 = 1. What is the highest common divisor of 153 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3724656?\nAnswer: 2, 3, 13, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 21\/101 (b) -13 (c) 0.4 (d) 5 (e) -0.3 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from fnzfzyyfyf.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 5*d = -18*d + 1176. Let x = 6 - -8. What is the greatest common factor of d and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 6*w - 32. Let q be u(9). Let r be (1\/(-3))\/(q + (-1326)\/(-252)). Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21033, -21923, -23425, -25539, -28265?\n\"Answer: -306*i**2 + 28*i - 20755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 66, -1, 5, -11.\nAnswer: -49, -11, -1, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + r + 71, -12*o + 2*r - 369 + 649 = 0 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0199129 + 0.5199129. Let i be ((-6)\/8)\/(1\/(-4)). Let u be (-1)\/(0 + -1)*i. Sort v, u, 2 in increasing order.\nAnswer: v, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let s be (504\/(-196))\/((-3)\/7). Let i(z) = 3*z - 14. Let w be i(s). Solve -w*q - o - 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.9571 litres in millilitres?\nAnswer: 205957.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 32*v**5 - 4*v**5 - 1282*v**3 + 1279*v**3 + (-3*v**2 + v**2 + v**2)*(3*v**3 + v**3 - 3*v**3).\nAnswer: 27*v**5 - 3*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f**3\/6 + 1410163*f**2\/3 + 47347532150*f + 175855777500 = 0 for f.\nAnswer: -201450, -26\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x. Let g = 3 - x. Differentiate 0*w**g - 6*w**3 + 1 + 2*w**3 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5*g - 360*g**2 - 8*g + 19*g**2 + 0*g - 6*g.\nAnswer: -341*g**2 - 9*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 745339*l**3 - 74*l - 9515 wrt l.\nAnswer: 4472034*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232765 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from cyoooyyccocco?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**4 + 2*o**4 - 5*o**4)*(0 + 0 + o + (-7 - 3*o + 7)*(4 - 1 - 1)).\nAnswer: 20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 7*p - 13. Determine t(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Let k be (2 - 1)*(w - -1). Suppose -7*p + 4 = -k*i - 3*p, -i = -2*p + 4. Solve n - i*n = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 1. Let q(m) = 12*m + 9. Suppose 0 = -4*p - 2*p + 6. Let n be (-98)\/539 - (p - (-24)\/(-11)). What is n*q(l) + 9*y(l)?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = 24*l + 15. Suppose 9*r + 2*r - l*r = 0. Solve r = -17*o + 18*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18215530?\nAnswer: 2, 5, 1821553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 - 2?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 5*x - 57524 = 3*j, 4*j = 3*x + 76747. List the prime factors of j.\nAnswer: 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -624.416365 rounded to the nearest 10?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -20. Suppose 0 = 5*q - 138 + 3. What is the remainder when q is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -7290 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 975. What is the remainder when s(23) is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x + 5. What is n(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*f + 26 = 0, 5*s + 3*f = 4*f + 29. Let d be s - 0 - (0 + 1). List the prime factors of ((-1)\/(-1))\/(1\/d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 3:50 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**4\/36 - i**3\/3 - 5*i**2\/6 - 65*i. Let f(q) = 0. Calculate q.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 + (-6)\/(-14). Let k(f) = -92*f - 1288. Let h be k(-14). Suppose h*g + 2\/7*g**3 + 0 + 1\/7*g**4 - w*g**2 = 0. What is g?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, f: 1, e: 4, r: 2}. What is prob of picking 1 r, 1 q, and 2 e?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*i - 75*i + 42 - 40 - 68*i.\nAnswer: -25*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 5*f - 6. Let a be t(-6). Let o(r) be the second derivative of r**5\/20 + r**4\/12 + r**3\/6 - r**2\/2 + r. Calculate o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13 + (-4166019)\/(-153) + (-2)\/(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c4c + 4?\nAnswer: 2c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3767*x + 7460*x - 3729*x + 864 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654949929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 16 = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z + 1. Let x be y(-1). Suppose -c + 1663814 - 5663814 = x. What is c rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.15 (c) 0.22 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = h - 3*i - 50, 3*h - 150 = -3*i. What is the greatest common divisor of h and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 364, 812, 1308, 1858, 2468, 3144, 3892?\n\"Answer: u**3 + 18*u**2 + 387*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 15. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436472?\nAnswer: 2, 54559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/330 - 31*c**4\/66 - 61*c**3\/33 + 3029*c**2. Factor s(y).\nAnswer: -2*(y + 1)*(y + 61)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**0*(y\/((y\/(((y*y**(-1\/20))\/y)\/y*y))\/y))\/y assuming y is positive.\nAnswer: y**(19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228)*2*-6 + sqrt(228) - sqrt(228)*-1*6)*-3)\/(-6*1*sqrt(768)*-1))**2.\nAnswer: 475\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29485036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4291?\nAnswer: -5\/4291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128812 (base 13) in base 8?\nAnswer: -24075067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13116*r**3 + 24635*r**3 + 0*r**2 - 11552*r**3 - r**2.\nAnswer: -33*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 32*g**2 - 6*g - 19. Let m(d) = 3. What is 6*m(z) + x(z)?\nAnswer: 32*z**2 - 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 31*y = -34*y - 25200, 3*y = 4*k - 20157. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -971145 (base 10) in base 15?\nAnswer: -142b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k + 0*k + k**2 + 1 - 4*k. Let s be a(6). Solve 2*g - l = 6, 5*g - l = -s + 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -23 (b) -0.01 (c) -5\/7 (d) 2 (e) -2 (f) -1 (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1247875 * 0.2\nAnswer: 249575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*n**2 - 2 - n**3 + 2*n + 49*n**2 - 15*n**2 - n**4 to j*n + i + f*n**3 + l*n**4 + p*n**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*a + 156*a + 63*a)*(2*a - 2 + 2).\nAnswer: 408*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5782 rounded to 1 decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - (2*sqrt(117) + sqrt(117) + sqrt(117)) - sqrt(117))*-2 + sqrt(117))\/(sqrt(45)\/sqrt(180)))**2 + 5.\nAnswer: 37913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**6\/720 + 17*g**4\/4 - 77*g. Let u(b) be the third derivative of i(b). Let o(n) = -10*n. Calculate u(o(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-598)\/161)\/((-46)\/14). Are f and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 28 = -106*w + 111*w, n = -w. Suppose -2*z + 2 = -0. Suppose -2*c = -9 - z. Solve c*d + w*b - 40 = d, b + 10 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.004 and 276.\nAnswer: -1.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m - 639 - 4599. List the prime factors of m.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.124462 + 11.511862. Let w = n - 11.4. Let z = -0.02 - w. What is z rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637220 is divided by 238?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzz when three letters picked without replacement from bzzbbzzzzzzbzbzz?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6300, 2\/229 in decreasing order.\nAnswer: 6300, 2\/229, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.4. Let k = 514.8 - 515. Which is the biggest value? (a) k (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 115. Let c = 75 - v. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.53 - -2667.\nAnswer: 2659.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 3*z\/4 - 85.\nAnswer: (z - 20)*(z + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*-1*(4 + (-141)\/24)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 596 - 596.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 + 1092205*l + 7645680 = 0. Calculate l.\nAnswer: -7, 218448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u - 2*u + 15*u + (6*u - u - 4*u)*(-1 - 4 + 3)*(-5 + 1 + 6).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.02 - 17. What is the third smallest value in r, -1\/2, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205 - 201. Suppose -53 = -b*d + 211. Calculate the smallest common multiple of d and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*x + 176 = 0, 2*u - 5*u + x - 112 = 0. Let a = 8180\/7 - 34169\/28. Let f = u - a. Find the common denominator of -23\/7 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -6, 4*c = -v - 2*v + 14. Let b = 4 + 1. Let q = 22 + -15. Sort b, q, c in descending order.\nAnswer: q, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 1. Let t(m) = 4*m + 33. Let n(x) = t(x) + 5*y(x). Let w be 5*(-1)\/(30\/(-54)). List the prime factors of n(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8731.\nAnswer: 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 3*c - 14. Let y be m(-8). Let z = y - 58. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 8, z: 8, m: 1, u: 2}. Give prob of picking 1 m and 1 r.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 - 1192761*u**3 + 45463*u**2 - 48 wrt u?\nAnswer: 240*u**3 - 7156566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 142\/(-9) + (-2)\/9. Let z be 3\/(-12) + (-36)\/m. Sort z, -5, 4 in increasing order.\nAnswer: -5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 411, 819, 1227, 1635, 2043, 2451?\n\"Answer: 408*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/10 and -47\/38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10*-96.19\nAnswer: 961.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5088 + -5087. Which is the third biggest value? (a) 98 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j = -202. Let q = j + 153. Suppose -3*y - 2*z = -32, -5*z + 0*z = 4*y - q. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 2, p: 3, j: 1}. Give prob of picking 1 f and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n + 5*n + n + (2 - 9*n + 2*n + 9*n)*(-3 + 6 - 4).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19554*m + 640 = 19490*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3829 + -38407\/10. Let l be 614\/(-1)*2\/4. Let r = 910\/3 + l. Find the common denominator of r and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-20))\/(((-156)\/(-12))\/(-65))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(468) + 1 - sqrt(13))*-4 + (-4 + sqrt(104)\/(sqrt(392) + -1*sqrt(392) + sqrt(392) + sqrt(392)))**2.\nAnswer: 7853\/196 + 836*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -27562.617.\nAnswer: -27553.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -8*39\/(-52) - -9. Let o(u) be the third derivative of 5*u**4\/24 + u**3\/3 - u**2. Let f(c) = 6*c + 3. Calculate m*f(r) - 4*o(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, e: 1, n: 1}. What is prob of picking 1 n and 1 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/12 - 98\/(-3). What is the greatest common divisor of q and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3376585 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j + 30. Let u = j + 10. Calculate the lowest common multiple of u and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 - 57. Let k = -26 + m. What is the second smallest value in -6, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -845 + 1579. Is 47 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwdiwbiddwdi. What is prob of sequence ww?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3851 + 7.4209. Let p = 2.584 + i. Round p to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10121 (base 3) in base 11?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3805 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -4*q**3\/3 - 120*q**2 - 236*q - 53. Let n(s) = 0. What is s?\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1928 - -1947. Solve 2*j - 18*r = -i*r + 3, 13 = 4*j - 5*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -197? (a) -0.5 (b) 5 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -11*w + 2\/3*w**3 - 21\/2*w**4 - 58 + 0*w**2. Find the third derivative of v(d) wrt d.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 27*p**2 + 45*p + 507. Determine h(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 14*q - 12*q. Let o(t) = 2*t**2 - 10*t + q*t + 3*t. Let u(a) = a. Calculate u(o(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -242311270*a*y + 4391*a - 3189 with respect to y.\nAnswer: -242311270*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -100. Let z = 44 + h. Which is the closest to z? (a) -4 (b) -2\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -1.02 (c) 0 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 91, 216, 393, 622, 903, 1236?\nAnswer: 1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 17*q**2 - 71*q - 104. Let p be w(-6). Is -116 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(24\/(-16))\/(6\/(-236)). Suppose 0 = -v - 3*v + 268. Let o = i + v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12389397, 24778668, 37167941, 49557216, 61946493, 74335772, 86725053?\n\"Answer: o**2 + 12389268*o + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o**2 - 20*o - 34. Calculate k(-8).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.3 + 5.8. Which is the second smallest value? (a) -1\/5 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 2, p: 1}. What is prob of sequence hl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*d + 10 = 0, 4*h + 4*d + 8 - 24 = 0. Suppose -3*f = -3*z + 267, h*z + 2*f - 3*f - 457 = 0. Let c = 82 + z. List the prime factors of c.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 + -4. Let h = -1.924 + -0.076. What is the closest to 1 in 1\/2, h, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 23775 + c - c + 5*c + 23775.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14580447*q. Let b(h) = -14*h**2. Determine g(b(i)).\nAnswer: -204126258*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 7:17 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(66)*-2 - sqrt(66)))\/(sqrt(216)\/sqrt(9) - sqrt(6)))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 51*d**2 - 221*d - 2. Give j(-55).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 44320 to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-3)*q*q*q*q*((q*q**(-11))\/q)\/q*q*q**(6\/5)*q*q*q\/(q*q\/q**(-2\/51)*q*q) assuming q is positive.\nAnswer: q**(-1999\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5*m = -9*l + 1214699, 404897 = l - 3*m. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3.9, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -555, -0.5, 120 in ascending order.\nAnswer: -555, -0.5, 2\/5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -68. What is the remainder when 71 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9 - (-1195)\/495 and (-64)\/(-28) + 0 + 0?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 49\/2, 0.04, 1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1396585*v**2 + 26489697*v wrt v?\nAnswer: -2793170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (-104020)\/(-2700) - 6\/(-10)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*h**5*j + 6*h**4*j + 114*h**3 - 17*h*j - 572*h - 4*j wrt h.\nAnswer: 360*h**3*j + 72*h**2*j + 684*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4031 + 249. Let f be (-1261)\/(-3) - (-2)\/(-6). Suppose o + f = -j. Round o to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/3129508 and 127\/12?\nAnswer: 9388524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -299 - -382. Which is greater: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 7, 34, 81, 154?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - -102. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - 22176\/(-378))*36\/651\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 2845*k + 1565654. Give x(472).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/4 + 405*u**4\/4 - 18489*u**3\/4 + 306891*u**2\/4 - 254604*u + 237699 = 0 for u.\nAnswer: 2, 33, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5165919 - -103291847\/20. Let l = 1327 + b. Find the common denominator of l and -93\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqw when three letters picked without replacement from {q: 2, w: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15492 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*6\/(-48) - (-29)\/(-8). Which is the nearest to 0.01? (a) -2\/13 (b) 1\/6 (c) 7 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12022799 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 8*b**2 + 25*b + 108. What are the prime factors of t(-8)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249 and 1077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1125 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 {n: 4, x: 2, z: 3, t: 6}. Give prob of picking 1 z and 1 n.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z - 7*z - 2 + 3 - 10555*z**2.\nAnswer: -10555*z**2 - 27*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/2520 and 59\/12.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1707.363819us?\nAnswer: 0.0000000028230221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + o + 45234, 0 = -5*m + 46*o - 42*o + 56526. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 w when two letters picked without replacement from ldcucssluccsuuudwcc?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 + -140. Let c = 50 + o. Calculate the smallest common multiple of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) -0.3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3196.5946 to the nearest 10.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*h + 19701, -5*g - 2*h + 28983 = 9290. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113221752 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11156 divided by 2\nAnswer: 5578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k - 14 = 0. Let v = k - -17. Suppose 2317 = 13*t + 2135. Calculate the remainder when t is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l*l**(1\/3)))\/l)**38\/(l**(-2)\/(l\/(l\/(l\/(l*l**(-1\/3))*l)*l))))**(2\/7) assuming l is positive.\nAnswer: l**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*g = 377*g + 372*g - 14364 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 + 5*m + 2. Let t be z(5). Suppose t*f - 42 - 48 = 0. Let d = f + -22. Solve 3*s - 5*n = s - d, -5*s - 26 = -2*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 9*z - 9*z. Solve 3*u = -3*k + 4*k + 13, z = -5*k - 3*u + 25 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 32043.\nAnswer: -32042.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1. Let y(b) = 5*b**3 + 2*b**2 + 2*b - 7. Let a(s) = 11*s**3 + 5*s**2 + 5*s - 13. Let t(w) = 2*a(w) - 5*y(w). What is 9*o(d) + t(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 6:09 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a537 + 2?\nAnswer: -1a535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 10*x + 5. Give o(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/4289?\nAnswer: 1\/4289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 912 = -8*p - 2*p. Calculate the highest common divisor of 589 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d**2 - 2*d**2 - d**2)*(90*d**2 + 6*d**2 + 119*d**2)*(1 + 3 - 2) in the form s*d**3 + t*d + y*d**2 + f + m*d**4 and give m.\nAnswer: -1290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -168627.937 - 2149.\nAnswer: -170776.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - r = -0*p + 436, -248 = -3*p + 4*r. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -511 + 511. Solve 3*b - 3*f = j, -4*b + 27 - 7 = f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = 12*y - 54. Solve 6*q - 9 = 3*q - y*i, 2*i - 7 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (612\/(-12))\/(-3) - -15 - 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(6)\/sqrt(3)*-2)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 1. Let v(f) = -2*f**3 + 9*f**2 + 187*f - 761. Let t be v(4). Let s(j) = 22*j**2 - 4. Determine t*s(l) + 12*k(l).\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m - 29. Let w be v(3). Which is the nearest to -3? (a) -4 (b) 38 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1585 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4651 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68228759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -507.243 + -0.757. Let f = 508.08415033256 - 0.08415650256. Let a = z + f. Round a to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -198.6491 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/4)\/(5\/(-85)). Let x(i) = -i**2 + 6*i + 13. Let p(y) = 3*y**2 - 17*y - 38. Calculate r*x(w) + 6*p(w).\nAnswer: w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3611, -5576, -7541, -9506, -11471, -13436?\nAnswer: -15401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 4*b**2 - 22*b + 3. Let j be a(7). Let n(m) = m**2 + 9. Let y(t) = -4. Let g(p) = j*n(p) - 9*y(p). Let w(f) = 18*f. What is w(g(k))?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595 + 50*b - 26*b**3 + 25*b**3 - 163.\nAnswer: -b**3 + 50*b + 432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48649, 54792, 60933, 67072, 73209, 79344?\nAnswer: 85477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 4:18 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*r = 7*r + 8, 0 = -x + 4*r. Suppose -x*t + 970 = -4*m + 26, -4*t + m + 956 = 0. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h**2 - 28*h + 46. Let t(s) = -s**2 - 28*s - 25. Let u be t(-27). Let g(y) = y**2 - 6*y + 9. Let i(f) = u*q(f) - 11*g(f). Determine i(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1374 + 1406 = 16*d. Suppose 4*n - 6 = 10. Suppose f + 2 = n. Solve -2*s = -r + 13, d*s + 2*r - 12 = -f*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-3 - 4)) + -1 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*i**3 + 32356*i**2 + 223108*i + 9240.\nAnswer: 4*(i + 7)*(i + 330)*(24*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = 0. Put 5, j, -1 in increasing order.\nAnswer: -1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/12 - 20*f + 2. Let p be 60\/16 + 2\/8. Let m(g) = -4*g + p*g + 2*g**2. Give m(h(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -221?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 4. Suppose 22 = 9*v + 4. Let i(u) = u**2 + 12*u - 26. Let b be i(v). Determine s(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3816)\/(-84))\/(1\/(-7)). Let x = -252 - v. What is the highest common factor of x and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/564928 and -19\/257244.\nAnswer: 28811328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(-1*sqrt(343))**2 + 3.\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-12)*(-9)\/(-6). Let c = 5 + o. Solve 2*v + 0*i - 16 = -5*i, c = -3*v - 5*i + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2507.\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 933\/2 + -2312\/5. What is the common denominator of 294\/35 + (-2)\/5 + 1909\/(-460) and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2*j**3 + 22*i**2*j**2 + 98*j**3 + 2*j**2 wrt i?\nAnswer: -2*i*j**3 + 44*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 - 190. What is the highest common divisor of 27 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22698321 divided by 3.\nAnswer: -7566107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 smaller than 364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*l - 24828, l + 3*f = -5692 - 6720. What is l rounded to the nearest 100?\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56.5 + 5.5. Let z = -62 + i. Are z and -0.19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-3\/2)\/r)\/r)*r\/(r\/r**(3\/2)))\/(r**0)**(1\/5)*((r\/((r*r*r**(2\/15)*r)\/r*r))\/((r*r**(-1)*r)\/r*r))**24 assuming r is positive.\nAnswer: r**(-346\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 1. Let s(r) = 108*r**2 - 3*r - 2. Give -s(y) - 2*w(y).\nAnswer: -104*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 552.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1. Suppose d = -2*d + 24. Let c(y) = 3*y - 25. Let s be c(d). Let x(r) = r - 3. Let h(p) = s*x(p) + 3*q(p). Let m(z) = -4*z**2. Calculate h(m(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w + 22. Let t(c) = -c + 8. Suppose 21 = 3*a + 3*n, 7*n - 13 = -3*a + 2*n. Let s(j) = a*t(j) - 4*o(j). Let d(p) = -242*p**2. Calculate s(d(k)).\nAnswer: -242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001584 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 10 = 1. Let w be 0 - -1 - (-2 - j). Suppose -w*u - 6*u = -32. Is u greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/3*1\/(-2)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 2*d**2 - 14*d + 5. Let v be o(-5). Solve v = 2*f - 4*w + 2, 15 - 1 = -4*f + 3*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 5, 19, 37, 59?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.052 times 1.2\nAnswer: -0.0624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 2108, 6999, 16506, 32165, 55512, 88083, 131414?\nAnswer: 187041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1316*v + 1269*v - 3899*v + 1294*v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(208))\/sqrt(4) + (sqrt(1300) - (sqrt(1300) - (sqrt(1300) + -2))**2 - sqrt(78)\/sqrt(6)*-4).\nAnswer: -4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2956756.75 to the nearest 100.\nAnswer: -2956800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -106*v**2 + 7*v - 1. Let p(i) = 52*i**2 - 3*i. Calculate -5*p(n) - 2*q(n).\nAnswer: -48*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1\/6, 0.2, 1\/10, -1\/2 in decreasing order.\nAnswer: 0.2, 1\/10, -1\/6, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -5, 1\/4, -1\/1454, -27 in descending order.\nAnswer: 1\/4, -1\/1454, -2, -3, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 8 + 48. Solve 0*v = 4*v - 3*t - a, v + 15 = 5*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 1. Let l(r) = 3*r + 2. Let p(g) = -g**2 - 13*g - 27. Let u be p(-10). Determine u*l(a) + 5*t(a).\nAnswer: 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44385*x**4 + 108994*x**2.\nAnswer: -1065240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-1)\/(-2) + 434\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5117.\nAnswer: 4\/5117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1962, 4039, 6090, 8115, 10114?\n\"Answer: -13*t**2 + 2116*t - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, k: 2, e: 2}. Give prob of picking 1 k and 1 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = -15. Solve 4*q = 2*x - 4, -q - v*x = -2*q - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.2291 to 0 decimal places.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 60 = 2*y. Let w = 20 + y. Suppose 0 = 4*d - 0 - w. Solve 4 = -z + d*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 11:25 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 18*c = 1215. Which is smaller: 242 or c?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -129.59 * 69.\nAnswer: -8941.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 945405319?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -189584, -379067, -568536, -757985, -947408, -1136799, -1326152, -1515461?\n\"Answer: j**3 + j**2 - 189493*j - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v + 3*v)*(-73*v - 182*v - 8*v)*((2 - 2 - 2)*(7 + 5 - 13) - 2 - 4 + 2).\nAnswer: 526*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13718\/(-1444)*(-1 - 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h - 3. Let n(f) = f. Let q(b) = -i(b) + 6*n(b). Let t be q(7). What is the remainder when 51 is divided by (-2)\/((-12)\/(-27))*t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 15) to base 13.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 344509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 780 and 2860.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 - 18 + 7)*(2 - 2 + 2*x) to the form p*x + y and give p.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -163, -148, -131, -112, -91, -68, -43?\n\"Answer: p**2 + 12*p - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22848 and 176.\nAnswer: 251328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 80 = -2*c. Suppose 0*s + s + 162 = 164. Suppose -6*a + c = -s*a. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 3*n + 0*n**3 - 10*n + 0*n**3.\nAnswer: -2*n**3 - 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 24*n**3 - 2 + 1.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34920 and 5256360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/(i\/(i\/(i*i\/(i\/(i*i**(1\/14)*i))*i))))**(-8\/13)\/(i**6\/i**(-2\/11)*(i\/(i*i**(2\/3)))**(2\/3)) assuming i is positive.\nAnswer: i**(-6940\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 14\/4536703 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -994*j + 1855*j + 347*j + 1421*j + 2798*j.\nAnswer: 5427*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -184*u + 1312. Let m be y(4). Calculate the highest common divisor of m and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22960 + -22960.0049698. Round i to 5 dps.\nAnswer: -0.00497","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1297*p - 3941 + 3941 in the form f*p + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1325 + -1547051?\nAnswer: -1545524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/102*8\/(64\/(-66)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 10*a**2 - 30*a - 1. What is the remainder when n(-10) is divided by 63?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 35. Let m be (3\/(-2))\/((-12)\/i). Solve 4*t + m*a = 5*a - 3, 5*t - 2*a + 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 14) in base 7?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90, -338, -716, -1224, -1862, -2630?\n\"Answer: -65*k**2 - 53*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 189.7 - 1.\nAnswer: 188.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-2\/7)))**(-5\/3)*h\/(h*h**6)*((h\/(h\/h**(-1\/5)))\/h)\/h)\/(h**(-1)\/h*h*h**2*h**(-2\/19)\/(h\/(h*(h\/h**(2\/13)*h)\/h))) assuming h is positive.\nAnswer: h**(-270167\/25935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6127149267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b2 + -28e113?\nAnswer: -28e1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311 by -1.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5564340 is divided by 570.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 - n + 8. Let k be l(0). Let z(f) = -9*f**2 + 9*f + 7. Let r(g) = -14*g**2 + 14*g + 11. Calculate k*z(s) - 5*r(s).\nAnswer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0)*-7 + (-6)\/2. Solve 0*g + 25 = -5*g, 0 = y*j + 2*g - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**4\/12 - 2*r**3\/3 - 2*r**2. Let t be z(-3). Suppose 424 + 78 = t*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7160 divided by -3580\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46579*i**3*w**3*x**2 + i**2*w**3 - 54*i**2*w**2*x**2 - 4*i**2*x**2 wrt i.\nAnswer: 279474*w**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 9 = y - 5, -5*y + v + 37 = 0. Solve -7*n = -y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuao.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 + 763\/3. Which is the closest to 0.2? (a) t (b) -0.5 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -11. Suppose a*z = z. Solve 2*k = -z - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1213*t**2 - 374*t**2 + 11*t - 11*t + 1042*t**2.\nAnswer: 1881*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6520?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2885 divide 712586345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 4*a**6\/15 - a**5 + 2*a**4\/3 + a. Factor w(n).\nAnswer: 4*n**2*(n - 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 0, 42 = 10*h - 7*h + 4*n. Let a be (-1*h\/49)\/((-3)\/42). Factor 2\/9*x**2 + 0 - 2\/9*x**5 + 0*x + 2\/3*x**a - 2\/3*x**3.\nAnswer: -2*x**2*(x - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - w + 8, 8*w - 5*w = -12. Find the first derivative of 8*k**4 + 3*k**4 - 88*k**j - 106 - 13*k**4 wrt k.\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 251*i**2 + 59*i - 6. Let t(m) = 5*m - 1. Let y(s) = g(s) - 3*t(s). What is the second derivative of y(z) wrt z?\nAnswer: 502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-128)\/24 + -2)\/(4\/(-18)). Suppose 5*a = 4*s - 23, 14*s = 9*s + 2*a + t. Solve s*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 < 642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136.6 + -124. Let h = y + -12.6000101. Round h to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49519677 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0584 - 0.1284. Which is smaller: -0.045 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 7 - (-5 + (-10 - -6 - 8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 17390*g - 2*g**4 - 17390*g - 6 + 49*g**3 + 11*g**2 + 0 to x*g**2 + c*g**3 + o + p*g + z*g**4 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448 - 354 - 765 + 2*c - 425 + 334.\nAnswer: 2*c - 1658","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1 + sqrt(847) + 0 + 1 + 5 + 1 + -3 + 1)**2.\nAnswer: 176*sqrt(7) + 3404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -5.8, -717?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0386 - 0.0614. Which is the closest to 2\/5? (a) -1 (b) 2\/9 (c) t (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u**13*u*u)\/u)\/u*(u\/(u\/((u*u**(-6\/13)\/u)\/u)*u)*u)\/u)**(-45) assuming u is positive.\nAnswer: u**(-7335\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -34. Let l(v) = -r*v + 0*v**2 - v**2 + 1 + 2 + 1. What is l(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -x - 187 + 165, -2*x + 5*n + 31 = 0. Solve 23 = x*h + 2*w, -2*h - 18*w + 20*w + 2 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2212 - -103032?\nAnswer: 100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*o = 14 - 59, o = -5. Solve y - 2*y - 22 = g*w, 4*y + 8 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -78. Let d = c + -21. Suppose -10 = -j + d. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/38 - 6\/19. Let j = -5.2 - -0.2. Let x = j - -5.4. Which is the closest to r? (a) -1\/3 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q*q*q*q*q**(-6))\/((q*(q\/q**(-1\/3))\/q)\/(q\/(q**(-2\/7)\/q)))*(((q\/q**0)\/q)**(9\/2))**(-1) assuming q is positive.\nAnswer: q**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r - 1. Let h(p) = -6*p - 1. Let d(y) = 3*a(y) - 3*h(y). Let o(x) = 3 - 4*x + 11*x - 3. Give d(o(f)).\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.447 from 86865739.\nAnswer: 86865740.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 5*w**2 + 8*w. Let i(q) = 6*q**2 + 9*q. What is 5*i(x) - 6*t(x)?\nAnswer: 6*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 2. Let v be -8 - -4 - 18\/(-2). Suppose -5*g + 3*w = -0*w + v, -15 = -3*w. Give j(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141342955 rounded to the nearest one hundred thousand?\nAnswer: -141300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fddd - 1?\nAnswer: -fdde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199557 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-313)\/(-7512))\/((-2)\/(-6))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/426 and -71\/12.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 9*l - 29*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*x + 62 = 2*x, 3*q - 63 = -3*x. Calculate the remainder when 159 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 8, -g + 2*h - 6*h + 105 = 0. Let z = -95 + g. Calculate the highest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 110 - 78 = -7*n, -31 = 5*u + n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1050193*x + 7351345. Give m(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2079 + 2078.8. What is the second smallest value in -3\/2, -1, z, 2\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.4 (c) 0.81 (d) 1193\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-6) - (6 + -4). Let h(f) = -4*f + 2. Let p be h(5). Let j be 28\/p*(-36)\/42. What is the smallest value in j, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvnvdvudnuvnudvvvu. Give prob of picking 1 u and 1 v.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 3*x - 145 = -127, 3*g = -3*x - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*k + 3 + 26, 5*k = -4*x + 41. Let a be 16\/6*(-30)\/(-8). What is the derivative of a + 301*w - 301*w + w**x wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-26)\/(-169) - (-231)\/234?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*t**2 + 113*t**2 - 39*t**2)*(-5 - 39 - 2 - 3) in the form p*t**2 + u*t + v and give p.\nAnswer: -4704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (147\/105)\/(7\/2). Sort 0.5, m, -1, 3\/5 in ascending order.\nAnswer: -1, m, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02373 plus -1.48?\nAnswer: -1.45627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 9*u**2 + 383*u + 1126. Determine c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2274221 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/7 < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607453.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5 + -1.5. Let t = -467\/1166 + 14\/53. Which is the smallest value? (a) t (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.887 - 0.113. Which is smaller: 2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2 + 40*u + 22. Give o(12).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*c**5*z + 4*c**5 - c**2 + 407*z + 1 wrt c?\nAnswer: 1560*c**2*z + 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-5 - -18) - (1 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1771665624 - 4?\nAnswer: -1771665630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19028 is divided by 573?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 53 = -b, 0*c + 5*c = -5. Let p = -45 - b. Suppose p*y - 8*y = -140. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t + 6*t + 2*t.\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74297 divided by 74297?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*-2 - 0. Let s(q) be the first derivative of q**2\/2 + 2*q - 2. Let l(g) = -1. Let k(p) = w*l(p) - s(p). Let m(o) = -3*o**2. Calculate m(k(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 + 0*f**3 - 2*f**3 + (0*f**3 - 5*f**3 + 4*f**3)*(-11 + 27 - 32).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 5*l + 4. Suppose -3 = -3*x, 2*i = x - 5*x - 22. Let z = 9 + i. Let y be a(z). Which is bigger: -1\/7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7818 is divided by 2301?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170280)\/(-183008) + (-2)\/7 + (-3)\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 - -9) + (-1 - 1). What is the third smallest value in -4, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17340*j**3 - 45*j + 2150276?\nAnswer: -52020*j**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 48. Let f(z) = 3*z**3 - 22*z**2 + 24*z + 4. Let c be f(6). Solve -5*g + 2*g - c*h = -28, g + a = 5*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.328339 millilitres to litres.\nAnswer: 0.006328339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9 - 11 + 20 - 11 - 6*s. Let b be z(-10). Let r = b - 1. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/32)\/y)**(-31) assuming y is positive.\nAnswer: y**(961\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 2. Let o be v(-1). Let u = o - 1. Let a = -2.9249 - 0.0751. What is the biggest value in a, -4, u, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -57166*n**2 + 2828*n - 1414. Let s(h) = 202*h**2 - 10*h + 5. What is -5*m(f) - 1414*s(f)?\nAnswer: 202*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h)**(-2\/91)\/(h**13*(h*h\/(h*h**(-22))*h)\/h*h) assuming h is positive.\nAnswer: h**(-3357\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 = -5*s, s + 2 = 5*z - 1. What is the third derivative of -71*d**4 - d**s - 4*d + 68*d**4 + 4*d wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8506319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6725162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.3128kg to grams.\nAnswer: 597312.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 142, 152, 166, 184, 206, 232?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6367284 divided by -176869?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32031452 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 274*r**2 + 326*r - 3568. Determine p(136).\nAnswer: 3776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1111110110000000000?\nAnswer: -1111110110000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.288 minus 447635.25?\nAnswer: -447635.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(-28)*(-7 + 0). Put k, -5, 5, 2 in decreasing order.\nAnswer: k, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336854.\nAnswer: 2, 7, 24061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 715985 - 342232. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/3 - 9*j**3 + j**2 + 83*j\/3 + 18 = 0. What is j?\nAnswer: -27, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 16 - 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-30)\/(v**(-9\/7)\/(v\/((v\/v**(-7))\/v*v))) assuming v is positive.\nAnswer: v**(-460\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + 1*sqrt(648) + sqrt(648) - sqrt(18))\/(1*sqrt(9)*6) - (sqrt(32)*5 - (sqrt(2) + (sqrt(2) - (-3 + (-1 + sqrt(2))**2))))*5.\nAnswer: -463*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 92136.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in -0.5, -21, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -4*2 + 2. Suppose -2*h + 7 = -2*g - 5, h - 6 = 4*g. Let w = x + h. Solve -3*n + v - 14 = 0, 0*n + 3*n = w*v - 13 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose x - 1 = i. Let f = 12 + x. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o - 89*o**2 - 23\/30*o**5 + 143\/12*o**4 - 121\/3*o**3 + 0 + 1\/60*o**6. Suppose s(g) = 0. What is g?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.9 + 28. Let m = f + 3.2. What is m rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(2 + 24*w**2 - 5 - 16*w**2).\nAnswer: -8*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -310\/11 in descending order.\nAnswer: 3, -5, -310\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 32\/(-56)*(-532)\/8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 1:36 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.44 - 0.06. Let d = a + 7. Sort d, 0, -1\/8 in decreasing order.\nAnswer: d, 0, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j*o**6 + 565*j*o**4 + 3*j*o - j - o**2 wrt o.\nAnswer: -120*j*o**3 + 13560*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/5 - (-12 + -1) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 12) + (-4 - -11) - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 2719. Let u(j) = 26*j**2 + 5. Give x(u(k)).\nAnswer: 26*k**2 + 2724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 60\/18*18\/(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24 and 120539.\nAnswer: 2892936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1022*t + 766 wrt t.\nAnswer: -1022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3729 and 363920568?\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -62*n**5\/13 + 12*n**4\/13 + 930*n**3\/13 + 440*n**2\/13 - 1608*n\/13 + 288\/13 = 0.\nAnswer: -3, -2, 6\/31, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2843012 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (338*q**3 - 338*q**3 - 24*q**4)*(3 - 1 - 3)*(2 + 5 + 1) to x + i*q + a*q**3 + v*q**4 + b*q**2 and give v.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/802 and -8\/19.\nAnswer: 15238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/75 + (-225)\/(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3\/15 + 98*u**2\/5 - 21128*u\/15 - 25088 = 0.\nAnswer: -196, -15, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - 1.96. Let k = -5 - -4. Let p = k - -0.8. What is the third smallest value in p, -0.3, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 50\/(-18) + 20 + (-692)\/36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 85559\/3268 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**7\/280 - 3*q**5\/40 - 4*q**3\/3 + 4. Let j(r) be the third derivative of v(r). What is the second derivative of j(l) wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d - 24 = -4*p, 4*p - 2*d - 16 = 0. Let j be ((-339)\/2)\/(3 + 15\/(-4)). Suppose 5*g = 3*m + j, -p*g + 79 = -2*m - 13. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/4)\/(9\/(-216)). Let y be (12448\/(-6))\/(30\/i). Let t = 1236 + y. Calculate the common denominator of -34\/5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -20*d + 12 + d**2 + 14*d - 2*d**2. Let b be r(-7). Solve 0*m + u = 3*m - 1, -u + 1 = -b*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-7\/3)\/l*l*l)\/l**(-30) assuming l is positive.\nAnswer: l**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -213 - -33.7811\nAnswer: -179.2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 10. Let b = 90 - 99. Give z(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3691, -3897, -4079, -4231, -4347, -4421, -4447, -4419?\n\"Answer: f**3 + 6*f**2 - 231*f - 3467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 355332743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 - -227. Suppose -3*n - 2*p = -6*p - 74, p = -4*n + t. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*g + 2*x - 79, -3*g + 73 = -4*x. Let o = 87 - -122. Let y = o + 21. Calculate the greatest common factor of g and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1056949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 7, z: 2, b: 4}. Give prob of picking 2 z and 1 e.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20417*v - 4*h = 20424*v + 9, 5*v - 25 = 5*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 14172?\nAnswer: -14172.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4922 and 14.\nAnswer: 34454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100101001110011 (base 2) in base 12?\nAnswer: 40b57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p - 21*p - 5*p + 5*p to the form w*p + j and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22134 times 60\nAnswer: -1328040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4909, 9744, 14557, 19336, 24069, 28744?\n\"Answer: -2*z**3 + z**2 + 4846*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -2\/23, -4, 34, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/4*(-28)\/42. Let z(x) = -6*x + 4. Let c(k) be the first derivative of -7*k**2\/2 + 5*k + 1. Let s(y) = -3*y + 1. Let d be s(-1). Give d*c(u) + m*z(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1973*x**3 - 340433*x + 340433*x.\nAnswer: -1973*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 148887043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1587 = 10*z - 6987. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 194378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 72320 - 3*c - 72320 + 0*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 8*m + 2. Let f be r(8). Suppose 4*z + f*k = 148, 4*z + 0*z - k - 142 = 0. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*((sqrt(210) + (sqrt(210) - -6*(sqrt(210) - 1*sqrt(210))))\/sqrt(5))\/(-1*-6*sqrt(24)).\nAnswer: -5*sqrt(7)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 4*p - 8. List the prime factors of x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38245 from -0.3.\nAnswer: 38244.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 8650\/2460 + (56\/16 - 1).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 89, -5, -238, -176 in descending order.\nAnswer: 89, 0, -5, -176, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1784 - 1773. Which is the nearest to 2? (a) -0.1 (b) o (c) 0.4 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w - 7. Let n be j(3). Put n, 0, -6 in increasing order.\nAnswer: -6, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 268366920.\nAnswer: -268366920.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.1 + 20. Sort 3\/8, j, -2\/3.\nAnswer: -2\/3, j, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0551, 37, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*j + 4*b**3*r**2 + 7*b**3 - 29*b**2*j*r**2 - b**2*r**2 wrt j.\nAnswer: b**3 - 29*b**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32431241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let m(t) be the second derivative of 1\/4*t**4 + 0*t**2 + 0*t**3 + 0 - t. Determine b(m(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/50 - (-1)\/5. Solve 3*j + 7 = -2*d, 0*j - 2*j + d - 7 = b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156878.\nAnswer: 2, 78439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (10 - (-1 + 3)) + -16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 79. Let o(j) be the third derivative of j**4\/24 + 86*j**2. Calculate o(b(d)).\nAnswer: -d**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117937 is divided by 6360.\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 399*w. Let r(a) = a**2. Calculate s(r(d)).\nAnswer: -2*d**4 - 399*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -6. Suppose 4*n - n + m*z + 8 = 0, 0 = -n - 2*z - 6. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, m: 3, l: 1, z: 6}. Give prob of picking 1 t and 1 z.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 7*i + 4*s + 18, 5*i + 5*s - 15 = 0. Let m(r) = r**3 + 3*r**2 + 20*r. What are the prime factors of m(i)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -j - 12, -d + 7 = -3*j - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/3 + 712*h**4\/3 - 18404*h**3 + 504288*h**2 - 3896262*h - 16743672 = 0.\nAnswer: -3, 27, 44, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5}. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 291, -1, -2, -3, 2.\nAnswer: -12, -3, -2, -1, 2, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 25, 38, 57, 82, 113, 150?\n\"Answer: 3*o**2 - 2*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-32)*2\/1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.03112297 - -3\nAnswer: 3.03112297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(36)\/sqrt(12) + (sqrt(192) + 3*sqrt(192) - sqrt(3))).\nAnswer: -87*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2 + 7*h + 3. Let r be o(2). Are 6\/979 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81\/5*l + 3\/5*l**2 + 30.\nAnswer: 3*(l + 2)*(l + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -69 + -264188?\nAnswer: -264235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1777.9 + -1772.9. What is the closest to -2 in -16, -5\/8, 3, w?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/10 of a century?\nAnswer: 2040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 311*g - 1 - 313*g + 0 + 2*g**4 + 2*g**2 to v + r*g**2 + f*g**4 + c*g**3 + l*g and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*-1*(-7)\/98)\/(30\/21)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d**2 - 1. Let p be 0\/(-3) - (0 + 2). Let h be (-1)\/(-3 - p - 0). Is a(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b = 2*g + 36, -3*b + 155*g - 159*g = 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 6 + 1 - 2*h + (-58 + 56 - 28)*(1 + 1 + 0)*(4 - 2*h - 4).\nAnswer: 118*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -5057, -5068, -5079, -5090, -5101, -5112?\nAnswer: -5123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1309*o - 18207 - 16073 = -241*o + 24460 for o.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.029 + 0.029. What is the nearest to c in 2\/7, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l**2 + l + 1. Let k(r) = 329*r**2 - 28*r - 28. Let p(d) = -k(d) - 28*v(d). Let q(n) = 7*n**2 - 3*n. Determine q(p(c)).\nAnswer: 343*c**4 - 21*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -72, 278, -3, 18 in descending order.\nAnswer: 278, 18, -3, -5, -8, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*x**5 + 5*x**4 - 1450*x**3 - 119832*x**2 - 2*x - 8 wrt x.\nAnswer: -4320*x**2 + 120*x - 8700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/18)\/(16440\/6576).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13031 + 13079. What is the least common multiple of b and 768?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - (-12 + 0\/(-4)). Suppose -q - a = -11. Solve 3*i - 5*w + 21 = i, -5*w + 33 = q*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + ((-72)\/3)\/(-2). Let l(o) be the first derivative of o**3\/3 - 5*o**2 - 16*o + 135. Calculate l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (599\/5 + 1\/5)*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2550 and 2100345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 3642\nAnswer: -10\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (193 + -186)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 - 2.4. Let w = -2 + 2. Which is the second biggest value? (a) t (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605) + 1 + sqrt(605) + 1 - -2*sqrt(605)*-6 - (-1*sqrt(605)*-1 + -3)) + 5)**2.\nAnswer: -2200*sqrt(5) + 60600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/415 and 10\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 42 - 6. Suppose -j + 0*s + 3*s = -46, -2*j - 3*s = -74. Let z = -37 + j. Sort c, -5, 4, z in descending order.\nAnswer: 4, z, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2578 (base 11) in base 7?\nAnswer: -12526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 14*b + 2. Let z be a(15). Solve 9*i - 24 = z*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 79, -0.5, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 14*z + 9. Suppose 2 - 5 = -o. Let t(m) = -15*m - 9. Let a(f) = o*l(f) + 2*t(f). Find q such that a(q) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:26 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*z - 3 = -3*f - 512*z, -5*f = 3*z - 34 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*x**2 - 310*x**2 - 287*x + 289*x + (x + 0*x - 2*x)*(-1 + 1 - 2*x) + 1 - x**2 - 1 as n*x + u + q*x**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = x - 3*x. Is x\/(-3) + (-10)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.95 and 4.\nAnswer: -91.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 240?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + m - 13 = -0*m, -4 = -4*m. Let h = g - -14. What is the lowest common multiple of (-5)\/(10\/(-8)) - -2 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 159464*q - 637872.\nAnswer: (q - 4)*(q + 159468)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760\/6 - (-1190)\/510 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -3*b**5\/40 - 423*b**4\/8 - 44943*b**3\/4 - 133563*b**2\/4 - 471*b + 2. Suppose d(o) = 0. What is o?\nAnswer: -211, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13185 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r**4 - 3*r**3 + 245122*r**2 - 7384*r - 1331 wrt r?\nAnswer: -48*r**2 - 18*r + 490244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82 + 139 + 78)*((-2 + 2 + l)*(5 + l - 5) - l + 2*l**2 + l + 8*l - 19*l**2 - 8*l) - l**2 + l**2 + l**2 to the form w + q*l**2 + k*l and give q.\nAnswer: -2159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from jjjbjjjjjbjjjbj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 2*f**4 + 2*f + (4*f**2 - 22*f**2 + 6*f**2 + 2*f - 2)*(-f + f + 3*f**2) to the form w*f + c + m*f**3 + z*f**4 + k*f**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133 - -136. Let o = -2 + 2. Let d(v) = -v + 3. Let y be d(o). Solve r*a = -6 - y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhzp when four letters picked without replacement from {j: 2, h: 1, p: 2, y: 5, z: 5, d: 2}?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + 0 + 142 + -138 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -788 times -5?\nAnswer: 3940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 776 and 2696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8677119*b**6 + 4*b**2 - 471*b + 427 wrt b?\nAnswer: 1041254280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29\/32 - 1581\/32. Find the common denominator of z and -95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-10)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 9 = -4*p + 3*z, 0 = -z + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 122 and -2.1.\nAnswer: -256.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h = 7432. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 9, 2*w + 6 = -w - 5*v. Suppose -25 = -w*q - 2*q. Suppose 792 = 83*f + 49*f. Put f, -2, q in increasing order.\nAnswer: -2, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(3584\/140)*48\/(-50)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 0.1, 28\/9, -0.1, 69, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 36*h + 1349. Determine m(-38).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -14 - (8 + -6 - 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5762047589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f. Let w be (12\/(-36))\/(10\/6). Is f at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4 - 30*v**3 - 148*v**2 - 264*v - 144.\nAnswer: -2*(v + 1)*(v + 2)*(v + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62888012?\nAnswer: 2, 11, 37, 38629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 7*b - 2. Let q(x) = -207*x + 76*x + 81*x + 15. Give -15*a(p) - 2*q(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39)\/390)\/(2\/5). Sort -0.2, h, -1, 42 in descending order.\nAnswer: 42, -0.2, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 + 14 - (0 - -2). Let t = -2 + h. Suppose -20 = -2*m - t*m. Which is the smallest value? (a) m (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-30)\/(-9) + -3)*-1. Suppose a = -3*g - 3*t, t + 17 = 5*g - g. Solve 0 = d - g*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**7\/21 + 2*f**6\/45 + 4*f - 4. Let x(v) be the first derivative of h(v). Factor x(z).\nAnswer: -2*z**4*(3*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21945 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 10*g**2 + 9*g. Let u be q(6). Suppose 0 = -3*a - 44 - 82. Let b be 6\/u - a\/(-9). Put b, 7, -4 in ascending order.\nAnswer: b, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2462, 19908, 67326, 159710, 312054?\n\"Answer: 2499*w**3 - 8*w**2 - 23*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7))**(3\/2))**(-2\/9) assuming y is positive.\nAnswer: y**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 774757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -73.51.\nAnswer: -74.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260) + -5*sqrt(260) + sqrt(260))\/sqrt(5))\/sqrt(4).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -39*n**2 + 10. Let r(q) = 41*q**2 + q - 8. Calculate -4*p(l) - 5*r(l).\nAnswer: -49*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 201009 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s. Let l(t) = 149690*t**2 + 2. What is o(l(a))?\nAnswer: 1047830*a**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h - c - 8422 = 0, -c = -5*h - 8418. List the prime factors of h\/(-10) - 20\/50.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111686915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34964039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 18. Let q be z(-9). Solve q = 2*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2521*l**3 + 3375*l**3 - 3332*l**3.\nAnswer: -2478*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 476297236 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1821292476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 94*f + 5. Let l(j) = -31*j - 1. Calculate -7*l(v) - 2*x(v).\nAnswer: 29*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1465, -1209, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2 - b**2 + b + 2. Let w(j) = 2*j**2 - 3*j + 1. Suppose -6*o = -1 - 5. What is o*r(k) + w(k)?\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1987 + -117225\/59. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616948?\nAnswer: 2, 89, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from gggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b. Let l(n) = 2*n**2 - 7*n - 4. Let q(j) = -l(j) + v(j). Let p be q(6). Solve 4*x + 2*i - 1 = 1, 5*x + 2*i = p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7948, 8467, 9326, 10519, 12040, 13883, 16042, 18511?\nAnswer: 21284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7642 (base 12) in base 9?\nAnswer: 18755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*h - 4. Which is the nearest to -2? (a) 1\/2 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -14*j - 20. Give i(-10).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 200723 - 1?\nAnswer: 200722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from {a: 6, q: 13}.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14705*y + 14823*y - 5782 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -562631 or -562651?\nAnswer: -562631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = 0, -8 - 2 = 2*w + 2*u. Let s(f) = -f**3 - 7*f**2 - 8*f - 7. What is s(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23096 + 39137. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26835*m - 2350813 + 2350813 to the form b + s*m and give s.\nAnswer: -26835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 8 = 3*q - 1, 5 = q. Suppose k*m - 4*m = 0. Let y be (3 + (-12)\/8)*2. Solve -f - 17 = 2*o - 6*o, y*f + o - 1 = m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 15 = 0, m + 5*a = 2*m - 213. Is 228 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d**(-6)\/d)\/d*d))\/(d*d*d*(d\/(d**(-3\/4)*d))\/d*d*d))**(-28) assuming d is positive.\nAnswer: d**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 11264?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-4) + (-191)\/4. Let a = b - -5. Let l = a - -107. What is the greatest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(20\/120). Let m be 2 + 2\/2 + t. Solve m = -b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*c - r = 105*c + 10, 2*c - 25 = 3*r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.1 and -0.023165?\nAnswer: 0.1644715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x. Suppose 2 - 11 = -3*s. Suppose 4*d - 28 = -2*y, s*y = y + 5*d + 37. Calculate the remainder when y is divided by b(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-49 - 41 + 91)*(2*d + d + 0*d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s**2 - 3*s + 3. Let t(r) = r**2 - 7*r + 6. Let f be t(6). Suppose 5*o = -f*o + 10. What is the units digit of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 12. Let d = -6 + 12. Let w be q(d). Let u(j) = -3*j**3 - 1575*j**2 - 3148*j - 11. Let n be u(-2). Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 7260 = 7677. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.29 - 0.0551777515.\nAnswer: -1.3451777515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3 + 4*h**2 - 14*h + 8 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 8*p + p)*(259 + 87*p**2 - 259) - 3*p**3 - p**3 + 2*p**3 to the form z*p**3 + g*p + n + i*p**2 and give z.\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3194 - a8?\nAnswer: -3280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i = -5*v + 14, -i - 3*v + 7 = 0. Which is greater: i or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiwiuiiisiiiuiws. What is prob of picking 1 w and 1 i?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 - f - 2. Let m = 1 - 1. Let y(g) be the second derivative of m + 1\/3*g**3 - 1\/2*g**4 + 3\/2*g**2 + g. Give 4*s(h) + 3*y(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 16, d: 3}. Give prob of sequence kd.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/6)\/((-2)\/(-18)). Suppose 6*h = 3*h. Sort h, s, -3 in increasing order.