diff --git "a/data/dm_maths/full_data/1176_11255.jsonl" "b/data/dm_maths/full_data/1176_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1176_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0*f - x + 85 = -4*f, 3*x - 75 = 3*f. What is the lowest common multiple of 20 and ((-8)\/f)\/((-1)\/(-60))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 7*b - 2460. Let i be b\/3*(1 + (-2)\/(-4)). Which is bigger: i or -124?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 8*d**2 + 5*d + 9. What is the tens digit of i(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -3) + 5 + 0 + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -119*j - 244. Calculate w(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 30*a + 1. Suppose 4*d - 16 = -2*c, d = -2*c + 5*d - 8. Let x be p(c). Let s = 125 - x. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9)*(j\/j**(-1\/3)*j)\/j)\/(((j\/(j**(2\/9)*j))\/j)\/j)**(-26))**(2\/51) assuming j is positive.\nAnswer: j**(-1178\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-11)\/(-3795))\/(3\/9*1)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 4*w**2 + 2*w**2)*(68 + 75 + 9 - 53)*(6*w - 4*w - 7*w).\nAnswer: 990*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence assh when four letters picked without replacement from ssqqsaeqsahaqsaa?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = 2*g. Let i = -48\/55 + 329\/440. Which is the second smallest value? (a) i (b) g (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 10*b + 12. Let m be w(9). What are the prime factors of (9 - -1)*-1*m\/(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -11*q**8\/336 - 3*q**6\/40 - 217*q**5\/30 - q**3\/6 + 1085*q**2. What is the third derivative of k(x) wrt x?\nAnswer: -660*x**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161.8 + -189. Let m = -26.7 - g. What is the nearest to -5 in m, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -21\/5, -5, 5 in descending order.\nAnswer: 5, 2\/11, -21\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -297 + 300. Let i be (333\/(-12))\/(2\/(-16)). Suppose p*a - 9*a = -i. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 275.8 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 23 = -2*s - 21*m, 4*s - 8*s = 3*m - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.205 - -0.095. Let g = 3.6 + -4. Sort d, 20, g.\nAnswer: g, d, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/11)\/((9\/(-33))\/((-60)\/440)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9))**31 assuming y is positive.\nAnswer: y**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 11*s - 39. Let i(k) = -1. Let h(u) = -12*i(u) - 4*t(u). Find q such that h(q) = 0.\nAnswer: -3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29316 and 4886.\nAnswer: 29316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.060387 + -296.149613. What is a rounded to the nearest integer?\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20220100222 (base 3) to base 15.\nAnswer: 2a3c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*(-8)\/56*(32 - 1). Solve 0 = 4*x + q - 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 54576*t - 54578*t + 2*x, -2*t + x = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.7 and -17.\nAnswer: -181.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 - 82. Calculate the highest common divisor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 2:51 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*c**4 - 375*c**2 - 101223*c + 1 wrt c?\nAnswer: 480*c**2 - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 22 - 37) + -1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 - y**2 - y**2 + 733*y**3 - 732*y**3 = 0. What is y?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -576 and -26247.\nAnswer: -26823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 25293 - 2*n - 50600 + 25307. Let l(u) be the second derivative of u**7\/2520 - u**4\/4 + u. Let j(w) be the third derivative of l(w). What is o(j(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13))**(-45)*((q*q**(-2\/3)*q*q)\/q*q)\/(q**(2\/55)\/q) assuming q is positive.\nAnswer: q**(97069\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 3\/5, -0.1, -2\/49?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 94. Let z be s(-30). What is the second derivative of -598*n - 5*n**4 + 0*n**2 - 2*n**2 + 514*n - 11*n**z - 5*n**4 wrt n?\nAnswer: -252*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12384035 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, m: 3, b: 2}. What is prob of picking 1 t and 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/2)\/((-1)\/2). Suppose -o*q - 14 + 4 = -3*c, -q = -2*c + 6. Let g be (-171998)\/(-4) + c\/4. What is g rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, 35, -5, 2\/19, -1\/4, 95?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 1 = -t - 21*s, 2*t - 14 = 2*s. Which is the closest to 0? (a) t (b) -1\/83 (c) -3 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 17 + 17 + 1964*j - 3*j**2.\nAnswer: -j**2 + 1964*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 28.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 5*i**2\/2 - 4*i - 81. Let r be l(3). What is the highest common factor of r and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14384947 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + -10 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(2*v - 2 + 2 + (4 - 1 - 5)*(4*v - 4*v + 3*v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let a(k) = -39434497*k. What is a(o(l))?\nAnswer: 39434497*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0.535401465\nAnswer: 4.535401465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49712 and 5217056.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -15. Let u = j - -10. What is the remainder when (-1)\/u + 117\/4 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**6\/900 - y**5\/150 - y**3\/2 + 2*y. Let n(s) be the second derivative of t(s). Factor n(f).\nAnswer: 2*f*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*x**2 - 17 + 69\/4*x = 0.\nAnswer: 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(576)\/sqrt(8).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*sqrt(1331))*6.\nAnswer: -30 + 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54992, 219945, 494862, 879743?\n\"Answer: 54982*k**2 + 7*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 981 = 9644 + 2485. Is b a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.72 + -13. Let p = x + 0.18. Let o = 0.095 + p. Round o to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(273\/(-6)) - 8680\/26. Let h = k - -1593. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - (sqrt(135) + (sqrt(135) + 1*sqrt(135))*5 + sqrt(135) + sqrt(135)))\/sqrt(9))\/(sqrt(25)\/(-2*sqrt(5))*5).\nAnswer: 24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-66))\/7*(-12)\/(-4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzzppqppzepzzzppqz. Give prob of picking 1 z and 1 e.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 109 and 3161?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8064) + sqrt(8064)*-1*4 - (sqrt(8064) + 2*(sqrt(8064)*1 + sqrt(8064))))\/(-1*(3*sqrt(128) - sqrt(128))).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 37072 - 37072. Let v(j) = 135*j**2. Let p(k) = 8*k**2. Let t(q) = -35*p(q) + 2*v(q). Determine t(o(y)).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c + 1. Let u be (0*(c - 2))\/(-2). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0*k)**(6\/7)\/((k*k*k*k**(-5)*k*k)\/(k\/(k\/(k*k**1)))) assuming k is positive.\nAnswer: k**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 4*d. Let r(n) be the third derivative of 0*n - n**2 - 1\/120*n**6 + d - 1\/20*n**5 - 1\/2*n**3 + 1\/8*n**4. Give r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 88. Give x(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -177408 greater than -177268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3557585, -3557589, -3557593, -3557597, -3557601?\nAnswer: -3557605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1417 to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 8 = -2*g - 1, 0 = 3*l - 3. Let v(m) = -m**2 - 8*m + 4. Determine v(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 526, 2119, 4784, 8527, 13354?\n\"Answer: i**3 + 530*i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {k: 4, g: 1, w: 5, p: 2, s: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 52454114?\nAnswer: -52454111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 0, -i - 29 + 31 = 3*n. Which is greater: n or -1\/1233?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4461630505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 164, 541, 1108?\nAnswer: 1865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 1 (b) 0.2 (c) -29180 (d) 17 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/5 (b) 27 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91? (a) -2\/5 (b) -3 (c) 2 (d) -0.1 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1366510 - -17?\nAnswer: -1366471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (2 + sqrt(17) - sqrt(17))**2*4) + sqrt(17) + (sqrt(17) + -1)**2 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-200)\/(-16) + 2\/(-4). Suppose 7*k = 5*k + v. Let d(m) = 6*m - 6. Is 15 a factor of d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32379.5 tonnes?\nAnswer: 32379500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b - 188. Let d be j(-23). What is the remainder when (-151)\/d + (-13)\/(-52) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*j, -j = -24*b + 22*b - 15. Let g = -7 - -23. Suppose -y = -j - g. What is the highest common divisor of 231 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (380\/(-16))\/((-4)\/(12\/(-75))*730\/(-3650)).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101\/714023 or 1?\nAnswer: 101\/714023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5623 - -13279. Does 188 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47132524 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 4*h - 4*x, 67 = 2*h - 3*x + 2*x. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h**5 + 1570*h**4 + 1720*h**3 - 6400*h**2 - 6016*h + 480 = 0 for h.\nAnswer: -2, -1, 2\/27, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -32029?\nAnswer: 3202c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + -3 + sqrt(34)\/sqrt(2) + (6*(0 + sqrt(68)))**2)*-3.\nAnswer: 15*sqrt(17) + 36675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(-1045*d + 2105*d - 1697*d) in the form u*d + m and give u.\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnbnnbbn. What is prob of sequence bn?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 = -4*j, 4*u + 5*j = 11 + 45. Let w be (-2)\/(-1) + u + -7 - 32. Which is smaller: -24 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95.3 - 91. Let x = g - 4.299915. What is x rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + k = -41, -4*b - 118 = 2*k + 54. Let s be (144\/(-10))\/(9\/b). Let a be (s\/(-60))\/(6\/(-10)). Solve r + 4 = a*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*n - 693*n - 124*n = -15567 - 83986 for n.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(9\/(-6))*12. Suppose 3*s = q + 14. Let j(z) = -z**3 + 7*z**2 - 5*z - 8. Determine j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 0 - 92\/3*n - 4\/3*n**3 - 32*n**2 = 0.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*c = -1167, 4*w - 881 = w + 2*c. Suppose -17*s + w = 89. What is the greatest common divisor of 204 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7462*b - 104507. Give u(14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -64*u + 2. Let m be g(-2). Let s = 186 - m. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**18\/c*c*c**7*c assuming c is positive.\nAnswer: c**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrxrxrxrxr. Give prob of picking 3 r.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31470387 is divided by 10032.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3023 + 1119 = 5*b - h, 1124 = -3*b - 4*h. Let n = b + 387. Let x(u) = 14*u**2. Let w be x(-2). What is the greatest common factor of n and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 87914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 124*m - 72. Let q be i(42). Solve -10*g = -8*g + q for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -610, -1682, -3662, -6850, -11546, -18050, -26662?\nAnswer: -37682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 479\/9 - 53. Let h = 4.5 - 4. Let s = 0.7 - h. What is the closest to -0.2 in s, v, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10*p - 1. Let t be s(-1). Factor t*b - 2*b**2 - 3*b + 4 - 4*b**2 + 8*b**2.\nAnswer: 2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46322216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-22) - (-2384)\/(-44). What is the units digit of 9\/(54\/(-4))*k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 29*t - 27. Let s = 1 - -3. Let d(j) = 10*j + 9. Let a(k) = s*c(k) + 11*d(k). Is a(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 9*i**2 - 32*i - 52. Let q be g(12). Sort -1, 608, q in decreasing order.\nAnswer: 608, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/70*635\/(-254).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009611 to five decimal places.\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 598?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 0.4. Let d = -4.1 + f. Let r = d + 4.95. Which is smaller: -1\/2 or r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z, -4*b + 42324 = -0*b + 20*z - 16*z. Is b a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23647\/7 - 3378. Let j(v) = v**2 + 5*v - 2. Let r be j(-5). What is the closest to 1 in r, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6 - 35 - 2*o**2 + 39*o - 8*o - 10*o - 7*o. Calculate f(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-140)\/(-12)) + 27\/(-20)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -x - 13, -5*y - 4*x + 171 = 139. Let u = -1 + 1.06. Let s be 3\/(-2)*4\/9. Put y, s, u in descending order.\nAnswer: y, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 2:32 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 11) in base 13?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 + s**2 - 5*s + 9. What are the prime factors of k(4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 43. Let l = 33.999825 - b. Round l to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22676*k**3*m*t**2 + 2*k**2*m*t**2 - 344*k**2*m - 7*t**2 wrt k.\nAnswer: -136056*m*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 5*f - 21. Let z be n(3). Solve -8*v**z - 4*v**4 + 395 + 4*v**2 - 395 + 8*v = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b - 331 + 172 = 341, f + 17 = -0*f + 4*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8 - 3*v - 16 + 0*v + v. Calculate the remainder when 29 is divided by n(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6793210 = z - 1373222, -2*z - 3*n - 10839991 = 0. Round z to the nearest one hundred thousand.\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 350 + 1111. What are the prime factors of j?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 2*t + 1. Let l be y(2). Let i be 16\/10 - 3\/l. Suppose 0 = o - i. What is the smallest common multiple of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-13 - -1))\/(-2). Suppose g - 3 = v. Suppose v*j - 55 = 123. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 11*v**2 - 12*v + 11. Let y be (-304)\/(-30) - 26\/195. What is x(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvvvvx. What is prob of picking 3 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 divided by 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i + 105*i**4 - 4*i - 2*i**3 - 11*i**2 - 103*i**4 - 6*i**2 + 0*i**3 as d*i**4 + v*i + m*i**2 + l + o*i**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (52\/70)\/((-13)\/(-65)). Let x be 9\/(-12) + 2937\/220 + -13. Which is the third biggest value? (a) 5 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 67480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g + g**3 + 2*g**2 + 75*g - g to the form d*g**2 + r*g + j + p*g**3 and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*n**2 - n**4 + n**2 - 12*n**3 + 5 + 8*n**3 as m*n**4 + v*n + j*n**2 + i + b*n**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2014?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.321 + 0.021. What is the closest to 0 in g, -0.5, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**3*o**4 + f**3*o**2 + f**3*o + 6*f**3 - 9598*f*o**4 - 48876*f*o + 10*o**3 wrt o?\nAnswer: 72*f**3*o - 230352*f*o + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.333 + 0.033. Let i = -1.1 - -1.6. Let j = -0.1 + 0.1. Sort d, j, i.\nAnswer: d, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 23 - 23. Let b(i) = -88*i. Let s(y) = -3*y. Let u(a) = -3*b(a) + 84*s(a). What is u(l(n))?\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4249 - -4242. Let g be 5 + -2 - (-10)\/10. Sort u, g, 6 in increasing order.\nAnswer: u, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/4011 and -143\/1146.\nAnswer: 8022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 51\/510*(-1890)\/(-8). Do h and 25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - 0)*-1*1120\/(-3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(-777)\/2 - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 12 = 0, 2*y - y - 59 = -3*f. Let w = f - 10. What is the highest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r - 50*r = -528. Calculate the greatest common factor of 671 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.9011383 + 0.681159. Let m = -88.22 - -84. Let h = c - m. Round h to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -588.9977 - 0.0023. Let s = 589.1 + d. Let g be 82\/6*(-1 - -4). Is s not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*a**2\/6 + 239*a\/3 + 20 = 0. Calculate a.\nAnswer: -12\/49, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*l + 2*n, -21*l + 20*l = -2*n - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 6*r**2 + 4*r + 7. Let f(a) = 3*a - 4. Suppose -c + 6 = d, 5*c + 3 = 4*d + 2*c. Let b be f(d). List the prime factors of g(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/10 + 1)\/((-8)\/(-480)). Suppose -3*p = -78 - y. Solve -3*m = -3*k - 2*m - 10, 5*k + 5*m = -p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15304 (base 15) in base 14?\nAnswer: 1abbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17386.\nAnswer: 2, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 2. Let w(h) = -h - 2. Suppose 6 = -2*s - 3*j, -4*s - 1 = -j - 17. Let r(d) = s*w(d) - 2*z(d). What is r(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5 + 25017757*b**4 - 3*b**3 + 784315*b**2 - 2*b + 34 wrt b.\nAnswer: -60*b**2 + 600426168*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*n - 296 - 100 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1212459\/33 + 8\/(-44). Let c = y - 21741. Suppose -4*g = -3*g + c. What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 25 + 0*k + 2*k - 18.\nAnswer: 2*k - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1\/(-27))\/((-2)\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 68*x**2 - 896*x + 156 = 0.\nAnswer: 3\/17, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1224 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 3*p = 3*b - 23, 1125783*b = 1125778*b - 20 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1904166\nAnswer: -1\/1904166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**3 + 2*b**2 - 2*b**2)*(-55 + 281 + 268 - 49) as q*b**3 + s*b**2 + o*b + y and give q.\nAnswer: 890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 380*o**2 + 85*o - 11. Determine d(-1).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 33*h**2 - 7*h - 82. Give r(15).\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000049879 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433676 is divided by 1428.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Suppose -4*l + 348 = 4*c, -3*c + 3*l + 237 = -2*l. Suppose -c = -x*n - 27. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 258838.8457561521 - -2.1543038479. Let k = r - 258852. Let q = 11 + k. What is q rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**5\/20 - 7*t**4\/12 - 3*t**3\/2 - 3*t**2 + t + 19. Let b be q(-2). Let m(y) = -3*y - 19. Give m(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 + 0.1. Let t = -4.6 + x. Let l = t + -0.8. What is the smallest value in l, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 86909628\nAnswer: -86909619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 407\/4 - 2963\/28. Find the common denominator of 19\/14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b + 12. Is b\/(-7) + (-141)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**4\/12 + 3*z**2\/2 + 2*z - 2. Let v(n) be the first derivative of d(n). Differentiate v(l) wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -547 - -135. Let c = -412.01855 - q. Round c to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 8*b = -a + 372, -5*b = 5. What is the remainder when a is divided by 57?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1. Let h(w) = -4*w**3 - 3. Determine h(s) + 3*r(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -9*b**6\/40 - 3*b**5\/10 + b**4\/2 + 5*b**3\/3 - 7*b**2\/2 - 91*b + 2. Let l(a) be the second derivative of z(a). Factor l(g).\nAnswer: -3*(3*g + 2)*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2484 rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 8 = 4*q, 4*q + 8 = 2*p + p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41052530 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/3 - 10*q\/3 + 7 = 0. Calculate q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 0*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7854.\nAnswer: 2, 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.229 (b) -2\/15 (c) 88\/149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*s - 90 - 785 - 90*s - 92*s + 271*s.\nAnswer: s - 875","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b - -1652?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/544 and 11\/102?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/8 + n**2. Let m(y) be the second derivative of -y**4\/12 + 3*y - 38. What is m(w(h))?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(605) + 2)*6.\nAnswer: -6 + 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1126441731 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7431 = 370*n - 35*n - 7644 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1610635 and -0.1.\nAnswer: 1610634.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-498)\/54 - -11 - 21022\/414\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -63606, -61691, -59776?\n\"Answer: 1915*j - 65521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91*5\/(-35) + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1865 = -12*f + 1817 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((294525\/204)\/(-165))\/(15\/(-8))*6\/4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 186742 equal to 186743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18142101 divided by -6047367\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268339550.\nAnswer: 2, 5, 5366791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 10*y - 13*y + 3*y + 6*y**2 + 0*y. Let h(l) = 48*l - 2*l**2 - 48*l. Calculate h(t(n)).\nAnswer: -72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - -18. Let n = 46 - b. Solve 10 = -x - 3*x + 2*k, 5*x - n*k + 12 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(102) - sqrt(102)*-1)\/sqrt(6).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684171801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzpzzzzzzzzz. Give prob of sequence zzz.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 20. Let t be q(6). Let k = -30 + t. Let j(h) = 2*h**3 + 2*h - 1. What is the remainder when j(k) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36205990 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14014 - -25283. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376463 divided by 4?\nAnswer: 376463\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -107*s + 10909. Give n(102).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4125 - 3883. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/7)\/(m*m**16\/m*m)*m**(-9)*m**18 assuming m is positive.\nAnswer: m**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1045 by -209.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d**3 - 10557*d**2 + 3969*d + 11876. Calculate r(-1320).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 913*z**2 - 3777*z + 1175. What is the first derivative of l(g) wrt g?\nAnswer: 1826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*b**4*l**3 - 14192*b**3*g*l**2 - b**2*g*l**3 + 3*b**2*g + b**2*l**3 + 492*b**2*l**2 + 35*l wrt b.\nAnswer: -1008*b*l**3 - 85152*g*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100560 (base 10) to base 11.\nAnswer: -69609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45546 - 0?\nAnswer: 45546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 32 + 22 = -2*u, 0 = -y - 5*u + 30. What is the remainder when 97 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -61415 (b) 5 (c) 0.08 (d) 2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 9*n**5\/10 + 29*n**4\/8 + 11*n**3\/2 + 15*n**2\/4 + n + 19. Find i such that m(i) = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgqg when four letters picked without replacement from {g: 3, t: 2, q: 5, p: 7}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 0*q - 20. Let a = 5 + q. Put 1, a, -5 in increasing order.\nAnswer: -5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 9. Let s be c(-9). Suppose 2*g - 68 - 14 = s. Suppose -3*d - 5 = -g. Which is smaller: d or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 (base 16) in base 15?\nAnswer: 28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 9 + -11 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109438141?\nAnswer: 29, 193, 19553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1290088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3681 is divided by 194?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -79*r**3 + 16*r**2 - 10*r + 1. Let z(n) = -26*n**3 + 5*n**2 - 3*n. Give -2*k(b) + 7*z(b).\nAnswer: -24*b**3 + 3*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:28 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 41 = -5*s. Let y = 1 + -1.4. Suppose -5*i + 18 = 2*p, -i = -3*i + p. Which is the closest to i? (a) 0.4 (b) s (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32353404*a - 52104032 wrt a?\nAnswer: -32353404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.05 + -0.05. Which is the closest to 1? (a) -2\/9 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**4 - x**4 - 7*x - 3*x**4 + (-2 + 2 - 2)*(0*x**4 + 0*x**4 + x**4) + 2*x - 2*x + x**4.\nAnswer: 2*x**4 - 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 213*g - 209*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b - 1. Let h be l(2). Suppose 10*s = -11*s + 63. Suppose -s*u + h*u + 6 = 0. Let j(o) = -2*o**2 - 3*o + 3. Calculate j(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19\/5503 + 271655291\/88048. Let s = -3084 + o. Find the common denominator of 47\/8 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26920928 and 4828?\nAnswer: 26920928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 257*p**2 - 627*p + 95194. Give i(258).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1311156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o + 85*o + 211*o.\nAnswer: 304*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128))**2 - (sqrt(2) + 2*sqrt(2))*3.\nAnswer: -9*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8\/q**(9\/4))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-2)\/1)*10. Solve 4*l - 5*w = -2 - 4, -a*l - 24 = 2*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 203\/74?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + o**2. Let s be y(1). Suppose 2 = -s*k + 8. Find the third derivative of -h**2 - 3*h**5 - 3*h**2 + 3*h**k wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/19))**(-3\/5))**11 assuming h is positive.\nAnswer: h**(-132\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2986992.\nAnswer: 2, 3, 20743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5053180 is divided by 1030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326514, 326508, 326502, 326496, 326490, 326484?\nAnswer: 326478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z - 10*z + 23*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*c**2 - 48*a**2*c*w**3 - 3*a*c**2*w**2 + a*w**2 - 5*w**3 wrt a.\nAnswer: 2*c**2 - 96*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c - 35, 4*c + 0*c + 170 = 3*z. What is the smallest common multiple of 130 and z?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -68*p + 112 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 8:50 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*h + 147*h - 200 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201202 (base 3) in base 10?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/1)\/((28\/(-63))\/((-984)\/(-108))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v - 5. Let f be a(-2). Suppose -84 = -5*t + f*d + 26, -18 = -t - 3*d. What is the highest common divisor of t and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(-11 + 92\/8). Factor 0 - 1\/4*f**2 + 1\/4*f**4 + q*f - 1\/4*f**3.\nAnswer: f*(f - 1)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 3*q - 4. Let d(p) = -1 - 7 - 2 + 11*p - p**2. Calculate the remainder when m(-3) is divided by d(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650707403 a multiple of 5041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12513, -25025, -37537?\n\"Answer: -12512*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-2))\/(82 + -84). Suppose x = 6*u - 0 - 0. Solve -5*h - 18 + 8 = u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 389*r**2 + 34*r - 187. Let y(u) = 156*u**2 + 14*u - 77. Give 5*m(i) - 12*y(i).\nAnswer: 73*i**2 + 2*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/2 - 3*5\/(-15). Suppose n = -i + 401 + 167. Does 35 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16550, 33102, 49654, 66206, 82758?\nAnswer: 99310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2547 (base 9) to base 6.\nAnswer: 12454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/(-10) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-54)*4\/(-22)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -16 + 66\/2 - 15. Solve -g - i = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - g. Suppose 5*p + 1 = -4. Calculate a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*k**3 + k - 26*k - 3*k**4 - 12 - 45 + 18 - 13*k wrt k?