\nAnswer: -3, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/11)\/(m*m\/(m**24*m)) assuming m is positive.\nAnswer: m**(257\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*p + 77. Suppose -l + p = -m - 3*l, 4*m + 179 = 5*l. Let q = -75 - m. What is the common denominator of 8\/3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:52 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1128 (base 9) to base 10\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42342 divided by 14114?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.695 to the nearest integer.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46126\/5 + -9151. Let j = b - 74. Factor j*p**5 + 0 + 1\/5*p - 2\/5*p**3 + 0*p**4 + 0*p**2.\nAnswer: p*(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 207 and 475620059?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 4*s + 3. Let r be p(4). Factor -7*g + 8*g - g**3 - 2*g**3 + 2*g**r.\nAnswer: -g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -71, -148, -253, -386, -547?\n\"Answer: -14*k**2 - 7*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-30) + 28\/(-21). What is the nearest to 4 in 2\/3, 2, -0.5, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697 and 7157?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1488\/(-1116))\/((-2)\/15)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (49\/((-29988)\/(-884)))\/((-5)\/(-225))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 23*x**2 + 5*x + 2. Let i(b) = -b**3 - 17*b**2 - 5*b - 3. Let r(t) = 4*i(t) + 3*z(t). Give r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 5. What is the third derivative of 2*h**2 - y*h**2 + 0*h**3 + 4*h**3 wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59429 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 8*n**2 + n + 10. Let u be z(-8). Let j be ((-18)\/(-4) - -3)*u. Solve -3*f + 3 - j = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 2 + sqrt(1573))*5.\nAnswer: 10 + 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5142? (a) -22 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.191 times 0.5?\nAnswer: 7.5955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from aeikoo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let f be (-3)\/(2 + -1) + (-1)\/(-1). Let b(a) = -4*a - 9. Let w be b(f). Let p(z) = -10*z - 2. Give w*p(h) + 12*c(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -55. Let n(o) = o**3 + 4*o**2 + 2*o - 1. Let b be n(-3). Let k(p) = -p**2 + b + 4 - 2*p + 9*p. Determine k(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*b**2*j + a*b**2*q**2 - 18*a*j*q - b**2*j + b**2*q**2 - 2*b*j*q**2 wrt a?\nAnswer: b**2*j + b**2*q**2 - 18*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401328102 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 119, 0, 4 in descending order.\nAnswer: 119, 4, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1001, -888, -775, -662, -549?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14355 and -6174.\nAnswer: -88627770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351753412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a - 21*a - 108 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 7. What is the remainder when z(15) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 5. Let q = -30 + 36. Solve 4*z - q = -v for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 8*g - 26. Let b = g - 3. Find the second derivative of 5*c**3 - 26*c**3 + 21*c + b*c**3 wrt c.\nAnswer: -66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {z: 4, c: 1, d: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 2\/5 (c) -1.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/127 and 735\/(-1375)*-5*(-3)\/9?\nAnswer: 6985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438 - 437.99999409. What is n rounded to 7 dps?\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*g = 8, 5*x - 4*g = -0*g - 1. Suppose 257 = x*o - 787. Suppose -o = -2*z - 2*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32543436 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325590, -325571, -325554, -325539, -325526, -325515?\nAnswer: -325506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3669*k = -3677*k + 1542184. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1066? (a) 3\/4 (b) 0.2 (c) 70\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 9*m**2 + 2*m + 7. Let j be c(-8). Let r = -75 + 80. Calculate the greatest common factor of j and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -910 = 22*c - 24*c - 3*m, -3*c + 1365 = 5*m. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5 - 4*n**4 - 172*n**3 + 340*n**2 - 168*n.\nAnswer: 4*n*(n - 6)*(n - 1)**2*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yep when three letters picked without replacement from {p: 1, y: 5, h: 4, o: 1, e: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.04031 hours in nanoseconds?\nAnswer: 320545116000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqt when three letters picked without replacement from {y: 1, t: 3, e: 2, q: 6, g: 2}?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c. Let w(r) = 4*r. Let d(j) = -9*j. Let y be 5\/(35\/(-2))*-7. Let q be (-27)\/(-2) - 1\/y. Let a(m) = q*w(m) + 6*d(m). What is a(o(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + b - 48. Suppose 14*w = -3*w + 187. Let y be q(w). What is the highest common divisor of 246 and y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 245 + -305. Is a at least -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2286, -3955, -5624, -7293, -8962?\n\"Answer: -1669*q - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -57*b + 742. What is the smallest common multiple of q(8) and 78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 344 = 1598. Is d greater than -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 at most as big as -235\/1549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294258049 by 8.\nAnswer: -294258049\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -152*m - 155. Let g(i) = 240*i + 233. Determine -5*g(f) - 8*u(f).\nAnswer: 16*f + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lggqgnaggnn. What is prob of sequence gqg?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 11*f**2 + 19*f + 24. What is the remainder when 133 is divided by r(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15936 is divided by 115.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-84)\/24 + (-1 - -6). Which is the nearest to -11? (a) 1 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*j - 6361 = 0, -4*h = 34*j - 37*j - 12771. List the prime factors of h.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-936)*90*43\/6020\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 25 + 13 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 52, 111, 170?\n\"Answer: 59*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - t - 21 = 0, -3*t + 8*t = -3*b + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-2 - (6 + 10). Let p = -17 - b. Solve -4*i + p*r - 7 = 0, 2*i + 18 = 5*r - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 25. Let d = z + -8. Let y be (-1)\/(-5) + (-4)\/120. What is the smallest value in d, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 8:49 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3674 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13399443 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 16709.627?\nAnswer: 83548.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2397260930 to the power of 1\/3, to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 14 - (0 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-2)\/(-8)*-6. Let p(g) = -3 + 1 - 2*g - g**n - 2*g**2 + 5 + 1. What is the tens digit of p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27048929 and 18736?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (2 - -30) - 11 - (2 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhhn when four letters picked without replacement from {v: 1, n: 1, g: 1, h: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 b = -20 + 16. Suppose -2*z + 3*r + 1 = -3*z, 3*z = 3*r + 9. Let p(f) = f**2 - f**3 + 2 - 5*f - 5 - 6*f**z. Calculate p(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -146*k + 3967. Give f(48).\nAnswer: -3041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9315 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*l*p**2 + 214638*b**3*p**3 + 108*b**2*l**3*p**3 + b**2*l**2*p**2 + 7745*b*l**3 - 316*l**3*p**2 wrt p?\nAnswer: 1287828*b**3 + 648*b**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3855 is divided by 317.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1384 and -0.06.\nAnswer: -0.008304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqrrqqrlwrwwqrwlbwhr. What is prob of picking 1 q, 1 l, and 1 b?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3*y - y)*(-3 + 1 + 5) + 2*y - 2 + 2 + (0 + 1 + 0)*(2*y - 17*y - 5*y).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107056606?\nAnswer: 2, 131, 317, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, 3, -1 in ascending order.\nAnswer: -23, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092 = 6*n + n. Suppose 0 = 14*h - 8*h - n. Let b = h - -97. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10) - (-3 - (-135)\/(-25)). Solve 50*r - 52*r - k = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -961*k + 239*k - 2829 + 242*k + 244*k + 239*k to h*k + i and give i.\nAnswer: -2829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + (3 - (-5 + 24))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21040 - -21075. Solve z*l + 61 + 114 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1024149 divided by -5\nAnswer: 1024149\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 2*f**2 - f + 389. Let d(h) = h**2 - 2*h - 15. Let k be d(5). Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -30 - ((-1 + 1 - -1) + 9 + -5)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4475 + -24?\nAnswer: -4510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4222.\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, 3\/4, 5, 12831, -0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4 = -k - 0, 0 = 3*a + 3*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-328)\/16*-1*(-80)\/(-5) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/6*3\/1. Suppose 5*h - 354 = -3*l, j*h - h - 291 = -5*l. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 37948 divided by -4\nAnswer: -9487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u**(1\/4)\/u*u)\/u*u*u)**33\/(u**(2\/11)\/u)**36)**(9\/11))**(-35) assuming u is positive.\nAnswer: u**(-1437345\/484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 5. Suppose -2*k + 6 = -4*g, 3*k = -g - 2*k + 15. Let l = p - g. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -13*w**7\/210 - 2*w**3\/3 + 3*w**2. Differentiate q(z) with respect to z.\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77.5 - -234.5. Let i = 311.5 - g. Let d(s) = -10*s**3 - 2*s**2 + 3*s - 2. Let u be d(1). Which is the nearest to -1? (a) i (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 0. Let g(x) = -2*x**2 + 4*x - 3. Let t be g(c). What is the units digit of 5 + -3 + (-18)\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6*w + 68. Let q(c) = 2*c - 23. Let d(o) = 3*f(o) + 8*q(o). Let g be d(10). Put 5, 8, g in increasing order.\nAnswer: g, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a (base 16) to base 15.\nAnswer: -24c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4985080 and 0.5.\nAnswer: -2492540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94515, 90616, 86717, 82818, 78919?\nAnswer: 75020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4344 and -68\/4887?\nAnswer: 39096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 15. Solve -z*q = 5*q - 84 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 8:04 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 63400.73\nAnswer: -19020.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence too when three letters picked without replacement from tttototttto.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 + 8*b - b + 8*b**2 - 4*b. Let z(j) = 2*j**3 + j**2. Let s be z(1). Let q(l) = -4*l**2 - 2*l. Give s*q(r) + 2*o(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p + 138. Suppose 0 = 228*y + 4604 + 640. Determine v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6e (base 16) to base 15.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 4:10 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -256, 4\/7, 5, -0.3.\nAnswer: -256, -0.3, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (616\/(-22))\/((-44)\/11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p + 10. What is n(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) -5 (c) 1.8 (d) 56 (e) 332 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/23, -5\/6, 3, 3\/11, -18 in ascending order.\nAnswer: -18, -5\/6, -1\/23, 3\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucu when three letters picked without replacement from {o: 1, c: 5, u: 6, y: 3}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -4, 0.3, -15 in decreasing order.\nAnswer: 0.3, -2\/15, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8122*a + 50. Let o(k) = 4060*k - 20. What is 5*o(c) + 2*p(c)?\nAnswer: 4056*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-3 + 16 - (-5 + 12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 4*c - g + 4*g, -4*c - 6 = -2*g. Let v be 12 - (-5 - c - -4). Suppose 4*b - 7 - v = 0. Calculate the highest common divisor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21297528.\nAnswer: 2, 3, 7, 42257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8766538347 to five decimal places.\nAnswer: -0.87665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(25\/4)*i**24)\/((i**(-1\/14)\/i)\/i)**(-30) assuming i is positive.\nAnswer: i**(-893\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 681.301 * 3\nAnswer: 2043.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l + 26*l - 929157. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 10*j + 3 - 7*j as f + k*j and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9592719457 to the nearest integer?\nAnswer: 2125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + -43 + 50 + 0 + -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 2242, 7565, 17930, 35017, 60506?\nAnswer: 96077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -6, -14, 0.1.\nAnswer: -91, -14, -6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*p - 114967 = 66713. Suppose 3*t + 0*i - i - 2271 = 0, 4*i + p = 4*t. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 141608506 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 22 - 11)*(5*b**3 + 14*b**3 - 5*b**3)*(-1 + 0 - 2) in the form o*b**3 + q*b + v + w*b**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*i - 7. Let q = 29 - i. Solve 3*j + q - 15 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/495509 and 5\/21660822?\nAnswer: 151625754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from hgqhqqqvvy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38488\/315 + -127\/63. Let d = s - -1261\/10. Find the common denominator of 45\/8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*t = -13 - 61, q + t - 31 = 0. Suppose q = -y - 2*y. Let v be (-2)\/3 + (-45906)\/y. What is v rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i - 200 + 200. Let o be 21\/(-6) + (-3)\/(-2). Let g be r(o). Solve -4*a - 2 = g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6837 is divided by 132.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1483, -3003, -4571, -6181, -7827, -9503, -11203?\n\"Answer: i**3 - 30*i**2 - 1437*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 428*b + 6 + 1762*b - 1 - 6 to n + x*b and give x.\nAnswer: 1334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -858\/7 or -124?\nAnswer: -858\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1237 or 1216?\nAnswer: 1237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + 4*o - k, 4*o + 4*k = 20. Suppose 4*f = 2*m + 16, 3 = -2*f + 5*m + 27. What is the least common multiple of f and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 413, 926, 1643, 2564?\nAnswer: 3689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 14. Let o be q(-13). Suppose -12*s - o + 120 = 0. Solve 12*c = s*c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:46 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x**2 - 29*x + 40. Let s(n) = -7*n**2 - 15*n + 21. Let q(v) = 6*d(v) - 11*s(v). What is q(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 i, and 1 y when four letters picked without replacement from iivoooovyokkokvvkn.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 18\/(-4))*4\/6. Suppose 2*v + s*m - 396 = 0, -4*v + 756 = 3*m - 2*m. Is 189 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 1. Let c(r) be the second derivative of -r**4\/12 + r**3 - 5*r**2\/2 - 2*r. Let m be c(4). Suppose 3*q - m + 0 = 0. Determine s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8998*h - 302. What is the hundreds digit of b(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 232161785, 232161787, 232161789, 232161791, 232161793, 232161795?\n\"Answer: 2*c + 232161783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k + 4. Let l be 6\/(-4) + 795\/550. Let w = l + 8\/1155. Is k at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210 (base 5) to base 12\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29)\/(4\/(-2 + 10)). Let k = 78 + d. Suppose -3*f = -i - k, -5*f - 3*i = -10 - 0. Solve -b = f*s - 15, -2*b - 2*b - 4*s = -12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 922 = i + 18, -932 = -i + 2*f. What are the prime factors of i?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316790*l - 316785*l = -a + 144, -5*a + 3*l = 92 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*f**2*k*w + 544*f**2*w**2 - 3*f**2*w + 19*f*k - 43*f*w**2 - 3*f*w + 5*f wrt f.\nAnswer: -30*k*w + 1088*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 1\/(4\/(-12)*3). Solve -3*v + 7*z - 2*z = 37, -v - 29 = -u*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/18 - 380*h**3\/9 + 36100*h**2\/3 - 477*h. Suppose o(x) = 0. What is x?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 860 + -4447?\nAnswer: -37a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x + 78. What is a(-4)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + (sqrt(162) + -1*sqrt(162))\/sqrt(9))*4*4)\/(sqrt(6) - sqrt(18)\/(-4*sqrt(3)) - (sqrt(6) + (sqrt(72)*1)\/sqrt(12))).\nAnswer: -64*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1096 divided by 274\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612 - 159 = -3*k. Is 10 a factor of (-4)\/24 + k\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen halves of a kilogram in grams?\nAnswer: 9500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 199 = -3*v, -292 = -4*v - 4*u - 0*u. Suppose 0 = 4*i - 4*d - v, d - 4*d + 45 = 5*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1258\/5, -5\/18, 0.5, 2, -2\/5?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let y(d) = -d**2 + d - 1. Determine q(k) - y(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*d, 0*z = 2*z - 3*d. Suppose -15 = -3*o - z*o. Solve -4*s + 3*s - o = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3 + 2 + 0). Let b(r) = -5 + s + 3 - r. Let g(o) = 4*o. Give g(b(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 279*l = -281*l - 4, 3*v + 14 = -5*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3175\/11 + 290. Calculate the common denominator of d and 56\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/9 + 670*m**2\/3 - 57750*m + 816750 = 0. Calculate m.\nAnswer: 15, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(2 + -5 + 4). Suppose i*g - 32 = -4*g. Solve 3*b = -a + g, -b - 3*b = 2*a - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (180\/84 + -2)*21\/1944 and -83\/18.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -5*p**3\/6 + p**2 + 16*p. Let g(x) = 4*x**2. What is g(a(r))?\nAnswer: 100*r**2 - 80*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1 + sqrt(3))**2 + 2 - sqrt(3))*5 + (sqrt(3)*-2*4)**2 + ((sqrt(33)*-2)\/sqrt(11))**2 + 2 + -5.\nAnswer: 20*sqrt(3) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -35515?\nAnswer: -35511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 284 + -306. Let m be -1 + (9 + -10 - f\/5). Determine q so that -m*q - 2 - 2\/5*q**2 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 2, s: 4}. What is prob of picking 3 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/(-507)*(-468)\/144?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w - 14 + 14)*(-6*w**3 + 0*w**3 + 2*w**3 + (w**3 + 0*w**3 + 0*w**3)*(0 + 2 - 3)) to the form j + f*w**2 + l*w**4 + k*w + c*w**3 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*x**2 - x + 146 wrt x?\nAnswer: -74*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 40 in 0, 129, 2, 4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i + 2. Calculate the least common multiple of y(2) and 6 - (87\/(-12) - 25\/(-20)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o - 416 = 0. Let n be (2 + o\/(-12))*3. Let k = n - 59. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255 and 89580.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 407951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/2))\/(c*c**4*c))\/((c**(3\/4)*c*c)\/(c\/c**(2\/3))) assuming c is positive.\nAnswer: c**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2802404, 2802448, 2802492, 2802536, 2802580?\nAnswer: 2802624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120003497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 + 7*z - 9. What is the smallest common multiple of b(6) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1107 and 861?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.625883 meters in centimeters?\nAnswer: 862.5883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - 1)*(-10)\/(-15). Let i(w) = -3*w - 3. Let j(u) = -2*u - 2. Calculate b*i(o) + 10*j(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -230, -226, -222, -218, -214?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/(-45) + (-451 - -454) and -77\/2925.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -49*h**2 + 53*h**2 + 4*h**2. Let k(o) be the second derivative of 0*o**3 + 0*o**2 + 1\/6*o**4 + 0 + o. Give k(j(m)).\nAnswer: 128*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/2 of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 10*i + 0*i**2 + 8*i + 2*i**3 + 7*i**2 - 6*i**4.\nAnswer: -2*i*(i - 1)*(i + 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193*w**3 + 4*w**2 + 1851*w wrt w.\nAnswer: -1158*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 13*s**2 + 29*s + 22. Let b be t(-11). List the prime factors of (b + -1)*(-16)\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 101. Let c(s) = -s + 35. Let h(k) = 8*c(k) - 3*q(k). Determine h(25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 110*a**3 - 8*a + 76. Does 113 divide c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqcccmcqccfl. What is prob of picking 3 q and 1 f?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pff when three letters picked without replacement from {p: 18, f: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -739853\/49 - -15099. Which is greater: n or -700?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19609, 19496, 19177, 18544, 17489, 15904?\nAnswer: 13681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j - 4. Let t be c(-4). Suppose i - 1 = 4*u - 4, t = 4*i - 4*u. Let n(m) = -10 + i*m + 7*m - 14*m. Calculate n(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187785 and 1040.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02775 + -0.1.\nAnswer: -0.07225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13355)\/10*(-3 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 18, -4, -55, 0, 11, -5 in descending order.\nAnswer: 29, 18, 11, 0, -4, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 67068. Let b(j) = -j. Give a(b(z)).\nAnswer: -2*z - 67068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 24*c - 316 = 37*c + 4*v, 0 = -c + 5*v - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**8*t*t*t*t)*t*t\/(t*t*(t*t**(-9\/7))\/t*t*t)*t assuming t is positive.\nAnswer: t**(-75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2379512500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.33? (a) 0.2 (b) 34 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 23*w - 16. Let u be c(10). Let v = -45 + u. What is v rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (50 + 303*z + 4 - 301*z)*(0 + 4 - 3) in the form j + o*z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -50, -30, -2, 0 in decreasing order.\nAnswer: 3, 0, -2, -30, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 29*l + 65. Let f(v) = 28*v + 66. Let z(w) = 28*w + 66. Let k(x) = -6*f(x) + 5*z(x). Let o(i) = 3*d(i) + 4*k(i). List the prime factors of o(-10).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 542038052 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 39*u + 46 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -56, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49141479.\nAnswer: 3, 31, 528403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/5 + 24*f**3\/5 + 51*f**2\/5 + 6*f.\nAnswer: 3*f*(f + 1)*(f + 2)*(f + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12526913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let b be (-3)\/(4 - 10\/2). Let f(i) be the first derivative of 0*i - b + 0*i**2 + 1\/3*i**3. What is f(p(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 1. Let h(l) = 4*l - 8. Let w be ((-6)\/(-45)*5)\/((-8)\/24). Determine w*b(j) + h(j).\nAnswer: 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 89 = -5*q, -2*q + 14 = j + 8 + 2 + 47 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*j - 13 = 0, -5*j + 1 = 26 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130.91 + -129. Round s to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504 divided by 12.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34139, 67276, 100413?\nAnswer: 133550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(325) + (-1*sqrt(325))**2 + sqrt(325) + sqrt(325) + (sqrt(104)\/(sqrt(8)*1) + 5)**2.\nAnswer: 25*sqrt(13) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 3*m + m)*(5*m - 5*m + m) - 3*m**2 + m**2 + 3*m**2 in the form j + b*m + g*m**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7179 = -3*p, -p + 5*p - 21537 = -3*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2 (c) 4.7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 3*p**2 - p - 2. Let h be j(3). Suppose -25 = -4*b - b. Let a = b + -1. Sort a, -4, h in descending order.\nAnswer: a, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1020075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**5\/150 - l**4\/30 + l**3\/15 - l**2\/15 - 13*l. Factor j(k).\nAnswer: 2*(k - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0*b**3 + 0 - 1\/6*b**4 + 0*b - 4*b**2. Give m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12164 + -37933. Is -25768 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 1\/3*a**3 + 79*a**2 + 0 + 0*a + 13\/10*a**5 + 7\/12*a**4. What is the second derivative of f(g) wrt g?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/((-1)\/((-996)\/9)). Suppose 13 - r = -s - 4*z, 5*s + 5*z = 780. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62542997.671302 - 62543318. Let r = q + 286.32864. Let n = -34 - r. Round n to 6 dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v - 97 + 340 - 130 - 108.\nAnswer: 15*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 512a - -4a7b2?\nAnswer: 53920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*15*7\/21. Suppose 4*d - 142 = p*o + 1017, -d = 4*o - 295. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**0*b)\/b)**(-4\/7)*b**4\/b**8)\/(b**(1\/3)\/(b*(b\/b**(-9\/5)*b)\/b)*b**(2\/13)*b**(4\/7)) assuming b is positive.\nAnswer: b**(-2498\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -24. Which is bigger: 29\/5 or j?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 922909 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-20))\/((-48188)\/(-413040))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -7*x + 0 + 0*x**3 - 4\/45*x**6 + 1\/10*x**5 + 1\/18*x**4 + 0*x**2. Factor y(c).\nAnswer: -2*c**2*(c - 1)*(4*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 9) in base 13?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 30. Which is the biggest value? (a) p (b) -10 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931000.1 millennia in years?\nAnswer: 931000100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -3022, -4, 5 in descending order.\nAnswer: 5, -4, -25, -3022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19.5 and 24.322646.\nAnswer: 4.822646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a*b**3 + a*b**2 - 5*a*b - 2*a + b**3 - 22*b wrt b.\nAnswer: 6*a*b + 2*a + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -67, 3 in ascending order.\nAnswer: -67, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 20*s**2 - 14*s - 10. Calculate the remainder when 101 is divided by k(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 276 - 236. Suppose 6276 = -34*c + p*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.158 - -0.042. What is the fourth biggest value in -1, 4, 1\/3, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:20 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 44*t**2 - 46*t - 76. Determine w(-43).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4973722 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 907*t**2 + 0*t + 86*t**3 - 903*t**2 to the form d*t + a*t**3 + w*t**2 + l and give a.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4*t + 4 = 2*m - 0*m, -233*t - 43*t + 10*m - 9*m = 2202 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/(-5))\/(4\/30) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18734, 18887, 19026, 19145, 19238, 19299, 19322, 19301?\n\"Answer: -o**3 - o**2 + 163*o + 18573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -3, -13 in decreasing order.\nAnswer: 1, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r + 3*r**3 - 3 - 1\/2*r**2. What is the units digit of t(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -18*j. Let k(b) = 51*b - 1. Let m(f) = 70526*f - 1379. Let r(y) = -1379*k(y) + m(y). Determine o(r(u)).\nAnswer: -3546*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38926373 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a factor of 10368515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2250 and 91\/1250?\nAnswer: 11250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 0.1, -2.699?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c. Let r(f) = 5*f. Let y(l) = -3*q(l) + 2*r(l). Let h(k) = k**3 + 4*k**2 + 3*k + 2. Let a be h(-3). Let m(j) = -6*j**2 + j**2 - j**a. Give m(y(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 86\/6 - 8\/(-12). Let t = i - 9. Is 6 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)\/(q**15*q))\/((q**2*q)\/(q\/(q\/(q\/(q**(-1\/2)*q))))))**37 assuming q is positive.\nAnswer: q**(-12469\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-3) + (-9 + 1)\/(-4). Let z be -3 - -4*1 - -3. Solve z*p - 9 - k = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**3 + 15*n - 3 + 6*n - 2*n - 29*n to f*n**3 + d*n**2 + m + u*n and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 - 8*y**2 + 6*y + 8. Is 10 a factor of w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from aaawawgagaagaaag.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1560 by -1.\nAnswer: -1560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(((-1250)\/60)\/(-25))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 297223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 212000202210 (base 3) in base 6?\nAnswer: 13414250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1529*u - 7 + 1530*u - 2.\nAnswer: u - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 47, 73, 99, 125, 151?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 40 = 4*w. Suppose 8*f - w*f + 4 = 0. Suppose c + j + 24 = 5*c, c + f*j = -11. Solve 4*r + 7 = -0*s + s, -c*s = 5*r + 40 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = -z. Let t(g) = 3*g. Let w(k) = -3*k. What is z*t(s) - 5*w(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u - 6, -5*w = 2*u + 6. What is the third smallest value in -0.4, w, 1, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(54\/96) + -5. Suppose -15*a = -d*a + 16. Let v(b) = 15*b - 1. Let p be v(-1). Sort -5, a, p in ascending order.\nAnswer: p, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + i + 3 = 0, -5*w - 4*i + 2*i = 21. Sort 11, -3, w in descending order.\nAnswer: 11, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 47, -4, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 6. Calculate g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1072 divided by 1072\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11975 - 11927. Calculate the smallest common multiple of a and 2656.\nAnswer: 7968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 + -115. Let a(x) = -6*x**3 - 11*x**2 + 2*x - 5. Let q(j) = -3*j**3 - 5*j**2 + j - 2. Give l*q(z) + 2*a(z).\nAnswer: 3*z**3 + 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3.4 (b) 0 (c) -1 (d) 1\/5 (e) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.5844 to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1978\/434647 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atsaslsalaatamttsass. Give prob of sequence slaa.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00309166736 rounded to 7 dps?\nAnswer: -0.0030917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsrzksfszqqqzfzsr. Give prob of picking 1 s and 3 z.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72085*v**3 + 144129*v**3 - 72045*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, x: 7, t: 2}. Give prob of sequence xx.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1006, 73, -2 in increasing order.\nAnswer: -1006, -4, -2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3102 + 40334\/13. Let l be (-1)\/(-2) - 9\/26. Factor 0 - l*v**2 + k*v.\nAnswer: -2*v*(v - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 470543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299786739 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 divided by 4.\nAnswer: 217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 351698920 to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - w - 16*w + 5*w - 12.\nAnswer: -23*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (182\/(-1352)*(-6)\/(-21))\/((-2)\/(-24))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2640 and 1040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/937 and -87\/265994.\nAnswer: 249236378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13462 (base 7) in base 4?\nAnswer: 321112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3 - -2) + -1 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.8? (a) -4 (b) 0.022 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(396) - ((sqrt(396) + 0)**2 + 4)).\nAnswer: -399 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + -6 + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555460602.\nAnswer: 2, 3, 92576767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {v: 2, f: 2, c: 8, d: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/7, -3\/266, 0.3 in increasing order.\nAnswer: -0.1, -3\/266, 1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 347 + -492 - ((-11 - -4) + -27)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/10 and 71\/702.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365 (base 8) in base 2?\nAnswer: 10011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -13119088\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2360 and 39\/3830.\nAnswer: 903880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2442 by -814.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 6*n**2 - 5*n - 4. Let t be u(-6). Let h = -651 + 650.6. Which is the closest to t? (a) h (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 533.189*-0.3\nAnswer: -159.9567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32659.9505 + -32463. Let r = v + -197. Round r to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**5\/30 + 3*o**2 + 8. Let d(c) = -367*c**2. Calculate n(d(i)).\nAnswer: -269378*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*d**3 - 104*d**3 + 665*d**3 - 113*d**3 - 105*d**3 - 156*d**3.\nAnswer: 64*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12022 (base 8) in base 5?\nAnswer: -131023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from qmqqaqlllqta.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 9, 14*d - 3*x = 11*d + 38088. What are the prime factors of d?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g**2 - 7*g. Let s(c) = 12*c**2 + 12*c. Let y(a) = -4*s(a) - 7*w(a). What is y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585532 a multiple of 796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 92\/16)\/((-9)\/18). Let x = -10 - -9.95. What is the nearest to -1\/3 in h, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + -81. Let y = -7.0018 - k. What is y rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31940, -63892, -95844, -127796?\nAnswer: -159748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 4.23\nAnswer: -1.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -56*w**4 + 1759*w - 7346. Differentiate a(l) wrt l.\nAnswer: -672*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 66*j - 65*j - 25, 3*n + 2*j = 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453.35 centuries in millennia?\nAnswer: 245.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/281?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**8\/42 - a**5\/30 - 9*a**2. Find the third derivative of g(o) wrt o.\nAnswer: -480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f + 6145547 = 65*f - o, -f - o + 1536378 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 272 + -1356\/5. Is c greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5086650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41822, -41799, -41768, -41729, -41682, -41627?\n\"Answer: 4*s**2 + 11*s - 41837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Let u = 22 - -4. Let t = -20 + u. Calculate the lowest common multiple of t and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofgggmmmmtftfmg. What is prob of sequence ggtm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -1 - 26. Let v(f) = -13*f**2 + 32*f - 16. Let u(z) = 3*z**2 - 8*z + 4. Let q(r) = t*u(r) - 2*v(r). Let o be q(7). Solve a + 12 = -o*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2157 - 1541. Let l = d - 226. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47646 and 701455.\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymmmmmmym. What is prob of picking 2 m and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 24*t - 49. Let v be w(-3). Let p = v - -344. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 6 = -3*h. Sort h, 3, 1 in ascending order.\nAnswer: 1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 390599*n**4 + 7680*n**2 + 11 wrt n.\nAnswer: 9374376*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -892 + 967. Suppose m*a - 27945 = 108780. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 760799.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 41.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24034347 from 470.\nAnswer: 24034817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4845\/4 + 1196. Find the common denominator of t and -53\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 9 - f + (-f + 0 + 0)*(1 + 1 - 4) + 3*f + 3*f - 4*f + 32 - 32 - 58*f.\nAnswer: -55*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 482089418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(6\/(-9)*-1). Let o be (-4)\/p*7\/(112\/888). Find the second derivative of -33*g**2 + 16*g**2 - o*g + 18*g**2 wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2475232 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 815 + 1738641.\nAnswer: 1739456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21, 4, 2, -4.\nAnswer: -21, -4, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218213 is divided by 19815.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 3 + -4 + 1. Suppose -4*h = -j + 11, -2*j + o = 2*j + 5*h. Solve -4*z = -1 - j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 324*v + 25 - 8 - 8 - 8 - v**2 to r*v + g*v**2 + k and give r.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 698*b = -5*g + 698, -1257*g - 5*b + 5 = -1260*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 31*h**2 + 19\/5*h**3 + 24\/5*h.\nAnswer: h*(h + 8)*(19*h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27817468802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 0. Let h be -1*p*(-4)\/(-16). Suppose 0 = 3*f - 4*l - 9, 4*f - 2*l = 3*l + 12. Solve -f*o + 7*v - 2*v = h, v + 23 = -4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (2*(-2 + sqrt(128)) + -1)**2) + -4.\nAnswer: -3232 + 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, t: 2}. What is prob of picking 2 c and 2 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380984 is divided by 895?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 + 8*x**3 + 0*x**3 + (-3*x**2 + 3*x**2 + x**2)*(2*x - 3 + 3) + 2*x**3 - 5*x**3 + 2*x**3 + 0*x**3 - x**3 + 4*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, -0.1, -1\/5, 2\/11, 0.1274?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37719756 to the power of 1\/2, to the nearest integer?\nAnswer: 6142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14277927.\nAnswer: 3, 4759309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-135))\/4*3. Let n = -0.05 + -9.95. Let i = n - -11. Is i greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001458154 rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -362 * 5.\nAnswer: -1810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 0 = -6*l + 5*l + 3*a + 7, -16*a + 48 = -4*l + 22*a for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54264, 54220, 54142, 54024, 53860, 53644, 53370?\n\"Answer: -r**3 - 11*r**2 - 4*r + 54280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, 13, 12317, 2.\nAnswer: 1, 2, 6, 13, 12317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5*d - 822 = -732, 39 = -3*b - 2*d for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/154443 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 8*g - 65. Let v(b) = -b - 3. Calculate the least common multiple of v(-5) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1719.64 or 0.036?\nAnswer: 1719.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919800.\nAnswer: 2, 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1416 and 3504.\nAnswer: 206736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/105 + (52\/30)\/13 + 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 37*d**2 + 61*d - 10. Let c be h(-2). Let l be 14\/4*(-8)\/(-7). Solve g + 3*g - l = c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5592000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.0548 + 2.05557982. What is a rounded to five dps?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/497 and 44\/502439?\nAnswer: 35673169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, b: 2, p: 6, c: 3}. Give prob of picking 1 g and 1 p.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*q + 8, 8*r = 5*r - 5*q + 4. Let h(u) = 3. Let j(d) = -d + 4. Calculate r*h(s) - 2*j(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 8*r**2 + 19*r - 2. List the prime factors of q(-4).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 105*w - 9. Let r(i) = -26*i + 2. What is -9*r(h) - 2*t(h)?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5624\/7 - 5632\/7*s - 2\/7*s**3 - 202*s**2.\nAnswer: -2*(s + 2)**2*(s + 703)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/12 - 7\/2. Let c = v - -6. Calculate the smallest common multiple of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 12, j: 2, k: 3, d: 1}. Give prob of picking 2 m and 1 k.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*u - u - 148, -112 = -2*p - 4*u. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2399*g**3*p**3 + 6*g**2 + g*p**3 + p**3 + 31*p**2 wrt g.\nAnswer: 14394*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 18, -207088?\nAnswer: -207088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 18 - (-10 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.0337811 rounded to two decimal places?\nAnswer: 13.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6019015 divided by -1203803.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*j = -53*j - 5*c + 40, -3*j - 2*c - 14 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 0*w + w)*(-2 + 3 + 1) + (2 + 1 - 2)*(-8*w + 4*w + 21*w - 3*w - 3*w + 4*w + (6*w - 2*w - 3*w)*(-1 - 1 + 0) + 5*w - 3*w - 3*w).\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != -1954\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -19036 >= -19038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*j - 1. Let b be (6\/4)\/(j\/(-78)). Suppose 0 = 4*g - b + 7. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 597*u**3 - 297*u**3 - 3*u**2 - 301*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39882 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 3 + (-86)\/(-10) + 188\/(-80)*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42151 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9d8064 (base 14) to base 16\nAnswer: 51d0c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 5*a**2 - 2*a - 3. Let m be h(6). What is the highest common factor of 21 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1052 + 727. Let v = -171 - u. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.6546591ms?\nAnswer: 0.0006546591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66217646.2 rounded to the nearest 100000?\nAnswer: -66200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -687397\/40 - -17186. What is the common denominator of t and 13\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 610 + 290. Suppose -8*d + q = -5*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u + 3*u + 3*u + 2*u + u - u + (2*u + 5 - 5)*(9 - 1 + 10).\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 76.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133461830 * 2.\nAnswer: 266923660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = 3*c - 4*c, 4*u = c - 34. Let k be 0 - (0 + 1)\/(u\/208). What is the greatest common factor of 26 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24011)\/73880 + 7\/10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14408 = 517*m + 11335 - 9199 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/23, 1\/3, 20091, 2\/11, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, q: 1, t: 1, k: 1, p: 3, h: 3}. Give prob of sequence ktq.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2985 divided by -262020?\nAnswer: 199\/17468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14059 > 14058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (235\/2)\/((-29170)\/11668)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1104 divided by 8\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16 + (3 - 5 - 2). Solve -4*w = -4*c + s, c + 21 - 4 = -4*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3107688.\nAnswer: 2, 3, 31, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249840536 and 1012.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15) - -3 - 4\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893, -3592, -8079, -14348, -22393, -32208, -43787, -57124?\nAnswer: -72213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1015 + -3?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -5*d - 15*a + 184, -d - 5*a = -8. Solve -34 + d = -4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 9*k + 4*y = 15, -15 = -5*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-3))\/(3\/9). Let l(u) = u**2. Let w(b) = 2*b**2 + 4*b**2 - 2*b**4 - 5*b**2. Let v(o) = h*l(o) + w(o). What is the third derivative of v(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 12:11 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m**3 - m - 2. Let l(c) = 45*c**3 + 6*c + 11. Give 2*l(o) + 11*q(o).\nAnswer: -9*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnoo when four letters picked without replacement from llltnlttlwllolltto.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/3)\/l*l)\/l)**37)**(-31)*l**7*l**(-6)*(l*l\/(l**(-5)*l))\/l*l*l\/l**(1\/4) assuming l is positive.\nAnswer: l**(18445\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20002101 (base 3) to base 2\nAnswer: 1000101010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*m + 73, -4*b = -5*m + 70 + 30. Suppose d + m = 1. Let w = d - -32. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 8.35. Let s = b + -0.05. Let m be (-10)\/35 + 3\/(-14). Put s, m, 2 in ascending order.\nAnswer: m, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 24, -1\/7, -19, 0.1, -11?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26070 and 17769312.\nAnswer: 88846560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58, -53, -44, -31, -14?\n\"Answer: 2*s**2 - s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1113 and 4270316?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -142152 (base 7) to base 10\nAnswer: -27183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/12*1\/90*-8. Sort f, 5, 21 in descending order.\nAnswer: 21, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m. Let t(p) be the second derivative of -p**3\/6 + p**2\/2 + 2*p. Let l be t(m). Is 1\/13 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -14375183*u. Let y(a) = 2*a. Determine t(y(r)).\nAnswer: -28750366*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0744 + 9.26.\nAnswer: 9.3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 44000393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.084 (b) -0.1 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkyyvkjykkvbjksjyk. What is prob of picking 3 k and 1 v?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -23*i - 8. Which is greater: 1\/230 or i?\nAnswer: 1\/230","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*u - 1 = 0, 2*u = -9587*i + 9584*i - 3*u + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2347087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 2. Suppose -2*z - 2*b = 6, 3*z + 0*b + 5 = b. Let h be v(z). Let p be (-4)\/6 - ((-12)\/9 - 2). Do p and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 15*l**2 + l - 6. Suppose -25*p = -14*p - 44. Is t(p) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/4*96\/(-1456)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (36 + 28 - 43 - 21) + -16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108832230*h - 108832230*h - 69*h**2.\nAnswer: -69*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.88 - 38.12. Let n = y - -37. Is 1\/3 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*a = 2. Let p be a - 9\/6*-2. Factor 2*v**p - 6*v**3 + 15*v**4 + 24*v**3 - 3*v**4.\nAnswer: 2*v**3*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 6*o**2 - 3*o + 1. Let a be y(6). Let q = 15 + a. Let c(k) = 3*k**2 - 1. List the prime factors of c(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5210621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + 0.44. Let u = d - 0.24. Suppose 0 = 13*j - 14*j. Which is the nearest to j? (a) -2\/3 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 3*g**2 + g - 6*g**3 + 2*g**2 + 5*g**4 + 4*g**3 - g to the form p + q*g**2 + i*g**4 + u*g + t*g**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 115610813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4997, -9961, -14851, -19631, -24265, -28717, -32951, -36931?\n\"Answer: 6*m**3 + m**2 - 5009*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r + 23. Let g be h(-4). Let y be (g - 24\/18) + 6. Which is the third biggest value? (a) 0.1 (b) 2\/5 (c) 0 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 2*y + 3208. Let s = y - 322. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15411 or 385251\/25?\nAnswer: 15411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 41. Let x = 7.2 - 30.3. Let u = l - x. What is u rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/9 + 2*r**2\/9.\nAnswer: 2*r**2*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3331 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 - 128. Sort 0.4, -2\/9, i in decreasing order.\nAnswer: i, 0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -37. Let o(k) = -29 - 2*k**l + 29. Let b(h) = 2*h**2. Determine o(b(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128 - 159 - (-4 + -56).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*i + 517 = -353 - 2830 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21619 divided by 13.\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -383 + 383. Suppose -1666 = -2*n + 5*a, y = n + a - 6*a - 823. What are the prime factors of n?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*d = -5*n - 300, 4*n = -4. Let k = 87 - d. Suppose 5*f = y + 10, 2*y + f = 3*f - k. Which is greater: -44\/3 or y?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-3 - 0) - -1. Suppose 7 - y = 3*h. Suppose -48 - h = -5*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 201, 207, 251, 345?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/8 + 20\/160. Suppose 0 = m - q - d, -5*q = m - 26 + 6. Suppose m*j - 29 - 31 = 0. What is the highest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3882.5642 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1180 = 3*y - 1193 + 2364, 16*y = 4*v + 48 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 0*w**2 - 96 + 16\/5*w**5 + 0*w**3 - 29*w - 1\/2*w**4. Differentiate a(y) with respect to y.\nAnswer: 64*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose l + 3 = b*l. Let z be (-2)\/((3 + -4)*1). Solve -n - 6 = 3*y, 5*y - z*y = -4*n + l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 + sqrt(539) - -3*(sqrt(11) + 1 - sqrt(11)))**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 10, 0*j + 3*j + 4 = -2*m. Suppose 8 = 4*d - j*d. Find the common denominator of -49\/4 and 31\/3 + d\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.93 + -8.93. What is the nearest to -4 in r, -158\/5, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.2 - -7.2. Let g be ((-12)\/21)\/2 + 2152\/(-14). Let o = g - -458\/3. Which is the biggest value? (a) -1 (b) w (c) 2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-0.1.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -397*p + 23. Is 18 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -17644*x - 670700. What is l(-38)?\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34457 is divided by 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 72 = 40. Let c(k) = -12*k + 4 + 24*k**2 - 8*k - 1. Is c(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -726 + 747. Let a = -0.9 - -5.9. Put a, 2\/3, k in decreasing order.\nAnswer: k, a, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26942 - -26945. Which is the fourth biggest value? (a) g (b) -0.27 (c) -4 (d) 1\/3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/2 in 0.06, 0.35, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*10*(-8)\/(-20). Let p = y + -24. Find the second derivative of 44*f - 47*f - 4*f**4 - 5*f**p wrt f.\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 + 32*i**3\/3 + 25*i - 10. Factor v(y).\nAnswer: y*(y + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-3)\/(9\/(-3)). Let i(m) = -2*m - 7. Let k be i(-5). Suppose w*l - 3*l - 3*r = 25, -k*l + r = -34. Calculate the remainder when 20 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -19) + (1 - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 33, 46, 61, 78, 97, 118?\n\"Answer: q**2 + 10*q + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l + 8. Give n(12).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121 and 33.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -60. Suppose g - 110 = -4*g. What is the smallest common multiple of g and u?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -518.2 + 518.1. Suppose 0 = -5*o - 5*m + 20, o - 16 = 3*o - 4*m. Which is the closest to -7\/11? (a) u (b) -1 (c) -4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 - -387. Is (8 - 9)*(-1 - r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1282 and 144866.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18735 and 17565.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2. Let y(c) be the first derivative of 1545*c**2\/2 + 1908. Calculate y(t(b)).\nAnswer: 1545*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.110419 to 3 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -158*m*o**6 - 2*m*o**3 - 2*m*o**2 - 171*o**2 wrt o.\nAnswer: -18960*m*o**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000261889336 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12531100 + -1025?\nAnswer: -12532125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**5\/20 + u**4\/3 + u**2\/2 + 5*u. Let h be o(2). Let l be -1*(h\/3)\/(-3). What is the closest to 0.1 in -4\/3, l, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237165?\nAnswer: 3, 5, 97, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 15) to base 10.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13443 and -14623.13.\nAnswer: -1180.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 9*s - 12. Let n be c(-7). What is the second derivative of -6*f + 2*f + 11*f**3 - n*f - 7*f wrt f?\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 3, i: 5}. Give prob of picking 2 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from wuhwwwwuhu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9 + -10 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*s = -113, 0 = -o + 25*s - 23*s + 74. Calculate the remainder when 71 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 14*g - 8*g. What are the prime factors of (g + -5)*(-7)\/((-84)\/(-496))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 232, 880, 1958, 3466, 5404, 7772?\n\"Answer: 215*m**2 + 3*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*b - 4*d - 106, -3*b + 5*d + 41084 - 41053 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 - 192 - 140 = 5*i, 1050 = -5*o - 104*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b + 14. Let a(q) = 1. Let z(w) = -6*a(w) + x(w). Let k be z(-6). Suppose 0 = 5*l - 5*t - 25, 2*l + 5*t = k - 12. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*c + 20, 4*g - c = 13. What is the highest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -8*c - 112, -170412*a = -2*c - 170415*a - 28 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d + 5. Let u be k(8). Suppose -u = -3*g + 106. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -13 + 5, -m = 2*j. Let u be (-41)\/((-4)\/(6 - j)). What is the greatest common factor of u and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/12 + 7*x**3\/6 - 4*x**2 + 13*x + 9. Let a(o) be the first derivative of -o**2\/2 + o + 2. What is 6*a(q) + g(q)?\nAnswer: -q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, -2340, 58 in increasing order.\nAnswer: -2340, -199, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 + 5*p**2 - 4*p**2 - 4*p**2 - 13*p**3 to the form k*p**2 + c*p**3 + i*p + h and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118954 is divided by 293?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 g when three letters picked without replacement from bwgwbwgbgeee?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -14?\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 94 = -284. Let h be ((-14)\/q - (-2)\/(-9)) + 4. Solve h*u - 5*l = 23, 3*u + l - 3 = -0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**9\/p*p)\/((p\/(p*p*p**(-6\/11)))\/p)*(p**(6\/5)\/p)\/(p\/(p\/p**(4\/9))) assuming p is positive.\nAnswer: p**(6044\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/110*1)\/((-139)\/((-34472)\/992))?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -167.4.\nAnswer: 2845.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -2. Let p(z) be the first derivative of -14\/5*z**5 + 9\/2*z**u - 4\/3*z**3 + 2 + 0*z**2 + 0*z. Factor p(l).\nAnswer: -2*l**2*(l - 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 5, 1, -8 in descending order.\nAnswer: 5, 4, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1787, -1861, -2053, -2423, -3031, -3937, -5201, -6883?\n\"Answer: -10*g**3 + g**2 - 7*g - 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -83. Suppose -d*x + 110 = -4*i, -2*x + 5*i = 3*i - 70. What is the remainder when 88 is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65728433.\nAnswer: 2833, 23201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -67777858 + 5?\nAnswer: -67777853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - sqrt(153)*1) - sqrt(153))*-5 + sqrt(153) - sqrt(153))\/(1*sqrt(324)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26254165*t - 7028192?\nAnswer: -26254165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -144.1\nAnswer: 14.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -95\/3. Factor -1\/3*r + 0*r**2 + 1\/6*r**4 - 1\/6 + n*r**3.\nAnswer: (r - 1)*(r + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*z + 38, -z + 16 = 29*b - 25*b. Solve 0 = -z*s + 2*s - 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -135*g**2 + 1351*g - 33. Let d be u(10). Sort -1, 24, d.\nAnswer: d, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*i - 17 = -2*z, -5*z + 5*i + 45 = 0. Suppose 5*a + 2*b + 6 = 25, -a - 7 = -z*b. Suppose 5*p + a = 33. Solve f = -2*f - p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 7*15\/245 - (-10931)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281665183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3621 + 3632 - 7253 + 4234*c**3 - c**3 + 4 - 4 + (-4*c + 2*c + 0*c)*(-4*c**2 + 4*c**2 + 2*c**2) as k*c**3 + t*c**2 + j + g*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -40372, -3, -2\/15, 3\/4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326343716?\nAnswer: 2, 83, 787, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -14. Let x = 4271 + -4271. Sort -4, 2, x, o in ascending order.\nAnswer: o, -4, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + -5 + sqrt(931) - (3 + -2*sqrt(931))*5)**2.\nAnswer: -1540*sqrt(19) + 112751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 23232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16 = p + 2, -28 = -4*n - 3*p. Suppose n*f - 8 = 3*f. What is the second derivative of f*w - 2*w**4 - 4 + 4 wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.3 (b) 0.2 (c) 2554\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452361969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 1. Let s(p) = 5*p**3 - 12*p**2 - 3*p + 3. Let l(v) = 3*v + 12. Let c be l(-6). Let q(r) = c*m(r) + s(r). Does 5 divide q(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2273, -4545, -6817, -9089, -11361?\n\"Answer: -2272*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -511 (base 8) to base 15.\nAnswer: -16e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*n - 4*v + 6, -5*n - 6 = v. Let p = n + 13. Find the second derivative of p*s**3 - 9*s + 4*s + s**3 wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110 - 93 - 4*x**2 - 103 - 56*x + 254.\nAnswer: -4*(x + 1)*(x + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 13*k = 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -50 + (-5 - 23 - -42)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 2*c + c + (0*c - c - c)*(-1 + 0 - 1) - 3 + 3*c + 3 in the form w*c + q and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/24*120\/(-105).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/3)\/(f\/f**6)*f**1\/(f*f**0*f)*(f\/f**0)**1*(f\/f**0)**(-1\/57) assuming f is positive.\nAnswer: f**(322\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001110100110 - -10101?\nAnswer: 111001110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from {t: 2, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3716 + -3718.271. Let k = 2.16 + p. Round k to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13734361 - 0.\nAnswer: 0.13734361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*(w*w**(-1\/12))\/w*w)))\/w)\/(w\/(w\/w**2))*w**(-4\/21)\/(w**19\/w) assuming w is positive.\nAnswer: w**(-1619\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 2 - -1)\/((-1)\/170*-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 9*t**2 + 3*t + 10. Let b be j(10). What is the greatest common factor of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2281)\/6 - 2\/(-2*6). What is q rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 15304146?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.23 - -1.229999041. What is q rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6*z - 8*z + 16*z)*(-4 + 105*z - 1 + 4).\nAnswer: 210*z**2 + 208*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2130\/(-27))\/(-1) + 25\/((-100)\/(-16)). Do a and 82 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, and 1 j when three letters picked without replacement from xjxpplx?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9911\/55)\/(-17)*((-85)\/1)\/(-17)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-200))\/(12\/(-500))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 4*y + 5. Let s = -1 + 3. Suppose -s - 8 = a. Let q = -4 - a. Let j(k) = k**2 + 5*k + 6. What is q*l(g) - 5*j(g)?\nAnswer: g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 + -175.224. Let b = 1.7 - k. Let m = -0.076195 - b. What is m rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 9 + 1. Let m = -1.7 - -1.8. Which is the biggest value? (a) k (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Does g = 1\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21093 is divided by 6706.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x**2 - 4*x + 4. Calculate the remainder when (-6)\/(-4)*(5 - (-74)\/6) is divided by m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011 (base 3) in base 8?\nAnswer: -1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 6. Let r = -30\/17 + 111\/34. What is the second smallest value in -1, a, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(16)*2)\/(sqrt(8) + (sqrt(8) - 6*sqrt(16)\/sqrt(2))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(-4 + (1 + sqrt(2057) + sqrt(2057) - sqrt(2057))*-1 + -5*(sqrt(2057) + sqrt(2057)*1)))**2.\nAnswer: 10890*sqrt(17) + 2240297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-2)\/((-120)\/9)). Let d be (x\/3 - 0)*-12. Let m = -402\/5 + d. Which is the smallest value? (a) m (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48)*1 - sqrt(48) - 3*(-1 + sqrt(3)).\nAnswer: -3*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -17336, 1, 40, -5 in ascending order.\nAnswer: -17336, -17, -5, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -9.6. Let g = 2.1 + d. Put g, 0.4, -2\/5 in increasing order.\nAnswer: g, -2\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29787? (a) 0 (b) 0.4 (c) 2.89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/2 - 43\/((-344)\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223564, -223624, -223684, -223744, -223804?\nAnswer: -223864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 115914723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l + 0*l - 2*l)*(142 + 58 + 62) as o + g*l and give g.\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1. Let z(j) = -j + 7. Suppose 8 = -9*u + 5*u. Let f(g) = u*z(g) + 14*n(g). Let h(i) = i**2. Determine h(f(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -180*i - 56 - 173*i + i**2 + 328*i + 170. Give l(18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -3 - (1 + -2). Suppose 0 = 4*a - 14 - u. Suppose 13 = a*w + 3. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/28)\/((-15)\/(-20)). What is the second biggest value in 1\/5, s, 36, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -403*b - 7214. Give s(-18).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -59. Let c(a) = -7*a - 71. Let d be c(-10). Put z, d, -4, 0 in descending order.\nAnswer: z, 0, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/46956650 and -17\/8450.\nAnswer: 46956650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + p - 2*p. Let n(o) be the third derivative of o**7\/2520 - o**4\/24 + o**2. Let l(a) be the second derivative of n(a). What is c(l(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312 and 1142518.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)*s**(-2))**(-37) assuming s is positive.\nAnswer: s**(296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 587, 127, -0.1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:02 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -967 divided by -1?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 3cd9e85?\nAnswer: -3cd9e85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 37\/10, -9\/5, -2, 6\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, m: 5, o: 6, v: 4}. What is prob of picking 1 o and 1 v?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - (7 - -1) - (-330 + 294)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 83*c + 109. Give t(-2).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 5 + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*s - 42. Let g = -430 - -566. What is the greatest common factor of g and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -40?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 32*s - 1144 = 0. Solve 107*g - 12 = s*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*c = 262*c + 10*c - 2485 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((14 - (-3 - -4 - 4)) + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(9\/(-5)*(-46 + 19 + 32) - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3275*h**2 - 4*h**4 - 27*h**5 + 6*h**4 - 1042*h**2 - h**3 + 766*h**2 wrt h?\nAnswer: -1620*h**2 + 48*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**3 + 3*g**3 + g**3)*(2*g + 0*g + 2*g) + 17*g**3 - 17*g**3 + 3*g**4.\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3 + 71 - 12 - 576*j + 64. Let y(p) = 23*p - 5. What is -5*l(f) - 126*y(f)?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 12:54 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -11 - ((-11 - -14) + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 3:34 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/5112 and -5\/138762?\nAnswer: 39408408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 295*l + 3470. Give g(12).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:45 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181440\/(-33600)*(-10)\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + r**2 + r. Let q(p) = -p**3 - p. Let c be (-10)\/(-2)*2 - 3. Let a be 4 - c - 0\/2. Let v = a - -5. Calculate v*h(n) + q(n).\nAnswer: n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/3690 and 23\/6150.\nAnswer: 18450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-56)\/(-6)))\/((-2202)\/2936)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 167*f - 12. Calculate i(1).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8637 + 8409.\nAnswer: 17046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 185*o + 88 + 136*o - 381*o wrt o?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 14 + 4 = 0. Let d be (-50)\/(-75) + q\/(-4 - 0). Which is the third biggest value? (a) -5 (b) d (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48332830 by -53113.\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60697.\nAnswer: 7, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-468)\/195*(-30)\/(-9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (0 + 3 + (-7 - -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(25\/13 - 2). Suppose x = 5*s + 59, -46 = 5*x - s - n. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -420 (b) -389 (c) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x**2 - 6*x + 1. Let o(k) = 9*k**2 - 5*k + 1. Let c(u) = -3*i(u) + 4*o(u). Give c(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6632\/829*(-4)\/((-16)\/7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.1. Let n = 1 + -2. Let m = 0.7 + n. What is the third smallest value in m, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -0.5 (c) 3 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -16. Let f = 17 + v. Suppose -x - g + 3*g - f = 0, x + 2*g = 13. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -258*i**4 - 372*i**3 - i**2 + 7*i - 436305?\nAnswer: -3096*i**2 - 2232*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1545 - -596744.33\nAnswer: 595199.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 5*t - 1. Let g(u) = -1. Let k(w) = -g(w) - y(w). Let r be k(5). Suppose 0*q = 4*q - 16. Solve -2*c + r*p - 2 = 4*p, q*p + 4 = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 14198400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24*26\/(-91))\/((-3)\/(-5)*142\/1491).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 1. Let k be c(-5). Let p be 4\/3 + k\/(-9). Let q(m) = -2*m + 3*m**2 - m**p + 1 + 0*m**2. Let o(u) = -u**2 + u. Determine -3*o(n) - q(n).\nAnswer: n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -160129.16 to the nearest 100.\nAnswer: -160100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37488317*z**2 - 32095427?\nAnswer: 74976634*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10334320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271221 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*m + 160*m + 159 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**8\/840 + u**7\/210 - u**6\/60 + 23*u**3 - 96. Let s(i) be the third derivative of f(i). Let s(b) = 0. What is b?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 84*y. Let m(f) = 11416*f - 6 + 11430*f - 22840*f. What is u(m(q))?\nAnswer: 504*q - 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 15*p**2 - 18*p - 16. What are the prime factors of n(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84)*-2 + sqrt(84) + (sqrt(84)*3 - sqrt(84))*4 + sqrt(84))\/((-2*(sqrt(72) + (sqrt(72) - (sqrt(72) + 4*sqrt(72)))))\/sqrt(6))*2.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k*p - 10870*k - 3207*p wrt k.\nAnswer: p - 10870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -7*s - 4*l + 10, -5*l - 54 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 14*j - 98. What is k(-29)?\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 25 = 3*j, 3*a - 4*j + 32 = 46. Let q be a\/5 + 85\/175*7. Solve 2*d + 3 = m + 11, 0 = 3*m + q*d - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 12 + 14 = 0, 0 = -4*k + 2*j - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166002\/25 - -6640. Which is the second biggest value? (a) q (b) 31 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {i: 3, f: 7, d: 3, t: 2, v: 1, z: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152.68 rounded to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*a = 251*a - 5*k, k = -5*a. Let c(d) be the third derivative of 18*d**2 + a*d + 0*d**3 + 0 - 1\/24*d**4. Let o(t) = 10*t**2. Determine c(o(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/17, 46, 3?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -89.7, -5\/123, 1 in increasing order.\nAnswer: -89.7, -5\/123, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -174, -260, -346, -432?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -18. Suppose -u*r = -2*q + 97, -r + q + 4*q - 1 = 0. Let j be -4*(r\/6)\/7. Which is the third smallest value? (a) j (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 2. Suppose -5*l - 4 = -29. Let x be j(l). Let k(p) = -4*p**3 + p**2. Let r be k(-1). Put r, 2, x in descending order.\nAnswer: r, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (468\/(-27))\/13.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:28 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmmnseo. What is prob of picking 1 e and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 + 319. Let t = -198 + v. Does 28 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -390.849 and -44?\nAnswer: 346.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7 + 1 - 5*z + 19*z. Find the common denominator of 50 and b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 18*y - 21. Suppose -y*q = q - 24. Solve -q*v - 3*s = 0, -2*v - 2 = 3*s + s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 277, 497, 897, 1477, 2237, 3177, 4297?\n\"Answer: 90*l**2 - 50*l + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) -33 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*-2.57\nAnswer: 12.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 30 = 6*n. Suppose 0 = n*g - g - 15. Solve 3*x - 6 = 2*u, 0 = -2*x + 2*u - 1 + g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y\/(y*y*y*y\/(y*y*y**(-32)\/y*y)*y))*y*y**33 assuming y is positive.\nAnswer: y**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 510, -1, 44, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38347.48mg to grams.\nAnswer: 38.34748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64182, -64145, -64084, -63987, -63842, -63637?\n\"Answer: 2*t**3 + 23*t - 64207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*u + 2*s + 17, -4*u - 32 = -3*s. What is the units digit of u*-2*3\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -626 - -1514?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -12\/337 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248237 is divided by 856.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 5*h + 13. What is the units digit of y(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 3, j: 1, w: 2, x: 3}. What is prob of sequence ajx?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*o - 2583 = -5*t - 2475, 0 = 2*o - 3*t + 52 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 - 144. Let r(u) = u + 2. Let v(a) = 24*a + 51. What is w*v(f) - 153*r(f)?\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 329 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**2 + 11*k + 5. Let b be 3 + 12 + 3*8\/(-6). Let c(q) = -4 + b*q**2 + 2 - 5*q**2 - 5*q - 2*q**2. Calculate 7*c(n) + 3*g(n).\nAnswer: n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*(3 - 12\/30). Let k(u) = 6*u + 82. Let y be k(l). Calculate the highest common factor of y and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/7 and 85\/1853*(-8)\/10.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48990 = 5444*i - 4754*i for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, 0.2 in ascending order.\nAnswer: 0, 0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 78\/24 - 1\/4. Suppose 1 + 5 = x*c. Which is bigger: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-5)\/(25\/20). Put 0.3, v, 43 in ascending order.\nAnswer: 0.3, v, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaakaakaaak. What is prob of picking 1 k and 1 a?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 34118 = -19*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, -37, 1, -3, -4 in decreasing order.\nAnswer: 1, -1, -3, -4, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.046 (b) -17 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = 2*f. Let m = f - -9. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (41 + -2 + -30)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:57 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 29*i**3 + 5*i**2 - 97*i. Let l(u) = u**3 + u**2 - u. What is -a(t) + 5*l(t)?\nAnswer: -24*t**3 + 92*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -20314861.5\nAnswer: 20314861.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -62. What is the highest common divisor of p and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*n - 72*n + 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*m = -7*n, m = 4*n. Suppose -3*o - w - 5 = -7*o, o + 4*w + 3 = n. Solve o - 13 = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2*(-48)\/73920*22.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + 12 + (-25 - (-7 - -13)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -19*x**3 + 15*x**2 - 3*x. Let c(t) = 2*t**3 + 5*t**2 + t. Determine b(y) - 3*c(y).\nAnswer: -25*y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 81\/(-2)*18\/(-27)*3. Let n = -69 + f. What is the second derivative of 41*v**5 - 6*v - 13*v**5 + n*v wrt v?\nAnswer: 560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by -6.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0, 6, -5, 3, -36, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -22. Let q = t - -10. What is the remainder when 118 is divided by (-18)\/21*q*7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18839390 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90594493 or -90594495?\nAnswer: -90594493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.5346525 hours to weeks.\nAnswer: 0.1103253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13457736*h**3 + 617*h**2 + 1181?\nAnswer: -80746416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 6*w**2 - 3*w**2 + (-8*w + 10*w + 11*w)*(-4*w + 3*w + 8*w).\nAnswer: 92*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000464224 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524030.\nAnswer: 2, 5, 13, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times -7.35869\nAnswer: -1.3245642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11)\/(z\/((z\/z**(-1))\/z)))\/(z**5\/z**(-1\/5))*(z*((z**(-2)*z)\/z*z)\/z*z*z**(-3))\/(z**(3\/2)\/(z**(-1\/10)*z)) assuming z is positive.\nAnswer: z**(-474\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*i = 2067*i + 11944 - 102216 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1122 to two decimal places.\nAnswer: 3.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 139*f - 138*f - 46, 4*x = 3*f + 135. Calculate the smallest common multiple of 12 and x.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/53 and 3\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 402054 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 4) to base 14\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 8*c + 24. Let v be m(-12). Calculate the greatest common divisor of 32 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5001328853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11621187 + 8488660 = -103*b + 32886264. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10584)\/3381)\/((-2)\/9) + -14.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**5\/20 + 5*q**4\/24 + q**3\/2 - 4*q**2. Let o be v(-3). Suppose 0*b - o = -3*b. Solve -17 = b*u - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 785 + -792.03. What is n rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 22. Let b be q(16). Suppose 0 = 4*w - b*w + 12. Solve 0 = 4*v + 4, -7 = 2*s + v - w*v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51 - ((-38)\/(-171) - 6\/27). Calculate the highest common factor of 391 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 98, 0.5, 3\/5, 2\/7, 50, -0.36?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 140. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - 13*v - 1. Let x(y) = 4*y**2 - 19*y - 2. Let t(g) = 7*l(g) - 5*x(g). Determine t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, s: 3}. Give prob of sequence ses.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -45\/2. Let q = 147 + -1026\/7. Which is the nearest to d? (a) 1\/5 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 4999788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15480 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbiiiittb. What is prob of picking 1 b and 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*q - 105, h - 31 = -2*q + 4*q. Suppose 0 = -30*b + 113 + h. Sort -3, b, 4, -8 in ascending order.\nAnswer: -8, -3, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8143422, 1, -0.6 in ascending order.\nAnswer: -8143422, -0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 519 + 42. Let q = v + -52. Solve -5*l + 5*t + 9 = -q, -5*l - 20 = t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.52 + -0.12. Let g = 1.2 - l. Is 1 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910432 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + (-6)\/9. Suppose 0 = 4*n + 5*l + 48, 0*n + 5*l = -5*n - 65. Let f be n\/(-170)*1\/(-8). Which is bigger: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 4, -9, 2, 1 in decreasing order.\nAnswer: 14, 4, 3, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46228\/5334)\/((-20)\/(-3)) - 1.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-128 + 0)*(-7)\/(-56)*8. Is q\/(-32) - (-22245 + 4\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l - 61. Let t be h(21). Solve -t*z = 5*m - 10, 3*z - 15 = -2*m - 0*m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 764571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:25 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*n - 1 - 7 = 0, 0 = 3*n + 12. Suppose k = 5*i + 10, -2*i - i = -5*c + 11. Is c > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -23, 0, -177, 5, 3 in ascending order.\nAnswer: -177, -23, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -310991 and -0.4?\nAnswer: 124396.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26643000 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*v**2 + 28*i - 16*v**2 - 2*v wrt v.\nAnswer: -6*i - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 12 = 6. What is the lowest common multiple of 4 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r + 2. Let y(t) be the second derivative of -t**4\/3 - 205*t. Give y(k(h)).\nAnswer: -196*h**2 + 112*h - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 18844668.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4383a - -3?\nAnswer: 4383d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315 and 6?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - r**2. Let l be z(1). Let i be 1 + (-5 + 3)\/(2 - l). Let t = 5 - i. Solve -2*f - 2 = a, 4*f + 8 = -t*a + 2*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 47*g + 49. What is the units digit of k(-43)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/u*u**4)\/(u\/(u*u**(-7\/5)*u*u)*u**(8\/3)) assuming u is positive.\nAnswer: u**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -5*s - 3*u + 380, 2*u = 3*s - 349. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*q)*(1260*q + 9 - 12*q**3 + 7*q**3 - 1257*q).\nAnswer: -10*q**4 + 6*q**2 + 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.174 + -12.174. Suppose -2*t + 1 = -3. Which is the third smallest value? (a) t (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3272 divided by -409\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**6\/24 - 5*u**4\/24 - 11*u**3\/6 + 24*u**2. Let t(h) = -3*h**3 - 3*h - 6. Give 7*t(s) - 4*z(s).\nAnswer: -s**3 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 35. Suppose d - 40 - j = 0. Suppose p + 2*y = 20, -2*p = 2*p + y - d. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328073 and 2228?\nAnswer: 1312292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-3))\/(-10)*(-60)\/66*1?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8)*16\/78.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 2*j + 1. Let f be a(-2). Let w = f - -1. Suppose z + 24 = w*z. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 3. Let b be (x\/(-6))\/(4\/(-120)). Let j = b - -24. Solve 29 - j = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -853904992 and -0.2?\nAnswer: 170780998.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2577?\nAnswer: 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u. Let c be b(1). Suppose c = 2*g - 33 + 1. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 475.478 - 475. Let p = m + -0.178. Which is the nearest to 2? (a) -0.2 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11041 + 11046. Let v = -10\/7 + 19\/28. What is the fourth biggest value in v, l, -9\/10, -0.3?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 - 23113012?\nAnswer: -23113333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51465 = 5*y + v, -4*v = y - 13224 + 2912. Suppose y = 119*r - 775. What is the remainder when r is divided by -4*(-7 + -1*1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 436*a**2 - 441*a**2 + 152 - 25*a - 32.\nAnswer: -5*(a - 3)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 287\/2528?\nAnswer: 287\/2528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43112992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = m + 4*m. Let y be (-2)\/m + 2\/6. Suppose y = -2*h + 6, 0 = -p - p - h + 15. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00224331 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -3*p - 9, 12*a + 11 = -5*p + 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1968\/5330*(-10)\/(-8)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o + 9 = -2*v, -4*v - 22 = -2*o. Solve 0 = 4*c - 17 + o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30 and 37.1467?\nAnswer: -1114.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen quarters of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 183348 = -185787 + 468039. List the prime factors of o.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36595*j**2 - 10*j + 951556.\nAnswer: -73190*j - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k - 6. Suppose 5*z - 2*a - 15 - 14 = 0, 50 = 5*z + 5*a. Let d(n) = 6*n + 7. Let g(r) = z*q(r) + 6*d(r). Let y(p) = 2*p**2 + 9. Give g(y(x)).\nAnswer: 2*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 4*x**2 + 5*x - 5. Suppose 0 = -34*d + 30*d + 16. Calculate f(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26.7, 11, 1005?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 17*v**4\/2 - 55*v + 11. Let i(y) be the first derivative of u(y). Let p(r) = -r. What is i(p(x))?\nAnswer: 102*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 12. Suppose -f - 5*c + 30 = 2*f, 2*c = m. Let p(n) = n**3 + 4*n**2 + 3. Let u be p(-4). Solve -f*i - 5 = z, -u*i + i + 1 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 + 144*u**2 + 762*u + 616 = 0. What is u?\nAnswer: -4, -1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 807.5292mg?\nAnswer: 0.0008075292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*o**2 - 58*o**2 + 109*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*a + 7 - 8*a - 7 to the form y + f*a and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 892*0.016416.\nAnswer: 14.643072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/(17\/((-5984)\/(-33))). Let y(x) = -x**3 - 17*x**2 - 13*x + 18. Determine y(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.596834 millimeters in nanometers?\nAnswer: 7596834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**5\/10 - t**4\/3 + t**3\/2 - 17*t**2\/2 - 53*t. What are the prime factors of a(5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -20. Suppose -4*g = 5*o - 10, 0 = 3*o - 2*g - 1 - i. Suppose 6*t - 15 = -5*u + 4*t, o*t = 4*u - 30. Solve -u*p = 4*s, p - s + 11 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10105\/399 + -1\/133. Let t = -25 - d. Let h be 48\/(-70) - (-2)\/7. Which is the third biggest value? (a) 3\/5 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -17 and 115.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 - 4*l**2 - 9*l + 4. Let v(p) = 2*p**3 - 2*p**2 - 4*p + 2. Let d(c) = -6*c + 31. Let h be d(6). Let t(s) = h*v(s) + 2*w(s). Solve t(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 2\/37, -2\/973, -0.94?\nAnswer: -2\/973","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 40 = -405*r + 408*r, 7*u - 16 = r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10569.9 + -10570. Let q(g) = -5*g**3 - 2*g**2 + 1. Let l be q(-1). Let c be 2 + (l\/5 - 3). What is the closest to c in d, -5, 8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**3 + 1. What is p(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/9 - 5*h**2\/9 + 8*h\/9 - 4\/9.\nAnswer: (h - 2)**2*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 80541088 divided by 239\nAnswer: 336992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2665, 1959, 1235, 493?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191 + -262. Let o = v - -66. Let s = 103 + -1547\/15. What is the fourth smallest value in o, 0, 1\/7, s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14915256 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -92\/2766735 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 1:33 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -17, -24, -31, -38?\n\"Answer: -7*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 2*h - 2*l + 57, -l - 5 = 0. Let b be -5 + -1 + 2 - -13. Suppose -b*a + 20*a = 66. Calculate the greatest common factor of a and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -12*k - 3. Let n be i(-6). Suppose -2*g = g - n. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67862896 and 2528?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/10*(-861)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Suppose -h - 44 = -12*h. Suppose -5*z = -3*t + 31, h*t + 0*z - 3*z - 45 = 0. Let x(g) = -16*g**2. Calculate t*n(q) - x(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/470483453?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -44*u**3 + 11*u**2 + 115*u + 1220. Let w be q(-11). Round w 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 smallest value? (a) -2\/3 (b) 1 (c) -1317 (d) -1 (e) -0.4785\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/8 + 15*b\/8 + 9\/4 = 0. What is b?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008452 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107050 and 2870.\nAnswer: 30723350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536 = 45*x - 2691 - 2345 for x.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659604486.\nAnswer: 2, 829802243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*r**4 - r**3 + 190*r**2.\nAnswer: -888*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 312232500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j - 11 + 10 - 1 as o*j + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13629 + -309?\nAnswer: 13320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5312 (base 7) to base 14\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide (-81)\/(146\/(-28) - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60697526?\nAnswer: 2, 211, 143833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(55)\/sqrt(176) + sqrt(5).\nAnswer: 5*sqrt(5)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*o - 6 = -0, y + o + 2 = 0. Let j = y + 3. Factor -2\/7 - 2\/7*s + 2\/7*s**2 + 2\/7*s**j.\nAnswer: 2*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180 (base 15) in base 16?\nAnswer: -e88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/49 and 86\/315.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7933709.\nAnswer: 7, 1133387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 388*a + 2342. Let o be g(-6). Solve -w = -t - 2, -t - o + 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/3 or 327639?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 2. Suppose f*p - 4*w = -1, 3*w = -3*p - p + 32. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 22*p + 291. Let g be b(-13). What is the smallest value in -5, g, -6, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1429937 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -5435105637575.\nAnswer: -5435105637574.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4 + 1102*t**3\/5 - 494*t**2 - 17358*t\/5 - 342 = 0. What is t?\nAnswer: -57, -3, -1\/10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21077 = -30*w + 16423. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1174881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 - 3 = -2. Sort -1, 5, i, 0, 2 in ascending order.\nAnswer: i, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4267822 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q**2 + 3*q + 1. Let a(p) = 8*p**3 + p**2 + 3*p - 7. Calculate a(h) - i(h).\nAnswer: 7*h**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300)*1 - sqrt(300)) + sqrt(300))\/((sqrt(100)\/sqrt(5))\/sqrt(5)))**2 + 1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 413 = -437 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 451*a**4 - 621. Let d(f) = f**4 + 1. Let r(m) = -4*d(m) - g(m). Differentiate r(p) with respect to p.\nAnswer: -1820*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 32.6. Let d = 35.7 + l. Round d to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -18. Let k = -1 + u. Let v be 2\/9*k\/20. Put 0.3, v, 0.2 in decreasing order.\nAnswer: 0.3, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 11:22 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**2*t*z**3 + 2*m**2*t - m*t + 13*m*z - 3*t + 4*z**3 wrt m?\nAnswer: 4*m*t*z**3 + 4*m*t - t + 13*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c + 637. List the prime factors of k(0).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 73*d**3 - 10*d + 182. Let y(k) = 73*k**3 - 12*k + 181. Let q(x) = -6*l(x) + 5*y(x). What is the derivative of q(v) wrt v?\nAnswer: -219*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b. Let r(c) = -c**2 + c + 4. Let o(x) = 6*x**2 - x - 5. Let k(u) = 2*o(u) + 2*r(u). Determine p(k(y)).\nAnswer: -30*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 3\/(9\/33). Let w be (9\/(-1) + x)*-2. Solve -w*a = 5*a - 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwiiifwiqqwiiiiqyi. Give prob of sequence qw.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = c - 6, -4*c - 3*w + 9 = 0. Suppose c*z = 5*z + 4*f - 4008, -5*f = -5*z + 4035. Let n = z - 433. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -536*d**3 + 15*d - 12?\nAnswer: -3216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 5. Let n be l(5). Let q = 12 - n. Suppose -2*g + 0*g - 62 = -5*d, 2*g + 38 = 3*d. What is the remainder when d is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -132*n - 123. Does 10 divide f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.48 times -2?\nAnswer: -46.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-28 - 25 - -29) - 95?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**5\/7 + 12*g**4\/7 - 9*g**3\/7.\nAnswer: -3*g**3*(g - 3)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77b (base 13) to base 5.\nAnswer: -20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5091 + -5087. Let p = -64\/35 + 12\/5. What is the second biggest value in -2\/11, p, o, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*x - 9*x + 234 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(21)\/sqrt(3)*5 - sqrt(7)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - f + 2.\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853568 is divided by 980?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Convert 4d1 (base 15) to base 11.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2408 is divided by 595?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101111000 - -1000011?\nAnswer: 110110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978954.5 decades to years.\nAnswer: 9789545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 7 - 4*f**2 - 3*f - 2*f + f**3 - f. Let u be x(5). What is the second derivative of -4*c - u*c**2 + 2*c + 3*c**2 wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from dcoddoydryycdycrdy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*c = 1970 - 10160 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-28))\/(-5 - 451\/(-77))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 507 + 111 = 0. Suppose 3*d = 3*s - h, 4 = 2*d - 2. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -120024?\nAnswer: 120034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1969 divided by 12.\nAnswer: 1969\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/14 - 1\/7. Let t(i) be the second derivative of 4*i + 0 + j*i**3 + 2*i**2. What is the first derivative of t(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*g + 107*g - 38*g - 37*g + 93*g**2.\nAnswer: 93*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**3 - 32*n**2 - 1715*n - 221. Determine j(-17).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 508 and 9244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 + 3*z. Let x = 12 + -12. Let w be 15\/1 - (-1 - 3 - x). Let a = w - 17. What is t(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/60 + 5*o**4\/8 + 7*o**3\/6 - 6*o**2. Is 18 a factor of c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2469, -3 in decreasing order.\nAnswer: 2469, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 + 2*p. Let q(l) be the first derivative of -7*l**3\/3 - 5*l**2\/2 - 19. Calculate -5*f(v) - 2*q(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175673.\nAnswer: 175673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -113999556, -227999119, -341998686, -455998257, -569997832?\n\"Answer: -2*p**2 - 113999557*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55*(288\/20)\/(-6). Round b to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {v: 3, e: 3, f: 3, o: 1, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2964356, 5928718, 8893078, 11857436, 14821792?\nAnswer: 17786146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 - 2*g**2 - g**2)*(5*g**2 + 8 - 8)*(1 + 0 + 0) to l + k*g**4 + x*g**2 + p*g + n*g**3 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**5 - 1371*a**4 - 140292*a**3 - 4957200*a**2 - 58926528*a = 0. Calculate a.\nAnswer: -1263, -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 14. Is 9 a factor of 36 - w*(0 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (174\/(-4))\/(12\/(-16)). Let a = 32 + v. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*q - 48, 4*u - 54 - 66 = -5*q. Suppose 5*g = 2*c - 0*g - q, 3*c + 6 = -3*g. Solve c = h + z - 0, -3*z = -4*h + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 22, 60, 128, 238, 402, 632, 940?\n\"Answer: 2*t**3 - 3*t**2 + 15*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, -434, -1617, -3884, -7589?\nAnswer: -13086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 223 - 244 + 9 + 106 - 2*z**2.\nAnswer: -2*z**2 - 373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 305 (c) 1 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**4\/12 + f**3\/2 + 3*f**2\/2 - 3*f. What is g(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -370*u**3\/3 - 279*u**2 + 4328. What is the second derivative of g(x) wrt x?\nAnswer: -740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*w + k - 15, 0 = -2*w + 2*k - 6. Is ((-1106)\/w)\/((-3)\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75.3 + -75.301555. What is n rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 7 (b) 5 (c) -15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-32)*16\/4*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 379 by 7.\nAnswer: 379\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1113 (b) 370 (c) 2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(-19 - 16*c + 19)*(-c + 2*c + 0*c).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v\/((v*(v**(2\/19)\/v)\/v)\/v))*v))\/(v*v*v**(-20)*v))**(-46) assuming v is positive.\nAnswer: v**(-17388\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60923 - -60918. Let h(l) = -l**3 + 4*l**2 - 2*l - 1. Let u be h(2). Which is the nearest to u? (a) j (b) 1\/6 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddbdddbdddbddbbddd. Give prob of picking 3 b.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 9072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-164)\/90 - -1) + (-1515)\/(-135) + -11. Sort 4, 0.3, l, 27\/2 in ascending order.\nAnswer: l, 0.3, 4, 27\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and -317916276822?\nAnswer: 317916276822.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -94. Suppose 0 = -2*n - 2*n - v. Calculate the remainder when (-3)\/((-15)\/n + -2) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321 divided by 80.\nAnswer: -321\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -63*q + 1. Let v be k(-5). Let a = -231 + v. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -5.7?\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1780612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/1*-4 - 0. Suppose 5*n - 2*n = f. Let j = 0.07 + 0.03. Put 2\/5, n, j in ascending order.\nAnswer: j, 2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9018655l to millilitres.\nAnswer: 901.8655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:14 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -3465?\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 59294974 <= 59294974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 - 9 = 0. What is the remainder when 48 is divided by (-3 - i) + 6\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + f - 2930 - 11785, 3*t + 4*f - 8829 = 0. What are the prime factors of t?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53320 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j - 403*j + 12680 = 193*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b**2 - 13*b - 20. Let w(s) = -5*s**2 - 6*s - 11. Let x(v) = -3*f(v) + 5*w(v). Determine x(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87376 divided by -21844.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n - 4. Let i(b) = b. Let r(q) = 5*i(q) - z(q). Let m(l) = -7*l + 9. Calculate -4*m(p) + 9*r(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 - -7) + -2 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.01 + -0.01. Which is the closest to -1? (a) n (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.2 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47664 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5*s - 6*s)*(-s**2 + 5*s**2 - 3*s**2).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86771 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 -d + 30 = -5*r, 5*d + 6 = 8*d - r. Let v(g) be the first derivative of 1\/2*g**2 + d*g + 46. Let c(b) = 16*b. What is v(c(f))?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2827 = -2824 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 11*g + 26. Let v be c(6). Suppose -6*p + p = d - 10, -7 = p + 2*d. Put v, 0.07, p in decreasing order.\nAnswer: p, 0.07, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44502148615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266577.\nAnswer: 3, 17, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(252) + 5 - sqrt(252)) + 1 + 3)*-2)**2.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -676*x + 1354*x - 24150*x**2 - 678*x to the form d + n*x**2 + g*x and give n.\nAnswer: -24150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-196)\/14)\/((-2)\/(-1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 152*l - 114. Calculate the remainder when n(7) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1100111?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204459707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-9) - (-8)\/3. Let b = 2201 + -2206. What is the nearest to u in b, 3\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:12 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (345639\/6213 + (-155)\/5).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34841?\nAnswer: 34841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.90733 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - x + 2 + 0 - x.\nAnswer: -14*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d - 35. What is p(-4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a + 148. Calculate w(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77 in -2\/5, 0.3, 7\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-3) - (2 - 5). Let s = z + -1. Solve n = s*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 4223479, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/((-40)\/(-50))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/20 + 19*l**2. Let q(p) be the second derivative of p**4\/6 - p. Give d(q(w)).\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102419 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -38.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/11? (a) 0.3 (b) 1 (c) 5 (d) -4 (e) -10093716\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25124632.\nAnswer: 2, 13, 31, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-4) + (12 - 3). Suppose v + 3*w = -6, -d*w = 15 + 10. Solve -4*c - 25 = 3*s, -2*s + s + v = -3*c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 548 - 776?\nAnswer: -22e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 0, 2*r - l + 8 = l. Let a be (-25)\/(-10) - 2\/r. Suppose -n = -j + 18 + 8, -5*j = a*n - 130. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 7*q**2 - 2*q - 7. Let r be c(6). Let t = r + 24. Let u = -24 - t. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 2*j + j)*(29 - 4 - 4) + 9 - 6 - 3 - 76*j - 415*j.\nAnswer: -533*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*v + v. Let u be (-153)\/v - (-1)\/(-2). Let h = 41 + u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6 = 5*s, -4*s = -0*s - 8. Let o = 2 + 4. Let j be (-4 + o\/2)*-3. Solve v + 2 = j*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.2111 millimeters in centimeters?\nAnswer: 69.52111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*k + 3 - 5*k - 3 to m*k + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 442 + 66 = 0. Let l = t + 298. Suppose -l = -0*q - 5*q. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 5*j + 22, 4*s - j = -4*j + 27 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 3*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4880 and -3?\nAnswer: -14640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.192 + 8.\nAnswer: 7.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4039.1 + -4039. Which is the biggest value? (a) w (b) -48 (c) 22 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/49))\/d*d)\/d**14*(d\/(d\/(d*d**(-4))))**(2\/13) assuming d is positive.\nAnswer: d**(-8601\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) -0.5 (c) -1\/36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2668*-0.1\nAnswer: -266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 14. Let u be 4 - -1 - (29 + -6). Let q be c(u). Let k be 0 + (-1 - 6\/(-1)). Solve 2 = k*p - q*b - 3, -5*b = -2*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 15*r**2 - 13*r + 27. Let p be h(-14). Let s = p - 11. Factor 10*z**2 - 16*z**3 - 118*z**4 + 0*z**2 - s*z**2 + 112*z**4 + 18*z**5.\nAnswer: 2*z**2*(z + 1)*(3*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)\/(a*a**(3\/4)\/a))\/(a*a\/(a\/(a**0*a))*a*(a\/a**(-9))\/a))\/((a**(-1))**(2\/109))**(-50) assuming a is positive.\nAnswer: a**(-18313\/1308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -286, -1832, 0, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10110111 (base 2) to base 12\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Let h(p) = 2*p + 11. Let v be h(-5). What is the remainder when v*-11*(-2 - -1) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v + 7717 - 7717.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*m = 170, -3*o + 2*m = -2*o + 50. Let a = o + 76. Suppose -f = 2*v - a, 7*v = 3*v + 5*f + 58. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -24. Suppose 2*g - 64 = 4*u - s, 0 = g + 2*u - 44. Suppose -5*p = a - 16, -5*a + 0*a = 2*p - g. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72*j + 28*j + 118*j)*(-47 + 30*j**2 + 39*j**2 - 68*j**2) in the form n + a*j**3 + q*j + y*j**2 and give a.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -73, -113, -157, -205?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -484 - 1200 + 37*s**4 + 12*s**3 - 3*s**3 - 8*s**4 with respect to s.\nAnswer: 116*s**3 + 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181378, -182792, -185156, -188476, -192758, -198008, -204232, -211436?\nAnswer: -219626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 7072 = -3*i. Let k = i + 550. Solve 5*c = -4*w + 9, 4*w + 0 = -2*c + k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 - d**2 - 2. Let s be 10\/4*40\/(-50). Let o(y) = y**2 - y + 2. What is the least common multiple of t(s) and o(-4)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2062718*k**3*n + 9*k**3*p**3 - k**3*p - 11*k**2*n*p**3 + k**2*p**3 - 3*k**2*p + 2851*k*n*p**3 + 2*k*p + 2*n*p + 27*p**3 wrt k?\nAnswer: 12376308*n + 54*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1645*u**2 + 1645*u**2 + 38*u**3.\nAnswer: 38*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -694, -692, -680, -652, -602, -524, -412?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 8*l - 16. Let t(g) = -1. Let o(h) = -q(h) + 5*t(h). Suppose -p + z = -9, -29*z + 27*z = -3*p + 27. What are the prime factors of o(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 10) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f6b - 28?\nAnswer: f43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.369 less than -0.5?\nAnswer: -0.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 92\/7, 361?\nAnswer: 92\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*p + 7*u - 2*u, p + u - 4 = 0. Suppose -5*k - 5 + 0 = 0. Calculate the lowest common multiple of (0 + -3)\/k + -1 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 176 + -72 + -76.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 2 (c) -4\/5 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367497 is divided by 183026?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12579261 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 728 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469147808 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 1)\/(-1) + -15. Let d = -46.346 - -46.546. What is the third biggest value in d, -0.1, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 3, -3 in decreasing order.\nAnswer: 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1871969 is divided by 896?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2 - q. Let o(a) = -a**3 + 5*a**2 - a + 6. Let l be o(5). Let i be m(l). What is the units digit of (3 - i)*(-356)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/38, -5, 2 in descending order.\nAnswer: 2, -1\/38, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65268 and 28665?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5853 - 5858. Which is the closest to 2\/11? (a) -2\/9 (b) 3\/4 (c) -3\/4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0498655nm?\nAnswer: 0.0000000000498655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.075 * 0.2356.\nAnswer: 0.01767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -2*k - 8*k. Let u be 6\/(-48) + 3\/k. Find z, given that u*z**2 + 0 - 1\/4*z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167.2 and -164799930?\nAnswer: 164800097.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 8. Does 9 divide (-10 - -1)\/(-3)*q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 + (-1)\/(-1) - -1. Suppose 4*u = 6*u - g. What is the first derivative of 2 - 10 + 1 - u*m**3 wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + -3 + sqrt(63) + sqrt(63) - (sqrt(315)\/sqrt(5) + -1)).\nAnswer: -9*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/15*2\/8)\/((-22)\/(-990)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 108a + 2?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 36998000 to the nearest 100000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 257695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.022947ng to tonnes.\nAnswer: 0.000000000000009022947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -35*b**2. Let l(a) = 51655*a. Give x(l(u)).\nAnswer: -93388365875*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4301*h - 47799. Determine x(11).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 43834*i + 219209. Calculate x(-5).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + l - l)*(-19 + 10 + 6).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -5, 3, 4, -1\/9 in increasing order.\nAnswer: -43, -5, -1\/9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 0*b**2 + 6*b**2 - b**2 + 4 + b**3. Let q = -194 - -191. What is the remainder when 65 is divided by f(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 284 (b) -1\/2 (c) 6\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.025 in 5, 0.4, -4, 3, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232965.\nAnswer: 3, 5, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688303?\nAnswer: 7, 11, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4330*f + 79896 = 1001*f for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/99 + -31\/99. Let b = 0.97 - 1.37. Is b >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*o - 100*o**3 + 5*o**2 - 5*o**2 - 130*o.\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44331033 - 1?\nAnswer: 44331032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let q(o) = o**3 - 3*o**2 + 2*o - 1. Let t be q(u). Suppose t*s - 70 = -0*s. Calculate the highest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-987))\/(50\/75)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + (79*-40)\/(-2) + 0\/346 is divided by 86?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14912 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 is the common denominator of -125\/2346 and 13\/69?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 14 - 179*l**2 - 75*l**2 + 0 - 8.\nAnswer: -254*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let w be p(-9). Let c = 114 + -50. Does 5 divide (c\/(-24))\/(2\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5. Let z = -54.8 - -55. Suppose -4*k + 8 = 3*c - 5*c, 2*k - 3*c - 4 = 0. Sort z, k, g.\nAnswer: z, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 13*o**2 - o - 3. Let v be g(-13). Let r = -9 + v. Is 144 - 1\/(r - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 10 = 4*y. Suppose y = 10*i - 6*i. Suppose -8 = -3*c + i. Solve c*k - 16 = -4*v, -2*v + 3*v - 4 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let h(n) = 0 - n**2 - 2 - y + 3*n + 1. Calculate h(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5356870515 + -14.2?\nAnswer: 5356870500.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.17, 531, 8, 2 in decreasing order.\nAnswer: 531, 8, 2, -0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -124*z**2 - 123*z**2 - 119*z**2 - 124*z**2 + 527*z**2. Let j(k) = 240*k**2. Calculate -5*j(v) + 32*w(v).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 258*j**3 + 189 wrt j?\nAnswer: 774*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aabbaabaaba. Give prob of picking 3 a.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 81 = 1. Let t be v\/(-42) + 4\/(-14). Let n = 0 - 1. Which is smaller: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-4)*4 - (1449\/147 + -1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -624029, 3, -5 in increasing order.\nAnswer: -624029, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32437 + -161098\/5. What is the biggest value in q, -1, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 0 = p. Let b = 8 - 5. Suppose -j - p = -4*c, -b*c + c + 4*j = 4. Solve c*m = -0*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24315144 divided by -8105048\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 108161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -131, -172, -233, -320?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)\/((((f*f**(-7))\/f)\/f)\/f))**(2\/7)*(f**(-2\/5)\/f**(-7))\/(f**(-2))**17 assuming f is positive.\nAnswer: f**(1401\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 49*n**2 - 5. Let m(q) = -612*q**2 + 63. Let d = 1090 + -1095. Calculate d*m(t) - 63*c(t).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**4 - 16*s**2 + 388*s**3 - 384*s**3 - 31 - 478*s + 476*s to f*s**2 + p*s**4 + u*s + t + b*s**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q - 7342 + 22*q - 86*q + 7342.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 20*y + 28. Let w be (21 - (0 + -8)) + (-11 - 0). Give f(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -148 and -163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 24 + 28 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -0.5 (c) 3\/8 (d) 2.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2. Let k(b) = -2*b**2 + 0*b**2 - b**2 + 2*b**2. What is k(a(w))?\nAnswer: -25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/20)\/((-3)\/(-10)). Suppose -30 = -d*r - r. Let t(n) = -n**2 + 7*n - 2. Calculate the lowest common multiple of r and t(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 6*d**2 + 6*d - 3. Let k be m(5). Solve 0 = -k*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 1113 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 17 = 6*v. Suppose 4*r + 425 = 3*c, -4*c = r + v*r + 460. Let o = r + 126. Calculate the highest common divisor of o and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 3. Let s(r) = -8*r - 9. What is -17*q(h) + 6*s(h)?\nAnswer: 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 3\/2 (b) -0.07 (c) 0.12 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-157 - -161)\/(20\/(-105))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266815690*l**2 + 5*l - 266816957*l**2 - 5*l.\nAnswer: -1267*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-295)\/20 - (-2)\/8. Let l(d) = -d**3 + 8*d**2 - 11*d - 3. Let k be l(6). Suppose -4*a - 16 = -k*a. Is a at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198603967399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -465.01 + 467. Let x = v - -56.01. What is the nearest to x in 2, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1546044585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 8. Let i be s(-10). Let z be (-1 + 1)*-1 + 8. Suppose -z - 60 = -i*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence momm when four letters picked without replacement from {m: 5, o: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -16 - -14 - 1*3 - -305. Suppose 25*u = 21*u + o. What is the greatest common divisor of u and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - -4 - (-2 + -8479). Suppose 2483 = j + u. Round j to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 7. Let h = -6 + 1. Let m(y) = -4 - 802*y + 1774*y - 976*y. Give h*m(w) - 3*i(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -14*o + 9. Let b = 15 + -4. Let h(n) = 5*n - 3. Give b*h(i) + 4*v(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t - 30. Let y be g(-10). What is the highest common divisor of y and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 18 + -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 24192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -2. Solve 7*g - 2*g + 22 = -a*d, 2*g = 5*d + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5 + 280*r**4 - 264*r**2?\nAnswer: -120*r**2 + 6720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 4*c + 2. Calculate f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 95127.04 to the nearest 1000.\nAnswer: 95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/10 (b) -8 (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1998, -7858, -17616, -31272, -48826, -70278, -95628?\nAnswer: -124876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l. Suppose -5*g - 15 - 5 = -2*c, -3*c - 2*g + 11 = 0. What is the remainder when c is divided by d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/5 + 92*p**2 + 16*p\/5 - 368.\nAnswer: -4*(p - 115)*(p - 2)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 1:25 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9520 = -19*l + 5*l. What is l rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9692\/15 - 646. Which is the third smallest value? (a) d (b) 1\/2 (c) 77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 5 (b) 0.4 (c) 0.2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 577 and 109136\/189 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**4 - 3450*w**3 - 13740*w**2 - 13720*w = 0 for w.\nAnswer: -686, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t + 16. Let o be k(-4). Let r(g) be the third derivative of 1\/20*g**4 + 0*g**3 + 1\/100*g**5 + 4*g**2 + o + 0*g. Factor r(x).\nAnswer: 3*x*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142070872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*x + 55 = 0, -5*k - 3*x - 70 = 2*x. Let v(w) = w**3 + 13*w**2 + 4*w + 7. Give v(k).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 14, -2\/5, -1\/17 in decreasing order.\nAnswer: 14, -1\/17, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25031, -24904, -24689, -24386, -23995, -23516?\nAnswer: -22949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:23 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 12.04. Let r = w + 0.04. Is -0.1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 27 = -3*t, -5*i - 3*t - 2*t + 30 = 0. Let x = -7 + i. Suppose x = -0*y + y. What is the lowest common multiple of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158 by 2.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 405*t**2 + 55*t - 55. Let m(v) = 29*v**2 - 15940*v + 31888*v - 15944*v - 4. Give -55*m(j) + 4*u(j).\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1380 by -6.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8960\/(-1024) + 1 + 8. Put 3, t, -1, 1, 2\/7 in descending order.\nAnswer: 3, 1, 2\/7, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5 + 7*i**4 + 14*i**3 + 2*i**2 - 15*i - 9 = 0. Calculate i.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*(-274)\/(-1644)*81\/5*-5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/9, 5\/3, -2, 29\/40, -0.067?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 26. Let x(i) = o*i + 2*i - 3*i - i. Let f(b) = 2*b. What is f(x(a))?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -20. Suppose v*r + 2*d - 2 = 0, -4*r = 2*d + d - 8. Let q(f) = -3160*f**3 + f**2 - 4*f - 5. Let k be q(r). Round k to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14134 - -103113?\nAnswer: 44535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538*c - 1883 = 807*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*c + (0*c - c + 3*c)*(1 + 0 + 1))*((0 + 0 + 1)*(26 + 10*c - 26) + (3 - 1 - 4)*(4*c + 2*c - 4*c)).\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 (base 9) in base 5?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2557\/2 - 1331. Let f = r + 51. What is the second smallest value in -26, f, 1\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3906 and -25\/5642?\nAnswer: 50778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 6*b**2 + 8*b - 2. Let r be c(7). Let t(a) = a**2 + a**2 + 3*a**3 - r*a**3 + 2. Let j = -2 + 4. Determine t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 - 34*u**2 + 0*u**2 - u - 4*u**2 + 16*u**2 - 2*u.\nAnswer: -13*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -865 - 3351 = -17*b. Factor -b*c - 307*c**2 - 13*c**3 - 48 - 34*c**3 - 3*c**3 - 33*c**2.\nAnswer: -2*(c + 6)*(5*c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -5990.\nAnswer: 1\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3430 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05295 + -0.0631. What is v rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10460 is divided by 947.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/5 + 4*q**3\/5 - 11*q**2 + 10*q.\nAnswer: q*(q - 5)*(q - 1)*(q + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20814211.\nAnswer: 11, 1163, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/120 + 13*v**5\/60 + 7*v**4\/8 - v**3\/3 + 7*v**2 - 1. Let n be k(-2). Suppose -b = -1 - 1. Solve y + n = b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 - 2008*v + 1990*v - 3*v**2 to a*v**2 + d + h*v and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 5*g + 1. Let v be p(-5). What is the second biggest value in v, 3\/8, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 73 = 14*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/16)\/(401\/12832)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4802*n**4 + 676592*n**3 + 24134448*n**2 + 21264320*n + 4743200.\nAnswer: 2*(n + 70)**2*(49*n + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1891 divided by 5\nAnswer: -1891\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27269669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (0 + 1)*3. Suppose 0*w + 21996 = -2*z - 2*w, 43990 = -d*z - 5*w. Round z to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56.8 and -32.\nAnswer: -1817.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71683 = -4*n - 7895683. Round n to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17176 and 39444.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -74*k**2 - 2*k + 1. Let z be r(1). Calculate the remainder when z\/(-4) - 4\/(-16) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d*d**(-7\/6))\/d)*d*d)\/d*d*d*d)\/d**(-2))\/(d*d**(3\/7)*d**4) assuming d is positive.\nAnswer: d**(73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to -421772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114\/1505 - -91888\/1268715. Let x = h + 48148\/113805. Find the common denominator of x and -88\/15.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5\/192, 0, 25769\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1481 + -1482. Let j = 2 + 2. Which is the third smallest value? (a) z (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -34.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 6, -2*i + 0*i + 5*v + 39 = 0. Calculate the least common multiple of i and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 3376.2724?