\nAnswer: -36*k**2 + 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29374*x**3 - 14685*x**3 - 14686*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 + (-390)\/(-40))*(-4)\/(-14). What is the third smallest value in 1\/5, 4\/9, x, 24?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -6.1. What is the third smallest value in o, -3, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191, 365, 527, 671, 791, 881, 935, 947?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 3. Calculate z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d - 71*d = 0. Suppose d = 16*q + 70 - 326. Let p be (-4)\/(-10) - 16\/(-10). What is the highest common factor of p and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506 - 269 - 743 + 506 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 541665.801 and -19.\nAnswer: 541646.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 29 = -24. Let k be ((-17)\/(-5))\/((-21)\/z + -4). Calculate the remainder when k - (1 + 2*3\/(-6)) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/19*3\/(-6)*31.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -448 + 595 - (32 + -9)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 4*s**2 - 4*s**2)*(0*s - 5*s + 4*s) + s**2 - s**2 - s**3 - s - 2*s**3 + s + (s + 2*s - s)*(s**2 - 5*s**2 + 2*s**2) - 1 + 2*s**3 + 1.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-31))\/(z**(8\/13)\/z))\/(((z\/(z*z**(-14)))\/z)\/(z**22*z)))**(-47) assuming z is positive.\nAnswer: z**(-25897\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 1\/20*y**5 - 1\/60*y**4 + 0*y**2 + 0 + 0*y**3 + 6*y + 1\/70*y**7 - 7\/150*y**6. Factor n(r).\nAnswer: r**2*(r - 1)**2*(3*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 112 = -3*t - 64, 4*p = -5*t - 732. Let m = -8 - -12. Is 3 - p\/m - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9309501 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14*x**2 + 2*x - 2. What is the tens digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 90*z + 24. Let p(n) = 98*n + 26. Let i(k) = 13*h(k) - 12*p(k). Let s(f) = 17*f. Calculate s(i(w)).\nAnswer: -102*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 23*a - 167. Let k(u) = -22*u + 150. Let n(p) = -9*h(p) - 10*k(p). Give n(8).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ege when three letters picked without replacement from {e: 11, g: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4457 - 4559 - (1 + -75)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 7 = 19. Solve -3*s + 2*z = -3, 0 = -s - 4*s - x*z - 14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-222)\/74*10\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 0.4 (c) 231 (d) 0.2 (e) -0.1 (f) -274\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**5\/3 - 6056*c**4\/3 - 269284*c**3\/3 - 1076632*c**2 - 1892058*c - 903168 = 0. What is c?\nAnswer: -21, -1, 3072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1765 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 58309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(14\/3))\/(n\/(n*n**(-2\/45))) assuming n is positive.\nAnswer: n**(-167\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3810.5 - 3811. Which is the closest to -6? (a) 2\/15 (b) 89 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -8. Let o = 21 - m. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 16 = -b. Suppose 50 = 2*z - m - 7, 0 = -z - b*m + 36. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 853\/3 in 15, -2, -6, -5, -0.3, -3\/2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, -4, -2\/17, -0.1129, 0, 3, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69105 and 125?\nAnswer: 1727625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198 - -62. Let q = 213 + t. Suppose -3*j - 29 = -q. Calculate the smallest common multiple of 6 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -457 divided by 19861.\nAnswer: -457\/19861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jufljjlllljljl. What is prob of picking 1 j and 1 l?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/3353 and -13\/154.\nAnswer: 73766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 660 by -55.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 741989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 8:57 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 52*i - i**2 - 101*i + 53*i)*(i + 0*i + i) in the form x + s*i**2 + p*i**3 + r*i and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31.58717 kilograms?\nAnswer: 31587170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -14. Suppose -h = -3*m - 9. Let z(x) = x**3 + x - 1. Let q be z(m). Which is the second smallest value? (a) q (b) 0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*t - 110*t = 3060 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1 - 0)\/5)\/1. Let m = 167 - 165. Let x = -8 - -12. Which is the second biggest value? (a) m (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112436 (base 10) to base 7\nAnswer: 645542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/17))\/r)\/r)**(-31)\/(r**2\/r*r*r*r**(3\/35)\/r*r) assuming r is positive.\nAnswer: r**(18779\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a millennium?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795490631?\nAnswer: 3, 11, 2015141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -540769443\/6943 - -77887. Let v = 277702\/62487 - s. Let p = -2\/945 - 424\/135. Calculate the common denominator of v and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*h + 28 = 148*h - 4*b, 2*b - 16 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 742.2466 milligrams?\nAnswer: 742246600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 0*y**2 + 5*y + 1\/357*y**7 - 1\/255*y**6 + 0 + 0*y**4 - 1\/85*y**5 + 0*y**3. Factor j(b).\nAnswer: 2*b**3*(b - 2)*(b + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 602070?\nAnswer: -1\/120414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 279, 561, 843, 1125, 1407, 1689?\n\"Answer: 282*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1272720 and 90.\nAnswer: 3818160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 3*m**2 + 3*m + 4. Let g be z(-3). Let v be g + 6 + (1 - -1). Solve 4 + 2 = -v*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10942964 and 4102.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1876 = -43*q + 38*q + 2*a, q = -3*a + 382. What is the least common multiple of q and 470?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/9 - 1)*-3. Let s be 3\/h - 5\/(-10). Is 9 a factor of 34*(0 - (-1)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -492772.7088 to the nearest 1000.\nAnswer: -493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -32794 less than or equal to -436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2. Let q(d) = -5*d**2 - 6*d + 6. Let k(z) = 4*z + 5*z - 1 + z**2 - 8*z. Suppose 2*n - 11 = 1. Let m(b) = n*k(b) + q(b). Determine x(m(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x - 30. What is the units digit of 44*(-5)\/x - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 161140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-2*b + 2 - 2)*(-257 + 118 + 122).\nAnswer: -34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 25. Let d be 88\/9 + 2\/s. Let l = d + -6. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918470089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 10*g**2 + 2*g - 14. Does 3 divide k(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4647 or -1?\nAnswer: -4647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (sqrt(77) - ((sqrt(77) - -3*((sqrt(77)*-1 - sqrt(77)) + sqrt(77))) + sqrt(77)))\/sqrt(11) + 0).\nAnswer: -4*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b. Let h(t) be the second derivative of 0 + 0*t**3 - 1\/3*t**4 + 0*t**2 + 13*t. Determine n(h(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8381279806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5370*a + 5409*a - 117 = 0. Solve 4*q + 5 = -a*n, -40 = -3*n - 2*q - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-375)\/2025*27 + (450\/22)\/3)?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 + 78.03. Let p = o - 1.13. What is the nearest to 0 in p, -5, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24552 and 1182324.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 5*i**2 + 9*i - 10. Let o be u(-7). Suppose 0*t - o = 5*t, 5*f - 165 = -3*t. 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: List the prime factors of 44766681.\nAnswer: 3, 14922227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1252 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2145 - -4?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -183*o - 5. Give l(-1).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 5:15 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1603.000745 + 1603. Round a to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 58. Suppose 2*u + 22 = -3*t, 0 = -5*t - 5*u - 35 - z. Is -3*(t - 100\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/(28\/20). Let o be -3 + 2 + 16\/14. Which is the nearest to o? (a) -3 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**5\/12 + h**4\/6 - h**3\/3 + 22*h**2. Let a(g) = -2*g - 6*g**2 + 2 + 2*g**2 - g. Calculate -4*a(o) - 3*w(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2\/4 - 1386*n + 640332 = 0. Calculate n.\nAnswer: 924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 7, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/(-10) - (-34)\/(-30) - 44\/(-330). Let g(j) = 3*j**2 + 7*j + 2. What is g(l)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-15)*3*-1. Let h = -5 - 0. Let m = 0.7 + 0.3. What is the closest to m in w, -2\/9, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11627 - 11611. Let o(y) = y**3 - 16*y**2 + 3*y - 26. What is o(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -73171679 to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 48. Solve -a - a = -g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 41\/6 + 4\/24. Suppose -g = -4*l + 19, -l + 0*g - 2*g = -u. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66575656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g = -17*g - 24. Calculate the greatest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 3, t: 4, a: 2}. Give prob of sequence maa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 829*d - 19142. Give p(24).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, p: 1, z: 1, n: 1, q: 2}. What is prob of picking 1 n and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(3\/3)*19\/(-4940)*-65?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -17, -3, -23 in descending order.\nAnswer: 53, -3, -17, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsfssfsfsfffffsssss. Give prob of sequence fs.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 11:16 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16421315 divided by -5.\nAnswer: -3284263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from ppppppppapppppppppp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 14*u - 29. Let r be n(16). Solve 0 = 4*q + 3*k + 3, q + 2*k = 1 - r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**2*v + 3134*j*v - 58387*v wrt j?\nAnswer: -2*j*v + 3134*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 1, s: 1, u: 2}. Give prob of sequence uup.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 6*t**2 - 2*t - 9. Suppose 4*f - 32 = 4*i, 2*i + 4*f = -0*f - 4. Let m be v(i). Solve 18*j**3 - 6*j**m + 8*j + 5*j + 16*j**2 - 9*j = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 28 = 4*p - 226, -2*p + 7249 = a + 7227 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 78 = 2*d. Suppose 5*t - 2 = 7*t, 23 = n + 3*t. Calculate the greatest common factor of d and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 12 = 0, r - f = -6*f + 18. Solve -6 - 9 = r*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22703990.\nAnswer: 2, 5, 23, 98713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 353 in increasing order.\nAnswer: -9, 5, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 168379800 rounded to the nearest one million?\nAnswer: 168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 134698 divided by 4?\nAnswer: 67349\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -155?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-1\/8)*y)*y\/(y\/y**3)*(y*y**(12\/5)*y)**(-2) assuming y is positive.\nAnswer: y**(-227\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 27 = 4*c + 13, 13 = 2*x - c. Suppose -x*v = f - 1, 2*f = -0*f + 2*v + 12. Calculate the highest common factor of f and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqq when three letters picked without replacement from aaqaq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/81 and -24\/5.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2045 + 3760. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:17 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14880 bigger than -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Suppose 6 = 4*o - 6, -2*o + 1 = b. Put 0, i, b in descending order.\nAnswer: 0, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -114242*v**5\/5 + 915848*v**4\/5 - 1957418*v**3\/5 + 1174988*v**2\/5 - 19256*v\/5 + 16 = 0. What is v?\nAnswer: 2\/239, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 271693 + 1?\nAnswer: 271694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980\/(-6)*36\/(-24)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(5\/6)\/t*t))\/t**(-1\/4)*(t*t**(-2\/5))**(-47) assuming t is positive.\nAnswer: t**(-1667\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -702?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/(2\/416). Let d = 391 - 202. Let a = d - l. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/19)\/b)\/(b\/((b**15\/b)\/b*b*b)))\/(b*((b**(-5)\/b)\/b)\/b)**(1\/5) assuming b is positive.\nAnswer: b**(1363\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - 3992a?\nAnswer: -3993c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/17)\/u)\/(u\/u**(1\/2))*(u**1)**(-6) assuming u is positive.\nAnswer: u**(-251\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/39, -1, 4, 2\/3 in descending order.\nAnswer: 4, 2\/3, -5\/39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(30\/(-3)) - (-2106)\/(-14580).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/141420 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.14 + 0.04. Suppose -16 - 2 = 2*m. Let w be (-18)\/(-99) + m\/(-11). What is the nearest to z in 5\/3, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26411 at most as big as 26411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 4*x**2 + x + 5. Let o be 2\/(-3)*(-36)\/(-3). Let w be 2\/o - (-34)\/8. What is n(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufufbhxkuxuuxfxbbxu. Give prob of sequence hxu.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 11469969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 1, v: 13, t: 5}. Give prob of sequence stv.\nAnswer: 13\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133881*y**4 - y**2 - 646 wrt y.\nAnswer: 3213144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6712594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32447388881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 353 and 354 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2*y - 2. Let i be c(2). What is the common denominator of i - (-4)\/(160\/(-235)) and 113\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.72866 decades in centuries?\nAnswer: 2.772866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 17.8. What is the nearest to -0.1 in s, 0.5, 0.3, 1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 2 - (16 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 609324 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59558437 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 23*c + 78. Let h be g(-26). Let w(p) = -p**3 - 2*p**2 + p - 102. Let i be w(h). Is -102 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36256 + 36240.1645. Let r = x + 15.8. What is r rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50631108 - 5*v**2 + 50631108.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.64 + 24.62. Sort r, -1\/10, 4, 39 in decreasing order.\nAnswer: 39, 4, r, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20.729 + -0.221. Let l = z - -21. Let j = -0.07 + l. What is j rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/2 (b) 66 (c) -1 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 5*j**2 + 3*j - 3. Let a be y(-4). Let c be 2 - a\/((-2)\/4). Let o = -25 - -37. Solve -c*v = -o + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -14, -60, -146, -284?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 - -113. Suppose -y = -2*r - 39. Calculate the greatest common divisor of 24 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-1)\/1)\/((-8)\/4). Suppose 5*h + 4*v - 83 = 72, h - 17 = 2*v. Suppose -l = z - 3*l - h, -5*z = -3*l - 107. Solve i = 4*m - 1 - z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 15 - 3)*(-4 + 4 + 2*i)*(0 + 2 - 1).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 717, 1258, 2131, 3336?\nAnswer: 4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-146 + 106 + 85)*(l - 2 + 2)*(l - 6*l + 2*l)*(-5*l**2 + l**2 + l**2).\nAnswer: 405*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 70 = w - 6*w, -2*m - 37 = -3*w. Let x = w - -3. Suppose l = -2*l - x. Sort l, 2, 5.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38214 is divided by 222?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 20. Let b be (-3)\/18 - (-5)\/q. Factor 0*j + 0*j**4 + 0*j**2 + 1\/2*j**5 + b - 1\/2*j**3.\nAnswer: j**3*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -27\/5 (b) 3 (c) -2.9 (d) -3 (e) -7\/26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3662 and -8.06.\nAnswer: -2.951572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4 - 4 + i. Let u(w) be the second derivative of -1\/2*w**4 + 0*w**2 + 0*w**3 + 0 + 51*w. Calculate d(u(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -808*w - 26235. Give s(-31).\nAnswer: -1187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n. Let g be b(0). Suppose g = s - 400 + 41. Let m = s + -3. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 12 - 8)*(f - 2 + 2) in the form i*f + t and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 3*n + 3. Let t = 0 + 3. Let c = 0 - t. List the prime factors of s(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 135, 159, 131, 33?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from wfrfoorrgrxrrgr?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707*l**2 + 467*l**2 - 2576*l**2 + 702*l**2 + 702*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h = -45*h + 2*t - 27, 0 = -4*h - 4*t - 44 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78)*-2*6 + 6*-2*sqrt(78))\/((-4*(sqrt(60) + sqrt(120)\/sqrt(2)))\/sqrt(10)).\nAnswer: 23*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/((p*(p\/((p*p*(p*p**(-2)*p)\/p)\/p*p*p))\/p)\/p*p)*p)\/p))**(3\/8)\/((p*p**(-2\/13))\/(p*p**(-5\/3))) assuming p is positive.\nAnswer: p**(-589\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drdrrrdgrrprddd. What is prob of picking 1 p, 2 r, and 1 d?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 9. Let u be o(-8). Let f(z) = -43*z + 1. List the prime factors of f(u).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - u - 6. Let x be (0 + (4 - -1))\/1. Determine j(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 15*o**2. Let u(r) = -1. Let p(q) = q - 9. Let t(n) = -2*p(n) + 18*u(n). Determine t(g(s)).\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10602, -0.1, 4?\nAnswer: 10602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(204)*5 + (sqrt(204)*-1 - sqrt(204))*5)\/(sqrt(60)\/(-1*sqrt(10)\/sqrt(2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**5\/2 - 14535*n**4\/2 - 333929*n**3\/2 - 2220741*n**2\/2 - 2938869*n - 2742768 = 0. Calculate n.\nAnswer: -14512, -14, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 18 = 5*h, 2 = h + 5*t - 10. Let 28*f**h + 1 - 1 + f + f**3 - 30*f**2 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-1)\/8)\/((-56)\/(-2464))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (3 - -1) - -1. What is the tens digit of 2 + j + (-2 - -1) + 202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**2 - 2*x + 1. Let b(u) = 10*u - 11. Suppose -324*i + 327*i - 18 = -3*z, 5*z = 20. Determine i*b(w) - 11*r(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 354\/((-1740)\/175 + 10) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/81)\/1*(-9 + 6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -30, -31, -32, -33, -34?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5969 and 5541010?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -536 + 537. Solve n - l = -r + 3, 3*r + 2*n = 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 9*y - 20*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/8, 0.02, 6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 6920538.\nAnswer: 1\/3460269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(243)*-1 + sqrt(243) - sqrt(243)) + -2)**2*6 - 4*(-3*(-1*sqrt(243) + 5))**2.\nAnswer: -5202 + 3888*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 5 + y - 10. Suppose 14 = 3*t - 25. Calculate the remainder when t is divided by n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-476)*(-8)\/(-9)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3864 by 552.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + i. Let y be t(2). Suppose -3*n - 12 = -u, 0 = -u - 0*u + n + y. Let w be (1 - -1) + 1 + -2. Sort w, -5, u in ascending order.\nAnswer: -5, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7360110 (base 10) in base 12?\nAnswer: 256b3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 + 903. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(4\/(-2) + 0). Let o(c) = -11*c**2 - 3*c. Let u be o(7). Let h be (u - 0)\/(4\/1200*l). Round h to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -798, -1596, -2394, -3192, -3990?\n\"Answer: -798*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23115838283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 15b814?\nAnswer: 15b812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*y = 39, 0 = u - 6*u - y + 78. Suppose 4*v + 0*v + 4*h - 4 = 0, 0 = 4*v + 5*h. What is the highest common divisor of u and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 33*z - 86, -19*i - 3*z - 56 = -35*i + 11*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) 16 (d) -1262 (e) -3\/4 (f) -2\/7 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 14 + 0 = 0. Let u be (475 - -1)\/f - (1 + -1). What is u rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6824147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -7*f**6\/60 - f**5\/5 + 5*f**4\/4 - 2*f**3\/3 - 52*f**2 - 5*f. Suppose d(q) = 0. What is q?\nAnswer: -2, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k + 0*k)*(2*k**2 - 13*k**2 - k**2 - 18*k**2).\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7755 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 102*b**3 - 606*b**2 - 590*b + 6600.\nAnswer: -2*(b - 44)*(b - 5)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 times -0.326?\nAnswer: -249.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*u - 4*t - 59, 2*u = -3*t - 41. Let w = u - -151. List the prime factors of w.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/32*(1 + -5). Let s(b) = -6*b**2 - b. Let f be s(-1). Does 3 divide z + (0 - (f - -3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {n: 3, v: 1, s: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1*b**(2\/17))\/(b\/((b\/((b\/b**(-2\/7)*b)\/b))\/b)*b\/(b*b*b**(2\/29)\/b*b)) assuming b is positive.\nAnswer: b**(-3793\/3451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52\/5 of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h - 196. Let b be o(25). Determine i, given that -4\/3 - i**5 - 3*i**3 + 11\/3*i**b - 7\/3*i**2 + 4*i = 0.\nAnswer: -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let j = 16 - 13. Is j at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 (base 9) in base 3?\nAnswer: -22100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9516 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s + 74*s**2 - 131*s**3 + 134*s**3 + 0*s.\nAnswer: 3*s**3 + 74*s**2 - 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6541 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 47*r - r**3 - 19 + 4 + 13 + (0*r + r**3 + 0*r)*(-3 - 5 + 1) + 0 - 3*r**3 + 0 - r**3 + r - r.\nAnswer: -12*r**3 + 47*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 2*w + 17, -5*u = 4*w - 45 + 74 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -661*g**2 - 4 + 1149*g + 5 + 1426*g**2 - 2 wrt g?\nAnswer: 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -22*w - 104. Let s be y(-6). Calculate the greatest common factor of 70 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-1 - 15\/(-25)). What is the nearest to -2 in -1, 3, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 763552617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -10. Let r(z) be the second derivative of 1\/3*z**3 + z + 0 + h*z**2. Let j(y) = -y**2. Determine j(r(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*o - 132 = -6*g, -5*o = 2*g - 59. Suppose 2*u - u = -g. Let k = 10 - u. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6094069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2. Suppose -777*a + 785*a = 24. Let v(d) be the second derivative of 0 + 1\/3*d**a + 0*d**2 - 7*d. Give c(v(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -o - o - 8, 5*o + 8 = 4*a. Solve -3*g - 6 = 0, -3*s - 3*g - 12 = -o*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s**2 - 79*s + 125. Calculate l(5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1 = -4. Let b = 21 - -10. Calculate the remainder when b is divided by (22\/(-4))\/(m\/2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**3*m\/((m**(-3\/7)\/m)\/m)*m**8*m**1 assuming m is positive.\nAnswer: m**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 0 + 1 - (11395 - 11388)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-27)\/21) + (-423)\/(-63). Suppose -u*k - 1388 = -3390. What is the greatest common divisor of k and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.2508103 to one decimal place.\nAnswer: -68.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4600 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u + 22. Give v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3038 + 2843 = 0, 0 = 3*a - 7*v + 258 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14949 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 11*k - 20 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -2*m - 61 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s - 61. Let p be y(9). Suppose p*b - 1109 = 112. Is b a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70595, -70596, -70597, -70598, -70599?\n\"Answer: -i - 70594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13376764 is divided by 2675352.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i**2 + 0*i)*(-2*i + 3*i - 2*i) + (-704*i - 6 + 5 + 745*i)*(8*i - 8*i - 2*i**2).\nAnswer: -79*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 10122.\nAnswer: 20244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 730448 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -2*y**7\/105 + 51*y**5\/5 + 162*y**4 + 1080*y**3 + 2144*y**2 + 2. Factor k(n).\nAnswer: -4*(n - 15)*(n + 3)*(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 45*g + 19*g as j*g + y and give j.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.12 and -50510.\nAnswer: -50508.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1537778953 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 732 - 717. Solve u = -f + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062163379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((((k\/(k**0*k)*k)\/k*k)\/k*k)\/k*k))\/k**(-7\/2))\/(k**(2\/11)*k**(-1\/4)) assuming k is positive.\nAnswer: k**(157\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 25*w**2 - 84*w + 5. Let s be h(-21). Solve -s - 25 = -10*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((72\/(-20))\/3))\/(226\/(-339))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/11 (b) 2 (c) 12026 (d) -2 (e) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*d = -46*d + 2658 - 13518 - 5188 for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13972 is divided by 325?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(((-2)\/4)\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 11:26 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9058 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3143 is divided by 416.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -1 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 7912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -203*l. Let m(t) = 7*t. What is m(p(b))?\nAnswer: -1421*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*b = -1, -17*s + 14*s - b = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:08 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:07 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 q, and 1 a when four letters picked without replacement from qqlaak?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*m - 5. Let d = -1\/2829 + -100895\/16974. Find the common denominator of 33\/(-22) - (-53)\/m and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - (-2154)\/15. Suppose 5*k = -59 + s. Suppose 128 - k = 3*y. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 254.\nAnswer: 14478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26, 33, 0, 0.3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503571 (base 12) to base 5.\nAnswer: 310001044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/6 - 13\/6. List the prime factors of 37468\/170*(g - 9\/(-2)).\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11541 + 1851 = -19*x. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -81. Which is the nearest to -2? (a) 5 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30102800 a multiple of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*k*v**2 - 2*b*p**2*v + 3*b*p*v**3 + 5*k**2*p**2*v - 13*k**2*p*v**3 - k*p**2*v**3 + k*p**2*v**2 + 6*p*v**2 wrt v?\nAnswer: 18*b*p - 78*k**2*p - 6*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1645 and 245?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3550361301 + 5?\nAnswer: -3550361263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2371931*y**3 - 2371947*y**3 + 4743877*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t + 77. Let j be l(-13). Let u be (4\/(-6))\/(j\/(-180)). Solve -u*v + 9 = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*c*j*m**2 + 12*c*m**2 - c*m + 11*c - 29339*j*m**2 - 5*j*m - 2*m**2 + 3*m + 16 wrt j?\nAnswer: -5*c*m**2 - 29339*m**2 - 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6727062ml?