\nAnswer: -3378.2724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.92 - -1.033. Let f = x - -1.887. What is the nearest to f in 0.2, -1\/5, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12657 = -11*r - 810. What is the remainder when r is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 2094.\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14233577 divided by -2939.\nAnswer: 4843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -3 - (-1907 + 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2210 divided by 5.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/60923912 and -55\/63.\nAnswer: 548315208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.101941l?\nAnswer: 5101.941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:40 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11, -3\/4, -0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 23344*p**2 - 34035540*p - 68164488.\nAnswer: -4*(p - 2919)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 96*m + 18. Let a(d) = -38*d - 7. Let u(v) = 18*a(v) + 7*k(v). Let q(f) = -14*f. Give q(u(g)).\nAnswer: 168*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603.0508ng to kilograms.\nAnswer: 0.0000000006030508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*((-4)\/12)\/(4\/6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**2 - t + 20. Let k be h(11). Suppose 0*o + 5*o - k = 0. Suppose 5*q + 12 - o = 0. Calculate the lowest common multiple of 33 and q.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*u - 7*u**3 - u**4 + 11*u + 6855*u**2 - 6854*u**2 in the form p*u**4 + n*u + v*u**2 + b*u**3 + a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 2. Let o be t(5). Let s(g) = -2*g**3 - 4*g**3 + o*g**3 + 3 + 3*g - 3*g**2. Is s(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 217*j**2 - 312*j - 964. Determine v(107).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.026 (b) 4 (c) 0.1 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 56, 5*r - 3*t = 10*r + 31. Put -26, -4, -1, 5, r in increasing order.\nAnswer: -26, -4, r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1151.3 - 1151. Let w = 3.4 - 3. Which is the third smallest value? (a) w (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102335 by 20467.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -16\/3, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 3. Let u be w(-3). Suppose -4*h + u = 25, 0 = 4*y + 2*h - 564. Suppose k + 1 = 0, -2*c = k + 34 - y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5006675 <= 5006671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22*18\/(-45)*(17685\/12)\/(-9)?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - a = 71797, -5*n = 3*a - 76798 - 102678. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 + 13*s + 133. Determine d(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i + 1. Let b(r) = 1 - 1701*r - 2 + 1709*r. What is b(u) + w(u)?\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008576472604 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75166.51cm to micrometers.\nAnswer: 751665100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83258.\nAnswer: 2, 7, 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-133)\/(-98))\/((-2)\/(-8)) + 648\/1134. Suppose r*g**3 - 9*g + 3\/2*g**4 + 0 + 3\/2*g**2 = 0. Calculate g.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*l + 1072 = 55*l. Find the first derivative of l*w**2 - w**3 - 24 + 0*w**3 - 1061*w**2 wrt w.\nAnswer: -3*w**2 + 22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10743 at least as big as -10744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 17*o - 53. Let q be a(-27). Let b = 318 + q. Suppose 193 = -4*h + b. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(108)*3)**2.\nAnswer: -2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -50*y**3 - 2170*y**2 - 729553*y.\nAnswer: -300*y - 4340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11038979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16530 is divided by 8169.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.45 - 6.45. Suppose 5*y = 3*p + 87, 2*p + 2*p = -4*y - 148. Let j = p - -23. Which is the smallest value? (a) n (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 601*t**2 - 602*t**2 - 47*t**3 - 72*t**3 + (0*t + 0*t + t)*(14 - 14 - 9*t)*(3 - 3 - 2*t) as u*t + z + y*t**3 + g*t**2 and give y.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 209944*l\/3 + 139964.\nAnswer: -(l - 209946)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 14555*p - 3. Determine k(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 232326, 231969, 231374, 230541, 229470, 228161, 226614?\n\"Answer: -119*k**2 + 232445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * -0.03.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**5 - 9*y**4 + 11*y**3\/3 + 23*y**2\/3 - 20*y\/3 + 4\/3 = 0. What is y?\nAnswer: -1, 1\/3, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 28*d = -4*r + 18, -5*r = d - 18. Solve d = -9*t + 12*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 71*x - 230. Let h(r) = 9*r**2 - 143*r - 456. Let v(p) = -13*d(p) + 6*h(p). What is the first derivative of v(f) wrt f?\nAnswer: 4*f + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34784470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a century in months?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h**(-1)\/h)))\/h)**(-22)*h**5*h*(h\/(h\/(h**(1\/3)*h)*h))\/h)**(-6\/7) assuming h is positive.\nAnswer: h**(-428\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(3)*4) - (sqrt(2) - (-1*sqrt(14))\/sqrt(7)))*-5.\nAnswer: 35*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 2*(-15)\/(-10) + (-322)\/(-23).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 42. Let j = n - -11.7. What is the smallest value in 2\/15, j, 2\/17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and -1*6*(-44)\/33?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f + 5*f**3 + 0*f**3 - 8*f**3 + 76*f + 86*f - 149*f.\nAnswer: -3*f**3 + 57*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**30*w**(8\/7))\/(w**(-14))**26)**(1\/6) assuming w is positive.\nAnswer: w**(2353\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122430.\nAnswer: 2, 3, 5, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooaaooooo?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -183, -417, -823, -1407, -2175, -3133, -4287?\n\"Answer: -k**3 - 80*k**2 + 13*k - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/7 (b) -0.34 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3))**(-50)\/((o\/(o**(-7)*o))\/o*o**(-5)))\/((o\/o**(-2\/9))**1)**(-2\/5) assuming o is positive.\nAnswer: o**(-1523\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 80 = -2*x - 3*x, 2*x = -3*j - 33. Let u be (8\/10)\/((-6)\/x). Does 10 divide (u + -5 - -1) + 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 930159.9 weeks to microseconds.\nAnswer: 562560707520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17207?\nAnswer: 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = 0, -4*t + 44150 - 4074 = 4*o. What are the prime factors of o?\nAnswer: 11, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199796825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 24*r - 686 + 686 + 13*r - 3*r + 2*r**2 = 0?\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48903486?\nAnswer: 2, 3, 557, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*i**2 + 168*i**2 + 29*i**2 - 953*i**3 + 1619*i**2 wrt i?\nAnswer: -5718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2988*r. Let g(b) = -b**2. Determine g(y(l)).\nAnswer: -8928144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.71273 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*m = 475*m + 466*m - 234 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384315116.\nAnswer: 2, 96078779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhommeohohhe. Give prob of picking 1 m and 1 o.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -10*z - 3*f, 297*z + 300*z - 17 = 600*z + f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 25*n. Let i(l) be the third derivative of -l**5\/60 + 7*l**3\/6 - 21*l**2. Let h(m) be the first derivative of i(m). What is h(t(d))?\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 2, f: 2}. What is prob of sequence ffr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 15*u - 13. Let n be y(-17). Let f = -1 + n. Suppose 5*i + 12 = 3*p, 5*p + 0 = -3*i + f. Solve 0 + 6 = p*r - 2*h, 0 = -r + 2*h + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 599650010 and 7580.\nAnswer: 3790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -294 + 294 - 11*j**3 + (j - 2*j + 2*j)*(2 - 2*j**2 - 2) in the form r*j + q + y*j**3 + u*j**2 and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 2*c**3 + 3*c**4 - 18*c + c**5 + 6*c + 0 - 11*c**2 - 3*c**3.\nAnswer: (c - 2)*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, -3\/4, -0.4, -9 in descending order.\nAnswer: 2, 0.1, -0.4, -3\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 19. Give w(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9)\/(7\/(-189)). Suppose 0 = -3*t + p, -3*x - 2*t + 3*t = -1839. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 6 - 12. Is ((-28)\/w)\/(22\/4191) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -3671*p**5\/60 + 7*p**4\/8 - 127*p**3\/6 - 4*p**2 - 393*p. Find the second derivative of g(m) wrt m.\nAnswer: -7342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 take away 4.0950428?\nAnswer: -1.5950428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 2*d - 6, 9*v = 4*v - 3*d - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21\/16? (a) 3.2 (b) -11 (c) -4 (d) -0.6 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 12, j: 1}. What is prob of sequence yyjy?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 13*d**5\/12 + 31*d**4\/12 + 84*d**2. Find the second derivative of t(c) wrt c.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99860 is divided by 413?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1104015 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h*(h*h\/h**15)\/h)*h*h*(h\/(h**30*h))\/h assuming h is positive.\nAnswer: h**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1621, -1623, -1625, -1627, -1629?\n\"Answer: -2*l - 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(21\/(-448))*(-1)\/2. Let z = -28 - c. Suppose 0 = 3*y - 3, -10907 = b - z*b - 2*y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose 3*z + k = 4*z. Let w be (2 + 0)\/(1\/z). Solve -o - 25 = w*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828015987463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/63, 2, 0.056, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 507680019 and 1254?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 2*k**2 - 3*k**2 + 3*k**2 - 3.\nAnswer: 3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328057 and 2624456?\nAnswer: 2624456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-30)*6*39\/((-3315)\/1598)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3.2 (b) -6.43 (c) -0.5 (d) -1\/112 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-6)\/19678))\/(11\/(-22)) 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 beeeeeebbee. Give prob of sequence ee.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 22*a + 69. Let r be v(-3). What is the second derivative of -58*k - 17*k**4 + 153*k**r - 154*k**3 + 4*k**4 wrt k?\nAnswer: -156*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -174, -192, -228, -288?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/26496 and 17\/31104.\nAnswer: 715392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-15))\/(-4) - 1\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3757233 to the power of 1\/2, to the nearest integer?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.0574, -0.1, 1\/4, 1, 15.11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 + 55*v + 14. What are the prime factors of q(10)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1605, 6426, 14467, 25734, 40233, 57970, 78951?\nAnswer: 103182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 5*m**2 + 3*m - 3. Let g be z(-4). What are the prime factors of g*(1 - (-71 + -1))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-129)\/4)\/(-1)*12. Suppose -114 = -3*y - 74*p + 71*p, 5*y + 2*p - 205 = 0. What is the greatest common divisor of y and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2.9. Suppose 0 = -6*f + 8*f, 0 = -4*p - 2*f. Let j be (3\/33)\/(2\/(-4)). Which is the second biggest value? (a) w (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 5*v + 2. Let o be j(6). Suppose -3*k = -3*u + 15, -k + 12 = 4*u - 23. Calculate the smallest common multiple of u and 3\/(-1) + (o - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78425317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-5))\/(4\/(-10)). Find the common denominator of 123\/10 and ((-1)\/d)\/(42\/552).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 6:59 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191 - 163. Solve -3*i - v = -4*n, 0*i + 4*i = 2*n - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613 is divided by 130?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138421077.999959 - -138421021. Let w = 41.8 + 15.2. Let p = j + w. Round p to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*n + 395801 - 409325 = -156*n for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.942346km?\nAnswer: 9942346000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 - 20*b + 16. Let f be v(6). Put 3, -1, -3, f in descending order.\nAnswer: f, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*y + 36, -5*o - 5*y + 107 - 37 = 0. Let j be ((-4)\/o)\/((-4)\/20). What is the third derivative of -j*m**3 - 2*m**2 + 3*m - m**2 - 3*m wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(6)*-1))\/(sqrt(400) - 2*sqrt(400)) + -3 + 4.\nAnswer: sqrt(5)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -14*h + 117. Let t be f(25). Let k = 370 + t. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-14)\/(-21)*(-9)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791352 is divided by 32973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 - 4 - 7)*(-2 + 2 - 3*m) - 3 + 3 - m + 3*m - 7*m - 6*m)*(4 + 2 - 5)*(1 - 1 + m).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -6, -89, -3 in decreasing order.\nAnswer: 51, -3, -6, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 3. Differentiate 0*z + 3*z - f + 6 wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12 = u. Solve -4*m - 5 = 5*l, 0 = 5*m - u*l + 24 + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4*z + 2269*j**3*z - 3*j**3 + 1639*j**2*z wrt j.\nAnswer: -48*j*z + 13614*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140907835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5506662 and 12117?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z\/(z**30*z))*z**(-2\/33)*((z\/(z\/z**(-20))*z)\/z)**(-2\/67) assuming z is positive.\nAnswer: z**(71938\/2211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 2\/9 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2876 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1423, -1, 6, -4.\nAnswer: -1423, -4, -1, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7143196535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826059 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: Let o(d) = -2*d**3 + 2*d**2 + d. Let r be o(2). Let a be 6\/4*(-104)\/r. What is the greatest common factor of 26 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76 + (-2170)\/28)\/((-2)\/6)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246436410 a multiple of 960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 - 2*v**4 + 3*v**4 + (-1 + 1 - v**4)*(-4 + 0 + 1) + 138*v**4 + 452*v - 452*v to h*v**2 + c*v**3 + q + l*v**4 + a*v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-3*u + 3*u + u) + (1 - 2 + 3)*(-8*u - 8 + 8).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1114 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: Solve 5*w = -p - 4, -6*p - 3*w - 4 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/(-171) + 304\/(-9). Let r be (17\/c)\/(2\/44)*-1. Solve 4*d + r = 3, 4*d + 17 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 not equal to -61087836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/10 and (2*(-74)\/104)\/(2\/(-1))?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -10*c**3 - 4*c**4 + 14*c + 2*c**4 - 6*c**2 - 1 - 4*c + 9 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 0.5, 3\/2, -40029, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3 - 1289463*o**2 - 5157891*o - 3868425 = 0.\nAnswer: -3, -1, 429825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**6\/15 - 11*d**3\/6 + 13*d. What is the second derivative of z(f) wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - 14ba8b?\nAnswer: -14ba77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-784))\/(6\/(-7))*(-224)\/(-4).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 897309*a**4 + 3589248*a**3 + 3589284*a**2 + 48*a.\nAnswer: 3*a*(a + 2)**2*(299103*a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*a - 48, d + 48 = 3*a + 1. Suppose 5*n + 20 = 2*x + x, 0 = 2*x - 4*n - a. Let y = x + 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*i**2 - 16*i**2 + 1 - 81*i**2 - 78*i**2 + 247*i**3.\nAnswer: 247*i**3 - 74*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 11*d - 13. Let z be s(-10). Let f be (1 + (-1)\/z)\/(4\/6). What is the third derivative of -24*b**3 + 25*b - 25*b + 8*b**f wrt b?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 45. Suppose 4*q - 14 = -5*w - 170, 0 = 4*q + 16. What is n(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/(-180) + (-192)\/(-30) + -6. Which is the closest to v? (a) -1 (b) -28 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130456033 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17513.424 months?\nAnswer: 14.59452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4804031 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.23 - -0.43. What is the closest to 0 in g, 2\/7, -3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvny when four letters picked without replacement from {y: 3, v: 1, r: 1, a: 3, n: 2, s: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29713978061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 4.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -52, -85, -122, -163, -208?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 + 2 + (-12 - -10) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 3*b - 2. Let g(p) be the third derivative of p**5\/15 - p**4\/6 + p**3\/6 + p**2 + 9. Give -2*g(q) - 3*k(q).\nAnswer: q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**7\/4410 - p**6\/420 - p**5\/105 - 3*p**4\/8 + 14*p**2. Let x(i) be the second derivative of l(i). Factor x(w).\nAnswer: -4*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 74*d - 20. What is the units digit of n(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 + 2*a. Let k(q) = 6*q**2 + 3*q. Let d(w) = -3*h(w) + 2*k(w). Let j(r) = 13*r. Determine d(j(i)).\nAnswer: -507*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3 - 5857)*(-3 + 4). Suppose 4*b - 5858 = 3*x, m = 4*b - 8*x + 6*x. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 10:51 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -9*s - 113. Suppose 3*y + 298 = 2*x - s, x - 216 = -2*y. Does 31 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -152*u + 3662 + 2168 - 206 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 21 = u - 21, 0 = -l + 3. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5423 - -2597. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062675.\nAnswer: 5, 82507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 10) to base 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.6. Let s = -61 + 64. Let m = s + -5. Which is the second smallest value? (a) m (b) -1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 21 = 6*p. What is the common denominator of p and 83\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -16) + (-52744)\/3123\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q + 9. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610462.\nAnswer: 2, 305231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, -347, 5, -2 in decreasing order.\nAnswer: 113, 5, -2, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86946.4 + -86946. Let q(m) = -m**3 - 6*m**2 - 5*m + 2. Let w be q(-5). Which is the nearest to -0.3? (a) w (b) -2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51\/4 - 13. Let b be 18*89588\/176 - 3. Let q = -9161 + b. Find the common denominator of g and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 190 and 764.\nAnswer: 72580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from brpreeerebepereer?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14e0dd + -1e?\nAnswer: 14e0be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 278, -3 in descending order.\nAnswer: 278, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - -0.5. Let s = 115 + -67. Let b = s + -45. What is the nearest to m in 0, -1\/3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 13*n - 17*n + 280, 0 = n - 9*t. Solve -68*d + 30 = -5*h - n*d, -5*h + 2*d = 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:45 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*x**3 - 7*x**3 - 49*x**3 - 30*x**3.\nAnswer: -304*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8 + r**2 + 12*r - 12*r wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5129?\nAnswer: 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 171, 229, 287, 345, 403, 461?\n\"Answer: 58*d + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69529 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yknxn. Give prob of sequence yn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -104 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63451 divided by -593?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {b: 4, y: 5, e: 3}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j + 28. Let z(x) = -8*x + 29. Determine 8*l(t) - 7*z(t).\nAnswer: -16*t + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 8906.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18203.91 - 18203.8. Let h = 6.11 - 0.11. What is the closest to h in c, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 11*w - 20. What is the remainder when 55 is divided by g(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 37348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.35 + 0.85. Which is the closest to -0.2? (a) 2 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 11, 57, 139, 269, 459?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54858 and 607006.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1756 + -13. Suppose -6643 = -10*q - a. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2 + -1)*14. Let p = 1100\/9 - 9655\/72. What is the common denominator of p and -11*1\/(6\/d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1) + 102577\/25080. Let x = -116\/627 - o. Let t = x + 39\/8. Sort t, 3, -2\/11 in increasing order.\nAnswer: t, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2244\/1071*-7*3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 177.4 * 136.\nAnswer: 24126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32931+4\nAnswer: 32935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/21)\/(384\/448)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1564\/25, -5\/4, -2 in ascending order.\nAnswer: -1564\/25, -2, -5\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*p - p - 1, -5*p = -5. Let n(f) be the first derivative of 2\/5*f**k + 0*f - 2\/3*f**3 + 1\/2*f**2 + 0*f**4 - 8 - 1\/6*f**6. Factor n(t).\nAnswer: -t*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 420.552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20679116438 - 20679116329.80000607. Let p = i - 108.2. Round p to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 33. Let h = q + -10. What is the smallest common multiple of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/3 - 4402*s\/3 = 0.\nAnswer: 0, 2201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 332 or 24?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/(16\/(-6)). Let m be (144\/30)\/(3\/(-10)). Let z be ((-12)\/(-14))\/(m\/140*-10). What is the second smallest value in q, z, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/137 or -8374270?\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (-2 - (-2 - 2) - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + 10\/20. Which is smaller: 4\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -8*t - 22 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 13 + 7 - 5*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/17? (a) 0.4 (b) 3\/4 (c) -3\/25 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14262?\nAnswer: 2, 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01286 - -4.01286. Sort 3, -1, q, -8, 2 in increasing order.\nAnswer: -8, -1, 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/15)*(a**(-2)\/a)\/a*a)**(4\/3) assuming a is positive.\nAnswer: a**(-196\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19 - 46 + 110*v**4 - 63 wrt v?\nAnswer: 440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 >= 378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.132468 * 0.3.\nAnswer: -0.0397404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -830713*u**2\/2 - 18*u - 15. Suppose -10*o + 18 + 122 = 0. Let z be s(o). Round z to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -436 divided by 6\nAnswer: -218\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -5. Let w = 281 - 280.9564. Let z = w - 0.0536. Which is the second biggest value? (a) -2\/15 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20238 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -16*(-5)\/(-10) + 4. Let w be 108402 - 8\/n - (0 - -4). Round w to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13314571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9 - 107 = 0. Let p(r) = -r**3 - 7*r**2 - 10*r - 9. What is the remainder when g\/(-2) + 2\/(-2) is divided by p(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*k**3*t**3 - 816532*i*k**3 + 140*i*k**2*t**2 + 2929*i*k**2*t + i*k*t**3 wrt k.\nAnswer: -6*i*t**3 - 4899192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 4*g = -5*m, -3*m + 4 = 2*g. Solve m*f = 3*f - 2*k + 9, 2*f + k - 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1151*g - 1154*g - 1151*g + 3454*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8\/25 - -93\/100. Let p = 3.2 + -0.2. What is the second biggest value in j, 0.3, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, -16, -4 in descending order.\nAnswer: 3, 0, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-15))\/(26\/117*1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -206*o**2*u**2 - 5*o**2*u - 3*o**2 - o - 141*u - 75842 wrt u?\nAnswer: -412*o**2*u - 5*o**2 - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose 0*z = -3*f - b*z + 14, -2*z = -4*f. Let l(x) = x**3 - x**2 - 4*x + 3. What is l(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*a**3*v**2 + 2*a**3*v + a**2*v**3 + 18339307*a**2 - 100944*a*v**2 + 2*v wrt v?\nAnswer: 138*a**3 + 6*a**2*v - 201888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322322233 - 2133?\nAnswer: 322320100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 531*n - 206. Let t(j) = 1592*j - 620. Let c(q) = -14*i(q) + 5*t(q). What is the derivative of c(p) wrt p?\nAnswer: 526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 24412.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 + -8 + -1 + 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 19*p + 4. Suppose -11*a = -7*a - 4. What are the prime factors of g(a)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:56 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*r**2 - 40726*r**3 - 1 + 0*r**4 + 1 + 2*r**4 + 2 + 40728*r**3 to k + h*r**4 + v*r + o*r**3 + x*r**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -13*b**3 + 2062*b**2 + 788*b + 1096. Calculate y(159).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -220 + 120 + 101 + 121*b**2 as k*b**2 + j + f*b and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v*v**(2\/115)\/v*v)\/v*v*v**28*v assuming v is positive.\nAnswer: v**(3682\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -530*v = -536*v + 90. Suppose 59 = 5*i + r, 0 = 4*i + r - 33 - v. Solve 3*o - i = -14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 3, -19 in decreasing order.\nAnswer: 4, 3, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 225\/(-525) - (-6724)\/(-7). Sort -5, 0, j, -4 in ascending order.\nAnswer: j, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b0874 + -4?\nAnswer: -b0878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -12679\nAnswer: -2535.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 3*r**2 - 10*r + 10*r + 7*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*y + 175*y - 523*y.\nAnswer: -631*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012002110122 - 10?\nAnswer: -1012002110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 - 83. Suppose 48 = z*m - 12. Solve 5*w = m + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/(-20) - -1)*-2. Let t = 43 + -87\/2. Which is the biggest value? (a) t (b) 2\/23 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -657.2 + 656. Sort -0.4, -2\/7, s in descending order.\nAnswer: -2\/7, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.83 - -0.83. Which is bigger: -11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257282 and 185968.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 144.344 times -162\nAnswer: -23383.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10901 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 16 = 2*h, -298*h = -299*h - 5*k + 28 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 242*v**2 - 242*v**2 - 12*v**4 + (2*v - 2*v + 3*v)*(-3*v + 6*v - 4*v)*(1 - 1 + v**2) in the form w*v + d*v**2 + i*v**3 + o*v**4 + j and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1174943, 1174961, 1174983, 1175009, 1175039, 1175073?\n\"Answer: 2*g**2 + 12*g + 1174929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 27*v**2 + 52*v - 27. Determine u(25).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367 = -2*k + 3*c + 158, 2*k + 3*c - 531 = 0. Suppose -2*m = 4*m - k. Calculate the highest common divisor of m and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (318\/5)\/((-6)\/(-10)). Calculate the greatest common factor of o and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/540*27\/(-63)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20144329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39542*u**4 - 28*u**2 + 5558386*u.\nAnswer: 474504*u**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) - (-5*-2*sqrt(1728) - sqrt(1728))) + sqrt(1728)*-1*5 + sqrt(1728))\/((sqrt(648)*-2)\/(sqrt(14)\/sqrt(63))).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/2 + -3)\/(-2). Suppose 508 = c*z - l, 2*z - 119 - 229 = -4*l. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*i - 8*i - 11*i as p*i + r and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.93 - -0.07. Let j = -6.9997 + l. What is j rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -863*-5.\nAnswer: 4315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**3 - z**2. Let j be y(1). Let q be 2 + 6\/((-4)\/2). Let v be (-36)\/8*4\/(-6). Put q, v, j in increasing order.\nAnswer: q, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*h + 62 + 44 = 0, -h = 4. Let u be (-18)\/99 - s\/22. Which is the third biggest value? (a) -8 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4549*b - 237120 = 3355*b for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2319 (base 16) to base 9.\nAnswer: -13283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**4\/24 + r**3\/3 - r**2. Let d(c) = -121 - 2*c - c + 115. Let m(n) = 3*d(n) + 8*f(n). Give m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1549703 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - m + 3942*m**2 + 3*m - 3944*m**2 - 18 to the form g*m**2 + n + t*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 54297 = -7*u. Suppose -u = 19*r - 17984. List the prime factors of r.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - ((2 + -1 - (-128 + 117)) + -2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5146577.1 nanoseconds?\nAnswer: 0.00000142960475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {g: 1, u: 4, k: 1, y: 1, l: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1863*d**2 + 2*d + 3. Suppose -w = 15*w + 32. Is j(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952 a factor of 209278748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 19*b - 60, -7*v - 2874*b + 13 = -2872*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20818497, 20818498, 20818499, 20818500, 20818501?\n\"Answer: y + 20818496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.56 - -1.44. What is the nearest to 3 in -3\/2, -4\/23, 4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73367725 is divided by 6563?\nAnswer: 6511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 11*w. Let f be m(-11). Suppose u - 2 - 8 = f. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 230?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v = 4*z - 43, 5*z - 2*v = 58. Let a be 12*(-2)\/(-4)*1. Calculate the highest common divisor of z and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(16*t + 22*t - 27*t)*(3 - 3*t**4 - 478*t**3 + 239*t**3 + 236*t**3).\nAnswer: 66*t**5 + 66*t**4 - 66*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1034062?\nAnswer: 413624.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 661*x = 656*x + 3010. What is the greatest common factor of x and 688?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2 + 51\/27). Suppose c = -2*l + 3*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 - 136*g**2 + 363*g**2 + 28*g + 58 - 102*g**2 - 126*g**2 = 0 for g.\nAnswer: 10, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30376639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + k + 3*k)*(-2 + k**2 + 2) - 4*k**3 + 69*k**3 + 5*k**3 as p*k**3 + i + j*k + l*k**2 and give p.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**2\/4 - 2563135*y\/2 - 6569661028225\/4 = 0.\nAnswer: -2563135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {s: 2, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1101111001000100111 (base 2) to base 7\nAnswer: 3604064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 1 - 1 + (-3*p**2 + 6*p**2 - p**2)*(3*p - p - p))*(-3 - 2*p + 3).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45428*o**5 + 7*o**4 + 3*o**3 - 170647*o - 6?\nAnswer: 908560*o**3 + 84*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/20)\/(6\/(-15))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 8\/(-28)) + 52324\/(-756) + (-290)\/3915\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = v + 5*a - 1, 2*v = a - 23. Let s(n) = n**3 + 9*n**2 + n + 21. Let u be s(v). Suppose -f = -2*w - 1, u = 2*w - w + 2*f. Solve 3*g + w*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 58*o + 43. Let w(y) = -20*y + 15. Let l(v) = 17*w(v) - 6*z(v). Let b(x) = x**2 - 1. Let a = -3 + -2. Let h(j) = a*b(j) - l(j). Calculate h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -2, -247 in increasing order.\nAnswer: -247, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_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: Suppose -5*h + 7 = 2. Let d = 23.01 - 13.28. Let y = d - 9.7. Is y smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/54210 and -145\/996?\nAnswer: 8998860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10a16a5 + -2?\nAnswer: 10a16a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 738281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 7 - (22 - -6 - 14)) + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - a3?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 24\/9)\/((-1)\/459). Suppose -17 = 3*n - 5*s, -3*n = 5*s - 2 - 21. Let f be -2 + n - (-2 + -16). Calculate the greatest common divisor of d and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*r + 49015 = 0, 28*k + 2*r + 147033 = 31*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21266676 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + d + 1. Let i(a) = -4*a**2 + 5*a + 4. Let t(k) = 2*i(k) - 9*y(k). What is the units digit of t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyttxxytt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 183204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 317*p + 2042. Let t(r) = 91*r + 681. Calculate -7*t(a) + 2*x(a).\nAnswer: -3*a - 683","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**4\/12 - 3*i**3\/2 + 7*i**2\/2 - 9*i + 19. Let f(y) be the first derivative of h(y). Calculate f(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58922864 divided by -3.\nAnswer: 58922864\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81875442 a multiple of 1862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96456600 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5323 - -5547. Put 1, -2, v, -1, 4 in decreasing order.\nAnswer: v, 4, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*f - 11 = 2*f, -b - 3*f = 10. Suppose g - 5 = -5*h, 5*g + 3*h = g + 3. Put g, b, -4 in descending order.\nAnswer: g, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/12*(-1 + -176510). Let p = a - -14666. Let s = p - 32569. What is s rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 16. Let g(q) = -3*q + 2*q + 0*q + z. Let k(a) = -2*a + 17. Give 13*g(w) - 6*k(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 3, 1, -0.01589?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.12579 decades in months?\nAnswer: 10815.0948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636.887 years to months.\nAnswer: 7642.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 - 2*p**2 + 2*p - 1. Let x be h(1). Suppose 0 = -5*n + 4*n - x. Are -2 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20233, -2\/11, 0 in increasing order.\nAnswer: -2\/11, 0, 20233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184\/7 in -2, -1\/4, 4, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(39)\/sqrt(3) + -5)**2 - ((sqrt(13) - (-2 + sqrt(13) + -1)) + sqrt(13) - ((4 + sqrt(208) + sqrt(13))**2 + sqrt(13))).\nAnswer: 30*sqrt(13) + 376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/1650 and (506814\/(-11700))\/11 - (0\/4 - 4).\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-10)*-1)\/((20\/500)\/((-4)\/60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*g + 56*g + 56*g - 46*g.\nAnswer: 115*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + sqrt(147) + 3)**2 + sqrt(30)\/(2*sqrt(1440)).\nAnswer: 2017*sqrt(3)\/24 + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3072 - -8084. Suppose 3*m - l = -m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/8 - (-6)\/(336\/28343). Let j = p + -344. Is j at least as big as 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3105326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 99, 216, 391, 630, 939?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1426, -11394, -38450, -91144, -178026, -307646, -488554?\n\"Answer: -1425*q**3 + 6*q**2 - 11*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/3 - 3\/(-9). Factor 5*s**3 + r*s**2 + 7*s**2 - 8*s**2.\nAnswer: 5*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -4*v**2 - 12*v + 13. Let n be y(-3). Calculate the highest common divisor of 30 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7985 + 13706. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122858 (base 10) to base 11\nAnswer: 8433a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*y = 1477 + 12383 for y.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(138*f - 206*f + 137*f - f + 0 + 0 + (-2 + 2 - 2*f)*(-1 + 2 + 1) - 2*f + 4 - 4) in the form p + s*f and give s.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295381.\nAnswer: 79, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -61. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0 = 24. Let q be (-4 + 4 - 6)\/(o\/(-56)). Suppose -4*g + 11*g = q. Solve u = 2*b - g, 2*u + 1 = -b - 0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 280008960822 and 0.02.\nAnswer: 280008960822.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1943*x**2. Let p(o) = 572585*o. Determine u(p(l)).\nAnswer: 637019510263175*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 12506568*g**4 + 12513011*g**4)*(2*g + g - 2*g).\nAnswer: 6443*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 55453963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 30*v + 97 = 1337. What is the smallest common multiple of v and 520?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -18 - 23) + (-9 - 3) + -4\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 95917147 to the nearest one million.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -47.78. Let g = 130 - 130.3. Let a = g + o. What is a rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, n: 11, t: 1, f: 1}. What is prob of sequence fe?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5719302 is divided by 173303?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 273*w - 831*w + 258*w + 70 + w**2 + 274*w. Let b be (-33)\/(1\/(2\/(-3))). Let t be m(b). Are -18 and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -27*s. Let b(i) be the third derivative of 19*i**5\/30 - 541*i**2. What is b(z(p))?\nAnswer: 27702*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1160*a - 20330 - 15630 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109263538 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + 4*h. Let r(u) = 31*u**2 + 21*u - 1. Let a(k) = 2*r(k) - 11*x(k). Let b be a(-1). Put b, 4, 0 in ascending order.\nAnswer: b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3347*n**4 - 9*n**3 - 112017*n wrt n?\nAnswer: -40164*n**2 - 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34137207 (base 8) to base 6\nAnswer: 422211235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + p**3 + p**3 + (0*p**2 - 3*p + 2*p - 2*p**2)*((3 + 1 - 5)*(p - 4 + 4) + 8*p + 8*p + 5*p).\nAnswer: -41*p**3 - 20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 5*q - 2*q + (1 - 3 + 0)*(4*q - 1 + 1) + 2*q + 0*q - q + 4*q + 4*q + 0*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -45.821 times 1\nAnswer: -45.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 6, 2, -21, 1, -39 in decreasing order.\nAnswer: 6, 2, 1, 0, -4, -21, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guaqd. Give prob of picking 1 d and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(-3*sqrt(216)))\/((sqrt(1584)*1 - sqrt(1584) - sqrt(1584) - sqrt(1584)) + (sqrt(176) - -1*sqrt(176) - sqrt(11))).\nAnswer: sqrt(2)\/306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 26 = -2*m, r - 5*m - 2 = -3*m. Suppose -7 = r*x + x. Let y(w) = -w**2 - 6*w + 5. Let t be y(-6). Put x, -5, t in decreasing order.\nAnswer: t, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**4 - 3*f + 3*f - 2 - 3*f**3 - 19*f**2 + 20*f**2 in the form j*f**3 + s*f + d*f**4 + k*f**2 + u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from wpwbwwxbwxwb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, j: 1, z: 2, f: 1, k: 1, a: 2}. What is prob of picking 1 f, 2 a, and 1 j?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y - 8*y)*(0 + 0 - y**4) - y**5 + 4*y**5 + 0*y**5 + 2 - 2*y**5 - 2.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/1*3\/2. Let k = a - -2. Solve -k*s - j + 2 = 0, 5*j = -4*s + 2*s + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(360))\/sqrt(5).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 9 + 8 + 2*f**2 + 7 - 2*f + 42*f**3 to m + x*f**2 + r*f + n*f**3 and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 17. Let i be h(2). Let q be -2*5\/25 - 6\/i. Solve q = -4*r + 5 - 17, -4*n - 17 = 3*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-18) - (-10)\/12.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 21218128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 10*f**2 + 12. Let g(h) = -2*h**3 + 3*h**2 + 3*h - 4. Let r be g(4). Let b = r + 88. Calculate the least common multiple of v(10) and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1964, 7901, 17800, 31661?\nAnswer: 49484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l = 34 + 182 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*f + 9*f - 1554, 0 = 3*d - 4*f - 1500. Calculate the remainder when d is divided by 100.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = 15, 5*s - 10 = -2*t. Suppose 2*w + w - 6 = 0. Suppose -5*d - 1 = -6*d - w*j, s*d - 20 = -4*j. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (8 - -19) - (-87 + -49).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 20. Let z(p) = p**2. Give z(s(y)).\nAnswer: y**4 + 40*y**2 + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2573*r + 1287*r - 19 = -1285*r - 2*u, -2*u = 5*r - 25 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 - 92. What is the units digit of d\/4 - 4\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, u: 6, w: 7}. Give prob of sequence wuuw.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*y + 7467 = 3075 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**1*k*k)\/k)**(26\/3))**(-22)*(k*(k*k\/k**(-1\/3)*k*k*k)\/k*(k**(-3\/5)*k)\/k)**(-10) assuming k is positive.\nAnswer: k**(-1286\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 854570\/249 + -3432. Let x = 488\/1245 + r. Factor -4\/5*u + 0 + x*u**4 - 2*u**2 + 2\/5*u**5 - 6\/5*u**3.\nAnswer: 2*u*(u - 2)*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*u - 20 = 332*u. Solve 0 = -49*o + 44*o - u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-12 + 7 + 7 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/162 and -103\/36.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -945a?\nAnswer: 9460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66 + 66 - 18*m to q + h*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**5 - 622*j**2 + 259*j + 2 wrt j?\nAnswer: 20*j**3 - 1244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v - 935 = 27*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -85686957*s**2 - 34657*s + 69314. Let i(v) = 4945*v**2 + 2*v - 4. Give -2*a(j) - 34657*i(j).\nAnswer: -4951*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1058 and 887002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2*(-1 + sqrt(833)) + sqrt(833) - sqrt(833)) + -4*-2*sqrt(833)))**2.\nAnswer: 4200*sqrt(17) + 749800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - (-1)\/((-2)\/(-122))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*k - 4*j - 56584 = -333*k, 2*j - 14131 = -k. List the prime factors of k.\nAnswer: 79, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 215*m + 356. Let k be u(-1). Calculate the highest common divisor of 21 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 9*h**2 - 11*h - 12. Let p be t(-8). Let d = p - 11. Is 4 a factor of d + 2 + 16 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from liilblllhllkvl. What is prob of sequence lih?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvggggggvvvvgvggogg. What is prob of picking 3 v and 1 g?\nAnswer: 616\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2 - 1)*73. Let w = h + -68. Suppose -2*g - g - 333 = -3*l, 3*l - 329 = w*g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 - 265. What is the remainder when 1614\/10 - 8\/20 is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 557.\nAnswer: 5\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11103122 (base 4) to base 12.\nAnswer: 106a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1361, -2818, -4263, -5690, -7093, -8466, -9803?\n\"Answer: p**3 - 1464*p + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/102949637 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/3*1 - 3. Let p = w + -32. List the prime factors of -5 + 2 + 1 - p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577500577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31 - 1) + (28 - 27) - -5) + (-9 - 0).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062800413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -276941749*w**3 + 61143875 wrt w.\nAnswer: -830825247*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 12 - -1 - (2 + -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -2387.\nAnswer: -19\/2387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62300616 and 2016?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 81610298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1499*y - 1093*y - 205*y)*(3*y**2 - 2 - 2*y**2 + 4).\nAnswer: -2797*y**3 - 5594*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476 and 8738.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.25 - 2.75. What is the third smallest value in 3, 1\/3, 1\/4, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5984 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4\/4 - 257*b**3\/4 + 29431*b**2\/4 + 123017*b\/4 - 76095\/2 = 0. Calculate b.\nAnswer: -342, -5, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*u + 63, t + 16 = u - 0*t. Let v = 0 - 0. Suppose -7 = -k - v. What is the remainder when u is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxm. What is prob of sequence xx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u + 113*u**2 - 115*u**2 + 11*u. Let a(s) = 287*s + 91. Let z(k) = 19*k + 6. Let l(t) = -6*a(t) + 91*z(t). Give r(l(b)).\nAnswer: -98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Suppose l*b - 500 = -b. What is the greatest common divisor of 50 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 6:01 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -12. Let x be -3*(-1 + i\/3). Calculate the remainder when 68 is divided by 163\/7 + x\/7.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlvvvvvjx. Give prob of sequence jx.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 540 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/570 and (3*381\/42)\/(396\/(-126) - -16)?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and (3\/3 + 2)\/1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 88\/(-42)) + (-69)\/161. Which is the nearest to -2\/3? (a) -2\/11 (b) -2.6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 + 3 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/3 - 60*d**4 + 1136*d**3\/3 - 516*d**2 - 378*d + 576 = 0. Calculate d.\nAnswer: -96, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/30920 and -3\/2631292?\nAnswer: 26312920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70.9 + -73.9. What is the nearest to 2\/9 in -3\/8, g, -1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.053 - -1.173. Let d = -0.62 + p. Sort 0, d, 2\/11.\nAnswer: 0, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109.0000142 - -109. Round d to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4862 greater than -4862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 22*c**2 + 43*c - 4. Determine u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Suppose -4*g - q*r - r - 13 = 0, -16 = 3*g + 5*r. Let h = 203 + -207. Which is the second smallest value? (a) h (b) g (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = -5*n + 821, -5*n - 3*s + 819 = 0. Let w = -33 + 33. Suppose 10*t - 18*t + 120 = w. Calculate the highest common divisor of n and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2549522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**2 - 4454*j - 36080. Determine u(-8).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 + 17*y**2 - 8*y + 2. Let a be f(8). Suppose v = -2*x + 44, a*v = 2*x - 5*x + 88. Calculate the smallest common multiple of 44 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**3*w - 9*p**2*w - 23*p*w + 4306*w wrt p.\nAnswer: 6*p**2*w - 18*p*w - 23*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 11) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, z: 3}. Give prob of picking 2 j and 2 z.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f. Let i(x) be the first derivative of -x**2 - 1\/12*x**5 + 0*x**3 + 0*x**4 - 1 + 0*x. Let g(c) be the second derivative of i(c). Give g(m(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357729.\nAnswer: 3, 119243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202102102 + 211?\nAnswer: 1202110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6240695 a multiple of 1205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 36394.1829 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 1\/15*m**3 - 9\/5*m + 0*m**2 + 74. Factor d(z).\nAnswer: (z - 3)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3069, 12299, 27689, 49245, 76973?\n\"Answer: p**3 + 3074*p**2 + p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - 9)*(1 - (2 - -4)). Let p = k - -15. Calculate the greatest common factor of p and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(170)\/(1*sqrt(10)) - sqrt(17)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szenjkns. Give prob of picking 1 k, 1 z, 1 e, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 9, 1, -11, -27?\n\"Answer: -2*q**2 + 2*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43647906 is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-14))\/(139\/973).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -496.2 + 498.34. Which is smaller: y or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.15839410553 - -0.04160557047. Let m = t + -18.2. Round m to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000486526 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46220269481 - 0.3.\nAnswer: -46220269481.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -20722*t - 1 + 2 + 20530*t as c + u*t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-128)\/(-20))\/((-8)\/(-20)). Suppose -5*b + k = 1. Solve c - 20 = b*i, 0 = 4*i - 7*i - c - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64229 and 560544?\nAnswer: 6165984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-231)\/21 + 9 + (184\/22)\/2. Put 1, -3, -34, c in decreasing order.\nAnswer: c, 1, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glv when three letters picked without replacement from vgl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = 3*y, 3*y - 159*s + 158*s + 2 = 0. Solve y = -4*a - 8, -2*u + 4*a + 28 = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/5 - 984773*v**3\/5 - 1969541*v**2\/5 + 984773*v\/5 + 1969542\/5 = 0.\nAnswer: -984771, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 375583?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 <= -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k + 0*k)*(-4*k**4 - k**4 + 4*k**4) - 21*k**5 - 7*k**4 + 7*k**4 + (-5*k**4 + k**4 + 3*k**4)*(-6*k + 2*k + 2*k).\nAnswer: -20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, b: 6, t: 1, d: 4, o: 3}. Give prob of sequence tbod.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -262 (base 10) to base 12.\nAnswer: -19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -531, 2000, 4493, 6930, 9293, 11564, 13725, 15758?\nAnswer: 17645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 363, 1, 53281?\nAnswer: 53281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1737 + 20951\/12. Find the common denominator of 1\/(-3) + (-49)\/4 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 12. Let g be y(-3). Which is the third biggest value? (a) g (b) -1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1295 and -53\/25.\nAnswer: 6475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 5*q**3 - 2*q)*(-q - 1 + 1)*(-1 + 1 + 1) to the form g*q**4 + r*q**3 + h*q**2 + b*q + l and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 414, -38, 216 in increasing order.\nAnswer: -38, 1, 216, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 1. Let y(f) = 8*f**2 - 2*f - 1. Suppose 0 = -2*q + o, 6*q - 5*q + 2*o - 5 = 0. Calculate q*w(t) + y(t).\nAnswer: 9*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 1171\/369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 3*z = -252 + 231, -z = -5. Solve y*p + 6 = -r, 5*r - 4*p + 1 + 5 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 334.8 and 31.5298043.\nAnswer: 366.3298043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 5*p + 19, 2*w - 3*p - p = 24 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 104*b + 81. Determine g(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*c - 3*a - 9, 0 = -3*c - a + 4. Suppose -3*b - 1925 = -c*z - 5*b, 0 = -5*z - 3*b + 3208. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2362321 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:47 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 7*h - 18. Suppose -3*r - h = 37. Let t(j) = -5*j - 5. List the prime factors of t(r).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2437467.67 and -2.\nAnswer: 2437465.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 412*a**3 + a**2 + a. Let j be d(-1). Let f = 99 - j. Suppose 0 = -10*l + 3*l + f. List the prime factors of l.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:22 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14179596 divided by 4.\nAnswer: 3544899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -42225*i - 717831. Give r(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4767*x + 3522*x - 145665 for x.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14992653917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908587803?\nAnswer: 3, 83, 3648947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -992.\nAnswer: -992, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2383 - 2374. Let x(t) be the second derivative of -1\/3*t**6 + 0*t**4 + 0*t**3 + 0 + s*t - 3\/2*t**2 + 0*t**5. Differentiate x(l) wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -366 times 4305\nAnswer: -1575630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -90577991*-4\nAnswer: 362311964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37356 is divided by 60.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x - 52 = 0. Suppose 4*a - x - 3 = 0. Factor -2\/7*k**a + 2\/7*k**2 + 0*k + 0*k**3 + 0.\nAnswer: -2*k**2*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110233 (base 4) in base 2?\nAnswer: 100010100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 5*(sqrt(343) + 1 + sqrt(343)))*2)**2.\nAnswer: 3080*sqrt(7) + 166112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.3 - 14.3. Let d = -20\/7 - -3. What is the nearest to t in 0.3, -5\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.62936 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 209 + 519 = 0. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*n + c - 10 = 873*n + 2*c, -3*c + 6 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -13 - 5. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 70\/13, 1\/6, 0, 5, -1.7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54188)\/(-9216) - (0 - 0). Let k be 1\/(768\/1529) + -2. Let n = h - k. What is the common denominator of n and -95\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25495113642 minus 4?\nAnswer: -25495113646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 6*o + 2. Let d = 0 - 6. Let w be j(d). Suppose 0 = 3*v - r - 23, -6*r + r + 4 = w*v. Calculate the highest common factor of 21 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/650 and (-3)\/(-55)*2*6\/52?\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.431652692 to 5 decimal places.\nAnswer: -0.43165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 153036813 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*k**2 + 2039*k + 127*k**2 - 2038*k.\nAnswer: 189*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 6\/5, 2312, 0.4 in ascending order.\nAnswer: -2\/7, 0.4, 6\/5, 2312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.0931 + 2.0931048054. What is y rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.8207003 to two decimal places.\nAnswer: -69.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9471*r**2 - 11225*r wrt r?\nAnswer: 18942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22552.\nAnswer: 2, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1560? (a) 1\/6 (b) -3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.1, -94?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -11*r - 228. Let b be z(-21). Solve -b*l + 6 = -2*w, -2*l = -3*w - 3*l - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 6 = -5*g. Suppose 147 = g*k + k. Let v(n) = -6*n**2 - 191*n + 57. What is the remainder when k is divided by v(-32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, b: 1, g: 2, r: 1, d: 2}. Give prob of picking 1 d and 1 g.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -13, 1 in ascending order.\nAnswer: -13, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*z - 3*x, -2*z - 13 + 53 = -5*x. Suppose -z*q = -89 - 111. What is the remainder when q is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*t - 17, -5*r + r + 3*t + 106 = 0. Let o = 76\/3 - r. Let j = 29\/63 + -8\/9. What is the nearest to -1 in j, o, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46821 - 150?\nAnswer: -46971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 - (-112)\/12*3 is divided by (-141)\/(-15) - 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 2, c: 2, r: 1, f: 1, p: 1}. What is prob of picking 1 r, 1 p, and 1 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111942*q + 113226*q - 7704. Factor 0 - 19\/3*g - q*g**2 + 1\/3*g**3.\nAnswer: g*(g - 19)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 42 = 8*d. Solve -5*c + d = 2*z, -3*c = 1 - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + y - 320*y**2 + 318*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + z = -3*z + 64 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10509.\nAnswer: 3, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 10*y**2 + 14*y - 8. Let t be l(11). What is the lowest common multiple of t*(36\/15)\/2 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 3*w**2 + w + 2. Let s be g(2). Solve -m + 4*m + 6 = s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 25*r**3 - 5*r**2 + 7*r - 7. Suppose 2*s - 4*t + 36 = 0, 0 = 5*s - 5*t - 87 + 137. Let u(j) = -8*j**3 + 2*j**2 - 2*j + 2. Determine s*f(g) - 7*u(g).\nAnswer: 6*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q. Determine a(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (1 - 2))\/2. Let o(s) = s - 9. Let j be o(12). Let u = j - -1. Solve g = -8*i + u*i - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 2. What is the remainder when k(-4) is divided by 34\/14 - 6\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8022 (base 11) to base 12\nAnswer: 6214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 - ((6 - 3) + 11 + -10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 8 + 3 = 0, t + 9 = -2*b. Let i be -1 + (35 - b\/2). Let g = -4115 - -4360. What is the highest common factor of i and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13126, -7661, -2196, 3269, 8734?\n\"Answer: 5465*j - 18591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359922 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, y: 11}. Give prob of sequence yyyy.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let m(v) = -3 + v + 2 - 3 + 3. Let z(g) = -g**3 + 4*g**2 - 1. Let b be z(4). What is b*p(q) - 2*m(q)?\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from {v: 1, p: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -205.92 - -202. Let d = i + -0.08. Which is the nearest to -2\/5? (a) 1 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 5:37 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -46475.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -447 - -879. Let u(i) = -i**2 + 8*i - 13. Let k be u(6). Is 27 a factor of (k + 1\/2)*a\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h + 276. What is the units digit of 10\/(-4)*h\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1275 = -13*q + 16*q. Suppose -7*u = -3292 - q. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 284 - 292. What are the prime factors of ((-234)\/24)\/(6\/p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1492 - -1682. Calculate the greatest common divisor of g and 1235.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -33. Let a be -3 - -8 - (-2 + 7\/1). Put q, a, -0.5, 0.5 in descending order.\nAnswer: 0.5, a, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1532 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 68707.28319 to the nearest 10.\nAnswer: 68710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284343849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {i: 1, t: 1, h: 3, b: 1, r: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352897.