\nAnswer: 0.0006727062","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -622 + 620. Let m(w) = -w - 1. Let j(c) = c**2 - 1. Determine r*m(o) + 4*j(o).\nAnswer: 4*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 85 = -4*u - u, 4*v = 0. Suppose 5*w = u + 8. Solve c = 6*c + w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24612 - 25369. Which is smaller: -9840\/13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 9. Let i be j(-9). Suppose 3*z - 26 = -c, -2*c - 2*z + 48 = -i. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -405*r - 4460. Determine n(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3190, -2945, -2700, -2455?\nAnswer: -2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 9:32 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:12 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326 by -5.\nAnswer: 326\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from efenzkenfzenekfzkef.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) -1\/8 (c) -32 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - (-3 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2136296 rounded to two decimal places?\nAnswer: 2.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/364 and -37\/130.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190345, -190352, -190359, -190366, -190373?\nAnswer: -190380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**5\/60 - u**4\/12 - u**3\/2 - u**2 - 1. Let h(v) be the second derivative of p(v). Let f be h(4). Solve 3*q = f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zprprpzroprrpppprrp. Give prob of picking 1 p and 1 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 69*s + 1087. Let y be c(21). Solve -y*a + 87 = -71 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2 - 6, 3*x + 4*h = -44. Suppose 0 = -4*d + c - 49, 14 + 11 = -d - 4*c. Is d equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004134 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15406 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/6 - z**3\/2 + 5*z**2\/2 - 2*z. Let a be i(3). Suppose -l = -3*l + a. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20512205 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + 1 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 67 + -33 - ((-1 - 0) + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 267510*u**3 + 3577812485*u**2 + 7156427520*u + 3578347520.\nAnswer: 5*(u - 26752)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 486626.13 milliseconds?\nAnswer: 0.135173925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 141. Let c = 97 + r. Let s = 62 - c. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, m: 1, n: 1}. Give prob of picking 1 n and 1 i.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 4*s**2 + 3. Let n be w(4). Let p(j) be the first derivative of 1\/2*j**2 - 1\/3*j**n - 1 + 0*j. Factor p(k).\nAnswer: -k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*w + 3587 - 1184 = 0. What is the remainder when w is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541489561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2862938?\nAnswer: 2, 13, 29, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*f**2 + (16 - 16 + 33*f)*(-2*f + 2*f - 2*f).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c + 1. Let o(x) = x**3 - 1. Determine l(q) - o(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-1\/3))*u)\/u)\/(u*u**(-1\/6)))\/(u\/u**(1\/3)*u*u\/(u*u\/u**(2\/17))) assuming u is positive.\nAnswer: u**(-131\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 307447781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3223*r**2 - 19*r + 30. Let s(g) = -1075*g**2 - 7*g + 11. What is -4*o(z) + 11*s(z)?\nAnswer: 1067*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 19*y**2 + 34*y + 2. Let u be q(17). Let i be 70 + (u - 3)*1. Suppose -64*m - 25 = -i*m. Solve -m*r - 16 = -4*l, -2*r + 0*l + 5*l = 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -2*x - 4, -4*o + 31 = -14*o + 2*x + 49 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21506, -20796, -19620, -17984, -15894, -13356, -10376?\nAnswer: -6960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5474 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**3 - o**2 + 593*o**3 + o**2.\nAnswer: 616*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.13 + -0.13. Let f = 2 + -2.1. Let v = f - 4.9. Which is the third biggest value? (a) 0 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -12. Suppose -f - b = -3*t - 1, -2*t + 12 = f. Suppose 0 = -5*g + t*l + 51, 4*g + 2*l - 36 = 4*l. Calculate the greatest common factor of 28 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - x**2 - 9*x + 20. Let j(v) = 15*v**3 + 6*v**2 + 45*v - 100. Let i(d) = -11*g(d) - 2*j(d). List the prime factors of i(6).\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(108)\/sqrt(9) + sqrt(12))\/sqrt(6) + (sqrt(24)\/sqrt(3) - (sqrt(2) + sqrt(32) + -2)).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r, 0*j - 111 = 2*j - r. Let c = -525 + 1049\/2. What is the common denominator of c and (-9 + 0)*j\/(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - 111001100011001011?\nAnswer: -111001100011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 983845, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6585980 times -0.4\nAnswer: 2634392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 + -3 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-12)*(-153)\/(-595)*14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -295197 - -1217873\/4. Let l = a + -9317. Let r = l + 46. What is the second smallest value in r, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.182 + -0.532. Which is the second biggest value? (a) p (b) 4\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 32 = -3*v. Suppose -4*y + 28 - v = 0. Suppose -2*t + 217 = -d, 2*t = -y*d + 4 + 209. Is 27 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2*h**2 - 1 + 4 - 520*h - 3*h**2.\nAnswer: -h**2 - 520*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405313813 to the power of 1\/2, to the nearest integer?\nAnswer: 49044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 3*g**2 + 6*g - 1. Let r be b(4). Is 1 + 0\/3 + r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/429 and -48\/143?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + y)*((0 + 2 - 1)*(3 - 3 - 1) + 0 + 4 - 1 + 0 - 2 + 4) + (-1 + 3 - 3)*(15*y + 74 - 74) + 0*y - 3*y + 5*y to j + i*y and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34590715 + 61.08.\nAnswer: -34590653.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**7\/210 + p**6\/120 - 29*p**3\/6 - 49*p**2. Differentiate j(a) with respect to a.\nAnswer: -4*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1001201210210110 (base 3) to base 6\nAnswer: 1303143233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**3\/3 + 3*f**2 - 3*f - 63. What is z(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*g + 9 = 0, -5*t - 4*g + 1 = 11. Let b be ((-3)\/t + 2)*6. Suppose -196 + 176 = -10*p. Solve 3*f + 0*w - b = w, 0 = 2*f + p*w - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*s - 35737 = 12571 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(1\/(-1)) - -6. Suppose -p = 4*q + 104, q = -z*p - q - 466. Let x = p - -189. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Let n(k) = -5. Let m(y) be the second derivative of y**4\/12 - 3*y**2 + 2*y. Let h(w) = 5*m(w) - 6*n(w). What is s(h(x))?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 336908253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36628?\nAnswer: 2, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ad04 (base 15) to base 9\nAnswer: 55274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 3*v**2 - v + 2. Let w(q) = -6*q**3 + 20*q**2 + 19*q + 10. Let o(s) = 10*p(s) - 2*w(s). Factor o(m).\nAnswer: 2*m*(m - 8)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275006011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 225*x - 232*x + 2674. List the prime factors of x.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1\/5 (c) 0.59 (d) 0.1 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24184793.\nAnswer: 41, 589873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 n, 1 r, and 1 b when four letters picked without replacement from nobhr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/4, 0.2, 265, -1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4316178 rounded to two dps?\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f - 3. Suppose -2*b + 175 = -9*b. Let r = -21 - b. What is k(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81496 is divided by 40719?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57107516 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30617 - -71957. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5498 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:31 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181 + -179. What is the third derivative of 2*v**4 + 8*v**n + 57 - 13*v**2 - 54 wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 14*u**2 + 12*u + 48. Let h be p(15). Suppose 0 = 2*s - 3*r + 5*r - 2106, 0 = h*s - 3*r - 3183. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4 - 30702*g**2 + 30339*g**2 - g**4 + 431*g**6 wrt g.\nAnswer: 51720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 1. Let u be s(2). Suppose u*y - 47 = -2. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 73 + ((-132)\/(-30) - (-9)\/15). Let z be 6\/(-66) - x\/11*-1. Solve -9*i + z*i + 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 40, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-6) + (-11)\/(-44). Which is the third biggest value? (a) g (b) -4\/57 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 38 = 16*p - 15*p, -5*x - p = -338 + 350 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 279, 490, 701, 912?\n\"Answer: 211*a + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2 = 2*b + 2*n, -16 = 2*b + 2*n. What is the units digit of (2\/b)\/((-1 + 2)\/(-618))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6275664 and 32?\nAnswer: 12551328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*(-138)\/(-23)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-14)\/(-35))\/((-12)\/(-30))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 326*j*w**5 + 3*j*w + 151420*j - 174020*w**3 + 120*w wrt w?\nAnswer: 6520*j*w**3 - 1044120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000018312259 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = 6. Suppose -5*b - 2*l - n*l = 0, l = -5*b + 20. Suppose 3 = b*m - 37. What is the least common multiple of 9 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 2 - (-25 - (16 - 55)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340 and 189856?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 9*f**4 - 4*f**2 + 6*f**2 - 2 - 2*f**4 as o*f + m*f**2 + b + y*f**4 + p*f**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/z**35)*z**(-2\/79)*(z\/z**(-9))**(4\/27) assuming z is positive.\nAnswer: z**(77761\/2133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -51, -2, -79, -3, 1.\nAnswer: -79, -51, -32, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d - 2*w, 0 = 3*d - 2*d - w - 1. Let a be (-5)\/((d + 0)\/(-1)). Suppose -a*c = -2*j + 43, 5*j - c - 79 = 2*c. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/5 and 1\/332.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21.6 and -1.8.\nAnswer: -38.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*k**2*s - 4084*b**2*s - 22*b*k*s + 40*k**2*s wrt b?\nAnswer: -4*k**2*s - 8168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8325771 - -7?\nAnswer: -8325763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 8, -6, 2, 0 in increasing order.\nAnswer: -6, -3, 0, 2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/35)\/((-2)\/130). Suppose -g*o + 6 = -37*o. Solve o*v + 9 = -0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18 - (602\/(-198) - -3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 287\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 577515\nAnswer: -2\/192505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303893 at most as big as 3303893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5443973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -5 + (-3 + -14 - (-69 + 46))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**3 + 645*v**2 - 2685*v - 3325 = 0.\nAnswer: -133, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 1. Let h be t(1). Let l(n) be the second derivative of -3*n + 0 + h*n**3 - 7\/12*n**4 + 2*n**2. Factor l(i).\nAnswer: -(i - 2)*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 872 = 11*x, 102*x + 790 = -105*x + 217*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m**2 + 11*m**4 + 24*m**2 - 26*m**2)*(1 - 4 + 1)*(-m + m + m).\nAnswer: -22*m**5 + 36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 50 (b) -3\/2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909720 is divided by 19355.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748, 755, 742, 709, 656, 583?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5040704890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 1363644?\nAnswer: -10909152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + (-3 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 13\/4, 0.03, 0.1 in descending order.\nAnswer: 33, 13\/4, 0.1, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.18 (c) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-21))\/(2\/(-7)). Suppose -5*l = 7 - 2, 3*l = -2*q + 1. Let o = q - y. Solve -4*a - 4*t - 20 = o, 2*a - 3*t - 3 = 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 179 + 58 = 29 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -4) + 10 + -11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/9 and 52\/79.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-17)*q**(-17)*(q\/q**5)**(-2\/9) assuming q is positive.\nAnswer: q**(-298\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1197 = -75*c - 72 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3226*b - 3231*b - 23 + 6460*b + (-b + 2*b - 2*b)*(1 - 5 + 1).\nAnswer: 6*b - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from kmtkbkwmtmxxtbk?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 46 (c) -677\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5 + 2*n - 8*n - n**2 + 2*n - 4*n. Let a be f(-7). Let p = 7 - 4. Solve 0 = p*j + a*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + s**2 + 3*s**2)*(-5*s**3 - 4*s**2 + 4*s**2) + 3*s**5 - 2*s**4 + 2*s**4.\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*z - 164 = 3*t, -t - 37 = -2*z. Let g = t + 75. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - -2 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*w + 25, w - 1 + 6 = q. Let h be (-4)\/(-3 + 1 - -1). Suppose -5 = -3*g + h*r, -4*r - 12 = -q*g - r. Solve 8 = 5*o + g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, -2.22, 1\/6?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8048 + -12377?\nAnswer: -3328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*i - 10*i. Let l be (4 - (-179)\/3)\/(i\/3). Which is bigger: -48 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1088 - 667. Suppose 64 = -3*y + m. What are the prime factors of y?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*q - 1 = -2*n - 76*q, 5*n - 20 + 81 = -93*q - 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-504)\/35)\/(-12))\/((-3)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13184.04 + -13184. What is the second smallest value in -3, 0.4, 0.45, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11748933\/42703298 + -1\/102161. Find the common denominator of c and 27\/494.