\nAnswer: 359, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73209086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 5*g - 50 + 45, -5*i + 3*g = -16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/15384896 and -107\/7484544.\nAnswer: 276928128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, l: 12}. What is prob of sequence llll?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 563, 668, 789, 932, 1103, 1308, 1553?\n\"Answer: k**3 + 2*k**2 + 92*k + 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2086284323 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by -2306\nAnswer: 30\/1153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 5*u**2 + u - 21. Let r be m(-6). Solve -r - 11 = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 24. Let u = s - 13. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471319 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/7 + 2238*c**4\/7 + 4524*c**3\/7 - 44888*c**2\/7 + 53808*c\/7 = 0. What is c?\nAnswer: -6, 0, 2, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*o**5 + 4*o**3*y**3 - o**2*y**3 - 14*o*y**3 + 4*o - 5*y**3 wrt o.\nAnswer: 600*o**3 + 24*o*y**3 - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a**3 + 20*a**2 - 2*a**2 + 0*a**2 - 31*a**3 + 8*a**3 as k*a**2 + g*a + j + b*a**3 and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/3*(-1)\/12 and 14\/33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*y + 31*y + 14 + 3 + (3*y + 0*y - 2*y)*(0 + 2 + 1))*(2 - 15 - 6) as i*y + h and give h.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -6*t**4\/11 + 6520*t**3\/11 - 94680*t**2\/11 + 368960*t\/11 - 205824\/11 = 0.\nAnswer: 2\/3, 6, 8, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 6*i**2 - 9*i - 5. Let y be u(-7). Suppose y*k - 4*k - 15 = 0. Let q = 13 + -9. Is k at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Suppose 3*n - 3*r = 15, 5*n - n - 3*r = 15. What is the derivative of 2*t**f + 2*t**3 + 3 - 7*t**3 + n*t**3 wrt t?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 980 = 4*b. Let i = b + -135. Suppose 0 = -3*x + x + i. Calculate the greatest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, 53, 7\/332 in ascending order.\nAnswer: 7\/332, 0.3, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvm when three letters picked without replacement from {m: 3, v: 15}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 76364208?\nAnswer: 534549456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (84\/9)\/(6\/108). Let a = 56 + -35. What is the greatest common factor of j and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27272 - -27279. Suppose -5*f - 6*i + 20 = -11*i, -5*f - 20 = 5*i. Which is the second biggest value? (a) 2\/11 (b) u (c) -1\/6 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7*(-4 + 120\/28). Let b be (-12)\/(-4)*(-2 - 0). List the prime factors of -3 - (-195 - (z + b)).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 352\/14 - 91880\/(-32158)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 323.9 + -287. Let a = 37 - x. What is the smallest value in a, 4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/329? (a) 11 (b) 0.4 (c) -2 (d) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 7. Let v be d(-6). Let o = v + -4. Which is greater: o or -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9048.235 litres in millilitres?\nAnswer: 9048235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9080761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 19 = -2*f - 3*f, -f = -4*p + 10. Let b = 7 + 4. What is the least common multiple of b and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-264)\/(-22))\/(9\/(-3)*-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270 - 25*v**2 - 268 + 27*v**2 - 706*v + 3*v**4 + 111*v to g*v**4 + y*v**3 + h*v**2 + j + q*v and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1150 + 1156. Solve -4*g + x = 2*k, 5*k - 4 = 4*k - g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**3\/3 + 5*k**2\/2 + 7*k - 1. Let r be p(-5). Let x = 31213.4 - 31212.4. What is the third smallest value in 3\/2, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1900)*2*-4)**2 + 3.\nAnswer: -729597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -2*w**3\/3 + 11*w**2 + 24*w + 51. What is y in d(y) = 0?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 262 (c) 3.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**7\/5040 + i**6\/90 + i**5\/60 + 6*i**2. Let b(z) be the third derivative of v(z). Give b(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 28508928.\nAnswer: 28508928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1904, 3805, 5708, 7613, 9520, 11429, 13340?\nAnswer: 15253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 20*c + 19 = 0, 426*r = 428*r + 5*c - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(180)*-3)\/sqrt(3))\/(sqrt(60)\/(sqrt(5) - sqrt(5)*-2) + sqrt(432)*-1 + sqrt(12)))**2.\nAnswer: 10125\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -114880794 and -0.109.\nAnswer: -114880794.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 0. Suppose -2*x - p = -11, 5*p - s = 5*x - 0*p. Suppose -319 = z - 2*z + 3*a, 3*z + x*a = 909. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5\/q*q)**(-7\/10)*(q\/(q\/q**(-1)))**(-24))**(-15\/8) assuming q is positive.\nAnswer: q**(-615\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76178 and 656?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a millennium?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -155, -575, -1391, -2735?\nAnswer: -4739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8 and ((-4)\/(-36)*-59)\/(-2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9)*(-27)\/(-9)*(-6)\/18. Let d = -3 + 3. Sort d, -13, 4, c.\nAnswer: -13, d, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 284*w**2 + 8792*w - 16464.\nAnswer: 2*(w - 98)*(w - 42)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 25, 0 = 3*s + 2*c + 88 - 86 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 7*y**2 + 3*y - 10. What is i(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421909352 is divided by 805.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2628, 5250, 7870, 10488, 13104, 15718?\n\"Answer: -i**2 + 2625*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(294)\/sqrt(96))\/(sqrt(567)*2) + (sqrt(1008) - (sqrt(1008)*-2*-1)**2) + 4.\nAnswer: -4028 + 869*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 + 126 - 62*x)*(0*x**3 - 2*x**3 + 3*x**3).\nAnswer: -62*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8552271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 26*i**2 + 88*i.\nAnswer: i*(i - 22)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 24 = 24*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23 * 49\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5*j - 6, -6 = j + 67*t - 62*t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991504686?\nAnswer: 2, 995752343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**3\/3 - 5533*s**2\/2 - 12895*s + 4702. Differentiate q(m) wrt m.\nAnswer: -2*m - 5533","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-6 - -1 - -17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -15958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = 4*o - b - 12, 0 = 5*o - 2*b - 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 488*d**3 + 17524*d**2 + 161040*d + 435600.\nAnswer: 4*(d + 6)**2*(d + 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 5*w - 3*n + 1042, 5*n + 20 = 0. Let r = 1529 - w. List the prime factors of r.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -49*p**2 - 2382*p + 771. Calculate n(-49).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 + 1610*x**4 - 12210*x**3 - 231140*x**2 - 820115*x - 838950 = 0. Calculate x.\nAnswer: -329, -5, -3, -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + s - 11 = -0*z, 2*z + 4*s - 26 = 0. Suppose 0 = -o - o - 3*k + 16, z*o - k - 24 = 0. Calculate the remainder when 14 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -284*z**3 + 3*z**2 + 1. Is c(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 452 and 630108340.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6 - 17*j + 1 + 8 + 37*j - 18*j. What is p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 0*l**2 + 6*l + 2*l**2 - 8 as z*l + i*l**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 0*i**2 + 0*i**2 + (-392*i - 33*i - 224*i)*(4 - 4 - 3*i) as g*i + r + d*i**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(8\/3)*u\/(u**(1\/9)\/u) assuming u is positive.\nAnswer: u**(41\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*j - j, -j = 5*u - 90. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**2*y**3 - 9818*n**2 - 22*n*y - 24*n - 2*y**3 + 4 wrt n.\nAnswer: 8*y**3 - 19636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 4*b + 24. Let c be s(-7). Suppose 0 = 3*y - 2*i - 20, 6*y - y - i - 31 = 0. Solve -c*j = -y - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*f + 30, 356039 - 356054 = -r - f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 20. Let m be x(-11). Suppose p = -m*p + 42. Calculate the remainder when 41 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**31)**(11\/3) assuming f is positive.\nAnswer: f**(341\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*z + 2, k = -0*z + z + 2. Let i be (-5*(-8)\/(-5640))\/(-1)*1. Are z and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17\/4 - 2\/8. Suppose -3*y + o = -o - 93, y - 31 = 4*o. Let j = -31 + y. Solve j = -4*f + 5*l - 25, -3*f + 13 = -k*l + 32 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 47401, -0.3, 15\/8 in increasing order.\nAnswer: -0.3, 15\/8, 13, 47401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*m = 2145, -z - 8614 = -5*z - m. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**3*l - 2*j**3*s + j**3 + 2*j**2*s + 71*j*l*s - 7*j*l - 67088*j*s - 301*l*s wrt l?\nAnswer: j**3 + 71*j*s - 7*j - 301*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**7\/210 + m**6\/24 - m**5\/60 - 5*m**4\/24 - 3*m**2 + 5. Suppose k(i) = 0. What is i?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**3 - 160*j**2 + 170*j - 530. Determine l(39).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 2 = 6. Solve p + a = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w**3 + 2149*w**2 - 491*w - 3113. Give h(-239).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (14 - 15)*(-2 - 0). Let d be 14*(-3)\/18 + w. Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264292 is divided by 12580?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2. Let w(v) be the third derivative of -2597*v**5\/15 + 6819*v**2. Give b(w(c)).\nAnswer: -107910544*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1013, -1018, -1033, -1064, -1117?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1095 and -0.0594.\nAnswer: 0.0065043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 14. Let a be p(16). Sort a, 3, 2, -5.\nAnswer: -5, a, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:44 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzt when three letters picked without replacement from zxwqwtr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/3 + 8*b**2\/3 + 2*b\/3 - 4 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + m - 5 = 0, -4*q + 13*m = 9*m + 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*y + 178887 + 165465 = 2059*y for y.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + u - 10, n - 4*u = -0*u - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*((0 + sqrt(6336) - sqrt(6336)) + 5)**2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-35) + 84\/(-640)*4.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 19*l = 40. Is 25 a factor of (150\/(-4))\/(5\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfhw when four letters picked without replacement from fnfhfwnnmh?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) 67\/3 (c) -3 (d) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 0*u + u)*(u**2 - u**2 + 2*u**2)*(19 + 0 + 0) in the form s*u**2 + t*u + i*u**3 + q and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010000000100111 (base 2) to base 7.\nAnswer: -622412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (14 - 28) - -30\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54\/12*(-8)\/(-12) + 629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139 + 693\/5. Let z = 45 - 70. Let f = z - -24.7. Put 2, f, o in increasing order.\nAnswer: o, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/7))**(-2\/83)*p**(-2\/9)*((p**(-13\/5)\/p)\/p)\/p assuming p is positive.\nAnswer: p**(-152492\/26145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30234?\nAnswer: 2, 3, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 2559 = 341613. What are the prime factors of z?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430042 and 424?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.076 to 3 dps.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 146844\/5220 - (-11)\/((-165)\/(-12)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**4\/2 - 6*w**3 + 9*w**2\/2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778 - 14*n**2 - 778.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83774885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 21\/16*r**4 + 1\/8*r**3 + 0*r - 22 + 15\/2*r**2 + 441\/80*r**5. Let v(n) be the second derivative of j(n). Factor v(t).\nAnswer: 3*(21*t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 <= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 1352 = 23*j + 2*d, -4*d + 912 = 2*j. List the prime factors of j.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 948789.\nAnswer: 3, 47, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/2)\/((-8)\/16)*((-952)\/(-85))\/2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 15 = -13*g. Suppose -25 - 3 = -3*i + c, -g*i = -3*c - 36. What is the least common multiple of i and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -91, -403, -935, -1693, -2683, -3911?\n\"Answer: -n**3 - 104*n**2 + 7*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/470 and 121\/1692?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:50 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/13 + 224*v**2 - 1157850*v\/13 + 139802436\/13.\nAnswer: -2*(v - 898)*(v - 279)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34008069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-15)\/8) + 19\/(-855)*15\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -72*t**2 - 74*t + 261. Determine l(5).\nAnswer: -1909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 315*z**2 + 3601*z + 5856. Give o(-326).\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/6 + 1459*f**2\/3 - 176737*f\/6 - 159460 = 0.\nAnswer: -5, 67, 2856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0226522317 to four decimal places.\nAnswer: -0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 26380523?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4*-1)\/(-2) + 2. Let d(x) = -7 + 3*x + 0*x - x. Let w be d(5). Solve 0 = 3*g + 2*i - 1 - o, -w*i = -g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/7, 0, 0.06, -0.2 in decreasing order.\nAnswer: 3\/7, 0.06, 0, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*s - 96*s + 33 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 12*d - 3. Let y(o) = o. Let w(k) = a(k) + 12*y(k). Let b be w(-7). Suppose 2*h = -3*c + c + b, 0 = 2*c - 2*h - 124. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/905 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*l**2 - 54*l**2 + 23*l**2 + 0*l**2 - 764*l + 2*l**3 - 181*l**2 wrt l?\nAnswer: 12*l - 560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-636*u - 634*u + 293*u)*(2*u - u**2 - 2*u).\nAnswer: 977*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2\/3 (c) -1\/2 (d) 0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -648*t + 5945. What is o(18)?\nAnswer: -5719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - -10 - 15 - (-26068)\/3078 and -37\/66.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13119, -1, 5, -69 in ascending order.\nAnswer: -69, -1, 5, 13119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4613*y - 313353 = -5749*y + 1893*y for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 55968566190 from -3.\nAnswer: -55968566193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2051848.32 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -338 - -178. Let n = -312 - u. Let g = -151.993 - n. What is g rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 154 = -2*x, 4*z + 6*x = 3*x + 179. Calculate the remainder when 120 is divided by z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - p - 8*p**2 + 9*p**2 - 9*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 17*d + 36*d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(136) + 2*sqrt(136))\/sqrt(8) + -4)**2 + 3 + (0 + sqrt(1088) + sqrt(1088))*-5.\nAnswer: -104*sqrt(17) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h + 34 + h - 113 + 31 in the form d + t*h and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -314230 - 1?\nAnswer: -314231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11390 = -15*z - 6500. What are the prime factors of z?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let w(j) = 21*j**2 + 1576*j - 30. Calculate w(d(l)).\nAnswer: 21*l**2 + 1576*l - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 4*x - 3. Suppose -2 = 4*y + 10. Let m(b) = -2*b**2 + 3*b - 2. Let r = 12 - 10. Give r*a(w) + y*m(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16113 and -0.096?\nAnswer: 16113.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 + 1a?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 - -267. Suppose -2*m = 2*m - s. Suppose 0*l - 4*l = -m. What is the lowest common multiple of 8 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1. Let r(h) = -h - 1. Let u(n) = 3*r(n) + x(n). Give u(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25511 times -7.3?\nAnswer: -186230.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -1, 1.\nAnswer: -1, 1, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7067482 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110010110110110111 (base 2) in base 6?\nAnswer: -14030011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-28)\/(-16))\/(18\/32)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 7*g**2 - g - 3. Let l be u(-7). Solve -s = s - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2225\/2358 + -189\/262. Let x be (1 - -2) + (-4)\/(-2). Let y = 0 - x. What is the second smallest value in -0.5, y, 5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -16 + 8 + -1 + -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0 + 0*m**3 + 0*m - 1\/30*m**5 + m**2 + 0*m**4. Let q(l) = 2*l. Calculate x(q(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2220096 and 43268.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7833 <= 7833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Suppose 0 = d - 5*h + 12, 3*h + 60 = -5*d + 2*h. Let v be ((-21)\/d)\/((-1)\/(-8)). Let n(l) = 8*l - 8. What is v*z(o) - 2*n(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6))**28*y\/y**(-1)*y*y*y\/(y*y**(-2\/89)*y*y) assuming y is positive.\nAnswer: y**(-14772\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 224095854 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536911 is divided by 3525?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1042420420 - -4?\nAnswer: 1042420424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 2*d**2 + 1. Let m be x(-2). Let w be (1 + (-7)\/(-5))\/(m\/45). Calculate the greatest common divisor of w and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798502?\nAnswer: 2, 3, 7, 23, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-2 - (-1 + -1)). Suppose -16 = -2*w + j*p + 11, 3*w = -2*p + 34. Let a be (-6)\/((-3*1)\/w). Calculate the greatest common factor of 60 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599550921 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256414222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9701372 and 913?\nAnswer: 106715092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39024749*u**3 - 9*u - 461417?\nAnswer: -234148494*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 14) in base 4?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-55)\/(-15)) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -1\/12*u**4 + 0 + 8*u**2 + 1\/6*u**3 + 0*u. Let k = -1983 + 1988. Give d(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 998*d**3 + 2*d**2 + 13*d - 30. Let b(m) = m**3 - m**2 - m + 15. What is -2*b(y) - q(y)?\nAnswer: -1000*y**3 - 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 - 108. Suppose 6 + 0 = 3*i, -i - 206 = -2*z. What is the remainder when z is divided by j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 894*i + 4*t + 7417 = 895*i, 4*i = -5*t + 29563. What are the prime factors of i?\nAnswer: 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 1\/18*x**4 - 7*x**2 + 0*x + 0 + 1\/180*x**5 + 1\/6*x**3. Let m(i) = 0. What is i?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -20, -21, -6, 31, 96, 195, 334?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 73 + 2*q - 37 + 6 - 3*q - 40 + 2*q. Let r be ((-4)\/(-3))\/(2\/6). Let y(l) = -4*l - 9. Give r*y(u) + 18*v(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 336006067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -43*y + 2023. Let b(j) = 6*j. Determine b(m(l)).\nAnswer: -258*l + 12138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - -1)*1\/1. Let o be (-1 + -1)\/((-4)\/h). Suppose -o*d = d - 4. What is the greatest common factor of d and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**3\/6 + 5*g**2\/2 - 41*g. Calculate m(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18692 - 10552. List the prime factors of d.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-4) - 3\/(-6). Suppose 12 + 18 = j*a. Let l be -2*3\/a - -11. Solve -3*b - l = -3*x + 2, 3*x + 2*b = 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 2. Let g(d) be the second derivative of -4*d**3\/3 + 3*d**2 - d - 12. Let m(x) = g(x) + 5*y(x). Give m(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 35, -4*l - 450 + 430 = 2*a. Solve 0 = 5*t + 91 - 61, a*i - 6 = -t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22760104 and -168.\nAnswer: 22759936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 410 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-4))\/(-3)*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-8) + (-3)\/4)*-6. Suppose -4*m + 2 = z. Let h(b) = b**3 - 2*b**2 - 3. Let r(g) = g**2 + 2. Let a(k) = 2*h(k) + 3*r(k). Determine a(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and 0.06?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163 - -165. Solve -5*t - 4*g + 15 = -j*t, t + 2*g = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - o**3 - 1 + 2 - 4*o**2 + 0*o + 3*o. Let b be i(-4). Solve -3*m + 18 = -0*q - 3*q, m - 4*q = b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1571816 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95575597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 12321*p + 4 + 1.\nAnswer: 12321*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, x: 2, m: 2, z: 2}. Give prob of picking 2 m and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 3*x**2 + 3*x - 8. Let w be m(-4). Let k be w\/(6*(-14)\/6). What is l in 8\/7*l**2 - 8\/7*l**4 - k*l**5 - 4\/7*l**3 + 6\/7*l + 0 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 7. Let w be d(-7). Suppose w = -0*r - 4*r + 12. What is the remainder when r is divided by (-2)\/4 - 10\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, p: 7}. Give prob of picking 2 f and 2 p.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/3 of a hour in seconds?\nAnswer: 80400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*m + 54. Let q = 37 + m. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 15*r**2 - 2. Let d(h) = 3*h. Determine d(t(x)).\nAnswer: 45*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 5*u**2 - 6*u. Let p be j(6). Suppose p = 4*l - 0 - 16. Let q = -87 + 91. Solve 4*t - 3*z + l = -q, -3*z = 3*t + 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1685*q**4 + 10272 with respect to q.\nAnswer: 6740*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 4\/7.\nAnswer: 4\/7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 3*u - 3. Let s(m) = -2*m**2 + 2*m**2 - 4*m**2 + 3 + 5*m**2 - 7*m. Let c be s(7). Let a(y) = -3*y**3 + 7*y + 7. Calculate c*a(o) + 7*h(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 5*t**2 + 6*t. Let d = 67 - 61. Suppose -d = 5*l - 6*l. What is p(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -621911 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -2\/3, -0.08, 0.2, -2\/11?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3698*s**4\/7 + 745087144*s**3\/7 - 37530680564712*s**2\/7 - 6982471540544*s\/7 - 324766418048\/7 = 0.\nAnswer: -4\/43, 100742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*sqrt(2448) - sqrt(2448)))**2 - (sqrt(2448) - (-2*-2*sqrt(2448))**2).\nAnswer: -492*sqrt(17) + 78361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 2*h. Let z(c) = -23*c + 3. Calculate f(z(t)).\nAnswer: 1058*t**2 - 230*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484072 is divided by 161334?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4261491 is divided by 246.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, r: 11}. Give prob of picking 2 r.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -2. Suppose 513*y - 516*y = -6*z - 1635, -2*y + 2*z + 1084 = 0. Calculate the highest common divisor of v and y.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 13194*x + 13194. Determine o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8053382?\nAnswer: 2, 59, 139, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 7. Let q(d) = 4*d**2 + 10*d - 29. Determine -q(h) - 4*v(h).\nAnswer: -4*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1.8, 0.1, 109\/753?\nAnswer: 109\/753","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9 + 2*l + 0 - 4*l. Is f(-6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 2*y**2 + y**2 + 70*y - 70*y - 39*y**2 + (y + 0*y - 2*y)*(29*y - 14*y + 24*y) in the form o*y**2 + c*y + h and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1993868 + 1975553 = 185*r for r.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 16, 1 + 0 = -y - u. Let h(b) = -b**3 + 3*b**2 + 2*b + 6. Let s be h(y). Let a = s + -10. Calculate the remainder when 6 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140763616, -140763617, -140763618, -140763619?\nAnswer: -140763620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -143*a + 198. What are the prime factors of h(-6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, z: 3}. What is prob of sequence izz?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -2\/7 (c) 2\/7 (d) 192 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -1, 0.05, -2.53, 5 in increasing order.\nAnswer: -2.53, -1, -0.09, 0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:54 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -15, 3, -2, 5 in ascending order.\nAnswer: -15, -2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 140.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k - 11*k + 25. Put k, 6, -1 in increasing order.\nAnswer: k, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32448185 by 55.\nAnswer: 589967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1087012766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -7, -8, -65, -1099, 2 in descending order.\nAnswer: 5, 2, -4, -7, -8, -65, -1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -27898, 3, -7 in descending order.\nAnswer: 3, -7, -27898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1962038 is divided by 303?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*(u*u**(5\/3)*u)\/u)\/u*u*u**4*u)\/(u**(3\/7)*u**10))**40 assuming u is positive.\nAnswer: u**(-640\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 13) in base 15?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -474 - -471. Which is the second smallest value? (a) v (b) 2 (c) -2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**3\/3 + 6200. Let q(c) = -205*c - 7. Give q(v(j)).\nAnswer: -205*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/((468\/54)\/(-13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6250\/40 - (-65)\/(-52). What is the highest common factor of 341 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -13*g**2. Suppose 5*r = -3*f + 6, 4*f - f + 3*r = 6. Let u(t) = 6*t**2 + 6*t**2 - 12*t**2 + 2*t**f. What is v(u(j))?\nAnswer: -52*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3 - 4 + 4 + l - 1. Let u(b) = 2*b + 7. Let m be u(-6). Give i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 36 - 1 = 0. Let d = z - -61. Suppose -15 - d = -3*a. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 15, 11, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 + 240 = 5*y. Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 - -130.5. Put y, -9, -4, 0.5 in descending order.\nAnswer: 0.5, y, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**3 - 11*w**2 + 11*w + 14. Let g = -43 + 50. Suppose -2*a = -g*a + 55. Let m(o) = 2*o**3 - 4*o**2 + 4*o + 5. Calculate a*m(y) - 4*s(y).\nAnswer: -2*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(-414 + 844 + 2*k - 264)*(k - k - 2*k) to y + a*k + q*k**2 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:16 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 26. Let k be (-15)\/a - 23\/(-92). Suppose 4*b + 21 = -2*o + 5, 5*b = -25. What is the nearest to k in o, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5934125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/48*(1\/(-39))\/((-9)\/(-27))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 16 + u**4 - 15 + 3*u - 2*u**3 + (0*u + 2*u**3 + 0*u)*(1 + 2*u - 1) to the form v*u + c*u**2 + i*u**3 + m*u**4 + d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821752 is divided by 2221.\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-17 - (1 + -3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1645*c - 1648*c = 3*s - 36, -2*s + 4 = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -117699000 rounded to the nearest 1000000?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4364 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(343) - (sqrt(343) - sqrt(343)*2)**2) - ((sqrt(343)*-1)**2*2 + sqrt(343)).\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -35*l**6\/6 + l**5\/10 - 128*l**2 + 111*l. Find the first derivative of c(p) wrt p.\nAnswer: -700*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 6*j + j)*(3*j - j**2 - 3*j + (-5*j + 0*j + 0*j)*(3*j + 3*j + 4*j)).\nAnswer: 204*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10444, -18827, -27210, -35593, -43976, -52359?\nAnswer: -60742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.1, 2\/964315, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-21 - -52) + (4 + -2 - 8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + 18\/5. Let z be (-1 - 31\/i)*-4. Suppose 5*a - 7 = -o, -5*o + 0*o = 4*a - z. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - (-20)\/6. Suppose 0 = -4*j + 7 - g, 5*q = 4*j - 239. Let p = q - -66. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5503*w. Let v(f) = -2*f**2. What is a(v(p))?\nAnswer: -11006*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - 2. Let r = -0.58 - -0.08. Suppose 3*d - 2 = 4*d. What is the nearest to -1 in k, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:45 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13652569979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18572 is divided by 442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2155.7 + 2198. Is m less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 375173522?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, z: 2, w: 1}. What is prob of sequence zzbw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11522472 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/202952 and -81\/136?\nAnswer: 3450184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65.2 + -9.2. Let b = 52.1 - c. Let a = b - -3.900021. Round a to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r - 4. What are the prime factors of u(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 54337, -2\/21, -2?\nAnswer: 54337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 39, 66, 95?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 2044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2666 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18458457071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 75 = -0*y. Let m = -28 - y. Let i(c) = -3*c + 2. What is the remainder when m is divided by i(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24534736 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/186907, -5, -6, -1\/2?\nAnswer: 2\/186907","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -172938.75 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-3*m + 5*m + 2*m) + (-1 + 0 + 2 + (2 - 3 + 2)*(-2 + 1 + 3))*(-1 - 3*m + 1).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*g**2 + (-28 + 611 + 596)*(-2*g + 2*g - g**2).\nAnswer: -1177*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 11*u + 12. Give i(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/138574 and 109\/5026.\nAnswer: 970018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(66) - (2*sqrt(66) - sqrt(66) - sqrt(66))) + sqrt(66))\/sqrt(6) - 6*(-2*sqrt(396) + sqrt(396)))**2.\nAnswer: -76*sqrt(11) + 15885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289.6 + 218.56. Round y to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12*x**2. Let q(z) = 4*z. Give q(w(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59027 - 36484. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/9)\/((3128\/6900)\/17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59226 + -60240.39. Let m = q + 1063.8. Let k = m + -49. Round k to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -9. Let i(x) = -x - 1. Let w be i(j). Suppose w*f = -2*f + 12. Solve 0 = r + r - f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**4 + 32*p**3 + 9808*p**2 - 79488*p - 12340512 = 0.\nAnswer: -46, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ifwf when four letters picked without replacement from fffffiiwwifiififwi.\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1250 - 771. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*n - 49*n + 217*n + 17*n to g + b*n and give b.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ee + -c?\nAnswer: e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/18 and -73\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 35 - 179 = 0. Let s(t) = t**3 - 5*t**2 - 5*t + 7. Let x(y) = y**2 - y - 6. Let m be x(-3). Calculate the remainder when r is divided by s(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**2*s**2*x**3 + 12*r**2*s**2*x + 182*r**2 + 178*r*s**2*x**3 + 2*s**2*x wrt x?\nAnswer: 12*r**2*s**2*x + 1068*r*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498, -762, -670, -48, 1278, 3482, 6738?\nAnswer: 11220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/532 and 31\/684?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h - 8. Let x be a(5). Suppose x*q - 3 = q. Solve -q*p - 2 + 17 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 = 5*p, 5*p - 8 = 4*p - 4*q. Let r be (-10)\/4*p\/35. Let t(y) = -y**3 + 3*y**2 - 2*y + 1. Let h be t(2). Is h smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22534 (base 6) in base 9?\nAnswer: -4374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j - 15. Let z be i(-9). Determine s, given that -s**3 + 4*s**z - 2*s + 8*s - 9*s**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3967125965429 take away 6.9?\nAnswer: 3967125965422.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*n = i + 208, -2*i - n = -431. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 11458*g - 160256. What is the remainder when w(14) is divided by (-3 + 1)\/(1\/(-40))?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4784 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 48, 1, 3\/8, -4, -428.7, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/10, 5.421, -3, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m - 10*m + 23*m**5 - m**5 + (0 + 0 - m**4)*(-m + 2 - 2).\nAnswer: 23*m**5 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -176, -430, -804, -1310, -1960, -2766, -3740?\nAnswer: -4894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9239 take away -945053320?\nAnswer: 945044081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a0a75 (base 11) to base 13\nAnswer: -522c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) 59 (b) -2\/7 (c) 1\/194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64 + 43074*t + 54 - 12 + 38 - 43050*t with respect to t.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 5, -0.3, -18 in ascending order.\nAnswer: -45, -18, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 268*d*i + d*v**2 - 62*i*v**2 + 2*i + 362*v**2 + 1053 wrt v.\nAnswer: 2*d*v - 124*i*v + 724*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -25. Suppose q*c - 95 + 85 = 0. Suppose c*d = -d - 402000. Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3 in decreasing order.\nAnswer: 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28961, -57887, -86787, -115649, -144461, -173211, -201887?\nAnswer: -230477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gttggtmgmtgggtgvgut. What is prob of sequence tmg?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 15. Let h be w(-12). Suppose 10 = 2*v, h*z - 59 = -z + 5*v. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9212966 to the power of 1\/2, to the nearest integer?\nAnswer: 3035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*g**3 + 101*g**2 - 1 + 16*g**3 - 202*g**3 - 48*g**2 - 50*g**2 - 2*g to s*g**2 + q*g + p + v*g**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/4*i**2 - 3\/4*i = 0. What is i?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11158068.\nAnswer: 2, 3, 41, 22679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3362, -13465, -30306, -53885, -84202, -121257?\nAnswer: -165050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1820)\/784)\/(-13))\/((28\/(-32))\/7)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -84, -128, -172?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*i + 10492 - 10492 as z*i + n and give z.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-8)*4 - 205)*-1. Suppose -h = -2*a + d, -3*a + 3*h - h = -306. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*n - 23*n + 2*n**2 + 33*n + 6.\nAnswer: 2*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1517070 is divided by 257.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*w - w - 54, -5*m - w + 90 = 0. Calculate the highest common divisor of 558 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 42*c - 35 - 307, 4*c - 4*c = -3*c + 6 + 9 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1077, -0.3, 0.2 in decreasing order.\nAnswer: 1077, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {v: 1, y: 4, f: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8127, 32522, 73181, 130110, 203315, 292802?\n\"Answer: n**3 + 8126*n**2 + 10*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*u - 53 = 0, -17 = 5*z + 2*u - 45. Factor 4\/3*a - 2\/9 + 8\/9*a**3 - 2*a**z.\nAnswer: 2*(a - 1)**2*(4*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -i - 5*x - 25, 16*i + 7*x = 3*x + 144 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24673018 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99)*1)))*-5*-6)\/(sqrt(9) + sqrt(5103)\/sqrt(7) + sqrt(441)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0486 - 4109133.8281?\nAnswer: -4109133.8767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05862 - 1116?\nAnswer: -1114.94138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 3. Suppose -4*a = -a - 78. Suppose 2*t - 26 = -4*g + t, 0 = 5*g - 2*t - a. What is the lowest common multiple of g and m(-7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 389845444 and 389845443 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43350587 to the power of 1\/2, to the nearest integer?\nAnswer: 6584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66301568 is divided by 200.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s + 441 + 1743 = -222*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 47, 68, 87?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -249\/610 + 1\/122. Let v = 0.2 - -0.3. What is the second smallest value in 4, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908453 is divided by 3742.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 103?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/2 - 19*i**3\/2 + 36*i**2 + 224*i - 1280 = 0 for i.\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 14) + 4 - -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66205 is divided by 66203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(1*sqrt(4)) + 2.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1386577 = -5*b, 343455 = -2*j + 4*b + 1267837. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*l + 5*h + 80, -4*l + 5*h + 12803 = 12799 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2096, 3, 0, -2\/5, 2 in descending order.\nAnswer: 3, 2, 0, -0.2096, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11818.\nAnswer: 2, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-8))\/((-2)\/4). Let f(h) = 12*h + 4 - 4*h - 3. Give f(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2. Let d(c) = 394*c**2. Determine d(u(v)).\nAnswer: 1576*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100000011000101000 (base 2) to base 10.\nAnswer: 3016232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*g + (-2 + 1 + 3)*(2 - 2 + 2*g) - 2*g - 1 + 1 + 0 + 0 - g + 3*g + 4*g - 4*g)*(0*g + 2*g + 0*g).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001753 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**15\/w)\/w)**(-7) assuming w is positive.\nAnswer: w**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*v = 12 + 23, 0 = 5*z + v - 55. Suppose -4*a - 5*g - 54 = -13, -z = 5*a - 2*g. Let f = 51291 - 51293. What is the nearest to f in 3\/2, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 18 = -3*s - 0*s + 6*s, 29*g = -3*s + 90 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/580 and -13\/10.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 1 + 0 - 2*a - 3*a + 0*a + 4*a + (-1 + 3 + 1)*(0*a + a + a) - 3*a + 2*a + 0*a.\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**2\/2 + 51*j\/2 + 57 = 0?\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 43*g**9\/168 - 173*g**5\/20 + 5*g**2 + 46*g. Find the third derivative of h(v) wrt v.\nAnswer: 15480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(525\/18)*60\/18. Let l be (-3)\/(-10)*15\/18. Which is the closest to -1\/4? (a) -0.4 (b) l (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 2) + (86 - -19). Calculate the highest common factor of 8 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose r*i + 0 + 4 = 0. Let l = -1.741 - -0.741. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18842 - -18842. Let j(t) = -7*t - 56. Calculate j(s).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7893, 7894, 7895, 7896, 7897, 7898?\nAnswer: 7899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 752.7315l in millilitres?\nAnswer: 752731.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2*p**2 + 5898*l**2*p - 7490*l**2 + 1833*l*p**2 + 31*l*p - 63*p**2 + 16*p wrt l?\nAnswer: -2*p**2 + 11796*p - 14980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-29))\/(2*(-6)\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 3, s: 2, o: 4, y: 1, v: 3}. Give prob of picking 2 q.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 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: What is the cube root of 429931 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29589 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (72\/20)\/(3\/165)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/120*20\/(-3)*336\/(-120).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4082 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.3409 + 1666.\nAnswer: 1654.6591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 16?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 3*q**2 - 441*q + 441*q.\nAnswer: 3*q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8557 divided by -6.\nAnswer: -8557\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + 0 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8018 - -0.0018. What is v rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-5))\/(8 + 351\/(-45)). Let n(t) = -14*t + 69. What is the units digit of n(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*f = -186*f - 119. Solve d + 3 - f = -2*c, -3*d + 12 = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (1352\/65 - 11).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229183517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34.3401+-17\nAnswer: 17.3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 190212.6257 rounded to the nearest 100?\nAnswer: 190200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -23. Suppose -n*s = -10*s - 8. Solve -s*i = q - 6*q - 41, 3*q - 5 = -5*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, -36632, 51, 2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863853746?\nAnswer: 2, 7, 43, 127, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22848 and 2912?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150970186*j**2*w - 29821*j*w - 2546*j wrt j?\nAnswer: 301940372*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 26. Let r(s) = -s**3 - 9*s**2 - 11*s - 20. Let t be r(v). Find the second derivative of 8*i**4 + i**4 - i + 10*i**t + 22*i wrt i.\nAnswer: 228*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1201\/296 + 534\/37. Find the common denominator of i and -75\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 36, -1, -3\/53, -3, -14, -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/(-25)*80\/24. Put 5, 1, 0.5, d in decreasing order.\nAnswer: 5, 1, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = 16. Suppose -3*d + 102 - a = k, -4*d + 5*k = -86. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29119, -58160, -87201, -116242, -145283, -174324?\nAnswer: -203365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**3 + 85*h**2 - 7*h + 7. Let u(s) = 2*s**3 + 42*s**2 - 4*s + 4. Calculate -4*j(a) + 7*u(a).\nAnswer: -2*a**3 - 46*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(((-43)\/(-129))\/(1\/(-3))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 602 + 64. Is 37 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) -3\/23 (b) -1 (c) -0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3387 and -151\/1980.\nAnswer: 2235420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 221111102100202?\nAnswer: -221111102101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*g + 84*g + 73*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -1\/6, -0.4, -8, 13, -1\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 37*y. Let a(n) = 408*n. Calculate a(d(b)).\nAnswer: 15096*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13962 less than 83765\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13407\/(-410) + 33 - (-495)\/(-650).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 8*x**2 + 9*x - 6. Suppose 2*p - p = 7. Calculate the lowest common multiple of 1 and f(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201113120 (base 4) in base 12?\nAnswer: -67108","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*j - 15*j + 15. Let g(o) = o**3 + 5*o**2 + 6*o + 5. Let x be g(j). Solve -2*p + x*p - 9 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 177, 376, 595, 834, 1093, 1372, 1671?\n\"Answer: 10*g**2 + 169*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -5*f + 4*q, -3*f - 5*q + 17 = -q. Let p = 14 + -3. Find the second derivative of f - p + a**3 - a wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2*(-167)\/2)\/(-1).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*y - 72*y = -4*x + 19, 0 = 4*x - 4. Let i(k) = -k**2 - 4*k - 1. Determine i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 2. Let i = p + 10. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22564264 and 4.\nAnswer: 22564264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*54\/(-459)*(-14)\/((-168)\/(-522)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y + 22 = -5*n, 0 = 5*n + 10. Let t = y - -95. Suppose 4*a + 40 + 6 = 2*p, 4*a = 5*p - t. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32172 = d - 4*x, 474 - 489 = -5*x. Does 54 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 188620139984?\nAnswer: 188620139981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:36 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 25 + (-27 - -39) + 9.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 4*w = 99, -140*n + 108*n + 4*w + 564 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 + 14*o**2 - 8*o**2 + 2*o**2 - 4*o + 4*o + (-5*o**2 + 4*o**2 - o**2)*(1 + 1 - 4) + (5*o - o - 3*o)*(0*o - 5*o + 3*o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10009, -9941, -9827, -9667, -9461, -9209, -8911?\n\"Answer: 23*o**2 - o - 10031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 5.4. Let u = 112 + -113. What is the second smallest value in u, w, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -135*w + 3794. What is t(28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11374 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -48400*i**4 + 973720*i**3 - 1432809*i**2 - 17981824*i - 21697151 = 0.\nAnswer: -427\/220, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 0) + (5 - 1) + -2. Is g\/(-3)*(13 + -172) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u + 1. Let h(m) = 2*m + 1. What is -3*h(p) + 2*t(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -134317 (base 8) to base 13\nAnswer: -186c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/3, -1, -0.32, -2\/41, 20\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, z: 2, i: 4, a: 1}. What is prob of picking 2 i, 1 g, and 1 z?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -202*-20.62056\nAnswer: 4165.35312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -70. Suppose 4*k - 45 = -y. Suppose -47 = l - k*l. What is the remainder when l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 4, d: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by 9380.\nAnswer: 31\/4690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -47*c + 329. Determine z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 321*p - 340*p - 69 = 0, 3*p - 2 = -2*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, w: 12}. Give prob of sequence wjw.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (5 + -8)) + 7 - 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12468 and -5243660.\nAnswer: -5231192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**4 + 41385*x**3 + 908943*x**2 - 1033113*x - 1900674 = 0.\nAnswer: -13773, -23, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, j: 2, w: 3, p: 4}. Give prob of sequence ujjw.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-14)\/(-35) + 33\/5. Solve -p*z - 4*d - 3 = -6*z, -5*z + 2*d + 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -980288, -1960578, -2940868, -3921158, -4901448?\n\"Answer: -980290*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k - 8*k + 7*k**2)*(3 - 2 - 2).\nAnswer: -7*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 1, n: 1, l: 1, s: 1, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 19*o**2 + 1404*o + 1255. What is n(-73)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.0414ng in milligrams?\nAnswer: 0.0008070414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 55*r + 400 = -18*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - (-92 - -48)) + 23\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987*p - 351*p - 22896 = 0 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.04 + -173.921.\nAnswer: -162.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a*l**6 + 6*a*l**5 - 40*a*l**2 + a wrt l?\nAnswer: 600*a*l**3 + 360*a*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*-7067.\nAnswer: -1060.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 13) in base 12?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3664*c*p**3 - 5*c*p**2 - 31*c - 3*p**3 + 3*p**2 - 9*p - 4421 wrt p.\nAnswer: -21984*c*p - 10*c - 18*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 39*r = 41*r + 17, -b + r = -6. Let s(c) = 6*c**3 + 7*c**2 + 2*c - 5. Let k(d) = -d**3 - d**2 + 1. What is b*k(a) + s(a)?\nAnswer: a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-106 - 116 + 179)*(-3 + 3 + f) as r + b*f and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4027? (a) 0.5 (b) 4 (c) 139018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-688)\/68 - (-6)\/51. Let c be 1*(-6)\/n*-1. What is the third smallest value in 1\/4, 3\/2, 0.2, c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 459908608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*n**3 + 1371848*n**2 - 2904405448*n + 573656192 = 0 for n.\nAnswer: 16\/81, 4234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 8*y = -7*y + 2, 4*z + 4*y - 24 = 0. Solve -2*v - 3*f - 34 = -7*v, 2*v + z*f + 2 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + 1*((sqrt(1377)*-1 - sqrt(1377)) + sqrt(1377)) + sqrt(1377)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**4\/4 + 5*g**3\/3 - 3*g**2\/2 - 4*g - 248. Let f be -1 - 1 - -2 - -3. Suppose -6 = -f*o + o. What is q(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 173, -2, 4, -12, 0 in increasing order.\nAnswer: -12, -5, -2, 0, 4, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0980750763 to 5 decimal places.\nAnswer: 0.09808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five quarters of a gram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 193. Let u be l(62). Let o(q) = -q**2 - 4*q + 27. Calculate o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -68, 16, 118, 244?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430060219?\nAnswer: 7, 204294317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/360 + p**5\/60 - p**4\/3 + p**3 - 6*p**2. Let m(o) be the first derivative of y(o). List the prime factors of m(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/a)**(-50)*a**(2\/51)*(a*a**(-5\/7)*a)\/a assuming a is positive.\nAnswer: a**(-35584\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*b + 165 = -248*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/5 + 5543*n**4\/5 + 7165008*n**3\/5 - 1275633144*n**2 - 13108562973072*n\/5 + 2622986793648 = 0. What is n?\nAnswer: -2238, 1, 1170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {k: 1, i: 2, z: 1, w: 1, s: 1, g: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53.7 + -51.7. Suppose 16*s = -5*s - 63. Which is the closest to s? (a) h (b) -2 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2388 rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12169 - -12172. Put o, -103, 5, -1, 0 in ascending order.\nAnswer: -103, -1, 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000111111111 (base 2) to base 14.\nAnswer: -1583d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -283272*v + 554578 wrt v.\nAnswer: -283272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 289 + -82. Let q = -96 + l. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1801, -1929, -369, 2879, 7815?\n\"Answer: 844*a**2 - 2660*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/40)\/((-2)\/8). Let u = 3.08 + -0.08. Let a = 3.4 - u. What is the second biggest value in -2\/5, g, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1957 + -1953. Sort -77, t, 5, -4 in descending order.\nAnswer: 5, t, -4, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 111, 112, 113?\n\"Answer: a + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -3, -0.1, -22 in ascending order.\nAnswer: -22, -3, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2) + 51\/34. Let n be v\/(-11)*2\/(-4). Solve n = 5*y - x - 4 + 10, 14 = -y - 3*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, b: 2, e: 2, w: 1, n: 2}. Give prob of sequence ncen.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g + 30 = 0. Suppose g*d = 1 - 41. Put d, 2, -1, 1 in descending order.\nAnswer: 2, 1, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -12. Which is the smallest value? (a) 1 (b) d (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4065943, -4065942, -4065939, -4065934?\n\"Answer: j**2 - 2*j - 4065942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*n**3*s + 21688*n*s + 2*n + 7910*s - 25 wrt n?\nAnswer: 36*n**2*s + 21688*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32943)\/(-11259) + (168\/81 - 2). Let n = -1 - 2. Put n, s, 0, -5 in descending order.\nAnswer: s, 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + n = -180, m - 2*n - 2*n = 30. What is the highest common divisor of m and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y + 3. Let m(p) = -27*p + 12. Let n(s) = -9*i(s) + 2*m(s). Does 10 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*l**3 - 9*l**2 + 262 - 12*l**3 + 9*l**2 with respect to l.\nAnswer: -291*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**5 - 4818*c**4 - 1008*c**2 - 262*c - 5988.\nAnswer: 40*c**3 - 57816*c**2 - 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.25 - -0.05. Let z = u - 1.3. Let g = z - 0. Which is the nearest to -1? (a) -0.2 (b) 2\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6)*28035\/890)\/(3\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 20372*s**3\/7 - 122216*s**2\/7 + 162880*s\/7 + 128\/7 = 0?\nAnswer: -4\/5093, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*3*(sqrt(700) + -5) + -4 + (sqrt(700) - (-4*sqrt(700) + -3))).\nAnswer: -30*sqrt(7) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45473 + 656*h - 79*h + 45473 - 160*h.\nAnswer: 417*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/3)\/11*3*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*b + 4 - 18 = -14 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p**4 + 86*p**3 - 5*p**2 + 13*p + 96. Let n(s) = 3*s**4 + s**3 - s**2 + 3*s. Let o(w) = d(w) - 5*n(w). Find the second derivative of o(m) wrt m.\nAnswer: 12*m**2 + 486*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 245270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12080 - 7021. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1\/7, -5, 2\/3.\nAnswer: -5, -2\/9, 1\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -0.650064?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -182 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 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: Solve 11*l + 78 - 36 = -2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-90)\/(-1224)*2\/5*11354. Let j = i - 334. Which is the smallest value? (a) j (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 4*o - 11*o)*(-6 + 7 - 22*o - 25*o - 8*o).\nAnswer: 550*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 13 = -0*w - 2*a, 4*w - a = -19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let y(h) be the first derivative of h**6\/360 - h**3\/3 + 2. Let l(n) be the third derivative of y(n). Determine l(m(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*m + 20 = -207*m. Let y = 2 + 1. Solve 1\/3*b + 1\/3 - 5\/3*b**y - 2\/3*b**4 - b**m = 0 for b.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 16*y**2 + 11*y - 41. Let b be w(13). Let s = 0 - 0. Suppose -2*o + 1391 + b = s. Round o to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001100110110 (base 2) to base 5.\nAnswer: -124133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + 5*f)*(7*f - 5*f + f)*(2 + 1 - 4) + f**2 - 2*f**2 + 2*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1791, 3440, 6197, 10068, 15059, 21176, 28425?\n\"Answer: p**3 + 548*p**2 - 2*p + 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**3 - 3*k**2 + 10*k - 4. Let m(a) = 3*a**3 - 2*a**2 + 5*a - 2. Suppose 3 = -j + 8. Let x(z) = j*m(z) - 2*t(z). Does 19 divide x(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5035699036?\nAnswer: 2, 23879, 52721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4*(-24)\/(-64))\/((-3)\/10). Solve -4 = 4*w, 4*c - o*w = -2*w - 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 5:21 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/(-1*3\/3). Let l(m) = 6*m + 4. Let t be l(-4). Which is greater: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38*18\/(-8))\/((-128061)\/(-28458))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24339125 to the power of 1\/2, to the nearest integer?\nAnswer: 4933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((110\/(-33))\/(-10))\/((-2)\/(-24)). Factor 3*y**4 - 5*y**5 + 0*y**5 + 6*y**5 - 10*y**3 - 3*y**5 - 11*y**4 - q*y**2.\nAnswer: -2*y**2*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91631065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28028948.\nAnswer: 2, 43, 89, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-4))\/(31\/(-186))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/11)*j*j)**1*j**(1\/3)\/(j\/(j\/(j**(-3)*j*j))*j*j))**(-16))**3 assuming j is positive.\nAnswer: j**(-608\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1870 and -61\/34.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 470454*i - 2822725. Calculate g(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1263 - 3791\/3. Which is the fourth smallest value? (a) 0.4 (b) 45 (c) -0.4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49.49 - -116.66. Let t = d - 67. Let s = t - 0.07. Which is the closest to 2\/5? (a) 1\/5 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-12))\/((-6)\/24). Suppose -16*o = n*o - 1501. What is the greatest common factor of o and 1027?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11513 + 11516 - 23029 + 13391*t in the form y + g*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psrcrcppqp. Give prob of sequence cc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2909 + 2911. Solve -5*r + 3*q - 20 = 6, -z = -r - 3*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 8 = -10. Let o(t) = 5*t**2 + 8*t**2 - 4*t**2 - 9. Let w(q) = 4*q**2 - 4. Suppose -4*b = -y + 3, 2*b - 3 = 2*y - 15. Give n*o(s) + y*w(s).\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -148340 divided by -578?\nAnswer: 74170\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426.026055 minus 29.2?\nAnswer: -1455.226055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.58 take away -9.9?\nAnswer: 12.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 3*r = -10. Suppose -r*h = h + u - 26, -h = -5*u + 2. Let x be -2*4\/(h\/(-39)). Calculate the greatest common factor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 80 = -3*s + 2*l, -l - 129 = -5*s. What is the highest common factor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3 + 4 - 2*r + r + 27*r**2. Let q(h) = -80*h**2 + 3*h - 3. Let i(o) = -4*q(o) - 11*y(o). What is the units digit of i(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -18*c + 17*c + 5*z, 5*c + 4*z - 9 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -6*m + 107. Factor 24 + 16*v**2 - 8*v**4 + 67*v - m*v - 14*v - 24*v**3 + 4*v**5 + 23*v.\nAnswer: 4*(v - 3)*(v - 2)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -19*t**2\/8 + t\/4 = 0.\nAnswer: 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 8 = -i - z, 0 = -2*i - 3*z + 14. Let k = 12 - i. Suppose -3*w - 3*b = -0*b - 561, -k*b + 183 = w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1872))*6 + 3 + 5 + sqrt(1872))**2.\nAnswer: 336*sqrt(13) + 91732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2266431 + -3028357. Let n be 36\/45 + h\/10. Let d = n - -364478. Round d to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (-30 - (-7 + 0)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i = 118*i + 427 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 889 or 30.0748?\nAnswer: 889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.651 to one dp.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(0 + 0 + sqrt(567) + 1 + sqrt(567) + 4))**2.\nAnswer: 180*sqrt(7) + 2298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2*x**3 + 167. Let z(n) be the third derivative of 0*n**4 + 0*n + 1\/20*n**5 + 3*n**2 + 0 + 0*n**3. What is z(j(r))?\nAnswer: 108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6338924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 37, -4, 4 in descending order.\nAnswer: 37, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(2 - 2 - 10*q) to the form y*q + r and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*o**3 - 29*a**3 + 5*a**2*o - 8*o**4 wrt o?