\nAnswer: 5434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174115, -174118, -174121, -174124, -174127?\nAnswer: -174130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1858279 less than -1858280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20383.29+0.2\nAnswer: -20383.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1.2664.\nAnswer: 5.0656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*b + 1682 - 1682)*(0*b - b + 0*b).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + (-335 - -325)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (-30)\/48)*-20. Let i be ((-1299)\/(-35))\/((-4)\/10). Let d = i - k. Which is the closest to 0? (a) 0.06 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s = p - 452, 3*s - 26 = -0*p + 12*p - 8*p for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 3:41 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 353242 divided by 478?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 8:27 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 3. Let k be r(-2). Suppose -2*i + 61 = 25. Let w be (-26)\/14 + 36\/i. Which is the nearest to -0.1? (a) w (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 9:37 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 12\/2) + -4 + 8. Suppose f = -17*m + 18*m - 140. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-120))\/((18\/(-16))\/(-3))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1010001010?\nAnswer: 1010001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*-6 - 3. Suppose -x + o = -1. Differentiate 6*z**3 + 12*z**2 - 12*z**2 + x wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2359772060107 - -0.402.\nAnswer: 2359772060107.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.07 - 0.07. Let t(u) = -u**3 + 19*u**2 + 20*u - 5. Let n = -11 - -31. Let o be t(n). Sort o, -4\/7, v.\nAnswer: o, -4\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - -0.04. Let a = 0.03 - 0.13. Suppose 0*d + d - 12 = 2*j, -4*j = -d + 22. Sort a, g, d in descending order.\nAnswer: d, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 7*v + 84. Suppose -9*i = -3*i - v. Let o = 21 + -17. Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (8 - 10) - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x + 34*x + 128*x - 289*x + 39*x + 41*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43977 from -0.85.\nAnswer: -43977.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -153*f + 104*f + 82*f to the form b*f + k and give b.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:10 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16997392, -33994807, -50992222, -67989637, -84987052, -101984467?\nAnswer: -118981882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 2*h + 4. Let n be o(-3). Let w = n + -6. Is 20 a factor of 1106\/21 - w\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -45*p**2 + 4*p - 682. Let w(u) = 47*u**2 - 5*u + 680. Let g(s) = -9*j(s) - 8*w(s). Find the first derivative of g(d) wrt d.\nAnswer: 58*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 995291.7 + -36009\nAnswer: 959282.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0658 and 0.104154.\nAnswer: 0.0068533332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-1 + sqrt(2057)) + (sqrt(2057) - 2*sqrt(2057)*-1))*1*4)**2.\nAnswer: -19008*sqrt(17) + 2666448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 0*(2 + 6\/(-4)). Suppose -y*h + 4*s = -12, 5*h - 4*s + s - 5 = 0. Sort h, -0.3, 2.\nAnswer: h, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13566*h**3 + 33*h**2 - 2*h + 577161?\nAnswer: 40698*h**2 + 66*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) -2\/15 (c) -0.35 (d) 131\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 15. Let y = 7 + q. What is the nearest to 2\/7 in y, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 6*m - 8. Let s be b(4). Let l(a) = -53 + 9*a - 7*a + s*a. Let w be l(26). Sort w, -30, 2.\nAnswer: -30, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhw when three letters picked without replacement from huwmwwwcuhwumhuw?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/5881 and -6\/1133.\nAnswer: 6663173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 h, 1 p, and 1 w when four letters picked without replacement from wpyhwjwwwxjwww.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5571 by -619.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.5554 and 34.\nAnswer: 32.4446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.07 (c) -22 (d) -0.3 (e) -0.5 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let b(q) = 2009*q**2. Determine b(c(h)).\nAnswer: 8036*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.1 + -41.2108. Let j = -0.11080539 - n. Round j to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 7*a - 4*a. Suppose -3*q = 2*v - 13, -2*v = -2*q - 7*v + 16. Let y = q - 0. Solve 4*f - 17 - y = a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1044\/26 + 2\/(-13). Let b = n - -101. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291034785?\nAnswer: 3, 5, 37, 524387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5\/4*v**3 + 1535\/4*v**2 + 1515 - 1520*v = 0.\nAnswer: 2, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365.5 kilometers in millimeters?\nAnswer: 1365500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 129*r**2 - 116*r**2 - 1030*r**2 + 0 + 0 to the form w*r**2 + b + c*r and give w.\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-12))\/((-2 - -1)\/(-3)). Let v be 28\/i + (16\/(-10))\/(-4). Solve -p + 10 = -v*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 - 2*j + 4*j**3 - 1350*j**4 - 4*j**3 + 23 + 1349*j**4 + j**3 as t*j**2 + x*j**4 + o + r*j + d*j**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10072 + 14132. Let v = h - 435523\/18. Calculate the common denominator of v and 55\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 + 5*f - 4. What is s(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 641 - 664 - (1 + -16) - (-2 - -19)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r - 2*r. Suppose 2*v = 4*o + 136, -3*v + r*o - 4*o + 214 = 0. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 51. Let -26\/3*z**l + 4\/3 - 4*z**2 - 4*z**4 + 2*z = 0. What is z?\nAnswer: -1, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -233491493 and -3402.\nAnswer: -233494895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -26*v**2 - 3516*v - 4294. Determine t(-134).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + z**2 + z + 165*z**3 - 84*z**3 - 86*z**3 to the form k*z + o*z**2 + g*z**3 + v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 8*d**2 + d - 4. Let u be k(8). Suppose 2*v - 1884 = u*c, -2*c - 3 = c. What is v rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -13 - -12 - -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 14\/56697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11\/4)\/y)\/(y**(2\/75)*y)*(y\/(y\/y**(2\/59)))**(-2\/5) assuming y is positive.\nAnswer: y**(-84787\/17700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**3\/6 + n**2 - 3*n. Calculate o(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284663 is divided by 56928?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-4) + (-4)\/(-8). Let j be (9\/p)\/(3\/15). What is the units digit of (j\/5)\/(6\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 11) to base 16.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*b + 1. Let v be (b - 0) + -27*2. Find the common denominator of -99\/10 and v\/3 - (-1)\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5005 is divided by 142.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 382*z**4 + 23*z**3 + 2*z**2 + 175*z - 21. Let b(j) = -j**4 + 2*j**3 + j. Let t(i) = -11*b(i) + u(i). What is the third derivative of t(c) wrt c?\nAnswer: 9432*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 3014544?\nAnswer: -3014550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3*t - 39*p**3 - 2*p**2*t - p**2 - p*t + 2*t + 721 wrt p?\nAnswer: -12*p*t - 234*p - 4*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 0)*(-z**4 + z**4 + 5*z**2 - 3*z**4).\nAnswer: 21*z**4 - 35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z - 26*z + 3 - 182*z**2 - 34*z + 52*z.\nAnswer: -182*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**3 - 3504*h**2 + 820*h - 217 wrt h.\nAnswer: -30*h - 7008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*r - 30. Suppose 58*h - 13*h = 0. Suppose 4*o - 3*l = h, 2*o + 2*l - r = l. Solve -i = o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21\/77 - (-351360)\/88?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/18*1311951\/155 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130704 + -295239. Let h = -164404.141 - k. Let u = 131 - h. Round u to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 656*s**4 - 23*s**6 - 1686*s**2 - 656*s**4 + 356*s**6 wrt s?\nAnswer: 39960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 10. Suppose 5*d = 59 + l. Suppose 4*k - 3*s - d = -5*s, s = -4*k + 12. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 2732100.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 0*v + 0 - 1\/3*v**4 + 1\/3*v**5 - 5\/3*v**3.\nAnswer: v**2*(v - 3)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-5)*(-195)\/52. Factor -3\/2*p**2 + x*p - 3.\nAnswer: -3*(p - 2)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. Let d(g) = 3*g**4 - 8*g**3 + 2*g**2 - 2*g - 2. Let c(k) = -12*k**4 + 33*k**3 - 9*k**2 + 9*k + 9. Let t(a) = y*c(a) + 9*d(a). Factor t(s).\nAnswer: 3*s**3*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*l - 3*z, -3*z + 17 = 2. Let o be 6\/(-3)*l\/(-10). Factor 2\/5*h**3 + 1\/5*h**5 - 2\/5*h**2 + o*h**4 - 3\/5*h - 1\/5.\nAnswer: (h - 1)*(h + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*(84\/(-8))\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - 28. Let l = -30 - f. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2505 - 2651.9. What is h rounded to zero decimal places?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24461.\nAnswer: 61, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.291.\nAnswer: -0.0291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30469 to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 373.9*14.\nAnswer: 5234.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12313 (base 4) to base 12\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626802 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*r**4 - r**2 + 2 - 5*r - 3 - r**2 as g + h*r**4 + b*r + p*r**3 + y*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82507901 divided by -199777.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -17.1. Let z = i - 9. Let w = 24.6 + z. What is the closest to 0.1 in 1, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3581099 is divided by 206.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukulmtumkms. What is prob of sequence mm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, and 1 a when three letters picked without replacement from accccaackcakc.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/537 and 71\/369132.\nAnswer: 66074628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 17*h**2 - 68*h + 15. Calculate r(6).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.54 + 1.04. Which is the closest to -1.6? (a) 2\/9 (b) q (c) -1\/8 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -61*c**5\/60 + 3*c**4 - 168*c**2. Find the second derivative of y(i) wrt i.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 24*r - 8. Let h(y) = 24*y - 9. Let d(v) = 6*g(v) - 5*h(v). Let k(u) be the first derivative of -u**3\/3 + 391. Give k(d(n)).\nAnswer: -576*n**2 + 144*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -10 - -12 - 825\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)*w*(w*w*w**2)\/w)\/(w*w**(-1\/2)*w)**29 assuming w is positive.\nAnswer: w**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 496b00b?\nAnswer: -496b00b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2. Let k(m) = -534*m - 14. What is i(k(t))?\nAnswer: -285156*t**2 - 14952*t - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxxuxxxxxxx. Give prob of picking 3 x.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18823394663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 and (-42614)\/(-31668) + 12\/(-14).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, -3, -7.\nAnswer: -17, -7, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282508529\/14679120 + -70781\/3946. Let s = v + 2\/465. Calculate the common denominator of s and -5\/34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212321, -212340, -212359?\nAnswer: -212378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13114 smaller than -13114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -76353 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412493 is divided by 7111?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -4398.\nAnswer: -2\/2199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8879 and 23905.\nAnswer: 310765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 1 = -1. Let v(k) be the first derivative of 2 + 5\/4*k**4 + 0*k**3 + t*k + 5\/2*k**2. What is the second derivative of v(m) wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/1 + (-21)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -5*p**7\/7 + p**3 - 6. What is the third derivative of j(t) wrt t?\nAnswer: -600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18019\/26 - -693. Which is the fourth biggest value? (a) t (b) -2\/7 (c) -0.1 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + -1535?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80230842?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4182705 and 147.\nAnswer: -614857635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -1\/7 (b) -5 (c) -3\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112 - 2797*p**3 - 25 + 6*p + 94 wrt p.\nAnswer: -16782*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128)*1)**2*-3 - sqrt(128))*-3*4 - ((sqrt(450) - -2*sqrt(450)) + sqrt(450))*4*-2.\nAnswer: 576*sqrt(2) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46172771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = 5*k, 4*k - 2*t - 5 = -1. Suppose 3*s = 87 + 45. Suppose 4*c - f - s = k, -6 + 0 = c + 4*f. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 5:25 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2082*b - 1361*b**2 + 4199*b + 3 - 2117*b as y + t*b + h*b**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 123918746, 247837496, 371756246, 495674996, 619593746, 743512496?\n\"Answer: 123918750*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*y - 1 = 0, -v - 24*y + 4 = -22*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182*121\/4719)\/(1\/(-18)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4))**(2\/37)*(x\/x**(-1))**(-10) assuming x is positive.\nAnswer: x**(-1483\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 29*c**2 + 64*c + 111. Give p(-31).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n = 3*i + 73270, 0 = i - 4*n + 24427. Let m = i - -2222445\/91. Find the common denominator of -2\/11 and m.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7929990 is divided by 440555.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -158117616.8 rounded to the nearest 100000?