\nAnswer: -18*a**3*o - 96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3864534 is divided by 78?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 38.97?\nAnswer: -2.3382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 59 + -1 + (-1)\/1. Suppose 0 = 3*t - v. Let n = -184 + 317. Calculate the greatest common factor of n and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10556551633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4}. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -3, -0.2, -45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**7\/840 - p**6\/90 - p**5\/60 - p**4\/6 + p**3\/3 + p. Let q(f) be the second derivative of s(f). Is 5 a factor of q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 53 = 7*i, 13*i - 520*l + 521*l = -59 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5745 at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1078 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7110171281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -21*u**2 + 48*u**2 - 28*u**2 - 6*u - 74 + 72. Calculate q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -46\/109 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 20. Let k = x + 7. Let q = 17 + k. What is the lowest common multiple of q and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51394 is divided by 17131.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-912)\/(-14) + (-66)\/(-77). What is the greatest common factor of o and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 3) to base 4\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28, -112, -258, -472, -760, -1128?\n\"Answer: -y**3 - 25*y**2 - 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055165 divided by 4255?\nAnswer: -483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/3 - 8761*r**2 + 70072*r - 420400\/3 = 0.\nAnswer: 4, 26275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -84\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 94050 divided by 114\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 2 + (-52)\/13. Let m(n) = -n**2 - 1. Determine m(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11620, -23199, -34704, -46099, -57348, -68415?\n\"Answer: 6*f**3 + f**2 - 11624*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -10. Let z = -2 - t. Suppose -72 = -7*f - 29*f. Put -2, z, f in decreasing order.\nAnswer: f, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 11*l**3 + 6*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -4. Let i = -53\/18 - -4\/9. What is the biggest value in k, 0, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:44 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(171)*3)\/((sqrt(360)\/(sqrt(32)\/sqrt(4)))\/sqrt(5)).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19662 and 58986.\nAnswer: 58986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63.25749 - -64.6574866. Let i = 170 + -168.6. Let n = d - i. Round n to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - s - 41702 = -41723, -3*o - 79 = -4*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*j - 34*j - 39*j)*(-29*j + 30*j + 5*j**2 - j**2)*(-3*j + 6*j - 4*j).\nAnswer: -56*j**4 - 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -4. Let a = v - -7. Solve -a*j = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = 2*l. Let b(w) = l*w - 3*w - w. Let n(m) = 2*m. What is n(b(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - 5*b - 4. Let k(w) = 3*w**2 - 5*w - 3. Let i(f) = 2*a(f) - 3*k(f). Let s be 2008\/28 + (-9)\/(126\/(-4)). Suppose s = -u + 19*u. What is i(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -4) + (-24)\/8. Let f be (7 + -7)*2\/m. Solve f*p = -p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 i, and 1 w when three letters picked without replacement from {b: 2, m: 1, w: 1, t: 2, i: 1, u: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 136181431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0238 - -0.0438. What is the biggest value in q, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -147944959*l**2 + 64040570?\nAnswer: -295889918*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + 3040?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338022?\nAnswer: 2, 3, 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 14*v = -30 - 14, -2*v + v = r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15756 and 988?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*13\/((-2275)\/(-28))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + 3.2. Which is the second biggest value? (a) -25 (b) 0.2 (c) n (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.83 - -2.93. Put o, 2, 11, -2 in descending order.\nAnswer: 11, 2, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92722?\nAnswer: 2, 7, 37, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6)*2 + (2 - 3). Let j be -2 + g + 10\/2. Solve 0 = -5*p + 4*p + j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -356, -359, -364, -371, -380?\n\"Answer: -r**2 - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -461\/21 - -100\/7. Let o = -67\/9 - t. Which is smaller: o or 6\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 q when three letters picked without replacement from {j: 6, t: 1, q: 4, x: 3, d: 1, f: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.93512618 to 2 decimal places.\nAnswer: -2.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -133.2 - -133.989. Let x = 0.289 - y. Which is the closest to -0.1? (a) -4\/3 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/((-3)\/9). Let a be 10 + (-1 - -2)*m. What are the prime factors of (a*-2)\/(0 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(4)*-1)*2 + -3 + 3 + -1 + sqrt(11) + 5*-3*(sqrt(66)\/sqrt(50))\/sqrt(3))**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -16*c - 380. Calculate j(-26).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*12\/((-16)\/8). Let p be (-10)\/(-4)*(g - (-1 - 7)). Sort 1, p, -0.8 in decreasing order.\nAnswer: p, 1, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Let l(u) = -u**2 - u + 2. Let x be l(v). Suppose -4*q = 2*d - 10 - 12, 0 = q + 2. Solve x*j = -3*h - j, 4*h = j + d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2355947*o. Let f(w) = -59*w. Determine s(f(i)).\nAnswer: 139000873*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -6. Let z = y - 7. Let m be z\/10*(-6)\/(-9). Is m greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6212 - 1642 = 0. Suppose 4*v = 5*q - d, -q + 4*v + 402 + 528 = 0. Suppose -4*j + 1023 = n, -3*j - 4*n - 159 = -q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 1. Let j be c(-1). Let a = -7 + 11. Let z = 2 + 6. Solve 0 = r + 2*h - a*h + 8, -j*r - 4*h + z = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.075827.\nAnswer: -0.0303308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204658, 818676, 1842032, 3274720, 5116734, 7368068?\nAnswer: 10028716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 1 - 6 + 0*k - 10*k + 9*k to the form j*k**2 + i*k + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 93*h - 49*h - 33*h.\nAnswer: h**2 + 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -9. Let q(r) = -r**3 - 7*r**2 + 8*r. Let n be q(-8). Suppose -z + 81 = -n*z. What is the greatest common divisor of z and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 - -0.1. Let h = 0.039 - 43.039. Let y = 45 + h. What is the second biggest value in y, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 7:02 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-5)\/(70\/(-28))). Is 4\/55 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 17 + 1. Let j be 1\/q + (-765)\/(-12). Let m = 25 - 17. Calculate the highest common factor of m and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h*y**3 + 2*h*y - y**3 - 4*y**2 + 1 wrt y?\nAnswer: 36*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-512)\/80)\/(-16))\/((-12)\/10)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 978*u**2 - 3830*u**2 to the form w*u + s + h*u**2 and give h.\nAnswer: -2852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -t + 36 + 61, -4*t - 102 = -o. Let r = o - 58. Suppose -4*i + 5*a = -40, 3*a - r = -4*i - a. Solve -h = 3*n + n - 18, 0 = -3*n + h + i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -49. Solve 4*v + 14 - g = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 74*c**3 + 70*c**3 + c + 0 - c**4 in the form t*c + b + m*c**3 + g*c**2 + x*c**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3717 is divided by 186?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.821005 weeks in days?\nAnswer: 12.747035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51 - ((-8)\/(-2) - 8). Let o = u + -45. Suppose o*f - 491 = 569. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2623.\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6 and -14\/17515599.\nAnswer: 35031198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b, 0 = y + 3*b - 1251 - 146. List the prime factors of y.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2031138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.003 * 0.96\nAnswer: 0.00288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/7, 21, 3\/4, 99 in increasing order.\nAnswer: 3\/4, 8\/7, 21, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(-2*b + 3*b - 2*b) + 13*b - 1 - 6*b - 13*b.\nAnswer: -5*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) 0.4775 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 5:34 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 + 19*j + 12*j + 12*j + 4*j - 252 - 10*j = 0 for j.\nAnswer: 9, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -34*z**3 - 2*z**2 + 14*z - 3. Let g(o) = 34*o**3 + 3*o**2 - 21*o + 4. Calculate 2*g(k) + 3*y(k).\nAnswer: -34*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/5 + 4*q**4\/5 + 4*q**3\/5 - 8*q**2\/5 - 2*q\/5 + 4\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**3 - 4 + 4)*(3*i - 2*i - 3*i)*(-i - 4*i + 0*i) + i**5 + 0*i**5 - 2*i**5.\nAnswer: -61*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -44.61. Let y = -0.39095 - c. What is y rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -6. Let o be 2160\/35 + 2\/m. Suppose 5*c + 270 = 5*y, 2*y - y - 3*c - o = 0. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:19 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -46. Let w = 51 - t. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*b - 12, 3*b - 2*p - 7 - 1 = 0. Suppose 7*q - 3*q = -4*t + 36, -5*t = -b*q. Suppose t*m + 8 = 28. Put m, 2, -6 in ascending order.\nAnswer: -6, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 28 = -c. Let j = c - -5. Let f = 8 + j. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 47*h - 7. What is i(2)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2731 (base 9) to base 4.\nAnswer: -200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -7*u**4\/3 + 142*u. Let i(m) = -81*m. Determine i(p(s)).\nAnswer: 2268*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + s + 128. Differentiate -s + 70*c - 17 - 58*c wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82624, 165247, 247868, 330487, 413104, 495719, 578332?\nAnswer: 660943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from eeddde?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkdk. What is prob of sequence kd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.568688 and -0.166.\nAnswer: 0.094402208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*c = -20 - 8, -3*q + 56 = -5*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5270)\/(-186) + (-365248)\/12864?\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34532, -138064, -310602, -552146, -862696?\n\"Answer: -34503*v**2 - 23*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/355 - -216\/355. What is the biggest value in 0.5, j, -5\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788353.38 minutes in days?\nAnswer: 547.467625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 3 = 5*t. Let a = 22 + t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 12.5 (b) 8 (c) 1.5 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5 = 2*z, -4 = -5*z + 4*m - 3. Let v = 227.41 - -4.59. Let f = -232 + v. What is the nearest to z in -5, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -50, 137, 468, 943?\nAnswer: 1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*b + 15 = -113, -3*b + 51 = g. Suppose 0 = m - 2*m + 53. Suppose -4*f = -m + 5. Calculate the highest common divisor of g and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-12)\/(f\/((f\/(f*f\/f**6))\/f))*(f\/((f\/(f\/(f*((f*f*f*f\/(f*f*f**0)*f)\/f)\/f)))\/f)*f*f)**(17\/4) assuming f is positive.\nAnswer: 1\/sqrt(f)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.41, 303\/5 in decreasing order.\nAnswer: 303\/5, 0.41, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 4:55 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 8*r**2 - r + 6. Let f be t(8). Let i(h) = 4*h**2 - 5*h - 5. Is i(f) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1350? (a) 0.3 (b) -0.5 (c) 23 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294720 = 135*o - 39*o. Which is greater: o or 3071?\nAnswer: 3071","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -5880073094?\nAnswer: -5880073088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -316, -523, -730?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2744 and 182525?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 6*c**2 - 5. Let u be t(-5). Calculate the common denominator of 91\/8 and (5\/u)\/((-10)\/(-296)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-3 - 3) - -2) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1330*c + 40. Let p be n(5). List the prime factors of 18\/(-198) - -2*p\/44.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*w + 6*w**2 - 39*w + 1 - 1 - 158*w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1\/5, 9, 1\/17, -2\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19250662?\nAnswer: 2, 599, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 54*d**2 + 174*d - 173. Let o be a(57). Suppose 0 = 4*u - u - 2*r + 65, 4*r + 20 = 0. Put o, u, -4, 2 in decreasing order.\nAnswer: 2, o, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 387818?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446 = 14*o - 44 + 140 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 415\/146 - 931727\/322806. Let g = b - 2\/2211. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11205829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000752802958 to 6 decimal places.\nAnswer: 0.000753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Let c = -6 + m. Let l(s) = -2 - s**2 - 2*s - 3*s + 0*s**2. What is l(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7263 + -4362. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 13*o**2 + 4*o + 1. Let d be m(-1). Solve d*p = 3*p + 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - 5*z)*(z - 5 + 5).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**4\/24 + s**2\/2 - s. Let f(l) be the first derivative of u(l). Let o(w) = -3*w. Calculate f(o(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 22)\/(34 - 36). Suppose 2100 = -l + z*l. Is l a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 33 = 27. Is (0 + (0 - -989))\/(g - -21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/54)\/(2 - 12\/9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 plus 63?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 187, 171, 143, 97, 27, -73?\n\"Answer: -x**3 - 9*x + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -801 at most -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**3\/2 + 41*j**2 - 79*j\/2 - 81 = 0.\nAnswer: -1, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -4) + 0 - -1. Suppose -t*h + 18 = -10. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/3 - 52\/78. Put b, -5, -2, 6 in decreasing order.\nAnswer: 6, b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-12))\/(34\/510)*(-112)\/(-35).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p = -3*x + 48, -5*x - 46 = -4*p. Suppose 2*k - 29 = -53. Let r be k\/12*(4 - 46)\/3. What is the greatest common divisor of r and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 4, v: 8}. Give prob of picking 1 r and 2 w.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128787 + -49840474\/387. Let y = -1\/43 + s. What is the smallest value in y, 1\/10, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 9*x + 12*x + 12*x + (x - 3*x + 3*x)*(-2 + 1 + 0).\nAnswer: 14*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6.9 * -0.3\nAnswer: 2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j + 5*q + 0*q - 38 = -168, -4*q = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 10:37 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 189.28 - 3.28. Let p = t - 186.592. Let v = 0.49 + p. What is v rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 10 + 2 - 74*j.\nAnswer: -74*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -1\/6, 0.5, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3323*y**3 - 14671*y.\nAnswer: -19938*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*g + 32, 3*g + 0*g + 5*w + 40 = 0. Let l = 100 + g. Suppose 0 = 8*b - 3*b - l. Calculate the greatest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83420\/10737 - 10\/1193. What is the common denominator of -56\/11 and g?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1183, 2, 1, -666 in increasing order.\nAnswer: -666, 1, 2, 1183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 2 + 27*j**3 + 3*j**2 - 1 - 3*j**2 - 2*j. Let f be t(1). Solve y - 5*z = -0*y - f, 2*y + 5*z = 21 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -w, -3715*s + 3*w - 6 = -3708*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526490 less than -3562504?\nAnswer: -4088994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + ((-1)\/1 - -3). Suppose 4*g - p*g = 110. What is the remainder when g is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 51*p**2 + 2*p. Let j(m) = -663*m**2 - 27*m. Give -27*b(r) - 2*j(r).\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-b - 2*b**2 + b)*(46 - 46 + 6*b) + 1 + 2*b**3 - 1)*(-3 + 9 + 18).\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t*t**(-17\/4)\/t*t)\/t))**43 assuming t is positive.\nAnswer: t**(1075\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 4 - 4)*(-b**2 + 4*b**2 + 0*b**2) - 3*b**5 + 4*b**5 + b**5 + 425*b**3 - 140*b**5 - 425*b**3.\nAnswer: -132*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((6\/10)\/(28\/(-140))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 11.1. What is the third biggest value in -2, f, -3, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(16\/4)*57700\/(-20772)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/168 - (-470)\/525. Find k, given that 1\/5*k**3 + 4\/5*k**2 + 0 + z*k = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/5 + 3*q**3\/5 + 3*q**2 - 19*q\/5 - 6 = 0.\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/6 - 2\/(-6). Suppose -2*n + k + 3 = 0. Solve 3*c**3 - c**3 - 6*c**3 - 2*c**2 - 2*c**n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8155609 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Which is greater: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 376*h**2 - 177*h**2 - 196*h**2. Let t(q) = -603*q - 1. Give t(m(g)).\nAnswer: -1809*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 + 0 = -4*t + 4*v, 0 = -v + 5. Solve 141 = 2*z + t for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide ((-2)\/(-4))\/(((-13)\/(-204))\/13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 - 10569*q + 21150 = 0. What is q?\nAnswer: -3525, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1897316740 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 2\/15 (b) -4 (c) 0.01 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/2)\/(1\/2). Let d = 33 + -28. Let r = d - a. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -4*m - 24 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*r - 365*r = -9882. What is the remainder when 1041 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26493616.\nAnswer: 2, 17, 257, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o + 22 = 0. Let z be 14\/6 - (-8)\/12. Suppose -q + 4 = r, -z*q + 5*r + o = -22. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8528996 weeks to hours.\nAnswer: 143.2871328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81090*i + 24*i**2 - 40541*i - 40547*i.\nAnswer: 24*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13638, -14917, -16184, -17439?\n\"Answer: 6*x**2 - 1297*x - 12347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1322 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 792*p**2 - 17*p**3 - 200*p - 392*p**2 - 400*p**2 + 77*p to r + d*p + l*p**3 + o*p**2 and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 16 = -3*c. Suppose -c*o - d = -12, o - 30 = -4*o - 5*d. Suppose -o*k = -8*k. Solve 2*a = -3*q, -4*a = 3*q - k*q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 22*h**5\/5 - 77*h**3\/3 + h**2 + 4896*h + 5650. What is the second derivative of q(j) wrt j?\nAnswer: 264*j**2 - 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4182862*b + 2091512*b + 9*b**2 + 2091350*b.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 22 = m, g = 5*m - 0*g - 88. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.458 and -1.\nAnswer: 0.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*q + 643071 - 643071 as r*q + v and give r.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001098453 to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**6\/85 - 19*n**5\/170 + 7*n**4\/34 - 5*n**3\/51 + 2869*n. Suppose o(g) = 0. Calculate g.\nAnswer: 0, 1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/5 in -0.5, -1492, 69?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -131*q - 136. Let j be z(-1). Let g = -128\/3 - -42. Sort -3, g, j, -1\/4 in increasing order.\nAnswer: j, -3, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 12. Let b be f(4). Solve b = -4*c + 4, 2*k = -2*k + 4*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4653 - 2102 - 682 = -89*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u + 16 = v, -5*v + 5*u = 0. Suppose 0 = 4*l - o + 5*o, v*l = 4*o + 32. Suppose -3*q + 70 = 2*q. What is the smallest common multiple of q and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.022, -48.95, 2, 5\/11 in ascending order.\nAnswer: -48.95, -0.022, 5\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268262.\nAnswer: 2, 3, 70459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 144644538 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3\/8 - 7068933*k**2\/4 - 16656576310395*k\/8 + 16656632861907\/2 = 0.\nAnswer: -2356313, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1281 and 3660?\nAnswer: 25620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 2*u - 70. Let j(v) = 3*v**2 + 5*v + 211. Let s(q) = 4*j(q) + 11*w(q). What is the units digit of s(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from {p: 3, m: 2, h: 4, b: 2, i: 4, w: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*v + 232, 5*f - 4*f - 77 = -v. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 22.8. Let k be 1 - (9\/(-2))\/(-3). Let u = -5 - -4.8. What is the closest to u in k, 3, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16290720 and 4320.\nAnswer: 16290720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/32 and ((-492)\/(-1840))\/(72\/(-60)).\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 195.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5386 (base 13) in base 4?\nAnswer: -2311102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 372058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.5 - -5. Let f be (((-12)\/(-40))\/3)\/((-1)\/2). Suppose 2*o - 6*o = 8. Which is the second smallest value? (a) r (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3084 = -225*w + 23241. Let d(t) = t**3 - 7*t**2 + 7*t - 6. Let j be d(5). Let v = j + 34. What is the greatest common divisor of w and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*b = j - 19, -3*b = j. Let q(w) = -w**2 - 5. Let x(v) = -v**2. Let m(n) = j*x(n) + q(n). Differentiate m(p) wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 957, 959, 961, 963, 965, 967?\n\"Answer: 2*i + 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 3\/600602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 1688, -3, 4 in ascending order.\nAnswer: -3, 1, 3, 4, 1688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 6*g**2 + 21*g - 100. Let r be x(10). Let v = 2124 - r. 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 be (-64)\/48*2\/4*15. Let p be ((-8)\/(-6))\/(2\/(-27)). Let v = t - p. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 55*m**2 - 216*m + 549. Let f be v(89). Round f to the nearest 1000.\nAnswer: 417000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/9 + 20*g**3\/9 - 2*g**2\/9 - 20*g\/9 = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.028, 0.5, 0.175, 1\/9?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-2 + 2 + 2*v) + 1 + 8*v - 4 + 1.\nAnswer: 12*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 57*l + 179. Determine j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48363 (base 11) to base 15.\nAnswer: 1597e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864)*-1 + sqrt(864) - sqrt(864) - sqrt(864))*-5 - -1*sqrt(864)*-3)\/(4*(sqrt(2) - -1*sqrt(2)) + (sqrt(2) - sqrt(242)*3))*-5.\nAnswer: 35*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23315, -23356, -23421, -23510, -23623, -23760, -23921?\n\"Answer: -12*m**2 - 5*m - 23298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3631952?\nAnswer: 2, 43, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*t = 5, -t - t + 12 = -5*s. Let q(f) = -2*f + 1. Let o be q(2). Let k = 80 - 80. Put k, o, s in increasing order.\nAnswer: o, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39640 and 13670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 3:32 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u - 7*u + 8*u)*(-1 - 4 + 4).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 8*m**2 + 2*m - 164. Is a(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*l**2 - 104*l**2 - 227*l**2.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 113b + -121053?\nAnswer: -11cc15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcififccfc. What is prob of picking 1 c and 1 f?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 156?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -406, -915, -1424, -1933, -2442?\n\"Answer: -509*r + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 18*l - 5 - 5*l in the form f*l + q and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -701, -1389, -2077, -2765, -3453?\n\"Answer: -688*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 = -2*k, 5*w - 15 = 6*k - k. Sort w, -0.2, -0.3 in descending order.\nAnswer: w, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (134*q - 138*q + 108 - 13)*((3 - 2 - 2)*(-1 - 2*q + 1) - q + 5 - 5) in the form y*q + f + t*q**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -64 + 2*p + 5*p - 57 + 11*p. Let u be j(7). Solve 4*n = d - u, -2*n + 13 + 12 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 12 = -3*x + g, -2*x + 2*g = 0. Let z = 2.14 + 0.16. Let p = -1.3 + z. Which is the closest to p? (a) -0.3 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -370, -1312, -2882, -5080, -7906?\n\"Answer: -314*p**2 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(105)*2)\/(sqrt(3) + sqrt(6)\/sqrt(2)*5 + sqrt(3)))\/(-2*-1*sqrt(448)*-6))**2.\nAnswer: 5\/28224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 8. Is -1*(-31 - (g + -3)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 329. Let z = 461 - g. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-6)\/2 - 11\/11. What is the tens digit of 1\/(j\/(-2040)*-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9271.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 3*y - 3. Let x(b) = b + 7. Let m be x(0). Suppose 3*o = m*o - 12. Let c(h) = -4*h**2 + 5*h + 5. Determine o*c(a) + 5*g(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2 + 1249*m + 10. Let k(f) = 4*f**2 - 624*f - 6. Give -5*k(c) - 3*y(c).\nAnswer: 4*c**2 - 627*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25321466 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-6\/19)\/k)\/k*k**(-6)*((k\/(((k*k\/k**(4\/3))\/k)\/k))\/k)**(9\/2) assuming k is positive.\nAnswer: k**(-25\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172 - 170. What is the tens digit of 173 - 7 - 2*i\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-30)\/81)\/5. Let x = 0.3 - 0.2. Let v = -193 - -1739\/9. Put j, v, x in ascending order.\nAnswer: j, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:58 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 824 by -206.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (69048\/(-210))\/((-2)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**4\/n)*n**0)\/((n*n**(3\/7)*n)\/(n\/(n\/n**(3\/8)))))\/(n**3\/n**(-6)*(n**(-2\/7))**(-26)) assuming n is positive.\nAnswer: n**(-1147\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-1 + -5 + -12 + 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*v = -2*v - 4, -4*n = 4*v - 20. Suppose i - 6 = f - 2*f, n*f - i = 3. Solve 2*z - f = 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8*t = 15, 0*r - 3*r = t + 6. What is the third smallest value in 3, -6, r, -16?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/4)\/((-3)\/(-96)). Suppose -a = -5*a + 32. Is h greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 4*u + 2. Let d be f(4). Suppose d*v = 655 + 1179. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 + 8*l**2 + 27 + (-3*l + 0*l + l)*(0 + 2*l + 0) - 2 + 2 - 3*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)\/p)\/(p*p**(-4)\/p*p)*(p*p**(-2))\/((p\/((p\/(p\/(p*p\/p**(2\/29)*p*p*p*p)))\/p))\/p))**(-1\/18) assuming p is positive.\nAnswer: p**(-35\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 10*o**2 + 26*o - 10. Let v be a(6). Let j(n) = 12*n - 55*n - 9*n + 4. Let c be j(v). What is c rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:36 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1413 = 4*h + 2688 - 1371 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*h + 7110 = 237*h. What is h rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-198)\/(-88)*112\/588?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n. Let s(g) = -27*g**2 + 62. What is s(c(d))?\nAnswer: -108*d**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 15704 = 2*o, -2*a = 3*o + 6519 + 1337. Let h = a - -8778. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o + o**2 + 10*o)*(-5*o**2 - o**2 + 3*o**2) + 51 + o**4 + 36 - 25.\nAnswer: -2*o**4 + 62","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -224*z - 6662 + 41 - 771 = 0 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20631 and 30498.\nAnswer: -629204238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:23 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5235 at most -5235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12*t**3 + 3*t. Let q(d) = d**3 + d - 1. Let s(v) = -a(v) + q(v). Calculate the least common multiple of s(-1) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78517052 or -2?\nAnswer: -78517052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 422310921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490482.\nAnswer: 2, 3, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318226 is divided by 8374?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/14*(16\/(-6) + 3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, i: 9, l: 3, j: 2, p: 3}. Give prob of picking 1 l and 1 p.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 581?\nAnswer: 4648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - b + 4 = 0, 3*i + 0 = -5*b + 18. Sort i, -4, -5 in ascending order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 678\/5 - 135. Let m = -132.5 + 132.4. Let w = -1 - 0.1. Put m, w, p in descending order.\nAnswer: p, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4*(-15)\/(-150)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - -3 - -13 - (3 - 1). Suppose 7*g - u = 3*g. Factor 6\/5*f**3 - 2\/5*f + 0 + 4\/5*f**g.\nAnswer: 2*f*(f + 1)*(3*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - p + 30 = 0, 10*d - 6*d - 2*p + 3 = -d - p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-153)*-3*30\/(-25)*-5\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 7 + (-18 - (-186)\/26)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/50*((-14)\/14 - 4). Let v(c) be the first derivative of 12*c**2 - 9*c - 22\/3*c**3 - 10 - i*c**5 + 2*c**4. Suppose v(t) = 0. What is t?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1177*f - 31655. Calculate j(28).\nAnswer: 1301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 2 - (4 - 2). Let q = j + -3. What is the third derivative of 3*b**2 + q*b**6 - 12*b**4 + 12*b**4 wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 7:11 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-48) + (-4506)\/2016. Let c = i + 33\/56. What is the common denominator of -49\/160 and c?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m + 5. Let s be g(-8). Suppose 0 = 10*k - 1021 - 159. Let z = k - s. What are the prime factors of z?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 687.3797 grams?\nAnswer: 687379700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 40685.\nAnswer: 528905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in 1\/6, -0.3, 5, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.73 - 0.27. Let d = -13 - h. Which is bigger: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 74*a + 1. Let i be v(1). Suppose -i = -5*x - 2*b, 2*b - 5*b = 2*x - 19. Suppose 7 + x = 3*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29293277\/300 + -97644. Find the common denominator of -71\/40 and n.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, j: 7, e: 4, n: 5}. Give prob of sequence nne.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -1, -4, -6\/11, 4.25, 14?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) -6\/5 (c) 3\/12352 (d) -4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/50 - (1 + (-47)\/5). Suppose -z - j = z - 46, -g = -z + 3*j. Let u = 17 - z. Let k(t) = -t**2 + 4. Give k(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 71. Factor 2\/9*c**3 - 2\/3*c + 4\/9 + q*c**2.\nAnswer: 2*(c - 1)**2*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 18*a**3 + 31*a**3 + 25*a**3 + 0 + 26*a**3.\nAnswer: 64*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:44 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, d: 4, l: 8}. Give prob of picking 2 l and 1 d.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:33 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 44*i + 47. Let r be w(-23). Calculate the common denominator of ((232\/384)\/29)\/(r\/19) and 139\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/115872 and -55\/10863.\nAnswer: 347616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h + 4. Let t be ((-126)\/(-189))\/((-1)\/(-3)). Let u(r) = 4*r - 4. What is t*d(i) + 3*u(i)?\nAnswer: 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*7.398268.\nAnswer: 3.699134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 1428.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22163018 divided by -764242?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/5*z**3 + 2\/5*z - 2\/5*z**4 + 0 + 2\/5*z**2 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1630592, -1630590, -1630588?\n\"Answer: 2*l - 1630594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 34*k - 170. Determine g(-27).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1\/2)*c*c\/c**(-4)*c*(c*c\/(c*c\/(c**0\/c)))**(10\/7) assuming c is positive.\nAnswer: c**(85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s - 8. Let p be (-48)\/(-15)*20\/s. Let w(g) = g**3 - 7*g**2 - 6*g + 1. Let t be w(p). Solve 0 = -y - 0 - 4, -3*y - t = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 29835*l**2 - 990350*l - 2100000.\nAnswer: 5*(l - 35)*(l + 2)*(l + 6000)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, 32, 50, 68, 86, 104?\n\"Answer: 18*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 8*a - 9. Let p(d) = -4*d + 12*d**2 - 19*d + 12*d**2 - 21*d**2 + 27. Let i(w) = -14*f(w) - 4*p(w). Factor i(n).\nAnswer: 2*(n - 9)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 8.459584414.\nAnswer: 8.759584414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/70979 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32911?\nAnswer: 32911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530514697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 29805750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 10*h + 12. Calculate the lowest common multiple of 116 and o(-10).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42344869*a**2 + 52*a + 747506?\nAnswer: 84689738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 584 = -10*x. Let m = 77 + x. Solve -4*n + 3 = m*u + 7, -n = -4*u - 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165 or 1\/224523?\nAnswer: 1\/224523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22656.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 714, 1429, 2144, 2859, 3574?\nAnswer: 4289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83305597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2 - 3*m. Let v(n) = 20*n**2 + 14*n. Let h(x) = 12*x - 1. Suppose 3*s - 72 + 60 = 0. Let g be h(s). Let l = g + -50. Give l*v(d) - 14*f(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1991636394532 - 1991636394532 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 52*y - 204. Let t be o(4). Solve t*s + s = 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = n - 2*z, -z + 3*z = -2*n. What is the lowest common multiple of n and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/3 + 7*j**2\/3 + 17*j\/3 + 3 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 32103*g**3 - 23*g**2 + 88*g - 19. Is h(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1981729 plus -3.2?\nAnswer: -3.3981729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**8\/168 - 7*o**5\/24 - o**4\/3 + 11*o. Let m(q) be the third derivative of j(q). Differentiate m(y) wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897726301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20792 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s. Let u(w) = 20 + 3*w**2 + 71 - 2*w**2. Give v(u(r)).\nAnswer: 2*r**2 + 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 264 = -4*u, 0*u = -5*f - 4*u + 326. Calculate the remainder when f is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o - 6. Let x be s(0). Let q(f) = f**3 + 9*f**2 + 8*f - 6. Let p be q(x). Let r = p - 51. What is the least common multiple of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90260 is divided by 1115.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1216))**2 + 2)*-1 + (sqrt(931)*-1 + 1 + (sqrt(931) + -1)*6)**2.\nAnswer: -350*sqrt(19) + 22082","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 8. Let t be 38\/8 - 2\/(-8). What is the smallest value in 4, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -951 - 10*x + 1809 - 858.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**2. Let c(u) = -1927*u. Give p(c(q)).\nAnswer: -22279974*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p + 2*p. Let u be ((-90)\/(-75))\/((-3)\/(-150)). What is the second derivative of -p*w**5 - u*w + w**5 + 52*w wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)*((-16)\/(-4) - 195) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 191 - 191.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 75*g**2 - 157*g**2 - 38*g**2 - 1 as q*g + a*g**2 + p and give a.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otj when three letters picked without replacement from tottdjdddtdtddottdtt.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219115 + -402415. Round x to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(153) + 2*sqrt(153))*1 + sqrt(153)*1*5)\/(sqrt(45)\/((2*sqrt(20))\/sqrt(4))))**2.\nAnswer: 128*sqrt(17) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10015463 - 3?\nAnswer: -10015466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57.8 + -53. Let d = -0.8 + f. What is the closest to 1\/2 in d, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, e: 4, l: 2}. Give prob of picking 2 e and 1 z.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 122?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -99*w - 7. Let x(s) = 97*s + 8. Determine -6*q(g) - 5*x(g).\nAnswer: 109*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (sqrt(15)\/sqrt(3))**2 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.239 - -17.3. Let v = 0.06233 - u. What is v rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + 43 + -108 - (-27 + 71)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 12:46 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - 22*r + 5. Let n be j(-6). Sort -5, n, -3, 5 in increasing order.\nAnswer: n, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -300344*p. Let c(v) = 7*v**2 + 4*v. What is t(c(q))?\nAnswer: -2102408*q**2 - 1201376*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -2.3. Let q = -1 - n. Which is the nearest to -0.2? (a) 2\/5 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**4 + 3*v + 8*v**3 - 2*v - 5*v - 2*v**2 - 4*v. Let l(w) = -6*w**4 + 15*w**3 - 3*w**2 - 15*w. Let c(q) = -5*l(q) + 9*u(q). Factor c(t).\nAnswer: 3*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -33*j + 4. Let w(d) = 166*d - 22. Calculate 16*k(g) + 3*w(g).\nAnswer: -30*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1456, 1464, 1472, 1480, 1488, 1496?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3399 = -o + 4*i, 59*o - 55*o - 13648 = 3*i. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y\/((y\/(y*y\/(y\/(y\/(y**(-7)*y))))*y)\/y))\/y*y)\/y*y**(-3))**(3\/16)*(y**(-5)*y**11)**(-32) assuming y is positive.\nAnswer: y**(-1527\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-12 - (2 + -6) - (-2 - -9)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24237 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(-6)\/(-1428)*-4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 2*h - 42*h + 39 + 0*h.\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - ((2 - 2) + (18 - 7))) + -16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 20. Let v(u) = -66*u - 1375. Let r(c) = 275*d(c) + 4*v(c). Let q(y) = -116*y. Give q(r(f)).\nAnswer: -1276*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + y + 66 + 314, 2*y = -5*l + 626. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206850 divided by -105.\nAnswer: 1970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/61056117?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1796 divided by 2\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -102020 (base 3) to base 16\nAnswer: -12f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 - 3*j - 6. Is 52 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/(-308) + 21\/28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6)\/(i**(-1\/8)\/i))**(-29) assuming i is positive.\nAnswer: i**(-667\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0 - 58*q**2 + 1\/4*q**4 + 0*q**3 + 0*q. Let m(v) = -5*v**2. Give s(m(i)).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 + 1 = 0. Sort 0, p, 2\/11 in ascending order.\nAnswer: p, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96141200 and 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*l - 131*l + 946 = 0 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z + 6 = 0. Let u(i) = -i**3 + 5*i**2 - 4*i + 3. Let d be (-18)\/117 + 108\/26. Let v be u(d). Sort v, z, 0 in decreasing order.\nAnswer: v, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 0, -5, 191, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -15) + -58 + 54.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*r + 751194217 - 751194217.\nAnswer: 71*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 2*n**3 - 4*n**2)*(1 + 3 - 6)*(4*n**2 - 3*n + 3*n).\nAnswer: -16*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98040 divided by 3?\nAnswer: 32680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (56\/12)\/(2\/12). Let k(w) = 16*w - o*w + 2 + 14*w. Determine k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212330 + -130013001?\nAnswer: -130231331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/43 in -0.3, 0, 1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39005 + -38978. Solve -9*o = z, 21 = -5*g + 4*o - o for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 41407128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Divide -1773304 by 34.\nAnswer: -52156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*g + 7, 1 = a + g - 3. Let n = 3 + a. Suppose -n*f + 23 + 117 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87625210?\nAnswer: 2, 5, 8762521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 14*b + 34. What is a(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 8*v. Suppose 1 = -2*k + 3*r, -4*k - 34 = -k + 2*r. Let d be m(k). Suppose 4*t = -d*t + 32. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 120*o - 116.\nAnswer: -4*(o - 29)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvww when four letters picked without replacement from vwvvvw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 1 + 0 - 2*n. Let y(g) = 5*g - 5. Let l(k) = -k**2 + 14*k + 17. Let a = 82 - 67. Let z be l(a). Determine z*y(i) - 11*u(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + c = -5, 4 + 21 = -5*c. Let u be z*(-2)\/(-4) + -22. Let i be (15\/1 + -1)\/(293\/((-21975)\/50)). Is u not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8067*c + 8065*c - 2*l = -28 + 10, -5*l = c - 9 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 7*g**2 + 7*g + 10. Let u be x(-8). Is 12\/u*(-474)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 47\/7. What is the closest to 0.1 in j, -1, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*(29 - 1). Let c = d + -10. What is the second smallest value in 3\/7, -5, c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**7\/360 - f**5\/120 + f**4\/8 - 7*f**2. Let g(l) be the second derivative of q(l). What is g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1114\/9 + 124. Let i(w) = -w**2. Let g = -4 + 4. Let b be i(g). Which is greater: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1958 divided by 178?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38833.76ml?\nAnswer: 38.83376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 96*q + 193. Let z be d(46). Suppose -5*j - 5*p = -z*j + 61, 2*p - 54 = -4*j. Calculate the highest common divisor of j and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -34, -99, -200, -343?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 + 229346743468.\nAnswer: 229346743345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.352 + -207.548. Let j = -222 - y. Let x = j + 12. Which is the closest to -0.1? (a) x (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = 7. Let s = q - -4. Suppose s = -4*k + 24 + 12. What is the greatest common divisor of 63 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2605900*0.3\nAnswer: -781770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3156640 and 27904?\nAnswer: 25253120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1814.619208 to the nearest ten.\nAnswer: -1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**3\/6 + 7*m**2\/2 + 15*m. Let c be j(-10). What is the units digit of -9*(c - 16\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7800, 7806, 7824, 7860, 7920, 8010, 8136, 8304?\nAnswer: 8520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -16*f**4 + 416*f**3 - 2322*f**2 - 14792*f - 450. Suppose t(v) = 0. Calculate v.\nAnswer: -2, 43\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 + (-76)\/(-28). Find the second derivative of 4*f**3 + 3*f - f**4 - 4*f**h + 0*f**4 wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163485*b**2 + 50005*b - 1 wrt b?\nAnswer: -326970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2580 and 10.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -857068 divided by 13\nAnswer: -857068\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 373*t**4\/12 + 316*t**3\/3 + 256*t**2 - t. Differentiate l(m) with respect to m.\nAnswer: 746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - v**2 - v + 5. Let d(x) = -110*x**3 - 5*x**2 - 2*x + 18. What is -4*b(w) + d(w)?\nAnswer: -114*w**3 - w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 9:49 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -18. Let w be (-9)\/15 - (1 + c). Let l = 2729 + -2726. Put l, 0.3, w, -1\/5 in decreasing order.\nAnswer: l, 0.3, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195828, -195861, -195908, -195975, -196068?\nAnswer: -196193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 20. Calculate the remainder when 101 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uueyye. Give prob of sequence eu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v. Let y(c) = -c. Let h(d) = b(d) - 4*y(d). Let i(j) = -6*j**2. Determine i(h(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 77. Let x(h) = -8*h**3 - 17*h**2 + 11*h - 5. Let q(b) = -3*b**3 - 6*b**2 + 4*b - 2. Let w = -2 - 9. Give a*x(l) + w*q(l).\nAnswer: l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7 - 4. Is 4 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcvqgeg. Give prob of sequence cvv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18007 is divided by 17927?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195742 is divided by 195691.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - x + 401 = 0, -2*u + x + 172 = 6. Let g = u - 77. Solve 4*l + 4 = 3*a - 4, 13 = g*a - 3*l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4782 and 1014?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 274800 and 7328?\nAnswer: 549600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 29*t - 45 = 5*x, 7*t = 3*x + 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**3 + t**2 - t**2)*(t - t - 2*t) - 26*t**4 - 62 + 62 + (3 + 8*t - 3*t - 6*t)*(-2*t - 2*t**3 + 2*t) as x*t**3 + p*t + n*t**2 + w*t**4 + h and give w.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3. Let j = 11 + -4. Let a(x) = 10*x**3 + 4. Let g(s) = 3*s**3 + 1. Let v(f) = j*g(f) - 2*a(f). Give -v(d) - w(d).\nAnswer: 2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -91 + 2?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - m - 169, -4*s = -8*s + 4*m - 252. Sort s, -1, 2, 1 in ascending order.\nAnswer: s, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2025 - -2032. Does -384 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3328) + (sqrt(3328) + 2 - sqrt(3328)) + (sqrt(52) - sqrt(52)*-2)*6.\nAnswer: 2 + 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97739770 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4, 1, 18 in ascending order.\nAnswer: -5, -4, 1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.6 times -7253?\nAnswer: -134905.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482238 is divided by 7419.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 222?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -5972\nAnswer: 17916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5\/7 - 156*p**4\/7 + 736*p**3\/7 + 1808*p**2\/7 - 1536*p + 11008\/7 = 0. Calculate p.\nAnswer: -43, -4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10192 = 186*z - 193*z. What are the prime factors of z?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -184*n - 1647. What is q(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -37. Which is bigger: 1.93 or y?\nAnswer: 1.93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 587.448 + 46.7.\nAnswer: 634.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423.9 rounded to the nearest ten?\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (27\/6)\/((-3)\/4). What is the hundreds digit of (p - -7)*2\/2 + 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1053, -5 in increasing order.\nAnswer: -1053, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**5*r\/((r**3\/r)\/r)*(r**0)**13)**12 assuming r is positive.\nAnswer: r**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/2)\/(2\/(-8)). Let j be 29\/(-5) + 46\/(-230). Let z(s) = s**2 + 15*s + 79. Let u be z(j). Calculate the greatest common divisor of y and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06396 - -738.4\nAnswer: 738.33604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 402638, 402559, 402472, 402377?\n\"Answer: -4*t**2 - 67*t + 402709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2*-2 + 7. Does 15 divide f\/10 + 444\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850126.9mg to micrograms.\nAnswer: 850126900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p - 2. What is the units digit of ((-7)\/4)\/(p\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13 - -12) + 1*3. Differentiate -10*b**3 + 49*b + f - 49*b wrt b.\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1192, 2061, 2930?\n\"Answer: 869*n + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (483\/63)\/(-3*3\/(-3753))?\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 80784.\nAnswer: 484704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 5*b - 146. Let l be a(-15). Put 3, 25, l in decreasing order.\nAnswer: 25, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 75. Let p(v) = -6*v - 374. Let f(x) = 2*p(x) + 11*u(x). Give f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1863 + 719674.\nAnswer: 721537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 - 0.8. Let w = h - 1.59993. Round w to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90.7 - -90.2. What is the closest to 1 in -0.4, z, 1\/8, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from gqgxqdqqqrrrgrg.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10025, -80241, -270791, -641831, -1253517, -2166005?\n\"Answer: -10026*q**3 - 11*q**2 - q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 8*l**2 - l - 7. Let q be m(-8). Suppose -3*n + 45 - 10 = 5*a, 3*n + q = 4*a. Solve j + 0 - 4 = n*s, 4*s + 2 = 2*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (42 + -9 + -66)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14086 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 42*n - 84. Let l be d(-44). Solve -3*k = 15, -5*t - l - 1 = 4*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3370463845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d**3 + 311*d**2 - 80*d - 6. Let v(u) = 8*u**3 - 310*u**2 + 67*u + 5. Determine 5*g(i) + 6*v(i).\nAnswer: 3*i**3 - 305*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 - -404391221?\nAnswer: 404391220.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69360 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3 + 106\/(-36)). Let b be (m\/(-3))\/((-1)\/1). What is the third derivative of -80*x**4 + 6*x**2 + 80*x**4 - 4*x**b wrt x?\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23224 (base 7) to base 13\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62510 - 4?\nAnswer: 62503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -125*j**4\/6 - 955*j**3\/6 + 32*j**2 + 7. Differentiate w(a) with respect to a.\nAnswer: -500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2647\/60 + 211\/5. What is the common denominator of 2 - (61160\/(-2442))\/(-10) and v?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*1 + sqrt(121))*-6 - (2*sqrt(121)*-3 + sqrt(121) - sqrt(121) - sqrt(121)))\/(sqrt(1584)*3*-1).\nAnswer: 5*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 1\/14, -3327 in descending order.\nAnswer: 1\/14, -0.03, -3327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 13.5. What is the second smallest value in m, -0.4, 1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11325672?\nAnswer: 2, 3, 17, 19, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 15\/12 - (-17)\/(-36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, j: 5, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3488589 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6238791?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3107 + 0.0893. Which is the closest to -25? (a) -1 (b) 1\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.7654+41703888\nAnswer: 41703900.7654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -5. Let z = -29 - c. What is the fourth smallest value in 3\/2, -5, z, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73404220 + 41724220. What is r rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, 101, 332, 653, 1064, 1565, 2156?\nAnswer: 2837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -5*t + 34. Calculate the remainder when 22 is divided by (-1)\/(-2) + 0 + t\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293 - -107. Let o = 185.9999921 + g. What is o rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 105389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 9*r = -r - 8510. List the prime factors of r.\nAnswer: 2, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x**2*z**2 - x**2*z + 612*x*z**2 - 3281*z**2 with respect to x.\nAnswer: 4*x*z**2 - 2*x*z + 612*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 6, 4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*v + 34, 2*x + v + 514 = 506 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5 = 3*n + 2*o, -4*o + 28 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3380942.\nAnswer: 2, 41, 41231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31\/16991 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d - 4. What is the remainder when g(-4) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/l**4*l)\/l)\/l)\/(l\/(l\/(l*l*l*l*l\/(l\/(l*l**1))*l))))**(5\/2))**(-2\/29) assuming l is positive.\nAnswer: l**(55\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 h when four letters picked without replacement from {h: 5, n: 1, f: 3}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11021021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74659198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 712, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1783*o**2*u**2 - 2*o*u**2 - 238*o*u wrt o?\nAnswer: -3566*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 0 + 0*u**3 - 1\/3*u**4 - 42*u + 0*u**2. Let f(b) = 27*b. Give c(f(l)).\nAnswer: -2916*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359 divided by 3?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -176 + 308. Let l = -113 + s. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 3:45 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 8*c - 11*c)*((4*c - 2*c - c)*(-4 - 1 + 4) - 4*c + 2*c + 0*c - 2 + 2 - c + 2*c - 2*c - c) to s*c**2 + o*c + x and give s.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27647047, -27647049, -27647051, -27647053, -27647055?\n\"Answer: -2*q - 27647045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7295 and 1955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/45 and 97\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-1 - 10) - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 2*i**3 - i)*(3*i - 5*i - i) + (27*i**2 - 80*i**2 + 25*i**2)*(-11*i**2 + 3*i**2 - 9*i**2) to w*i + t + s*i**4 + d*i**3 + y*i**2 and give s.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2\/125 of a centimeter?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6610 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/((-7)\/280). Let k be 15\/j + (-873)\/(-12). Let u = 99 - k. What is the lowest common multiple of 18 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -7, 23, 71, 143, 245, 383, 563?\n\"Answer: a**3 + 11*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 6. Let l be 105\/20 + (-1)\/4. List the prime factors of g(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from tvtts.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2. Let d(t) = 6*t**2 - 7*t - 7. Let z(l) be the first derivative of l**3\/3 - l**2\/2 - l + 1. Let y(f) = 2*d(f) - 14*z(f). Calculate p(y(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 1621486?\nAnswer: -1621508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**2\/i)\/i))**32*(i\/(i\/(((i*(i**(2\/19)\/i*i)\/i)\/i)\/i))*i)\/(i**(-6)*i*i))**(1\/20) assuming i is positive.\nAnswer: i**(59\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -33*c + 40*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/6*(0 - 18\/(-12)). Let n be (-3 + 0)\/(h + 1554\/(-384)). Let f = n + -62. Solve f*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 21*p. Let y(l) = 7*l + 3. Let q(c) = -4*c - 1. Let j(a) = -5*q(a) - 2*y(a). Determine x(j(k)).\nAnswer: 126*k - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 7. Let i be w(-2). Factor 0*o**3 + 0*o + 1\/2*o**i + 0*o**2 + 0 + 1\/2*o**4.\nAnswer: o**4*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*s + 13. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4638290176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*g - 686 + 679 + 307*g)*(1 + 5 - 3).\nAnswer: 840*g - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-3 + -5 - 4) + 11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -130, 0, 853, 5, 4, 3 in ascending order.\nAnswer: -130, 0, 2, 3, 4, 5, 853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 8. Let f be r(-3). Suppose 0 = f*k + 4*d - 965, 0 = -2*k - 0*k - 5*d + 403. Calculate the greatest common divisor of k and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.4. What is the closest to -0.1 in -1, -0.8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = -4. Let u = 4 + t. Suppose 3*j - 23 + 61 = h, u*h - 2*j = 60. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10398 and 36294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*u**3 - 4*u + 154 + 4*u - 153 + 103*u**2 wrt u?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/360 + 5*j**4\/4 - 5*j**3 - 28*j**2. Let o(r) be the first derivative of c(r). What is the derivative of o(t) wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-72) - 208\/(-84) - (-2)\/(-112)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*a + 22 = 0, -4*a + 0*a = -4*w + 28. Let u = -691 - -684.87. Let s = u + 1.13. What is the second smallest value in w, s, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 129492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4822 + -11.9138. Let s = z - -1.106. Let p = s - 1.11. Round p to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153 and 102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 679833 divided by -99?\nAnswer: -6867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -210\/59, -0.3, -1, -0.5.\nAnswer: -210\/59, -1, -0.5, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 113679274 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 + -69. Let t be (-4 + 2 - -3)*v. Solve -5*u + t = -3*h, 2*h - 12 = -3*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 63 (b) -2\/7 (c) 34\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1088)\/(-112))\/(2\/77). What is the remainder when c\/10 + (-18)\/(-45)*-1 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-30))\/(7020\/675)*((-6)\/(-7))\/1?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -46*n - 81*n - 385 - 89 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 4*d - 60. Let r be x(-7). Solve 3*s - 4 = -r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 4655.3.\nAnswer: 18621.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycc when three letters picked without replacement from {c: 9, y: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4, -5*p + 12 = -52*v + 55*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121289 is divided by 121231.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1004284.675 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from {i: 2, q: 4, g: 8}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)\/n**8)\/(n*n**(-2)*n)**38)\/(((n**(-1\/4)\/n)\/n)**(-2\/7))**(1\/6) assuming n is positive.\nAnswer: n**(-283\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 807 divide 87546588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433, -508, -3059, -8024, -16207, -28412, -45443, -68104?\nAnswer: -97199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/1231824 and 163\/32027424?\nAnswer: 32027424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -7*d**6\/5 - d**3\/6 + 159*d**2\/2 + 190*d. What is the derivative of l(r) wrt r?\nAnswer: -168*r**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*t**2*y + 167*t - 158*y wrt t?