\nAnswer: -158100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*3\/(-12))\/(((-235)\/(-47))\/170).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/7 + 47*f**3\/7 - 439*f**2\/7 + 97*f\/7 + 330 = 0?\nAnswer: -55, -2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -87, -54, -21?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 (base 13) in base 6?\nAnswer: -2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6092.9 - -2.3711.\nAnswer: 6095.2711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 146*i - 129*i - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*a - 395*a - 1380 = 455*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 320 = -16*g + 348, 3*g - 3*t = 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-28)\/(-6))\/(2\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167.795 + 21.795. What is the biggest value in w, 16, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.2 in 55, -1, -1\/2, 16\/7, -3?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3124 and 42316?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -358448464 + -2?\nAnswer: -358448466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2548 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3 - 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 + 8*p**2 - 17. Let o(q) = -q**3 - 3*q**2 + 6. Let g = -753 - -736. Give g*o(x) - 6*u(x).\nAnswer: -x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 0) + -91 + 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*i**5 - 227664*i**4 + 2741910*i**3 - 5430298*i**2 - 7600590*i - 2085750 = 0. What is i?\nAnswer: -1\/2, 45\/11, 9, 2575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*z - 26, 9 + 7 = 2*h - z. Suppose 0 = i + 4*v + 20, 3*v = -i - h - 9. Let s be 2 - 7\/((-14)\/i). Sort s, -2, -1 in ascending order.\nAnswer: s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -9 + 0*i**2 - 11*i + 1\/3*i**3. Give g(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**5\/5 + 686*u**4\/5 + 23392*u**3 - 236672*u**2\/5 = 0.\nAnswer: -344, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*c**2 - 8*c**3 + 54*c**2 + c**3 - 2 + 0 - 10*c in the form b*c**2 + w*c + o*c**3 + r and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -5667.8.\nAnswer: 22671.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4003 (base 5) to base 16\nAnswer: 1f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*j - 5, 0*o - 12 = 3*o + 5*j. Let x = o - -6. Calculate the highest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 9. Let g be (1 + 1)*4\/k. Suppose -s - 169 = -g*s + 2*w, 3*s - 174 = -3*w. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 96 - 3*x**2 + 96.\nAnswer: -3*x**2 + 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 11 = -4*i + 2, i + 2*u + 2 = 0. Is 14 a factor of ((-8)\/(-10))\/(i\/120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/424 - 1998\/(-2385)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -3*x + 3*s + 10, 2*s = 3*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/4700 - -314837\/98700. Calculate the common denominator of -1\/18 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2, 4, -4, 11\/145, 0.5 in decreasing order.\nAnswer: 4, 2, 0.5, 1\/5, 11\/145, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 12 = -4*g, 2*g + 8 = -5*r + g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 14. Let d(m) = -2*m - 8 + 1 - n. Let a be d(-6). Solve a = -w + 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -33e?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79*y**3 - 63 - 782842*y + 782842*y)*(0 + 2*y + 0) to the form a*y**4 + c*y**2 + h*y**3 + x + o*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r - 200. Let y = -10 + r. 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: Solve -4*f = p + 116, -4*p + 4960 = -2*f + 4902 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -59, -75, -91, -107?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 1117*c**2 + 18700*c.\nAnswer: c*(c + 17)*(c + 1100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194.4 + 194.8. Let k = -6.3 - -6. Which is the nearest to -1? (a) k (b) s (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31230 + -31228. Let l(x) = -x + 7. Let i be l(5). Factor -5\/12*u**3 - 7\/4*u**w - 1\/3 - i*u.\nAnswer: -(u + 2)**2*(5*u + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + (-4)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 40\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n - 80. Let h(g) = -2*g**2 - 32*g + 10. Let x be h(n). Suppose -x*b + 1122 = -228. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/10)\/((-8)\/20). Let k = 19 - c. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(77) + sqrt(77))*-2)\/(-4*sqrt(539)))**2 + -5.\nAnswer: -131\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 + -30 + -10 - -16)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/18 - (-25)\/(-72). Let w = -112.2 - -196.5. Let n = w + -84. What is the closest to -2\/7 in n, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 2*j - 4*j + 3*j + j - 2*j + (-3 - j + 3)*(1 + 0 - 3) + 5*j - 4*j + 4*j + 56 - 423*j - 56.\nAnswer: -415*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 19. Suppose 5*k + 15 = 0, 0 = o*t - 11*k + 7*k - 4982. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -287834.55 rounded to the nearest one hundred?\nAnswer: -287800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138815 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + (-71 + -33 - -51).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*z + 5 = -18, -17 = 5*l + 3*z. What is the remainder when 14 is divided by (14\/4*4)\/(l + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(500) + sqrt(500) + (sqrt(500) - (sqrt(500) + -1 - sqrt(500))))**2 + -2 - (2 + sqrt(125))*-5).\nAnswer: 85*sqrt(5) + 4514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 q when four letters picked without replacement from {d: 8, b: 2, q: 9}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -778891?\nAnswer: -778891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 222131 (b) -2 (c) 1 (d) -0.2 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(2\/(-24)). Suppose -d = -2 - 7. Let s = d + -5. Solve -2*i - s*u + 30 = 0, 5*i + u - t*u = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026870 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (4 - (-172)\/(-4)). Let a be c\/21 - (-14)\/(-4)*-2. Solve -2*z = a*d + 10, d = -10*z + 5*z - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a decade?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 = 1. Let p be (-1 - 0) + (l - 6). Let m = p - -13. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (12 - 12 - (4 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 40*u**2 - 208*u - 224.\nAnswer: 4*(u - 14)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4623?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -21*d - 50. Let y be z(-16). What is the highest common factor of 22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/7285 + 14549\/50995. What is the nearest to v in -5, -18, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10412 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: How many minutes are there between 1:57 PM and 2:08 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 6:42 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 222, 587, 1208, 2085, 3218?\n\"Answer: 128*q**2 - 19*q + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Which is the third smallest value? (a) -1\/4 (b) m (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1504)\/200)\/(-94) + (-1698)\/(-25)\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135988786?\nAnswer: 2, 1091, 62323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 4*g - 1. Let y be d(-4). Which is smaller: y or 1\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -73*s + 6. Calculate h(3).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 693303 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/78)\/(((-156)\/(-126))\/13).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -17\/14, -3\/5 in ascending order.\nAnswer: -4, -17\/14, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 12:40 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3\/12 + 3*g**2\/8 - g + 11. Determine f so that d(f) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68488800*g**6 + 3*g**4 + 17*g**2 - 628544*g - 1.\nAnswer: -8218656000*g**3 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 25*v**2 - 27*v + 3. Let s(c) = c**3 - 14*c**2 - 15*c + 1. What is 4*b(u) - 7*s(u)?\nAnswer: u**3 - 2*u**2 - 3*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - a**2 + a + 1. What is o(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/925158 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**3 - 3*r**2 + 3*r - 1. Let c be b(1). Suppose 5*o - 20 = 3*o. Let d be (12\/o)\/3*25. What is the highest common factor of c and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/6344 and -5\/12688.\nAnswer: 12688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 27954808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) -25 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -4, 854 in descending order.\nAnswer: 854, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 295*r + 1. Let d be a(1). Suppose k + 639 = g, 0 = -4*g + 5*k - d + 2856. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flfflffwlwfffl. What is prob of picking 2 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 2601 + 44559. Suppose -5*v + h = -2546. What are the prime factors of v?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Let u be (n\/8)\/((-3)\/(-12)). Solve o - 1 - u = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 1007?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -151089 + 151089 - 269*f**3 + (-3*f**2 - 9*f**2 - 6*f**2)*(0 + f + 0 + (-f + 0*f + 2*f)*(-2 - 1 + 1)).\nAnswer: -251*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b05 + -565?\nAnswer: -136a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 287606 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740*w = -742*w + 5*x + 9, 3*x - 17 = 4*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*m + 1. Let j = -465 - -468. Suppose j*h + 3 = -m*n - 2, -h + 1 = 3*n. Solve 3 = d - n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*r - 7850, 3*r = -3*p + 15626 - 3842. Suppose 0 = 5*v - c - c - p, c - 3152 = -4*v. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60556124*x**2 + 96*x**3 - 60556124*x**2.\nAnswer: 96*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 4.3 and -1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20078?\nAnswer: 2, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d + 3, 0 = w - 5*d + 13. Suppose 0*l = 5*l + 75. Let i = l - w. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599151.\nAnswer: 3, 7, 103, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 228, 349, 478, 615, 760?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 22126990?\nAnswer: 22126987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 - 7*b - 7. Let o(g) = -5*g**2 - 7*g - 8. What is 6*o(v) - 7*q(v)?\nAnswer: -2*v**2 + 7*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.18 and -14353.\nAnswer: -31289.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/254 and 33\/6355?\nAnswer: 1614170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.37 - 5.37. Let p = 15.9 - 17. Let q = -1.9 + p. Put -0.3, r, q, 0.5 in ascending order.\nAnswer: q, r, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*c + 33 = 0, 6 = -h - 2*c + 11. What is the least common multiple of h and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6229268 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 remainder when 66 is divided by 63?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*s - 1 - 5050*s + 1.\nAnswer: -5098*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*n**2 - 4*n**2 + 52*n - 137*n + 2549*n - 2 to the form o*n + i + b*n**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -57*x + 60*x - 88, 0*x - 268 = -0*x - 9*x + j for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 175*c - 11. Is s(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135603 or 135619?\nAnswer: 135603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*c + 23769 = -1279 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-6)*m\/(m**(-5)\/m)*m**(4\/3)\/(m*m*m**(-5)*m))\/((m*(m**1\/m)\/m)**(-2\/49)*(m**(-7)\/m)\/((m**(1\/5)\/m)\/m)) assuming m is positive.\nAnswer: m**(173\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 91 + 98 + 50 - 325 + 86.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 11 - -14 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 8*r + 7. Let h be u(5). Let i = -6 - h. Suppose -6 = k + 2*o + 3*o, 3*k - 16 = 2*o. Solve -k*q + 24 = i*z, 0*q - 4 = -2*z + q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0*h + 1\/24*h**4 + 0 + 0*h**3 - h**2 - 1\/60*h**5. Find the second derivative of t(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1008 divide 133192080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and ((-1332)\/(-60) - 23)\/(2\/(-570)).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 153 = -6*r + m, m = -3*r + 242. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -7. Suppose z - 15 = -2*w, 0*w - w = 5*z - 21. Let p(q) = -w*q + 6*q + q. Let u(a) = -2*a**3 + 6*a + 2. Determine i*u(g) - 6*p(g).\nAnswer: -2*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:46 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 0*r + 5*o - 15 = 0, 8 = 4*o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -101*k**5\/2 + 2722*k**4 - 12802*k**3 + 22579*k**2 - 34775*k\/2 + 4939 = 0. Calculate k.\nAnswer: 1, 2, 4939\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**4\/24 + c**3\/3 - 4*c**2. Give a(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 409 = -3*s, 0*q + 77 = q - s. Suppose -4*a = 2*g - q, 0 = -6*g + g + 5*a + 185. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -k + 2*m + 87, 0 = 4*k - 5*m - 413. List the prime factors of k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.8 - 22. Let r = -11.8 + x. Is 15 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 25, -h - 5*b = -2*h - 23. Let i = 2 + h. Suppose 4*r + i*u - 55 = 109, -5*r + 196 = -4*u. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by (-12)\/10 + 1 - 56\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 102*c - 105*c = -290 + 286, 3*c + 28 = 10*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - 2*t**3 + 24*t - 168*t + 2*t**3 - 3*t**3.\nAnswer: -3*t**3 - 144*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 189*n + 1311. Let z be a(-7). What is the third smallest value in -1, z, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/2*(-1 - 0). Let h = -4.359 + 0.359. Which is the smallest value? (a) t (b) h (c) 3\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - l - 2*z + 25 = 0, -4*l - 4*z + 20 = 0. Suppose r - l = -0*r. Factor 0 + r*a**5 + 2 - 4*a**3 - 3*a**2 - 7*a**2 - a + 8*a**4.\nAnswer: (a - 1)*(a + 1)**3*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**4\/8 - 7*r**3\/6 - 9*r**2. Let o be s(-4). What is the greatest common divisor of o and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183 - 64*q + 183)*(-3 + 0 + 0) + 6*q - 7*q + 14*q.\nAnswer: 205*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 - 39*h - 6. Let w(n) = -381*n + 1511. Let b be w(4). Calculate m(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -6945*s + 6945*s - 12, 4*s + 72 = r for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 898 a factor of 109231199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -21*i. Let r = -205 - -207. Let l(o) = o**2. Suppose 0 = -4*u + u - 15. Let z(c) = 3*c**2. Let t(j) = r*z(j) + u*l(j). Give f(t(k)).