\nAnswer: -6*t*y + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-32)*2)\/((-2)\/(-6))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 6*r**2 + 2*r - 12. Let u be s(-5). What is the third smallest value in -2, -5, -3\/5, u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from {o: 1, j: 6, k: 5, u: 2, r: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578*-49024.\nAnswer: 28335872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 greater than 5611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2991524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 162. Give n(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 24*k - 2*k**2 - 15*k + 2 + 3*k**2 + 15*k in the form q + x*k + i*k**2 + r*k**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17025097 is divided by 6100.\nAnswer: 6097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62493 = -156*p - 64989 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 88, 199, 354?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*s - 2 + 0 + 0)*(1789*s + 4*s + 1453*s) in the form p*s**2 + z*s + v and give z.\nAnswer: -6492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/5 - 2724*l\/5 - 927522\/5 = 0. Calculate l.\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101220010 (base 3) in base 11?\nAnswer: 5a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 7*t**2 - 7*t - 5. Let n be c(-5). Suppose -3*o + 10 = -5. Let k be o\/n + 9\/4. Solve 5*l + k = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35260 and 660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 4:37 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 0, -52, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**7\/1120 - x**6\/240 + x**5\/160 + 5*x**4\/4 - 17*x. Let z(f) be the third derivative of m(f). Let z(d) = 0. Calculate d.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 383, -3, 2, 0, -13142 in descending order.\nAnswer: 383, 2, 0, -3, -5, -13142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 2. Let s be y(-2). Let f(j) = j**3 - j - 1. Let r(g) = 6*g**3 + g**2 - 5*g - 4. Let k(u) = 5*f(u) - r(u). Let o be k(s). Is o <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 92*j**3 - 4*j**2 - 92*j.\nAnswer: 4*j*(j - 1)*(j + 1)*(j + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 6*w**2 - 6*w**2 + (3*w - 3*w + 2*w)*(2*w + 2*w**2 - 2*w) - 2*w**3 + 9*w**3 + 4*w**3)*(-89 + 89 + 23*w**2).\nAnswer: 322*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 195\/25 + (-1)\/(-5). Suppose y - 5*i - 296 = 0, -u*y + 2*i = -10*y + 652. What are the prime factors of y?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -588*n**3*q**2 - 32*n**3*q*x + 180*n**2*q**2 - 3*n**2*x - n*q**2 + 2*x wrt n?\nAnswer: -3528*q**2 - 192*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*q = -55*q - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 156, 118, 74, 18, -56, -154?\n\"Answer: -j**3 + 3*j**2 - 40*j + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 206.1 - 206. Which is the second smallest value? (a) 23 (b) f (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15119*d**3*l + 7*d**3 - 5133*d + 2*l wrt l?\nAnswer: 15119*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32032 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544110?\nAnswer: 2, 3, 5, 7, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 50*y**2. Let i(b) = 7*b**2 + 22*b + 39. Calculate i(z(f)).\nAnswer: 17500*f**4 + 1100*f**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4382, 2\/19, 148, -2\/7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 6 - -9)*(170 - 1). Let a = 407 - j. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*y + 2*u = 161*y - 8, -5*y = 3*u + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 7. Suppose 2*b = 5*n - 24 - 15, 3*n + 5*b - 11 = x. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17153818.4699857 + -17153816. Let n = p - 2.47. Round n to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.3 - -7. Let o be 1\/(-4)*(-2 - 1). What is the smallest value in o, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 23*j = 596, 68*z = 63*z - 3*j + 73 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 971216 to the power of 1\/2, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 60829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*z + 118*z = 697 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 21. Suppose -3*x + 9 = -0*x. Suppose -1 = s - 3*r - 3, 0 = -x*s + 5*r + 6. Solve 0 = 3*b + 5*c + 23, a = -3*b - s*c + 2 - 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000063385294 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5859248?\nAnswer: 2, 31, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 - (10 + -6 + -4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 4:47 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 9*m**2 + m - 8. Let t be x(-10). Suppose 2*o - w = 74, -t = -2*o + 5*w - 0*w. Is 33 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqv when three letters picked without replacement from dqdddqdvqqvq.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.602757g to milligrams.\nAnswer: 602.757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**2 + 4*b - 16. Let f(y) = -12*y**2 + 7*y - 33. Let j(k) = 2*f(k) - 5*x(k). What is the units digit of j(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3051066536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4424*g**2 - 8908*g**2 - 19*g**3 - 2*g + 4496*g**2 as f*g + o + r*g**2 + h*g**3 and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9782*b**3 + 4*b**2 + 2*b - 6. What is the tens digit of q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -12, -39, -86, -159?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.8 - 8.82. Let u = 100 + -98.87. Let l = u - p. Round l to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27087, -107374, -240861, -427548, -667435, -960522, -1306809?\nAnswer: -1706296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 11 = -28*i. Solve -x = i + 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 9*f - f)*(3*f - f - 4*f)*(-2 + 3 + 1) + 2*f**2 + 0 + 0.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (3 - 2)) + 5 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/5 + (-58)\/2610)\/(1\/9). Which is the nearest to 3? (a) -16 (b) 0.1 (c) -18 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 - 4) + 7 + -41 + 65\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 5*b + 2*b)*(0 + b**4 + 0) - 3*b**5 + 2*b**5 + 2*b**5.\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 132867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5*k)\/(k*(k**(-4)\/k)\/k)*(k**0)**(-17))\/(k**(2\/5)*k*k*(k**5\/k)\/k)**48 assuming k is positive.\nAnswer: k**(-1241\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1839 - 5516\/3. Determine j, given that 1\/3*j**4 - 2\/3*j - x*j**2 - 1\/3*j**5 + j**3 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759876818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r + 40. Let s = 216 + r. Let p be (s\/(-110))\/(4\/(-10)). Solve p*q - 32 = -4*g, 6 - 1 = g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -33*g + 292. Give m(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -h**3\/3 - 5*h**2 - 3*h - 2. Is 7 a factor of p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3424*t - 3441*t + 85629 = 0. What are the prime factors of t?\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9228847 hours in days?\nAnswer: 0.1217868625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321 - 31 = -16*l. What is the least common multiple of 5 and l?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 19*n - 4*w = 282434, 0 = -3*w - 12. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggjgugugguuug. Give prob of sequence gj.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 193*v**6\/10 + 31*v**5\/30 + v**3\/6 + v**2 - 137. Find the third derivative of j(a) wrt a.\nAnswer: 13896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgqo when four letters picked without replacement from {o: 1, t: 1, g: 1, q: 2, s: 1, z: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/11*2 + (-191310)\/(-110) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 7*f - 19. Give k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550698 is divided by 1924?\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 34 (b) -12\/5 (c) -1\/4 (d) 2\/13 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.1 (c) -3.9 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + s - 315 = -0*a, -2*a + 123 = s. Let h(y) = y**2 + 5*y + 5. Let v be h(-5). Suppose -a - 36 = -v*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 2 + 2*l - 4 - 2*l + 3*l - 2*l + (2 - 1 - 3)*(3*l - 2*l - 3*l) - 3 - 2*l + 3.\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o**2 - o + 1. Let h(t) = -9*t**3 - 5*t**2 + 4*t - 5. Suppose n = -3*n - 5*p - 40, -12 = 4*n - 2*p. What is n*i(l) - h(l)?\nAnswer: 4*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 543819*h. Let z(s) = -3*s**2. What is z(l(b))?\nAnswer: -887217314283*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 60202?\nAnswer: 60202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7*(72\/(-4))\/126\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z + 68. Let r be a(16). Let q be (-10)\/r*(10 - 56\/5). Solve -q*v + 5*s - 18 = -7, 2*v + s = 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289960 is divided by 144938.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5270.6524 to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -135 in -71, -2, -4\/7?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 38. What is the nearest to -1\/10 in -5, p, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*z + 4*z. Find the second derivative of 23*m**3 + 11*m - 5*m - 7*m**z wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -255\/397 - -5413\/5955. Determine p so that 22\/15*p**4 + 0 - 16\/15*p + f*p**5 + 12\/5*p**3 + 8\/15*p**2 = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 549.9774 months?\nAnswer: 4.583145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a - 3*w, 10 = 4*a + 5*w - 6. Solve -a*r + 15 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7589, 8260, 9383, 10958, 12985, 15464, 18395?\n\"Answer: 226*x**2 - 7*x + 7370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 25*i**7\/7 - 3*i**4\/2 - 52*i**3\/3 - 2*i - 109. Find the third derivative of x(b) wrt b.\nAnswer: 3000*b**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66858.49 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -107, -92, -73, -50, -23?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 1:16 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Let u = 402 - 402. Solve -b = 2*a + 3*b + x, u = -2*a + b - 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 28*i**2 + 28*i - 31. Let b be m(-29). Let w(z) = -40*z - 78. Let l be w(b). Factor l - 3\/2*n**2 + 1\/2*n**3 + 0*n.\nAnswer: (n - 2)**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138*(-60)\/144*(12\/(-45))\/((-24)\/36)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/18*(3 + 12). Suppose 21 = -w*v + 11. Let t(o) = o - o**2 + 5*o**2 + o - 1 + 2*o**3. Give t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmmd when four letters picked without replacement from lmqmlmdllmmlmmqdd?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gww when three letters picked without replacement from gwwwwwwwwwwwwwwwww.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 38*a**2 + 83*a + 2631. Is m(-44) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209646 is divided by 41896?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113016247?\nAnswer: 47, 601, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 - 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-3)*u)\/u**(-6\/7))\/(u**0)**(-36) assuming u is positive.\nAnswer: u**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 3. Let m be x(5). Let h be 1 + 0 - 45\/(-3). Suppose -m*r + h + 16 = 0. What is the lowest common multiple of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2303600 smaller than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*j + 78*j + 43*j + 18*j in the form v + b*j and give b.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342272445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3629 or -3626?\nAnswer: -3626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*m + 2 + 2)*(-1 + 3 + 2).\nAnswer: -12*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence durd when four letters picked without replacement from rdjjjujjxdrudj?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orrrx. What is prob of sequence orr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -2\/3, 0.11, -4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7*n = 9*n - 8, -z + 3*n - 4 = 0. Let p = -34 - z. Suppose 3*v + 13 - 10 = 0. Put v, 1, p in decreasing order.\nAnswer: 1, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2103299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 327 divided by -327\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1899? (a) -25 (b) 2\/5 (c) 3 (d) 0.1 (e) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**3\/3 - 5*z**2\/2 + 9*z - 21. Calculate the least common multiple of 8 and v(0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*k - 335 = 4*c, 4*c + 259 = k. Let q be c\/30 - 6\/(-45). Put q, 11, 5, -5 in descending order.\nAnswer: 11, 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1222930 divided by 6.\nAnswer: 611465\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/6)\/(-5)*(-333 - 4). Let k = t + 167. Let h = -9 + 4. Which is the closest to 0? (a) k (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -80*w + 6056. Calculate i(76).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418145 and 33215.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18081476?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x - 404971. Let j(k) = -32*k. Give d(j(s)).\nAnswer: -288*s - 404971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose 5*y = -13 + 23. Suppose p - g*x = 3, 0 = 5*p - y*p + 4*x - 19. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 305*z**2\/3 + 23408*z\/3 - 23104\/3.\nAnswer: (z - 152)**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 - 1.6. Let m = p + 0.5. What is the smallest value in 2, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19311447817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {d: 7, c: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 628043533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 628 and 93517364.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + ((-216)\/648)\/(4\/(-237))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 0*v**3 + 6*v**3)*(-11*v**2 + 7*v**2 + 0 - 1).\nAnswer: -16*v**5 - 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42998211.06 rounded to the nearest ten thousand?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/19)*l**(1\/4)*(l**(-1\/4))**6)**(5\/7))**(-2\/75) assuming l is positive.\nAnswer: l**(33\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3275.88 - -3276. Which is the nearest to 2\/7? (a) r (b) -0.2 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(21\/(-42))*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -439939*k**2 + 40443 wrt k.\nAnswer: -879878*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 3*a - 4*j = 25, -6 = -4*a + 2*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -263413.91 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612668 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 12*m - 12*m + 2*m = 3, 10*k - 14*k = -5*m + 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*l - 665*l - 912 = 0 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 28*t**2 - 1563*t + 122. Determine r(-28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-6)\/36). Which is the closest to -2\/5? (a) -5\/4 (b) -2 (c) -0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 19 = 3*a, -9*u + 6*a + 8 = 8*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*n + 146*n = -15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-150)\/(-100))\/((-6)\/(-16)). Let q = -0.3 - -0.2. Which is the smallest value? (a) j (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 41?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**3 + 16*s**2 + 2*s - 35. Let p(o) = -2*o**3 + 5*o**2 + o - 12. Let b(w) = 3*h(w) - 8*p(w). What is the units digit of b(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*b + 4. Let u(y) = -y - 2. Let a be u(b). Is 4 a factor of a\/((-10)\/(-36)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -36*3\/(-30) - (-2)\/5. Let a(z) = z**3 - 3*z**2 - 6*z + 4. What is a(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9291475, 9291473, 9291471, 9291469, 9291467?\n\"Answer: -2*u + 9291477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 92 = r - 86, 0 = s - 14*r + 9*r + r + 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.1 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 18150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -13. Let u = z - 13. Solve 4*r - 15 = u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144110*j - 47006 with respect to j.\nAnswer: 144110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 - -4) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbmsgsmbbbgsbsbgbgm. Give prob of sequence bg.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (0 - -1) + -1. Let m = -3 - t. Suppose j = 5*j + 3*g - 207, 3*j + g - 149 = m. What is the greatest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*g - 30. Suppose -3*y = -x - g - 0, 4*y - 5*x + 3 = 0. Which is smaller: y or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5039 + -437?\nAnswer: -5476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1402, 2857, 4312, 5761, 7198, 8617, 10012?\nAnswer: 11377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14202, -28401, -42606, -56823, -71058?\nAnswer: -85317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a095 - 51?\nAnswer: a044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -15*l + 7*l. Suppose l = 2*x + 5. Let c be (12\/(-9))\/((-4)\/6). Sort 6, c, x, -4 in decreasing order.\nAnswer: 6, c, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*1 - (-6720)\/(-1088). Is -12 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7*h = 1408. Let b = h - -47. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 + -10.5. Let k = v - -9. Which is the second biggest value? (a) -1\/6 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -275\/5511809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = v + 4. Let b = v + 8. What is the derivative of 3*i + 0 + 5 + i - b wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 479725*-0.13\nAnswer: -62364.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19399273.\nAnswer: 31, 41, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1574, 3, 2 in descending order.\nAnswer: 1574, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17557 - -17561. Solve j*r - 18 = 3*o - 30, o - 5*r - 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 3, 0, -2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -2) + -2 + -5 + -1 + 434 + -435?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w + 78. Let v be s(18). What is the common denominator of -17\/32 and v\/(-60) - (-53)\/(-32)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10077 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.54 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from phhzu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*h*l*n**2 + 65*h*l - 2*h*n**3 - 2*h*n + 190*l*n**4 + 2*n**5 wrt n.\nAnswer: -12*h + 4560*l*n + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54.2 + -55. Let k(z) = -6*z - 17. Let p be k(-6). Let r = p - 17. Which is the second biggest value? (a) -2 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/3 + (4 - 0). Let t(x) be the first derivative of 0*x**g + 2\/3*x**3 - 2 + 0*x. Let i(h) = -3*h**2. Determine i(t(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*b - 4826*b - 175392 = 0 for b.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -548 - -557. Let s be (j + -25)\/8 - 36\/2. Is s > -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/60 + 17\/(-20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/6 + ((-120)\/(-18) - 6). Solve 0*x = z*x + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12773*l + 121947*l + 24390*l.\nAnswer: 133564*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.26 - 16.26. Let o = -15.9999987 - x. Round o to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-448)*14*(840\/(-56))\/((-5)\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 3044438267 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4913 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 8271, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7414 = -1002*u - 602 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -573, -12, -38, 4 in decreasing order.\nAnswer: 4, 3, 1, -12, -38, -573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31969?\nAnswer: 7, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 22*c + 1560 = 0. Suppose 0 = -4*h - 6*h + c. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0235 - 0.0833. Let v = h - -0.11. What is v rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256\/1071 + -2\/119. Find k such that f*k**3 + 0*k**2 + 0 + 0*k = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459854357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.78 from 2.6994461.\nAnswer: -1.0805539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/2730)\/((-1)\/(-4)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4845\/63954)\/((-5)\/10)?\nAnswer: -5\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o - 4752. Calculate the common denominator of 2 - 40\/18 - (-649)\/o and -39\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16225*s + 16205*s = 100 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - -5*(1*sqrt(77) - sqrt(77))) + sqrt(77)*-1*-5)\/(-6*((sqrt(175)\/sqrt(5) + sqrt(35))\/sqrt(5) - sqrt(7))))**2*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-20 + (-215 - -211) - (0 + -1 - -11)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-3))\/(1704\/(-4)*1)?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 4, 3, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*r - 16 = -52*r. Let o be 32 - (4 - (r + 4)). What is the highest common divisor of 98 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 17.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -20978*r**2 + 1 + 4*r**3 + 20978*r**2 + 13*r in the form k + x*r + z*r**2 + i*r**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:46 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*n + c, -1 = n + 5*c + 1. Suppose -14 + 40 = -2*h. Let v = n + h. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3\/3 + 3*w**2\/2 + 3*w - 29. Let x(c) = -2*c**2 + 8*c + 8. Give 8*j(k) - 3*x(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7847*p - 1400*p**3 - 7847*p.\nAnswer: -1400*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39400 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 773.34 - 1.3?\nAnswer: 772.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 2, -2, -3 in descending order.\nAnswer: 109, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 7 = -3*k + 24, -9 = -3*k. Suppose 81 = -u + p*u. Calculate the smallest common multiple of 6 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buououuuo. What is prob of sequence oou?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 245024 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -92253*k + 833 = -92302*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1 + 3) - 2. Suppose 3*z = -y*z. Suppose -12 = 2*r + 2*c, z*r + c + 12 = -2*r. Is r bigger than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3101 = -10*l + 1659. What is the least common multiple of l and 2?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 33 = -y + 9, -4*s + 5*y = 48. Let d = -23 - s. Let v = 15 + d. Is v bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*k - 120, -4*q + 2*k + 96 = -0*q. What is the remainder when 46 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17351\/14327?\nAnswer: -17351\/14327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41311685610 and -0.1?\nAnswer: 41311685609.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 84*d**2 - 609*d - 6. Determine i(76).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98845, -395354, -889535, -1581388?\nAnswer: -2470913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v + 11*v - 462*v**2 + 22*v.\nAnswer: -462*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 129d - -2?\nAnswer: 12a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5824.26 from -8.\nAnswer: 5816.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23143.\nAnswer: 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 33*k**2 + 6*k - 231. Let z(w) = -2*w**2 + w - 1. Let n(b) = u(b) + 2*z(b). What is n(29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/627 and -41\/60?\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3. Let i be a(-1). Let o = 1.9 - -0.1. What is the closest to 6 in i, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80000 and 1750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*c**3 + 87*c**3 + 108*c**3.\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/980413 and -71\/1120472.\nAnswer: 7843304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*n + 3 + 3 = 0, -5*b - 4*n - 21 = 0. Is 331 + (-2)\/(-2) + b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by -12.\nAnswer: -37\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17034 divided by -5678\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 450322536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfs when three letters picked without replacement from {f: 3, s: 3, h: 6, w: 3}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119\/3? (a) 15\/2 (b) 2\/3 (c) -0.3 (d) 2\/75 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1058 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 3*y + 28. Let m be v(7). Solve l - 2*l + 3 = m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3)*g**(-2\/13)*g*g assuming g is positive.\nAnswer: g**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202468 and 2028812?\nAnswer: 4132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*9*(-2)\/21. Let n = 10 + y. What is the least common multiple of 1 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1357944, -1357987, -1358030, -1358073?\n\"Answer: -43*f - 1357901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (135\/(-60))\/(3\/(-32)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2009, -4019, -6011, -7979, -9917, -11819, -13679?\n\"Answer: q**3 + 3*q**2 - 2026*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 4*s + 18, 0 = s - 2 + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 439420000 to the nearest one million.\nAnswer: 439000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127, 252, 377?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1470248 and 2794168.\nAnswer: 6968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + 2*d**5 + 0*d**5 + (-34*d**2 - 61*d + 61*d + (-8*d + 7*d + 8*d)*(-d + 3*d + 0*d))*(-d**3 + 0 + 0).\nAnswer: 22*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 2280?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 21*x - 4. Suppose -n - 8*y - 11 = -7*y, -47 = 5*n - 3*y. Calculate the remainder when 136 is divided by m(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - 0) - (52 + -53 + 11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/((-4)\/((-56)\/1)). Suppose 5*o - 105 + 2 = 4*p, 4*o - f = 4*p. Suppose 10 = 4*a + 2. Solve -a*i + i + 4*s = 21, 3*i + o = s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 18. What is the least common multiple of 4 and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 10\/23, 1, -1, 3\/4?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2\/25, 4, 2\/9, 11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 5, 3, -76, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15228 divided by -1692\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/5)\/b)**24*(b**(1\/5))**39)**(3\/17) assuming b is positive.\nAnswer: b**(-63\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*j - 25*j = 40*j - 3100. What is the greatest common factor of j and 11525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 + 15*h**2 + 4*h + 12. Let l(m) = -4*m**3 - 14*m**2 - 4*m - 11. Let x(r) = 5*k(r) + 6*l(r). Is x(10) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1658085 divided by -127545?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.6 (b) -2\/7 (c) 5 (d) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 70 = -122. Suppose a*l = 37*l. What are the prime factors of ((-34)\/(-5) + l)\/((-37)\/(-185))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 2*f**2 - 30*f - 50. Give j(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = b + 5*a - 17, b + a = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1005 - h**2 - 339 - 333 - 333.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6002863 or 6002861?\nAnswer: 6002861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24178?\nAnswer: 2, 7, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z**3 + z**2 - 6*z - 2. Let i(l) = -5*l**3 - 2*l**2 - l - 1. Give i(j) - k(j).\nAnswer: 6*j**3 - 3*j**2 + 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 27972*c**2 + 3154176*c.\nAnswer: -4*c*(c - 7104)*(c + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*l + 28, -l + 0*f - 2*f = 10. Let k(q) = -q**2 + 6*q + 2. Let j be k(5). Let a = l + j. Sort a, 3\/5, -5\/4 in descending order.\nAnswer: 3\/5, a, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12033*i = -12103*i + 69720. What is the remainder when i is divided by 284?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + t = 40. Suppose -t*o + 3*o + 2*w = -144, -w - 407 = -3*o. What are the prime factors of o?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 945416?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {q: 6, o: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232 and 4176?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -31680 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 577557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -9*b**3 - 15*b**2 - 4*b. Let c(y) = -2*y**3 + y**2 - y. What is 4*c(n) - g(n)?\nAnswer: n**3 + 19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2 - (-3)\/(-3)). Suppose -o + a = -20. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty ninths of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112600 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1 - 6 + 2 + 3*l. Let c be w(2). Suppose -45 = -c*d + 57. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 - (14 - (12 + 12 + 22 + -23))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r. Let n be f(0). Let l(o) = 7*o**2 + 1. Let x(p) = 4*p**2. Let t(d) = 3*l(d) - 5*x(d). List the prime factors of t(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 575 - -1?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53.956 + 54. What is r rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 - -225. Suppose -68 + k = -4*w. Let y be -2 + 14*(-1)\/w. Solve 2 - y = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 37*g**2 - 2*g - 127. Determine v(-37).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(34) + sqrt(34)*1*3 + sqrt(34))\/sqrt(2048))**2.\nAnswer: -2647\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 139, -5, 2, -2 in ascending order.\nAnswer: -5, -2, 2, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 0*r + r)*(6 - 2 - 2) - 2 - 2*r + 7*r + 4*r.\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 0*q**4 + 2*q**5 - 8*q**5 - 11*q**5 - 167*q**2 + 178*q**2 + (-7*q + 7*q + 7*q**2)*(q**3 - q + q).\nAnswer: -10*q**5 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10906520 and 96234.\nAnswer: 32719560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2794987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 37\/3. Is f at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((24 - 21) + -5 - -47).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y - 50. Suppose 0 = 4*w - 59 - 753. Let a be (-2)\/y - w\/(-35). Solve -4*d - a = 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q. Let s(w) = 20 - 16*w - 31*w - 43*w + 60*w. What is s(f(l))?\nAnswer: 60*l + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -1)\/(2\/3508). Suppose o - g = -3*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**3\/6 + 11*p**2\/2 - 3*p. Let o be r(0). What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/44550 and 47\/30.\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:39 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4931 - 4826. Solve -y + 109 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94420 = -8*q + 28*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**5\/360 + r**4\/48 - r**3\/18 - 13*r**2\/2 + 2. Let z(y) be the second derivative of u(y). Determine f so that z(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 405 and 10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331995, -331998, -331999, -331998, -331995?\nAnswer: -331990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 3144 - 3144 + 53*w**3)*(-2*w + 3*w + 0*w) as t*w**4 + n*w + a*w**3 + x*w**2 + o and give t.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46455621403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48398\/21771 - -2\/2419. What is the smallest value in 3, c, 0.1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26643144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 4*x**4 + x**4 + (-4*x + 5*x - 10*x)*((0 + 1 - 2)*(3*x - 3*x - 2*x**3) + 3 - 3 - 5*x**3).\nAnswer: 26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45759 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 36*p - 75259. Give t(-257).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 16 = 2*m, -6752*f = -6748*f + 4*m + 36 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 85c - 4?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. Solve 3*m = -5 + v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 11*m - 24 = 0. Find the third derivative of 30*c**m - 29*c**2 + 3899*c - 3899*c wrt c.\nAnswer: 720*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:59 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -18. What is the smallest common multiple of p and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 141 = -136. Solve -7*d + 6 = -z*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 at least as big as -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00299092 rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13 + k + 0*k - 2*k - 3*k. What is the units digit of f(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - z - 2972 = -2968, -8*z - 8 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1473, -2046, -2619, -3192, -3765, -4338?\n\"Answer: -573*z - 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27321846007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155.209 - 155. Let r = -0.091 - m. Sort -3, 1\/5, 1\/2, r in decreasing order.\nAnswer: 1\/2, 1\/5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789*c + 397*c = -396*c + 212. What is the remainder when 3707 is divided by c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2016404, -2016405, -2016406, -2016407, -2016408, -2016409?\nAnswer: -2016410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - -69. Let r = n - 0. Suppose 576 = 2*g - r. Calculate the greatest common divisor of g and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000536273 to six dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 3*g - 418 + 3*g**3 + 167 + 297 + 4*g to the form s*g**2 + r*g + w + p*g**3 and give w.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 27*v. Let b(u) = 2. Let z(a) = -a + 10. Let g(p) = 15*b(p) - 3*z(p). Calculate g(k(d)).\nAnswer: 81*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70804.59 litres to millilitres.\nAnswer: 70804590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 33 - 233 = -12*s. Solve 5*c = 4*d - s, -22 + 27 = -4*c + d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -63*s - 53. Determine i(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*j + 5*j**3 + 11*j)*(-3 + 3 + 1)*(0*j - 2*j + 4*j)*(-j - 3*j + 2*j).\nAnswer: -20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:41 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 11:13 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -29 (b) -5 (c) -3 (d) 2\/11 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-498)\/(-308) - ((-528)\/14036)\/(26\/(-377)).\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -2229 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 0*n + 5*n)*(0 - 2 - 3) + (-2*n + 4*n - n)*(0 - 3 + 1) + 2 + 3*n - 2.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13c73c + -4?\nAnswer: -13c743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 6 = w + 12, 2*r = 2*w + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -44539 > -44542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + s + (-1 - 2*s + 1)*(1 - 4 + 5) + ((0 - 3 + 4)*(42 - 68 + 33) + (-2 - 1 + 1)*(0 - 2 + 4) - 6 + 0 + 4)*(0 - s + 0).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18327904 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8465a55 + a?\nAnswer: 8465a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p**(1\/4)*p\/(p*p**(2\/3))*p*p**(-5))**(1\/3))**(10\/11) assuming p is positive.\nAnswer: p**(-175\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is -1166 (base 12) in base 16?\nAnswer: -79e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.37 + -4.37. What is the nearest to 2\/3 in -54, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -807805011\/2348989 - -3\/123631. Let r = t + 344. What is the nearest to -1\/3 in -5, -4\/9, r?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4052228)\/(-52490) + (-52)\/10 + 1.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 33*g - 30. Let s be o(2). Let n be 486\/14 - 2\/(-7). Solve 5*l + n = -2*j, 0 = 4*j + l + s - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -61*a**4\/12 + 2*a**3 - a**2 + 7. What are the prime factors of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 99\/117 - -1 - 2. Let f = -1.4 - -1.8. Let r = -0.1 - 0.1. Which is the closest to -3? (a) r (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 3*o = 17*a + 1144, o = -2*a + 440. What is the greatest common factor of 308 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 524 + -3?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4603 + -18507\/4. What is the common denominator of (-34*3\/36)\/((-16)\/(-120)) and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 1. Suppose 0 = r + i + 3, 2*r = -i - 2*i - 3. Let b = -6 - r. What is l(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2776.31904 - 2777. Let q = -0.676 - j. Round q to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c + 7. Suppose -39 + 9 = -5*q. Let t(l) = l - 1. What is q*t(u) + f(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39541654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5209, 3696, 2183, 670, -843, -2356?\n\"Answer: -1513*p + 6722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/1620*18*2\/(-12)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1.3.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -9*s**2 + 36*s + 2. Give u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/15 (b) 1\/6 (c) -0.06 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:30 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 176*q**5 - 4*q**2 - 8 wrt q.\nAnswer: 10560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -20850 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 15\/(-10))*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**5\/2 + 4*y**3\/3 - 14*y. What is the second derivative of x(d) wrt d?\nAnswer: -60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3*672\/(-144)*(-2)\/4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-723)\/6)\/(1 + 95\/(-90)). Suppose -33*s + 9645 = -w. What are the prime factors of s?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 less than -27752065?\nAnswer: -27752062.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 3}. Give prob of picking 2 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 150, 1, -4, 11745 in ascending order.\nAnswer: -5, -4, 1, 150, 11745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2439487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*p + 3*m, 0 = 2*p + 3*m + 5 + 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**3 + 11*v**3 - v + v**4 + 10 - 7 - 11*v**3 - 3*v**2 in the form t*v**2 + a*v + o*v**4 + d*v**3 + h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1573) + -3*sqrt(1573)*-2)**2.\nAnswer: 462462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y + 12847 = 6132 for y.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 5)*(0 + 0 + 2*m) + 1 + 5*m - 1 + (1 - 3*m - 1)*(0 + 1 - 3) + m + m + 0*m to k*m + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -37*x**2 - 57*x**2 - 10*x**2. Let r(c) = -59157130 - 2*c + 59157130. Calculate r(b(j)).\nAnswer: 208*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 368.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -14*y + 43*y. Let w(k) be the first derivative of 0*k**3 - 2\/35*k**5 - y + 1\/7*k**4 + 2\/7*k - 2\/7*k**2. Factor w(a).\nAnswer: -2*(a - 1)**3*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 + 960566*b = 0.\nAnswer: 0, 480283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -3035, 35 in descending order.\nAnswer: 35, -1, -2, -3035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -3)\/4 - -176. Suppose -2*m + u = -433. Let r = 485 - m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 4*z**3 - 2*z**3 + z**3 - 5*z**3 + 4*z**3 + 0*z**3 + (4 - 3 - 2)*(-3*z**3 + 3*z**3 + z**3).\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 7*r**2 + 2*r - 1. Suppose -80 = 5*n - 9*n. Suppose n = 6*k - 2*k. What is the tens digit of h(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 4:21 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -132206 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2457, 4.\nAnswer: -2457, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, -35, -153, -381, -755?\nAnswer: -1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**2\/2 + c - 6. Let k be 1 + -1*(-2 - -1). Suppose 4*q - k = 2*q. Let v(u) = u + 2. What is q*v(w) - y(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + w)*(3*w + 8*w - 5*w) + 25*w**2 + 16*w**2 + 5*w**2.\nAnswer: 58*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-138)\/483)\/(0 - -2)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/3)\/((-3)\/(-9)). Suppose -4*s = -n*c + 13, -4*s + 10 = -c + 3. Let d(j) = -2*j - 23. Let q be d(-10). Put q, 3, c in ascending order.\nAnswer: q, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/2, 1\/5, 76, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31\/2413 (b) 3 (c) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312602896?\nAnswer: 2, 19, 54121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 - 3*z - 4. Let f(j) = -j - 1. Suppose -20*a = -20 + 40. Give a*o(p) + 3*f(p).\nAnswer: -5*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.3 - 0.7. Let f = 1.11 - 12.11. Let h = n - f. Which is the second biggest value? (a) -3 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + sqrt(325) + 1*sqrt(325) - 2*sqrt(39)\/sqrt(3)*6).\nAnswer: -2*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -16*s**2. Let c(p) = p**2 + 130*p. What is c(y(k))?\nAnswer: 256*k**4 - 2080*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihihihhhihhhiiiahh. Give prob of picking 1 i and 1 h.\nAnswer: 70\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w = 2*n + 7, 4*n + 4*w + 20 = 0. Let b = 10 + n. Suppose 3*f - 35 = b*m - 163, 160 = 5*m - f. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Let x(u) = -u**2 - 8*u - 5. Let a be x(-7). Suppose -a*p + s*p - 3 = 0. Solve f = 4*w + p, -5*f - 2 = -3*w - 0*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 1 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -449 - -444. Sort -1.7, 0.3, i, 4.\nAnswer: i, -1.7, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -92\/31, 2\/7, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.073 + 5.073. Suppose 3*m + a + a - 1 = 0, 5*m = 2*a + 23. What is the closest to -2\/11 in o, m, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 506 - 509. Let d = 8.8 - 8. Let m = -0.4 + d. Sort m, 2\/13, z in ascending order.\nAnswer: z, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 12*j**2. Let q be y(1). Calculate the common denominator of -52\/3 and (q\/11 - 1)\/1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(sqrt(832) + sqrt(832) + 0)*-6)**2 + (sqrt(91)*-2*4)\/sqrt(7) + 1.\nAnswer: -8*sqrt(13) + 1078274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 2508.\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.5 + 37. What is the second biggest value in r, -2\/3, 1\/3, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -128884?\nAnswer: -128891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/680*102\/(-129).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 4*w**2 + w. Let q be k(-4). Let n(f) = f**3 + 5*f**2 + f + 2. Let y be n(q). Suppose 4 - y = -5*b. Is b 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 {c: 8, r: 1, d: 5, w: 2, s: 1, k: 3}. Give prob of sequence dcsk.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3208 + -118694\/37. What is the nearest to 3\/4 in b, -1, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/5, -8, -2\/63517, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12526 + -145352?\nAnswer: -161211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 29*a + 30. Let x be r(14). Calculate the remainder when x\/(-10) + 5 - 522\/(-5) is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1119, 2974, 4825, 6672, 8515?\n\"Answer: -2*k**2 + 1861*k - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2 - 91*j + 196*j - 112*j. Let h(w) = 7*w + 2. Calculate -7*h(k) - 6*p(k).\nAnswer: -7*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-34\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*k**3 + 428*k**3 - 233*k**3.\nAnswer: -97*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -680 + 680. Does 11 divide 528 - (u + 8) - -9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 6:24 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 5*f + 7. Let o be b(-5). Let v = o - 5. Solve -a - 12 = 5*k, 3*a + v*k = k - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.07 (c) 0 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.758, -2, -4.167?\nAnswer: -0.758","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 19*p**2. Let t(q) = 2*q**2 + 136*q - 4. Let s(j) = -11*j**2 - 805*j + 26. Let y(x) = -2*s(x) - 13*t(x). Determine y(g(v)).\nAnswer: -1444*v**4 - 3002*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43408.99961703 - -43409. What is h rounded to six decimal places?\nAnswer: 0.000383","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:54 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2. Let i(q) = 18*q**2 - 61735*q - 2. What is i(s(y))?\nAnswer: 18*y**4 + 61735*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -66.0000135. What is b rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65370 and 155880.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.7 + 19. Let t = 0.3 - n. Let y = -5\/37 - 91\/148. What is the closest to 2\/3 in t, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*v + (-2*v + 2*v + 2*v)*(-3 - 2 + 3) + 2 + 0 - 3*v + 5*v + (-25 + 25 + 34*v)*(2 - 4 + 5).\nAnswer: 98*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 2*q**2 + 5*q - 2. Let t(a) = 7*a**2 + a**2 - a**2 - 1 + a. What is the remainder when t(1) is divided by p(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q**2. Let x(d) be the first derivative of 0*d**2 - 4 - 1\/6*d**4 + 0*d**3 - 2*d. Let j(z) be the first derivative of x(z). Give j(i(k)).\nAnswer: -512*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102873042 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + q**3)*(4*q - 5*q + 2*q) - 144*q**2 - 29*q**4 + 144*q**2.\nAnswer: -28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 291 = 36. Suppose -n - 429 = -4*h. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 - 13.19. Let k = -15 - v. What is the biggest value in k, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48548 - 22817 = -35*l. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19193 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 215489381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266663 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 less than -6449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 7*h**2 - 3*h - 25. Calculate the smallest common multiple of 1 and n(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 3*n**2 - 2*n. Suppose 2*v + 106 = 5*z, -16 - 92 = -5*z + v. Calculate the least common multiple of m(-2) and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-16 - -30) + -7 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*v + 202 = 45*v - 152*v - 135*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 14 - 2 = 0. Let m = f - 7. Solve 5 = -0*i - m*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/14)\/8 + -1.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/((-25897)\/1927)*19.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -2*x + 6, 4*x + 28 = -8*d + 6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 5:18 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 1. Let u(s) = -15*s**3 + s**2 - 4*s + 3. Let b be -7 - (608\/(-64) - 2\/4). Calculate b*i(g) - u(g).\nAnswer: 15*g**3 - g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35479 is divided by 1477.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 55, -9, 18.\nAnswer: -9, -4, 18, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 5)*1)**2 - (6*(sqrt(11) + 0) + (sqrt(11) - (sqrt(704) + 2))).\nAnswer: 61*sqrt(11) + 423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-22)\/385*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 3 - 1)\/(2\/(-322)). Suppose 3*j - 7*j = -3*q - p, -5*j - 2*q = -184. Let k = -17 + j. Calculate the highest common factor of k and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1137 + 89 + 2*a**2 + 1071.\nAnswer: 2*a**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0 + 0*z + 1\/20*z**6 - 1\/12*z**4 + 0*z**5 - 4*z**2 - 2\/105*z**7 + 0*z**3. Factor q(c).\nAnswer: -2*c*(c - 1)**2*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*m + 36 = 0, m + 4 + 17 = -2*w. Let f be 1\/((3\/w)\/(-1)). Let c = 25 + -18. Solve -5 = -f*v + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29277, -29287, -29311, -29355, -29425?\nAnswer: -29527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 157 + 11 = 0. Calculate the remainder when s is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {o: 2, y: 7, j: 1}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3 - 9. What is the units digit of x + 2\/(-2) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m + 0*m)*(-3 + 1 + 3 + (2 - 3 + 2)*(1 - 1 - 2) + 2 - 1 - 2) - m + 7*m - 3*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3629 to 2 decimal places.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyuyyyyyyyyyy. What is prob of picking 3 y?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -488+-40.5472643\nAnswer: -528.5472643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqnnnnnnnqnn. What is prob of sequence qnnn?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*l = -143, 3*c - 3*l = c + 127. Suppose q = s - 0*s + 13, 0 = -5*q - 4*s + c. Suppose 8*g = 4*g + q. Solve g*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25350 minus 10621.7?\nAnswer: -35971.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 153599995 + (-24)\/(-4). What is t rounded to the nearest one million?\nAnswer: 154000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) + -2)) + 2 - (sqrt(68) + 3 + -2))**2.\nAnswer: -12*sqrt(17) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2\/283 (b) 0.4 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + -14 + 11 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 66 + 2*s**2 - 3*s**2 - 65 - 7*s. What is l(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*q = -103*q - 3675 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7640*s - 153227 = -30987 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258032 = -4*h + 320*u - 318*u, 5*h - 2*u - 322543 = 0. What is the highest common factor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-3 + (2 - -5) - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 16579 (c) -2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -13*c**2 - 5\/6*c**3 + 0*c + 1\/24*c**4 + 0. Calculate w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 14*i - 13*i. Suppose -18 = -5*f + i. Suppose r = f*r - 2667. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.4 + 16.4. Let j = a + -16. Suppose -2*r - 10 = 4*u, -4*u = -u - r + 5. What is the closest to u in -4, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186789983?\nAnswer: 3877, 48179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b7ab + 189?\nAnswer: b967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -484, -487, -490, -493, -496, -499?\n\"Answer: -3*h - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8947\/1677 - 1\/559. Let b be 6\/27 + 64\/36. Factor -z*f + 0 + 4\/3*f**b.\nAnswer: 4*f*(f - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide ((-32)\/96)\/(2\/(-1356))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 9451.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 2562. Let w(g) = -g + 854. Give 3*j(k) + 8*w(k).\nAnswer: -2*k - 854","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide (2 + 229)*(-110750)\/(-3101)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 28 = -5*d, 0 = 4*d - i + 3*i - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932143 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {x: 1, k: 9, j: 5, m: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 7*n - p = 37 + 14, 3*p = -2*n + 241 - 275 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*l**2*v - 17*d**2*l*v - 118*d*l**2*v + l**2*v wrt d?\nAnswer: -2*l**2*v - 34*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in 1\/9, -5, 4, 108?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 12*j + 8. Let i be z(-8). What is the greatest common divisor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313988*x**3 - 18645*x**3 + 27941*x**3.\nAnswer: -304692*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4385 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4, 5, -5, 0 in ascending order.\nAnswer: -5, -4, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 12981 = -3*k, -4*j - 17316 = -3*k - k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.91436nm in kilometers?\nAnswer: 0.00000000000291436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 + -7.97. Let m = h + -0.6. What is m rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 38, 82, 134, 188, 238, 278, 302?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3055, -102, -4, 7, 20?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-6))\/(2\/(-284)).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide (-1 + -678)*3*16\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-14 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9337 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-1 - 10)) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 526695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 145480 divided by -3\nAnswer: -145480\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4041, 8081, 12121?\n\"Answer: 4040*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 72199531 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 61254783.\nAnswer: -245019132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 87*j - 402. Calculate n(5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5879 - -5237. Let y = 0.075006648 + -642.078636648. Let l = q - y. What is l rounded to four dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y + 1. Let t be n(1). Let h be (-1)\/t - (-1935)\/4. Suppose -5*w = 2*g - h, 5*g + 74 = w - 12. What is the highest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 8*n. Let a(q) = -1. Give a(s) + u(s).\nAnswer: -s**2 + 8*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -106, -179, -268, -379, -518, -691, -904?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 5*k + 2. Let g be b(-5). Suppose 0 = g*y - 0 - 6. Suppose -y*d + 59 = 4*n - 0*d, -3*n = -2*d - 23. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -5) + 831425\/(-7). Let o = t - -82072. What is o rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0032 (b) 8 (c) 1\/4 (d) 1.5641 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeieiqegeguueg. What is prob of picking 2 e?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 + 394*d**4 + 19206*d**3 - 19602*d**2 = 0 for d.\nAnswer: -99, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3730*s**4 - 8579*s - 2.\nAnswer: 44760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (50\/4)\/5*4\/85. What is o in -2\/17*o + u*o**2 - 4\/17 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 35 = v. Suppose -2*p = v - 13. Let u be 2\/(p + 9\/(-2)). Which is the third smallest value? (a) u (b) 1\/4 (c) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -18. Let w be -3*1\/m*-2. Calculate the lowest common multiple of 9 - w - (-6 + 6) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 734, 731, 718, 689, 638, 559, 446?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvhhhhhhvhhvvhhhvhh. What is prob of picking 3 v?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 32 + 54. Let m = x - -33. Calculate the highest common factor of m and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/69501 and -43\/9.\nAnswer: 208503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1))\/j)\/j**7)\/(j*j*(j\/j**(1\/4)*j)\/j*j)**34 assuming j is positive.\nAnswer: j**(-271\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (756\/192)\/(8\/(-16)*-18*(-3)\/36)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184779509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -306 - -212. Let r = j - -93. Let m = -19 + 7. Are m and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 3 + 4)*(13 + 3 + 5)*(-k + 3*k + 0*k) - 2*k + k - k in the form i + s*k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4.6. Let s = 0.2 + w. Let b be (7 - (-1224)\/(-182)) + 120\/780. Sort -2\/5, b, s, -1 in descending order.\nAnswer: b, s, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5 = -7. Let a(l) = l - 1. Let d(t) = 6*t - 6. Let z(k) = 7*k - 7. Let j(y) = 6*d(y) - 5*z(y). Give b*j(f) - 5*a(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 0 + sqrt(252))**2*5 + (sqrt(77) - (sqrt(77) + ((sqrt(77)*2 - sqrt(77)) + sqrt(77))*-3))\/sqrt(11) + 3)*1.\nAnswer: 6*sqrt(7) + 5043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -897*x + 949*x - 156. Let a(v) be the second derivative of -1\/4*v**x + 5*v + 0*v**2 + 1\/8*v**4 + 0. Factor a(j).\nAnswer: 3*j*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 11*m - 7*m - m + 30*m - 14*m.\nAnswer: -3*m + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22711, 45424, 68137, 90850, 113563?\nAnswer: 136276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 7740*b**4 + 7264*b**3 - 1324*b**2 - 928*b - 80 = 0.\nAnswer: -1, -2\/9, -5\/43, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4737 is divided by 237.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(4452\/432)*14?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - 44 - (5 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6*4 + 2. What is the second derivative of 3*q + 5*q**2 + j*q**2 - 4*q**2 - 5*q**2 wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3735 - 2000. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001075909 rounded to 7 decimal places?\nAnswer: -0.0001076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 16. Let n be p(15). Let z = n + -11. Suppose 5*q = m - 60, 2*m + 132 = 5*m - z*q. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 387.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75281.5728ms to weeks.\nAnswer: 0.0001244735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605203.9 minutes in hours?\nAnswer: 43420.065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5.2 (b) 0.7 (c) 4 (d) 392\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - 2. Let p = o + 0.1. Let t = p + 0.7084. What is t rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193 + 198. Suppose h*c - 3*i = -7*i + 674, 4*i = -2*c + 272. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/4232 and 15\/16?\nAnswer: 8464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678864549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/404904 and -95\/6.\nAnswer: 404904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21906 - 21900. Let u(t) be the third derivative of 0 + 0*t + 3\/4*t**4 + 0*t**3 + n*t**2. Let d(k) = 2*k**2. What is u(d(p))?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11815 + 132*b**3 - 342*b**2 + 328*b**3 + 11815 - 3*b**4 wrt b?\nAnswer: -72*b + 2760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 59df1?\nAnswer: 59deb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180 - -287. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-16))\/(15\/10). What is the second smallest value in -12, y, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -71\/7, 10\/627, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/934 and 2\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88711 by -551.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3 - 1 = 0. Let f = 1 - k. Suppose 0 = f*s - 4 - 16. Calculate the lowest common multiple of 12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - 95*q**2 - 736*q - 186. Determine g(-13).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1489*f + 8948. What is a(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173 + -173.052. Round v to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8711145 and 91105?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 11*m - 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 4*f + 5. Let a(z) = z - 2*z + 6 - 5 + 2*z. Give 4*a(r) - c(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 561821 to the power of 1\/2, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/21 - 16*z**2\/3 + 834*z\/7 - 3996\/7.\nAnswer: -2*(z - 9)**2*(z + 74)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 14 + 8 = -4*m, 0 = -m - 3. Let h = 0 - y. Let q(g) = -4*g**h - 2*g**2 + 1 + 0*g**2 + 2*g. Determine q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-4)\/6 - 0. Which is the smallest value? (a) 0.08 (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*l - 6*y - 10, -4*l = 4*y - 24. Solve 0 = q + l*a - 25, -4*q + 9*q - 37 = -3*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let j(b) be the third derivative of -b**6\/120 + b**4\/24 + b**2. Let g(y) = 5*y**3 - 5*y. Let h be (-9)\/(-2)*(-4)\/(-3). Give h*j(u) + n*g(u).\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 2.8.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1880*a**3 + 0*a - 626 + 3*a + 4*a - 1879*a**3 - 6*a to k*a + m*a**3 + r*a**2 + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (467856\/95 + -20)\/((-4)\/(-10))?\nAnswer: 2, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5831)\/34 - 2\/(-4). Let g be ((-2)\/(-3))\/((-38)\/w). Suppose -3*u + 2*u + 25 = g*q, -4*u - 2*q = -130. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0554 - 8.8554. Let f = 8.3 + 0.7. Let n = f + l. Which is the third biggest value? (a) -3\/5 (b) n (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930820.\nAnswer: 2, 5, 29, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -15. Suppose j - s = -3. Suppose 2*x - j*x = -10. Are 5 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 5:12 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48274452?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a + 4*h + 5, 14 = 4*a - h. Suppose -3*n - 5 = -u, -a*u - n = -3 + 38. Is 24 a factor of 2\/(-2)*u*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 5*f**3 + 0 + 55\/24*f**4 - 1\/8*f**6 - 22*f + 1\/4*f**5 - 2*f**2 - 1\/42*f**7. Solve k(g) = 0 for g.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - -2565. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 11 - 40 = -4*s, -5 = 5*c - 4*s. Suppose 0 = c*n + 5*o - 22, -o - 32 = -2*n - 0*n. Suppose -3*b = -112 - n. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5483, -5543, -5689, -5957, -6383, -7003, -7853?\n\"Answer: -6*c**3 - 7*c**2 + 3*c - 5473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3760 and -44\/9353?\nAnswer: 748240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-24528)\/912 - (-20)\/171.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -16. Solve -t = 3*c - 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 1. Let d be 4\/16*(-30)\/(-5). Sort p, 0, d.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 - 55*q**2 + 2*q**3 + 55*q**2.\nAnswer: 2*q**3 - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*i**3 - 91462*i**2 + i + 91462*i**2)*(1 - 4 + 4).\nAnswer: 99*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-28)\/21)\/(28\/(-4137)).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 487 divided by -1\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5242.1 and 0.2.\nAnswer: -5241.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 87 + -669\/8. Is m greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*v**2 - 3 - 4 + 130*v**2.\nAnswer: v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) -1 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2597426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25687800 to the power of 1\/2, to the nearest integer?\nAnswer: 5068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwwuc. What is prob of sequence ww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.5 - -16. Let u = -9 + 12. Suppose -36 = 3*w + w + u*c, -4*w = -3*c + 60. Put -0.1, d, w in increasing order.\nAnswer: w, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*z + 1404. Round z to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029161 less than 0?\nAnswer: 0.029161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18908*g**4 - 138*g - 16470775?\nAnswer: 75632*g**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 30. Let l be p(27). Find the second derivative of -136*o**l + 53*o**3 - 82*o - 25*o**4 + 2 + 83*o**3 wrt o.\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -37*b**6 + 4*b**4 - 30*b**2 + 4*b. Let v(r) = 36*r**6 - 3*r**4 + 30*r**2 - 3*r. Let a(q) = 4*v(q) + 3*w(q). Find the third derivative of a(c) wrt c.\nAnswer: 3960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 0.02. Let t = x - 0.27. Suppose -13*w = -346 + 307. Which is the fourth smallest value? (a) t (b) 0 (c) w (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203345100 rounded to the nearest 100000?\nAnswer: -203300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x**2 + 2171*x - 2164. Let t(g) = -12*g**2 - 2169*g + 2163. Let p(b) = -9*d(b) - 10*t(b). Find a such that p(a) = 0.\nAnswer: -718, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 157454, 314894, 472312, 629708?\n\"Answer: -11*i**2 + 157473*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5300004 + 1.53. What is p rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29, 34, 39, 44?\n\"Answer: 5*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 102 and 19563.\nAnswer: 19665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1066 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70006321 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -121 + 869. Let z be (-2)\/15 - (-5468)\/60. Let y = b - z. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11913, -6, -2 in ascending order.\nAnswer: -6, -2, 4, 11913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 3*y**2 - 2*y**2 + (2*y + 0*y - y)*(4*y - y - 4*y) - 2*y**2 + 0*y**2 + 4*y**2 + (4 - 4 - y)*(-3*y - 3 + 3) + 2 - 2 - y**2 - 3 + 3 - y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y + 386. Give m(-59).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 + 1.79. Let g = -1.1 - r. Let z = 2.8000052 + g. What is z rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/15 - 2*a**4\/5 - 2*a**3\/15 + 14*a**2\/15 - 8\/15 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 1. Let i(y) = 5*y + 234. Let k(r) = 3*b(r) + i(r). Let p(z) = 2*z - 118. Let h(c) = 6*k(c) + 11*p(c). Let s(w) = w. Determine h(s(t)).\nAnswer: -2*t + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13967124 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2624355 and 53\/49590?\nAnswer: 99725490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -109, 1, -2, -1, 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -1) + (-3957 - -3930)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 4)\/(2 + -1). Suppose n*l + 254 = 3*l + 5*z, 4*z = 4. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8679985 to the nearest integer?\nAnswer: 2946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -2*c**2 - c + 326. Let d(r) = r**3 - r**2 - r - 1. Calculate d(n) - s(n).\nAnswer: n**3 - n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7450947?\nAnswer: 3, 7, 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**3\/3 + 298*u**2 - 88804*u + 188. Factor w(o).\nAnswer: -(o - 298)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 - (0 + 9) - 1. Suppose -3*l - x*d = -5*l + 93, -l - d = -29. Calculate the highest common divisor of l and 357.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 21. Let x be l(-9). Let j be 3*(-1)\/(x\/(-32)). Suppose j*a - 3*a - 100 = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 70.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 1248 = 3*x. Suppose x = 2*g - 40. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22 + 0.2. Let p = c - 1.98. Let z(s) = -s**3 - 6*s**2 - 5*s + 1. Let n be z(-5). Do p and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7481583 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 719*q - 716*q. Suppose 4*x - 19 = -43. Let o = x + q. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3*k - 5*k)*(-281*k**2 + 281*k**2 - 19 + 2*k**3).\nAnswer: -2*k**4 + 19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwqwwwwwwwwwwwwww. Give prob of sequence qqw.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 = 4*l - 200. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/(-111))\/((-12)\/90)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 44*f**2 - 16*f**2 - 4*f**2 + 6*f**2 as k*f + j*f**2 + u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6235.461 seconds?\nAnswer: 0.0721696875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 3:43 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 137 + 88 = 0. Calculate the remainder when 134 is divided by f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 6086862?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*h**3 + 251684*h**2 - 2639535942*h + 3518933832 = 0. What is h?\nAnswer: 4\/3, 20973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/132 + (-20)\/(-3). Solve 11 = 4*n + y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 135*u - 106. Let m be c(2). Calculate the greatest common factor of 60 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -4. Let b = d + -0.1. Put 0.5, 2\/7, b in descending order.\nAnswer: 0.5, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (5 - (-5 - -9)). Let c = -3 - -2. Put 0, c, m in descending order.\nAnswer: m, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)*u\/u**(-1\/7))**(-1) assuming u is positive.\nAnswer: u**(-25\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012322230 + -100?\nAnswer: -1012322330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, k: 2}. Give prob of sequence tkt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 15) in base 3?\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 21210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a - 23. Let w be f(-7). Let l = 5 + -8. Let k(c) = 2*c**3. Let m(n) = 4*n**3. Give l*m(j) + w*k(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 6:58 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 17*c - 4 = 0, 8*m - 88 = 8*c - 14*c for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 18 (b) 443 (c) -0.4 (d) -75\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 156, 235, 316, 399, 484, 571?\n\"Answer: o**2 + 74*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167 + -400. Let s = -159 - l. What are the prime factors of s?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*z + 14013 = -590*z + 4053 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*i - 1, -i - 7*j = -3*j + 13. Let m = 1.2 - 1. Let y be -9 + 4 + (-1)\/27*-141. Which is the closest to 2\/5? (a) m (b) y (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 415513.\nAnswer: -5\/415513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 0. Let m(d) = -2*d**3 + d**2 + d + 1. Let q be m(-1). Let w(n) = -2 + 2*n - n**2 - 6*n - q*n. Determine w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -96. Let o(b) = 99*b**2 + 4*b + 10. Is o(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*t - 68*t = -18. Let k(b) = b**2 - 2. Let u be k(t). Suppose 0*c + 7 = -c - 4*s, -4*s = 5*c - 13. Solve c*j = -u*g + 1 + 9, -3*j + 10 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -72, -1\/7, -4, 0.5, 22, 0.3?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 4*q - 4. Let p be (1 - 0)*3\/(9\/15). Determine m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 33*d + 19. Let s(b) = 170*b + 96. Let h(r) = 16*q(r) - 3*s(r). Suppose 3*n + c = 6*n - 26, 4*c = 4. Is h(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 463 = 2*u - 4*m, -m + 383 = -4*u. Let g = u - -230. Let h = -1385 - -1419. What is the remainder when g is divided by h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1246785*n**4 + 2574440*n wrt n?\nAnswer: 14961420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1 + b**2 - 1 + 2*b - 1. Is 2 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74760349 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrvmwm. What is prob of picking 1 w and 1 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3 + 5845*c**2 - 11675*c + 5835 = 0 for c.\nAnswer: 1, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48939, 194250, 436435, 775494, 1211427?\n\"Answer: 48437*g**2 + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g = -21*g + 56*g + 256 + 810 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 20*k**2 + 18*k - 360. Let p be u(20). Let l be (-1 - 556\/(-30))\/162. Let q = l - 2\/243. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3872785, -3872883, -3872981, -3873079?\n\"Answer: -98*n - 3872687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7035 and 5565?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0937 + -0.1587. Sort -2\/21, x, 3 in decreasing order.\nAnswer: 3, x, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1372 and 8918.\nAnswer: 17836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1848678 or 0?\nAnswer: 1\/1848678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 - -2) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/6, -1.4, 1\/5, -0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aannnannanan. What is prob of picking 1 n and 3 a?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -123 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u + 3. Let d(b) = -6. Let j(f) = f. Let o(i) = -d(i) - 15*j(i). Let r(m) = -6*o(m) + 11*x(m). What is r(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637*g = -630*g - 593341. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -5 (c) -0.39 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 2, -11, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39111d + -5?\nAnswer: 391118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 576?\nAnswer: 1\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 594, -42, 1, -13 in increasing order.\nAnswer: -42, -13, 1, 594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzddzzdddddddddzddd. Give prob of picking 2 z.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1229.5928044 + 0.3784.\nAnswer: 1229.9712044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4417*a**3 + 8859*a**3 - 4369*a**3.\nAnswer: 73*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c = -7*c - 0*c - 285720. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/48 + 1 + (-1836)\/(-96).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 67*x - 657. What is c(-64)?\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 97 = 37 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pplllplllp. What is prob of picking 4 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -934676 and -2.9?\nAnswer: 2710560.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4872 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/25650343 or -0.1?\nAnswer: -4\/25650343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 423 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 22*f**2 - f + 30. What is j(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064288806.\nAnswer: 2, 7, 29, 139, 18859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 21 + 276 = 0. Let m = 355 + -1255. Let a = 918 + m. What is the remainder when y is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -90, -288, -502, -732?\n\"Answer: -8*p**2 - 174*p + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-19)*z)\/z))\/((((z\/(z*z\/z**(-34)*z)*z)\/z)\/z)\/z*z*z)*z**(-19)\/(z*(z\/(z**(-24)\/z*z))\/z) assuming z is positive.\nAnswer: z**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(637)*-3 + sqrt(637))*1 - ((sqrt(637) + 1 - sqrt(637)) + 5 + sqrt(637) - (sqrt(637) + -1)*6))**2.\nAnswer: -183744 + 4032*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u**3 - 11*u**2 + 6*u + 14. Let j(z) = -13*z**3 + 22*z**2 - 11*z - 26. Calculate -11*d(f) - 6*j(f).\nAnswer: f**3 - 11*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4\/2 + 14015*j**3 - 448207*j**2\/2 - 238119*j = 0.\nAnswer: -1, 0, 17, 28014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times -322?\nAnswer: 14490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 43. Let q = 5 - i. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + 1) + ((6*-1*sqrt(13))**2 - sqrt(13)).\nAnswer: -3*sqrt(13) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aat when three letters picked without replacement from {t: 4, a: 7}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 17*r**2 + 42*r - 86. Give o(19).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284543806\/10131 - -807315\/307. Let k = f + 25459. Let d = -98611\/24 - -4104. Calculate the common denominator of k and d.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/7 - 5164*h**4\/7 - 4361410*h**3\/7 - 1210091408*h**2\/7 = 0 for h.\nAnswer: -1096, -743, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**3 - 27. Let o(i) = 13*i. Determine o(t(l)).\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzdzqddzq. What is prob of picking 2 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkwwfffwkfwff. What is prob of picking 1 f and 2 w?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(65)*-2)\/(sqrt(405)*-1) - (-5*sqrt(468))\/(sqrt(24)\/(sqrt(6)*2)))**2.\nAnswer: 975988\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 1032?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 22*c - 321. Determine u(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 7*n - 29 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 425.7166 years?\nAnswer: 5108.5992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 350255740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 1)*(1 - 2 - 2)*(3 + 7 + 5)*(o + 2*o - 5*o) in the form k + c*o and give c.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p**2 + 11*p + 285. Let f be j(7). Let s(z) = -z**2 + 15*z + 70. What is s(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -767114 + 767038.0078. Let h = 76.176 + -0.176. Let a = x + h. Round a to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74243 by -1.\nAnswer: -74243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v - 6. Let l be b(-5). What is the common denominator of -18\/11 and l\/(-4) - (-47)\/12?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 36073*v + 199 - 36081*v)*(-5*v - v**2 + 5*v).\nAnswer: 8*v**3 - 180*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6\/17, -2\/15, -12\/11, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*u - 90*u + 168*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284.335mg in nanograms?\nAnswer: 3284335000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 9:37 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -31\/4 (c) 220 (d) 0.4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4054 + 414*i - 4054)*(0 + 1 + 4) to the form s + x*i and give x.\nAnswer: 2070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 23 = -1403. What is the remainder when 161 is divided by n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 18*i**4 + 3*i**3 + 2*i**2 + 3*i. Let n(h) = 36*h**4 + 5*h**3 + 4*h**2 + 5*h. Let l(q) = 3*n(q) - 5*v(q). What is the third derivative of l(y) wrt y?\nAnswer: 432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22835.0104397 + -22835. What is w rounded to 4 dps?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62291 and 1119?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4346423 + -2467726. Let i(b) = -b**2 + 26*b - 21. Let o be i(25). Suppose 0 = -o*f - 38697 + y. What is f rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(((((p**(2\/9)\/p)\/p)\/p)\/p)\/p)\/p*p)**(-4)*(p\/p**10)\/((p**(1\/14)\/p)\/p) assuming p is positive.\nAnswer: p**(509\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(q + 3*q - 2*q) + 190*q + 310 - 158 - 150.\nAnswer: 192*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*n + 28*n**2 - 99 + 99 wrt n.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z - 266*z + 2*z**2 - 442*z + 1137 - 217*z wrt z.\nAnswer: 4*z - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 8)*1\/(-2). Let b(a) = -6*a + 0*a + 1 + s*a - 5. Give b(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -5*j**2 + 0*j**3 + 5*j + 1\/3*j**4 - 1\/20*j**5 + 0. Give z(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -630*f**3 - 884 + 359 + 159 + 366.\nAnswer: -630*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 84, 1\/5, 5, 1, -0.293, 2\/3?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(sqrt(612) + 2)**2.\nAnswer: -11088 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + s + 29 = 0, k + 139 = -2*s + 132. Which is bigger: -12 or k?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12052*q = 2*r - 12047*q - 89, -23 = -4*r - 2*q + 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 4*y**2 + 1. Let i be a(-4). Let u = 2 - i. What is the units digit of 2*3 + (-3)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + 9*g - 9. Determine n(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from ataaaeeettaat?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -4 + 1\/2*r**2 - 6*r. Let s be a(4). Is s bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.276 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -116226.943+-5\nAnswer: -116231.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5031755 millennia?\nAnswer: 6038.106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4 - 480*t**3 - 12756*t**2 + 26968*t - 13728 = 0. What is t?\nAnswer: -78, -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g. Let c(i) = -2*i - 7. Let d be c(-5). Suppose 7 = 4*w + d. Let a(o) = -o - 1 + w. Determine a(v(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8287.293kg in nanograms?\nAnswer: 8287293000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-10)*((-64)\/(-40))\/(-10 - 2096\/(-200))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 81*o**2 + 4 + o - 5 - 81*o**2. Let l(t) = -15*t**3 - 11*t + 11. Calculate -22*f(v) - 2*l(v).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1310*w - 1312*w + 20*w**2 - 1300*w + 3922*w.\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -20. Let r = -1 + p. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*n**5\/4 - 110613*n**4\/4 + 320697*n**3\/4 - 293223*n**2\/4 + 34701*n\/2 + 3564 = 0.\nAnswer: -216, -22\/173, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741112606?\nAnswer: 2, 13, 619, 46049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -8. Suppose -4*l + 45 = w*l. Suppose -l*g = p + 15 - 437, 799 = 2*p - 5*g. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from unn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 603, 598, 581, 546, 487, 398, 273, 106?\n\"Answer: -t**3 + 2*t + 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/27 - -2)\/((-17)\/153)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyefyffeyyyf. Give prob of picking 1 f and 1 e.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 235342887.\nAnswer: 1\/235342887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + 0.12. What is the second biggest value in 0.5, 5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 677176112*x**2 + 153926599.\nAnswer: 1354352224*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**2 + 7*t**2 + 10*t**3 + (-2 + 2 + t)*(-2*t**2 + 0*t + 0*t) + 4 + 2*t**3 - 4)*(-3 - 3 + 3) + (3 - 2 + 1)*(-3*t**3 + 4*t**3 - 2*t**3).\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3733 + 1979 + 8*b + 3765 - 9477.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let x be y(-3). Let f(w) = -w**2 - 7*w - 1. Let l be f(x). Let o = l - 7. What is the remainder when 7 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4529.386 - 4530. What is o rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*g + 118, -3*g + 0*f - 4*f + 100 = 0. What is the highest common divisor of g and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154 + 123 + 15 + (-5 - 12)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -941 and -3.\nAnswer: 2823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 872\/(-140))*(-3)\/(12\/14).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-75))\/((-4)\/(-20)). Find i, given that -b*i**2 + 4\/5 + 0*i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495792 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/19 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:12 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 17 - 15*t - t**2 - 14*t - 39. Calculate the remainder when 46 is divided by b(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -12. Suppose -w*g + 0*g - 24 = 0. Let y(o) = o**2 + 7*o - 7. Let v(i) = -i**2 - 6*i + 6. Determine g*y(a) - 7*v(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 2*l**3 + 6*l**3 + 1 + 2*l**3 - 1 + 2*l**3 + 4*l**3 - 3*l**3 + (2*l - 5*l + 2*l)*(-l**2 + l**2 + 2*l**2))*(-4*l - 2*l + 5*l).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1316035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h + 1. Calculate g(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.179 + 61.421. Let h = v + -61.6263. Round h to three decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3 + 1007*x**2 + 9959*x - 10967 = 0. Calculate x.\nAnswer: -997, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1203080 divided by 38.\nAnswer: -31660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -170630.834 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31 (b) -4 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 47223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Suppose 3*s = -2*a - 6, -s + 4 = -3*s. Suppose z + a*z + r = 0, z = i - 16. What is the least common multiple of i and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*p + 79*p + 6. What is the least common multiple of p and 3612?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 21*o**2 - 23*o - 24. Let g be h(-22). Let d be (1 + g)\/((-25)\/10). Factor 0*f + 2\/5 - d*f**2.\nAnswer: -2*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12788860?\nAnswer: 2, 5, 7, 167, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 140\/3 in decreasing order.\nAnswer: 140\/3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, x: 3, k: 1, j: 7}. Give prob of picking 1 k and 1 j.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 2*j**2 - 3*j + 3. Let v(p) = -2*p**3 + 3*p**2 - 4*p + 4. Let k be ((-3)\/2 + 0)*(-240)\/(-90). What is k*g(o) + 3*v(o)?\nAnswer: -2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686076 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*r - 119*v + 115*v, -56 = -4*r - 4*v for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 11:03 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559357*-4.\nAnswer: 2237428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745.\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-252))\/(18\/21).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0, 181 in decreasing order.\nAnswer: 181, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 - 45538789367221\nAnswer: -45538789367222.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkl when three letters picked without replacement from llkkkkkkklkkkkkkkkkk.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6806624 and 3872?\nAnswer: 74872864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h. Let f(a) = -a**3 - 24*a**2 + 106*a - 165. Let r be f(-28). Solve 3*x - 4*j - r = h, -j + 0 = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*a + 2*a - 18, 21 = -4*q - 3*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/7 + 668*z**4\/7 - 10824*z**3\/7 + 13876*z**2\/7 + 223178*z\/7 + 197808\/7 = 0.\nAnswer: -3, -1, 8, 13, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 + a - 3 - 2*a - 5 wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 11*s + 19. What is the remainder when i(9) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13512044 and 68525366.\nAnswer: 959355124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 68*z**3 + 5 - 5 - 65*z**3 - 3*z as n*z**3 + d*z**2 + v*z + i and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111 + 119. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/7))**(-10)*p**(-4)*p**17 assuming p is positive.\nAnswer: p**(101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -22. Calculate the remainder when 32\/40*(-15)\/x is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8) - (-442)\/(-4). Let u be 2\/(-4) - 85\/i. Suppose -g + 15 = -4*g, -5*f - 4*g - 20 = 0. Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - -1023?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1052016240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 - 14. Let v(s) = s**2 + 1. What is 2*b(k) + 6*v(k)?\nAnswer: -2*k**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 4. Let h be i(0). Let s(z) be the first derivative of 7*z**2 - 16*z - 70. Let x be s(h). Round x to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**3 - 2*c**2 - 23*c - 12. Calculate l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**1*(a**0)**(-40)*(a**1*a)**(38\/7)*a\/a**(-3)*a**(2\/7) assuming a is positive.\nAnswer: a**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21784 divided by -28?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7997?\nAnswer: 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18158 or -18170?\nAnswer: -18158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r - 20. Let v = -1 - -3. Suppose 0 = -2*j + 4*s, 4*j - 40 = -0*s - v*s. Let t be l(j). Calculate the highest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 268, 191, 118, 49, -16, -77, -134?\n\"Answer: 2*a**2 - 83*a + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwuuuu. Give prob of sequence uuuu.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 179856 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 3*q - 2. Calculate the remainder when j(-3) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 38786851\nAnswer: -6\/38786851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccdcdcddcvvvvcc. What is prob of sequence dccv?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93258629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 4275*z**2 + 4280*z.\nAnswer: -5*z*(z - 1)*(z + 856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*d - 2640 = 121*d. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 498.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356669 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.500434 centuries to months.\nAnswer: 6600.5208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 5*o**2 - 4*o + 4. Let a be i(-4). Suppose a*l - 18 = 7*l. Let c(g) = -7*g - 9. List the prime factors of c(l).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/15)\/(b\/((b*b**(-16))\/b))*b*b**(-4)*b*b\/((b\/(b\/(b**(1\/15)\/b)))\/b))**18 assuming b is positive.\nAnswer: b**(-294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221122102100 - -22120?\nAnswer: -221122002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11700 - -257489\/22. Let n(p) = -24*p**2 + 2*p - 2. Let d be n(1). Calculate the common denominator of b and ((-1)\/d)\/(15\/(-1245)).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1208.\nAnswer: -1\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 102?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.211? (a) 0.4 (b) -2\/3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2. Let r(u) be the first derivative of 9*u**2\/2 + 34. Give r(t(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5241729?\nAnswer: 3, 17, 79, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -1471.5 - -1471. Which is the nearest to 0.14? (a) 2 (b) m (c) 4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -902 (base 10) to base 2.\nAnswer: -1110000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**5 + 178*g**4 + 7764*g**3 + 42392*g**2 + 82016*g + 53760 = 0?\nAnswer: -112, -60, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f**3 + f**2 + 21*f + 8. Let g(k) = 8*k**3 + 20*k + 6. Let s(h) = -4*g(h) + 3*p(h). Find the third derivative of s(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 7*o**2 + 19*o + 8. Let x be z(8). Let a = -146 + x. Is a a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by -29.\nAnswer: 42\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 4, -7165 in ascending order.\nAnswer: -7165, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160424?\nAnswer: 2, 11, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(3707 - 291*d - 3707)*(25*d**3 + 42*d**3 + 9*d**3).\nAnswer: 44232*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.95 + 9. Which is the biggest value? (a) 5 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -114 + (4 + 0 - 2). Let j be (-6)\/27 + o\/(-180). Which is the nearest to j? (a) 0 (b) 4 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -888\/17 (c) 0.01 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + -450966.771.\nAnswer: -451014.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1681 = -16*u + 38831. 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 prob of sequence bll when three letters picked without replacement from lbbbllb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/5 - 14*m**2 + 1143*m\/5 + 2574\/5.\nAnswer: (m - 39)*(m - 33)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1405964794 to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 6*v**2 - 2*v - 10. Let u be a(-6). Solve -3*c - 10 = 4*p, -5*c = -u*p + p + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 10*t + 5. Let g be a(-10). Let o(j) = -151*j**3 - 5*j**2 - j + 5. Let w be o(g). What is w rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/150 and -119\/270.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, p: 3}. Give prob of sequence opop.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - h = 1, -60*h + 30*h = -3*y + 30 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 2. Let z(g) = g**3 - 6*g**2 + 2*g + 2. Let r be z(6). Suppose 0*k + 8 = -2*k, 5*u - k = r. Let i = 6 - u. Calculate x(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0*s + 19\/24*s**4 + 0*s**3 + 51\/20*s**6 + 1\/15*s**5 - 255 + s**2. Find the third derivative of u(o) wrt o.\nAnswer: 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*o - 296 = 0, 2*z - 4*o - 148 = o. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6556.700591 - -6471.70059233. Let z = u - -85. What is z rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1. Let c be m\/2*(-5 - -5)\/1. Suppose c = 2*n + 3*o - 273, -8*n + 10*n - 269 = o. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 3:44 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18896044 is divided by 914?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*o - 3)*(2*o + 0*o - o) + 62*o - 14*o**2 - 62*o.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12378659 is divided by 785?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 >= -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 39*c**2 - 24*c + 24. Let q(h) = 8*h**2 - 5*h + 5. Let l(a) = -24*q(a) + 5*u(a). Let p(k) be the first derivative of -2*k**3\/3 - 1. Determine l(p(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - n**2 - n + 59. Let b = -5 + 5. Let m be s(b). Suppose 5*k = 3*u - 25, k = -5*u + 5*k + m. What is the greatest common factor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/41174 and -55\/714.\nAnswer: 123522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 253.999998112 + -254. Round g to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 3*m. Let a be d(-4). Suppose -8 = -3*j + 4. Let x(l) = l**3 - 3*l**2 - 6*l + 3. Let p be x(j). Sort p, -1, a.\nAnswer: p, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1. Let i(j) = 3*j - 5. Let d(f) = i(f) + 3*r(f). Suppose -3*b - 5*t + 3*t + 10 = 0, -b + 2*t = -6. Let z be d(b). Solve 5*a + 0 = z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72444 * -5.\nAnswer: 362220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 64\/28) + (0 - 39\/(-63)). Sort 2\/7, 5, h, -0.4, 7 in descending order.\nAnswer: 7, 5, h, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2502)\/2398167)\/(6\/(-243))\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*a - 1 + 25*a - 1 - 475*a**2 + 409*a**2 to i + b*a + r*a**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02648319 rounded to 4 dps?\nAnswer: -0.0265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**3 - 4*x + 2*x**2 + 0*x**3 + 2*x**2 + 3*x**3. Let o(a) = 5*a**3 - 5*a**2 + 5*a. Give 5*h(l) + 4*o(l).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1691352 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + 0.01. Sort -3\/7, u, -1\/2 in descending order.\nAnswer: u, -3\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 - 4 + 2 + 1 - 3 + 2 + 3 - 1 + 0 + 2 + (0 - 2 + 1)*(-5 + 4 - 1) + 1 - 2 + 2)*(-k**3 + 5*k**3 - 2*k**3).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, g: 1, a: 2, n: 3, v: 1, e: 6}. Give prob of picking 1 a, 2 e, and 1 n.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 8*w**2 + 4. Let j be c(-8). Let g(z) = 7*z**3 + 4*z**2 - 5*z + 1. Let v be g(j). What is the tens digit of (-2)\/(-5) + v\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 9\/4*(-36)\/(-27). Solve 0 = -i - b + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 2 + (sqrt(64)*1*-2)\/(2*sqrt(1250))).\nAnswer: 8*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2469255 - -11?\nAnswer: 2469266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*a + 16*a - 2*a**4 + 1 - 27*a + 72*a**3 + 14*a**4 - 6*a**4 to the form t*a**3 + d*a + i + k*a**2 + l*a**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 9940, -12\/53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34\/63 - -16\/21. Let l be 5\/(-2)*5\/(-75). Let s = 0.9 - 1. What is the nearest to s in l, b, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - f**2 - f. Let o(a) = -152*a**3 + 133*a**2 + 133*a. Give -2*o(t) - 266*p(t).\nAnswer: 38*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x*x**13)\/x*x))\/(x**(-3)*x))\/((x*x**(-14))\/(x*x*(x\/(x**(-2\/29)\/x)*x)\/x)) assuming x is positive.\nAnswer: x**(147\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 6*q + 3. Suppose 2*z - 2 = 3*a - 3, 4*z = 4*a. Suppose 2*y = 9 - a, -16 = p - 3*y. Calculate s(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 23*r**4 - 2*r**3 + 4 - 24*r**4 + 0*r**2 - r**2 in the form x*r + c*r**4 + i*r**2 + g*r**3 + l and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = k - 590, o + 3*k = 123 - 5. What is the remainder when o is divided by 53?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3248 + -16237\/5. Factor -4\/5 + 4\/5*r - 2\/5*r**3 - 1\/5*r**4 + i*r**2.\nAnswer: -(r - 1)**2*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 41841.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11720 + 11958. Which is the biggest value? (a) 4 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 2*p**2 - 1. Let n be q(-1). Suppose -3*l + b + 151 = 0, n*l + 5*b + 131 = 3*l. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 0.7. Let u be (-28)\/(-6) + ((-126)\/(-27))\/(-7). What is the closest to j in 2, 1\/7, u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 811 - 811.4835. Let d = a - -0.53. What is d rounded to 3 dps?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:28 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720\/19861 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-50)\/(-8) - 5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21384 is divided by 4867?\nAnswer: 1916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/13*f - 96\/13*f**4 + 4\/13 - 128\/13*f**5 - 58\/13*f**2 + 296\/13*f**3 = 0. What is f?\nAnswer: -2, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -354048? (a) -5 (b) 0.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006034 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*8\/(2\/1). Let s(c) be the second derivative of 1\/30*c**4 - 1\/50*c**5 + 0 + 1\/3*c**3 + 9*c + 3\/5*c**p. Determine h so that s(h) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:31 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a kilogram in grams?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-560)\/(-25) + 5\/((-25)\/2). Let h = -20 + w. List the prime factors of (50\/(-30))\/(1*h\/(-78)).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -3\/2*t**2 + 3 + 6*t. Let u be (28\/(-12) - -2)\/((92\/(-48))\/23). Calculate g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(637) + -1 - (sqrt(637) + sqrt(637) + (sqrt(637) - (sqrt(637) + sqrt(637) + -1 + 3)) - sqrt(637))) + 2 + -3*1*sqrt(637)*5*-5)*-6)**2.\nAnswer: 111888*sqrt(13) + 125575956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5000) - (sqrt(5000) - -4*(3 + sqrt(5000)))**2 - ((-4 + 2*sqrt(5000))**2 - sqrt(5000)).\nAnswer: -145160 - 5100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-16\/9)\/j*j)*j*j**(2\/9)*(j*j**(1\/4))\/(j\/((j**(-2\/25)\/j)\/j)) assuming j is positive.\nAnswer: j**(217\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 244123?\nAnswer: 244120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6304 divided by 4?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.010964169?\nAnswer: 0.0010964169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1507 or 1174?\nAnswer: 1174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-5))\/(3*(-6)\/(-162)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-1\/6)*m)\/m)*(m*(m*(m*m\/(m*((m\/((m\/(m\/(m\/m**(-1)*m)))\/m*m))\/m)\/m))\/m*m*m)\/m*m)\/m)\/(m**(1\/5)*m\/(m*m**(-2\/11)*m)) assuming m is positive.\nAnswer: m**(2899\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 13) to base 16\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1469424139 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9, -7*v + 2*n + 5964 = -6*v. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/(-160)*(-2844)\/90 and -53\/158?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(5\/6)*n*n*n**(4\/5))**(-14\/3)*n**8\/(n*n*n*(n**(-3)\/n)\/n*n)*n*n**2*n**7*n assuming n is positive.\nAnswer: n**(-283\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Let p = r - 3.7. Let v(j) = 3*j - 39. Let n be v(14). Which is the biggest value? (a) p (b) -1\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136423.\nAnswer: 7, 19489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12701*p - 12709*p + 25412*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01096527 to five dps.\nAnswer: -0.01097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -6*l. Suppose 0*z - z + l*p = -5699992, -5*z + 28499992 = -2*p. What is z rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-6)\/(-16))\/((-72)\/6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312188.\nAnswer: 2, 17, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-8))\/((306\/552)\/17) and -23\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/((-44)\/(-2066)). Let i = -3647\/6 + 17677\/30. Let q = x - i. What is the closest to 1\/4 in q, -1, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - 1 - 8\/4. Let q be -5 - 17\/(-3) - (a - 3). Let i = -10\/9 - q. What is the second smallest value in 0.14, i, -0.2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27976451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 6*u + 2*v - 26, -4*u - 5*v = -50. Let f = u + -11. Solve -a + 3*q = -0*q - 6, 4*a = f*q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(275))**2 + 2)*-2.\nAnswer: -562 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11121 (base 7) in base 2?\nAnswer: 101011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1669168*h - 8345857. Calculate p(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 - 31983*a - 19044046\/5.\nAnswer: (a - 160034)*(a + 119)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 304*k**2 - 14587*k - 257. What is f(48)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -329\/60 + 409\/60. Determine q, given that 2\/3*q**2 - 2*q + u = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/8 - 4311*v\/2 - 6194907\/2.\nAnswer: -3*(v + 2874)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*o - o. Let w(i) be the first derivative of -i**3\/3 + i + 39. Let d(t) = -3*t**3 - 3*t**2 + 1. What is o*w(r) - d(r)?\nAnswer: 3*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21990)\/109950)\/((-1)\/8*1).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -0.04. Let x = -3207.8603 + 3208. Let f = x + y. Round f to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/280 and -32\/385.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 10) to base 13.\nAnswer: 1ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a. Let f(t) = 17225*t**2. Give f(w(c)).\nAnswer: 68900*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -112. What is the remainder when 49 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -18 + 2. Suppose -t*y = -7*y - 3, 0 = -4*o + y + 301. What is the remainder when o is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 1. Let m(c) = 5*c - 53. Let q be m(11). Let o(p) = -p**2 + 2*p + 6. What is q*r(k) - o(k)?\nAnswer: k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 + -21.9.\nAnswer: -21.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**4 + 3*b**4 - 9*b + 488964*b**2 - 19*b**3 - 2 - 488965*b**2 to g*b**3 + z*b**4 + n + f*b + h*b**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5.6912 times 0.0569\nAnswer: -0.32382928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234070\/2261 + 1974\/19. What is the common denominator of 7\/187 and d?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644913*s**2 - 644913*s**2 + 738*s**3 - s.\nAnswer: 738*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u = 22*u - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 - 4*m**2 - 5*m - 9. What is d(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0\/(4\/1). Suppose w + 270 = 5*y + 92, 5*y - 5*w - 170 = u. Calculate the remainder when y is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 48*u = 231448. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 835\/30 + 2\/12. Suppose -b*i - 360 = -48*i. What is the least common multiple of 240 and i?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.571925 decades?\nAnswer: 188.631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 0 + (2 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66, 260, 586, 1044, 1634?\n\"Answer: 66*g**2 - 4*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 26. Suppose -169 = 7*k + p. What is the remainder when 5*(-1)\/(25\/k) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 24 (b) -1 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.143 + 1.857. Which is the fourth smallest value? (a) -0.4 (b) 4 (c) 1\/3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*1*(14 - 15). Put 3, -1, g in decreasing order.\nAnswer: 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, a: 3, g: 2, q: 8}. What is prob of picking 3 u and 1 g?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003517188 to 5 dps.\nAnswer: -0.00352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = u - 2*u + 45, 2*u = -5*j + 54. Suppose -j*m = -16*m + 8. Solve 0*z = 2*l + m*z, 5*l - 30 = z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/(s*s**(-1)))\/s*s)**(-31))**(-1\/2) assuming s is positive.\nAnswer: s**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12304 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: Let j(h) = 7*h**2 - 16*h + 10. Let l(b) = -6*b**2 + 11*b - 12. Calculate -5*j(q) - 6*l(q).\nAnswer: q**2 + 14*q + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 11:24 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 127*g - 7297. Calculate r(170).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29874f - 3?\nAnswer: -298752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/7 and (-1 - (-291)\/(-420))\/((-24)\/20).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 18. Give f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -n + 6*n - 4*t, n = -3*t + 15. Suppose 5*g + 2*j = 41, n*g = g + 5*j - 22. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2482, 3632, 4796, 5980, 7190?\nAnswer: 8432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/163889 + -3610329\/781914419. Find the common denominator of -73\/3 and u.\nAnswer: 14313","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40.15, -37, 1, -3, -5 in descending order.\nAnswer: 1, -3, -5, -37, -40.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-7)*i*i*i**(2\/43))\/(i*i**(-4\/11)*i)**(1\/67))**(-31) assuming i is positive.\nAnswer: i**(3907984\/31691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -z + 27, 3*z + 9 = -4*q - 2*z. Let l be (-15)\/q - (-2)\/4. What is the tens digit of (-4 - -2) + l - -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78906823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -108377 * 815\nAnswer: -88327255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -1\/21*r**3 + 53\/14*r**2 + 54\/7*r - 205. Find z such that m(z) = 0.\nAnswer: -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/8, 5, 3, -727, -2 in increasing order.\nAnswer: -727, -2, -1, -1\/8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 217212282 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/(-2)*(-8)\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21359861 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -25141 + 8088?\nAnswer: -16042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 2\/13 (c) -1047 (d) 3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -41, -2, 1941, -5 in increasing order.\nAnswer: -41, -5, -2, 0, 1941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4 + 436*h**3 + 9*h - 540?\nAnswer: 24*h**2 + 2616*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cip when three letters picked without replacement from {c: 1, i: 1, t: 2, p: 2, h: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(1 + (0 - 3)))\/(-4). Suppose -13*a + 8*a + 10 = d. Let t(w) = w**3 - 5*w**2 + 3*w - 6. Calculate the lowest common multiple of a and t(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -144832 at most -144976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 539460109 and -0.65.\nAnswer: 539460108.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222.3 - -222.8. Which is the second smallest value? (a) n (b) 0.76 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 bigger than 719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -245*t**3 - 12*t**2 - 6. Let g(l) = 7105*l**3 + 350*l**2 + 175. Give -175*c(o) - 6*g(o).\nAnswer: 245*o**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/2 (b) 252691 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 3*l + 3148 = 8*j, 5*j + 2*l = 7832. Calculate the highest common factor of j and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {o: 8, t: 2, g: 2, x: 4, u: 3}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31893*i**4 + 3589.\nAnswer: -127572*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 411 and 0.3664.\nAnswer: 150.5904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v + 3. Let i(r) = -4*r + 2. Suppose -5*q - 2*z - 20 = 0, -23 = 2*q + 3*z - 4. What is q*g(d) + 5*i(d)?\nAnswer: -2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*r + 4*a - 5*a, 3*r + 2*a = -53. Suppose 5*y - 4*y = 4. Let u = -6 + 9. Sort u, r, y in descending order.\nAnswer: y, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 51031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21470 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 35208.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119931675.\nAnswer: 3, 5, 29, 67, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(98))\/sqrt(2) - (sqrt(49) - sqrt(98)\/sqrt(2)*4))\/(-6*sqrt(21)\/sqrt(3)*-2).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 15*a**2 + 2*a + 43 - 7 + 41*a**2 - 26 to m + c*a**2 + i*a and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/13)\/u)**(-18)*(u\/((u*u*u\/u**(1\/15)*u)\/u))\/(u*u**(-22)*u))**(3\/20) assuming u is positive.\nAnswer: u**(6493\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = 19*s - 3175. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -23*c**2 + 3. Let q(w) = -1. Determine f(s) + 3*q(s).\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*g + 76*g - 182*g = 0. Find b, given that g - 578\/3*b - 2\/3*b**3 - 68\/3*b**2 = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -102*n + 216. What is b(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 3*p - 2216870 + 2216827, -4*h - 35 = 3*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -120, 14, 45 in increasing order.\nAnswer: -120, 5, 14, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248420427?\nAnswer: 3, 47, 1761847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2095, 4119, 6143?\n\"Answer: 2024*t + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5*h = 29, 26*m - 24*m + 4*h = -10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-56))\/((-6)\/32) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-22)\/(-1))\/((-13)\/(-65))?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 + 2 + 3 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - 2*y**2 + 4*y**2)*(3 - 3 - 2*y**2 + (y - 4 + 4)*(0*y - 2*y + 3*y)) + (2*y - y + 3*y)*(-3*y**3 - y**3 + 3*y**3).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in milligrams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40\/3863 + 270683\/3383988. Calculate the common denominator of m and -80\/1533.\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 2. Let l be x(-8). Suppose l*f - 2*f = -0*f. Suppose 0 = -4*d + 3*h + 5498, f = -d - 0*h + h + 1375. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/1 - (-1)\/1. Suppose -6*d + 32 = -2*d. Let t = x - d. 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 remainder when 2419438 is divided by 3102?\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f = 4*p + 91, -5*f - 912*p = -915*p - 37 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6464783, -6464785, -6464787, -6464789?\n\"Answer: -2*v - 6464781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0332 - -20.1332. Let a = k - 22.1. Sort -1\/3, a, 4, -0.01 in descending order.\nAnswer: 4, -0.01, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 7*v + 10. Let a be w(-5). Solve a = -n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 18. Determine t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*v - 282 + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 16. Determine g(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 790 + -497. Let p = b - 285. Let i(w) = -w**3 + 7*w**2 + 7*w + 5. What is i(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*x - 2 = 12, -4*q + 2*x = -22. Let h = q + -6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 1389365.\nAnswer: -19\/1389365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0*g**3 + 0 + 1\/180*g**6 + 0*g + 1\/45*g**5 - 1\/24*g**4 - 2\/315*g**7 + 1\/1008*g**8 - 170*g**2. Factor u(a).\nAnswer: a*(a - 3)*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:33 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(200) + -3 + sqrt(200)).\nAnswer: -3 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558545 is divided by 2463?\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 19*c**5\/24 - 131*c**4\/24 + 34*c**3\/3 + 4*c**2 + 17*c. Let u(o) be the first derivative of s(o). Differentiate u(h) wrt h.\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -36416655\/8 and -4552083 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2599, -2600, -2601?\n\"Answer: -f - 2598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 24. Let z(f) = -t*f**2 - f + 0*f + f**2. Suppose 13*o = 6*o + 7. Calculate z(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 31*f**4 - 4*f**2 + 214916*f - 214908*f + 4*f**3 to d*f**3 + y*f**2 + m*f**4 + g + x*f and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 - -1601242?\nAnswer: 1601276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, p: 2, i: 2}. Give prob of picking 1 k and 2 p.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/40)\/(3\/(-10)). Let z be (11 - q) + -2 + 6. Suppose -5*t - 4*h + z = -4, 0 = 4*t + h - 23. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmmxmpydppdupm. Give prob of sequence pu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/sqrt(4) + -2 - ((sqrt(13) + 1)*-4)**2.\nAnswer: -226 - 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 203*s + 203*s + 16*s**2)*(-2 - 2 + 1)*(2 - 2 + 2*s).\nAnswer: -96*s**3 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 6*f + 4. Let k be a(5). Let s(w) = 0 + 7 + 0 + 2*w. Let i be s(k). Solve -6*c + c = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4 + 4 - 6*h. Let q(i) be the third derivative of 0*i**3 + 0*i**4 + 1\/60*i**5 + 3*i**2 + 0 + 0*i. Give q(x(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491.\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*(j\/j**(1\/8))\/j*j)\/j)\/j)**41\/((j*j**(1\/22)*j)\/j*j*j\/(j**21\/j)) assuming j is positive.\nAnswer: j**(4649\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 - p**3 + 0*p**3)*(-4 + 3 + 0) + 17746*p**2 - 116*p**3 + 312*p**3 - 17731*p**2.\nAnswer: 198*p**3 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42a894 (base 11) to base 4\nAnswer: -2213323323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83633262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, 0.3, 40 in decreasing order.\nAnswer: 40, 0.3, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118397268601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 2*y. Determine i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 - 138. Let s(k) = 4*k**3 - 5*k + 3 - 3*k**3 + 3*k**2 - 5. What is the tens digit of s(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8713 is divided by 520?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56836 = -5*v + 189106. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2. Let i(y) = 14*y - 5*y - 6*y - 4*y. Let o(p) = -14*p. Let z(k) = 36*i(k) - 2*o(k). Determine z(j(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186 + -16. Calculate the highest common factor of 68 and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13409328169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 75. Suppose p*m - 882 = -5*j, 0 = -2*m + m - 1. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u**3 - 6*u**2 + 22*u. Let b(n) = -n**3 - n. Let z(d) = 28*b(d) + 2*x(d). Solve z(h) = 0 for h.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-219)\/15 - -2 - 15\/(-25). Let v be -2 - ((-17 - a) + (0 - -1)). Let -6\/5*j**v + 0 + 4\/5*j + 2\/5*j**3 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195344 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 163 or 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000241 to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270554634.\nAnswer: 2, 3, 7, 715753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 5*v + 3, 0 = l + 2*v - 3. Solve 0 = -l*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -111*t - 1. Let m(o) = -o. Determine v(m(u)).\nAnswer: 111*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -197*c**3 + 911 - c**2 + 228*c**3 + 24 wrt c?\nAnswer: 93*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + j**2 - 2*j + 3. Let r be (2 + -2)\/(-4)*1\/4. Let m be i(r). Suppose -5*s - 4*z + 570 = z, 3*s - m*z = 324. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -2, 0.3, 302?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4577*l**2 + 6*l. Let o(c) = -13982733*c**2 - 18332*c. Determine -3*o(k) - 9166*q(k).\nAnswer: -4583*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 5*k - 4*k - k**5 - k**5 - k**2 + k**2 - k**5 + 5*k**5 - 3*k**5 + (2 - 3 + 3)*(-k**5 - 3 + 3) - 3*k**5 + 0*k**5 + 2*k**5.\nAnswer: -4*k**5 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((3*sqrt(136)*2 + sqrt(136))\/sqrt(8) - (sqrt(1088) - -1*5*sqrt(1088))**2).\nAnswer: -39169 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, q: 4, c: 6}. What is prob of picking 2 q, 1 a, and 1 c?\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 20*z**2 + 18*z - 60. Let u be p(-21). Calculate the remainder when 21 is divided by ((-99)\/(-2))\/u + (-21)\/(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45\/4 + (-21)\/84 is divided by (8\/(-6))\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(-5\/6))*d\/d**(6\/19) assuming d is positive.\nAnswer: d**(173\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1096\/685*15\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -11. Let q = -1 + w. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1629119, 1629121, 1629123, 1629125, 1629127?\n\"Answer: 2*w + 1629117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -28441197 and -28441198 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047497863 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01048267 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g**3\/13 - 11390*g**2\/13 - 274116*g\/13 - 60352\/13 = 0 for g.\nAnswer: -23, -2\/9, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c - -1beba?\nAnswer: 1bf36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*0.07716922\nAnswer: -0.11575383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k + k. Which is the closest to 0.1? (a) 0 (b) k (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25078987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1501491432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -21*p - 32. Let i(t) = 12*t**2 - 8. Determine u(i(s)).\nAnswer: -252*s**2 + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20289, -81094, -182427, -324282, -506653, -729534?\n\"Answer: q**3 - 20270*q**2 - 2*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -47, -98, -167, -254, -359, -482?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*z - 219*z - 261 + 263 as j + t*z and give t.\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8317 divided by -498.\nAnswer: -8317\/498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-8 + 21 - 7 - 25).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 17*b**2\/2.\nAnswer: b**2*(b + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 442851?\nAnswer: 442851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1831\/228 + -132\/19. Let l(f) be the second derivative of 0 + 0*f**3 + 0*f**2 - 6*f - y*f**4. Let c(p) = -2*p. What is l(c(g))?\nAnswer: -52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2168 + 3089. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 100*s. Let u be f(1). Determine h, given that 2*h**2 + 358*h - h**2 - 338*h + u = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 + 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(w - 2 + 2) + (0 + 2*w + 0)*(-2 + 2 - 4).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15653975?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28128765 by -35.\nAnswer: 803679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 25*y**2 - 3*y. Let w(b) = -50*b**2 + 5*b. Let z(d) = -d**2 - 150*d + 1259. Let k be z(8). Calculate k*i(x) - 3*w(x).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.60049ug in tonnes?\nAnswer: 0.00000000008260049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 501205683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*d + 290 = 0, 5*x = 31*d - 35*d + 1393. Calculate the smallest common multiple of x and 5.\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -0.5 (c) 0.2 (d) 8533\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*f*i*x**3 - 8*f*m*x**2 - 3*f*x**3 - 6*i*m*x**3 + 4*i*m*x + 3*i*x**2 + 2*x wrt m?\nAnswer: -8*f*x**2 - 6*i*x**3 + 4*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**28\/k**(-20)*k**(-6)*k*k**17*k assuming k is positive.\nAnswer: k**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16668 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g + 5*v, -3*g + 6*v + 6 = 9*v. Solve -g*t - 18 - 2 = -5*i, 4*t - i = -22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10398 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 402335 - 253904. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 4*m**2 - 3*m**2)*(1 + 1 + 1)*(-m - 61 + 61).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3705 + 3696. Which is the smallest value? (a) 5 (b) -2\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 23 = 57. Let t be (0 - 0)\/(-7 + 5). Suppose t = -3*w + 3*i - 5*i + 178, -i = 4. What is the remainder when w is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-60)\/22778)*2 - (-36)\/27. Is -3795 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13296 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, -1, -66, -157, -274, -417, -586?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16548*a - 8906*a - 3119*a - 13532*a.\nAnswer: -42105*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 35 = -2*p. Let x(i) = 7*i - 4. Does 13 divide x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*a - 19, -y = -4*y + a - 9. Let j be 0*(0 + y + 3). Solve 5*m + 15 = 5*s, -4*m - 12 = s - j*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003886923 to 5 decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 4. Let c be d(-3). Suppose -c = -g + 16. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2614*b*v**3 + 224*b*v**2 - b*v + 14*b - 33317*v**3 - 17*v + 85 wrt v?\nAnswer: -15684*b - 199902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwxxxxioi. What is prob of picking 1 o, 1 x, and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2. Let s = -24 - -2. Let w(c) = -5*c**2 + 11*c + 11. Let r(l) = 6*l**2 + 2 + 2*l - 14*l**2 + 7*l**2. Let n(u) = s*r(u) + 4*w(u). What is n(p(v))?\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3018 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**9\/36288 + 5*k**8\/12096 - k**7\/378 + k**6\/108 - k**5\/20 + 10*k**2. Let q(p) be the third derivative of j(p). Factor q(s).\nAnswer: -5*(s - 2)**2*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 11*w**2 + 4. Let x be z(11). Suppose -4*g + 4 = -x. What are the prime factors of 1\/(g\/(-1))*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0*g**3 - 6 - 1 + 2*g**4 - 3*g**3. Let k(h) = -h**4 + h**3. Let w = 92 - 95. Let s(z) = w*k(z) - v(z). What is the first derivative of s(n) wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + v - 23. Let a be l(5). Suppose 12*s - a = 19*s. Let b be 6\/4*8\/(-3). Put b, -2, s, 4 in increasing order.\nAnswer: b, -2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 7. Let l be s(6). Suppose 2*v + 17 = -l. Let n = v + 12. Which is smaller: n or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 20 + 7. Let g be (-4 + 0)\/(2\/(-13)). Let u = g + -12. Solve r - n = y, -2*r + n = -0*n - u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1314.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102230332 (base 4) to base 8\nAnswer: -225476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/271048 and -5\/1626288.\nAnswer: 1626288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 5. Suppose 1 = -s - 3. Let x(h) = -3*h + 6. Let r(n) = s*x(n) - 3*m(n). Let c be r(13). Solve -2*j - j = 2*d + 17, 0 = -5*d - 5*j - c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 201\/13 (b) -2\/3 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745595.\nAnswer: 3, 5, 38791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h + 126. Let l be r(15). What is the fourth smallest value in -1\/7, 1\/4, l, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2062 + 3?\nAnswer: 2065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*y + 211*y - 79*y + 167 to the form o*y + z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 281 - 27773?\nAnswer: -27482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(4*p + 2*p + 2 - 1).\nAnswer: -6*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}