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of (-2230)\/((-9)\/18*((-170)\/35 - -5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6690, 4997, 3304?\n\"Answer: -1693*t + 8383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllimlmllljmll. What is prob of picking 1 i and 1 m?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/21))\/n*n**14)\/((n\/n**12)\/(n*n**10*n*n*n)))**(2\/43) assuming n is positive.\nAnswer: n**(1642\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186874.\nAnswer: 2, 223, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*b**4 + b**3 - 350*b**2 + 3*b - 53477 wrt b.\nAnswer: 108*b**3 + 3*b**2 - 700*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 3, e: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*((-6)\/(-10))\/((-636)\/(-2650))*10\/5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 229987, 459933, 689891, 919867, 1149867, 1379897, 1609963?\n\"Answer: s**3 + 229939*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b = -4*f + 31*b + 4, 3*f = -2*b + 5. Solve f*y + 0 = 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -81, -0.044, 86, -2\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/22 + -117\/154. Suppose -i + 0 + 7 = 4*l, i = l - 3. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151789267.\nAnswer: 7, 71, 305411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 24544480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*m**6 + 5*m**3 + 2*m**2 + 1230*m?\nAnswer: -10440*m**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 659 - 659.8. Suppose 2*n = 5*i + 2 - 15, -2*n - 5*i + 17 = 0. Which is smaller: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26350\/(-7750) - (-908)\/270.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 + 52. Let u = z - 3. What is the third biggest value in 0, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5 - 4*a - 2*a**2 + 2*a**2 - 6*a**2. Let n(h) = 18*h**2 + 11*h + 14. Let g = 71874 + -71880. Determine g*n(b) - 17*w(b).\nAnswer: -6*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85152 + 85135. Let k(t) = -t**2 - 3*t - 7. Let c be -3 + (-3 - -2)*2. Let h be k(c). Is o less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11.2478, 0.2, 0, 2\/19, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -0.064?\nAnswer: 0.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 589*c**2 + 279*c + 16379. Calculate j(-196).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 616 divided by -6.\nAnswer: -308\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3143*a + 18921. What is u(6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let d(q) = -20*q**3 - 75*q + 1. Let a(v) = -d(v) + 5*r(v). What is the second derivative of a(l) wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -125*b**8\/336 + 85*b**7\/6 + 31*b**6\/4 - 407*b**5\/3 + 665*b**4\/3 - 160*b**3 + 35*b**2. Find k such that x(k) = 0.\nAnswer: -2, 2\/5, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(2*n - 4*n - 2*n)*(-4 + 3 - 1).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 41*r**2 + 3*r - 82. Let h be v(41). Suppose -125 = -14*d - h. Let u(g) = 2*g - 17. What is u(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/24*((-540)\/150)\/2?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23864749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 5.91. Let j = n + 0.01. Let l = 4.1 - j. Which is the nearest to -1\/4? (a) 2\/15 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 16, 70, 178, 358?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34596609.\nAnswer: 3, 11532203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 22*f - 1263. Determine v(26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 4. Suppose 0 = 3*s - x*c - 8 - 3, c + 13 = 4*s. Let o(b) = b - 2. Let u be o(4). Which is greater: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 = -0*b. Suppose -8*u = -b*u - 204. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + 0 + -21 + 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8569.254 centuries in decades?\nAnswer: 85692.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 86328.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -463*q - 4046. What is the thousands digit of d(-38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l**6*(l*(l\/(((l*l**1\/l)\/l)\/l))\/l)**32)\/(((l*l**1*l)\/l)**(-31)\/((l*l**(-2))\/l*l*l**(-8))) assuming l is positive.\nAnswer: l**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 35 = -3*t - 2*q, 14 = 2*t + q. Let s be ((-1)\/3)\/((-172)\/258)*6. Factor -4*g - t*g + 4 - g**2 + 3*g + s*g**2.\nAnswer: 2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46.15? (a) 0.08 (b) -1 (c) 0.4 (d) 1\/9 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 23 = 5*a, 4*m = -5*a + 4 + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 359731888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*b + 11 = -2*h, 5*b - h = 19. Suppose 3*v = b*f - 234, 4*v + 0*f + 340 = -3*f. Let x = 99 + v. Calculate the remainder when 50 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 + 136. Let i = l + -29. What is the greatest common factor of i and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*d - 14 = 0, t + 2*d = 6*d + 14. Suppose -t*b - 3 = -3*b. What is the smallest common multiple of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(((-279)\/(-45) - 8) + 2). What is the nearest to -2 in z, 1, 10, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4311789709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s + 6. Let l = -194 - -188. Determine x(l).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/7 and 86\/399.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -32 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose 0 = -a*d + d + 189. Suppose -2*m + d = 5*w, 120 = 3*w - 0*m - m. What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.4 + 13. Let l = 4 - 3.4. Let q = i - l. Which is the biggest value? (a) q (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238680\/180 - (-5)\/(-45) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 324*b + 23. Let d(k) = k**2 + 2*k + 1. Let s be d(-3). Is t(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a + 96. Let x be (-2)\/2 + 3 + -2. Suppose x*j + 4*j - a = 4*f, 5*j - f - 40 = 0. Calculate the remainder when 19 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c**2 + 840*c - 29238. What is b(74)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27394 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 19*i - 10. Give b(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 2. Let w be p(-6). Suppose 2*g - 26 = -4*f + 4*g, -5*f + 26 = 4*g. What is the remainder when 12\/4*w\/(-3) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 29, 42, 49, 44, 21, -26?\n\"Answer: -d**3 + 6*d**2 + 2*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1513 and 5\/712.\nAnswer: 12104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l. Let i = -2 - -5. Let o = -52 - -59. Let y(q) = 2*q - 13. Let x be y(o). Let d(t) = -t**2 + 4*t. Give i*u(z) + x*d(z).\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*t - 53*t + 30*t - 30*t**2 + 174*t.\nAnswer: -30*t**2 + 295*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 403*f**5 + 93*f - 20 wrt f?\nAnswer: 8060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -851, 10, 871?\n\"Answer: 861*s - 1712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (702\/(-13))\/(-6)*(-3 + (-30)\/(-9)). Solve 11 = -3*t - 2*r, 2*t = t - l*r - 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 16, -3*r + 20*l = 23*l + 12. Calculate the smallest common multiple of 99 and 91 + (-2 - r - -4) + 6.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*a = -166, 0 = 4*s - 0*s - 3*a - 162. Let f = s + -37. What is the lowest common multiple of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 28. Let f(n) = -3*n - 4*n - 2*n**2 + 7*n + 0*n. Calculate l(f(w)).\nAnswer: 6*w**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*b + 528*b = -6 + 42 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 1, h: 1, a: 2, r: 1, v: 1}. What is prob of picking 2 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1473*p**2 + 11*p - 16. Is o(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - 12*n**4 + 24*n**4 - 2*n**2 - 54*n**4 + (4*n**3 + 3*n**3 - 5*n**3)*(n + 0*n - 2*n) + 0*n**4 + n**4 - 6*n**4.\nAnswer: -49*n**4 + 2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48*n**2*v**3 - n**2*v - 1588*n*v**3 - v**3 + 20*v**2 - 4*v - 15 wrt n?\nAnswer: -96*n*v**3 - 2*n*v - 1588*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 1 (c) 0.3 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/120 - n**5\/15 + 5*n**4\/24 - 2*n**3\/3 - 12*n**2 - 128*n. Let m be 3*6*(-2)\/(-9). Determine x(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**5\/20 - 5*l**4\/6 - l**3 - 11*l**2 - 21*l + 56. Determine d(-9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24, -14.61, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -25*t + 15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = -5. Let m(c) = -c**3 + 13*c**2 + 14*c - 6. Let h be m(14). What is the tens digit of h\/(-18)*(-6)\/k - -81?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2912, 2905, 2898, 2891?\n\"Answer: -7*z + 2919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 597\/9 + 14 + -14 - (-188)\/(-564)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 22 = -0*v - v, v + 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 6*i**2 - i + 8. Let h be r(6). Solve 4*y + 2 = -h*w, 1 = -3*w + y + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -1.06. Let l = z - 0.99. Let t = l - -0.49. Which is the second biggest value? (a) -1 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11f2 (base 16) in base 7?\nAnswer: 16252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*b = -6070 - 8181 + 2101 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.392 + 0.4. Let c = 0.08438 + -45.07638. Let n = c - f. Is -1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(57\/76*4\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2892955 - 0.4.\nAnswer: -2892955.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 23 = 68. Suppose -22 = -5*c + n - i, n - 14 = -4*c. Let b(o) = 3*o + 1. Give b(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.24 + -0.17. Let k = 4.07 - m. Which is the closest to -1? (a) 1\/4 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-2)\/4*-2. Suppose 0*x + x - y*g - 16 = 0, -5*g = -3*x + 48. Let v(l) = 12*l + 13. Is v(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4268591563.\nAnswer: 4268591563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(2*j + j + 2*j).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158081403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16675 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r = r + 30229. Let b = r + -448. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - 0) + 0 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 18, -0.6, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27499 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:33 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 7*s**2 - 17*s - 88. What is k(10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 2\/3)*-3. Suppose -c*t = i - 25, 0*t = -t + 5. Let h = 5 - -4. Solve -2*r = -i*r + h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-8)\/(-360))\/((-9)\/15).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -59\/3899139 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.0267432?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24975 + 0.13.\nAnswer: -24974.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 20. Suppose 0 = 4*j + 3*s - 24, -363*j + 366*j - 35 = 2*s. Determine p(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 5*x**2 - 6*x + 5. Let w = -11 - -17. Let v be j(w). Let q(p) = -p**3 + p**2 - 1. Let r(l) = -4*l**3 + 5*l**2 - 3. What is v*q(n) - r(n)?\nAnswer: -n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -1656 and -497671389086.\nAnswer: -497671390742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*m*p**2 - 5*m*p + 44200610*m + 22*p**2 + 11*p with respect to p.\nAnswer: -44*m*p - 5*m + 44*p + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 510, 12, 0 in ascending order.\nAnswer: -3, 0, 12, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 102*h - 10802. Give y(104).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355 = 2*s - 3*s. Suppose 556 = l - s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 1)*(-2 + (-6 - -4) + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, q: 7, s: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*w**2 - 24*w**2 + 327*w**2.\nAnswer: 488*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(468) + 5)*-3.\nAnswer: -36*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 62*k - 382. Give u(65).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4665566111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-12))\/(9\/(-8)). Let c(n) = n**2 - 2*n - 4. Suppose -5*a + 14 = -6. Let i be c(a). What is the smallest value in -0.1, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**3\/6 + 1530*c. Let v(n) = 3789*n. Calculate o(v(a)).\nAnswer: 3789*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 1\/8, -9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**3 - 5*s**2 - 6*s + 5. Let b(q) = -q**3 + q**2 + q - 1. Suppose 4*f - m = 26, -4*f + 20 = -2*m + 4*m. Determine f*b(g) + x(g).\nAnswer: 2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 485571 and 9?\nAnswer: 1456713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 0 (c) -4 (d) -2 (e) 3\/52 (f) 1\/186 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/86 + 1\/(-2)*-4091 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90*-191\nAnswer: 17190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111 - -1100101000000000101010?\nAnswer: 1100100111111111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, 2\/107, -20\/3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 23*b - 1176. Let t be x(51). Let o(s) be the first derivative of s**4\/4 + 4*s**3\/3 - s**2\/2 - 2*s + 6. Give o(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1020)\/(-425))\/(28\/(-20)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35137)\/(-42) - (-6)\/(-15). Let a = 240770\/3 + -79420. Let d = a - r. Find the common denominator of -83\/6 and d.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + q - 8, -t - 2*q = 2*q + 4. Let o(u) = 5*u + 3. Let l be o(-6). Let x be (-2)\/4 + l\/(-42). What is the biggest value in t, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.114 - 0.046. Round j to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -15. Which is smaller: -10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -1.3193?\nAnswer: 0.9193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 112 = 2*w - 128, -5*v + 22 = -w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 42*o**3 + 4*o**3 + 2*o**2.\nAnswer: 46*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -116*n + 22. Is a(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118.01 - -6.39. Let w = 121 - l. Which is the second biggest value? (a) 0.2 (b) w (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 5 = 12*o + 5*s, -3*s - 7 = 4*o. Which is the third biggest value? (a) -0.07 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*z - 39*z + 73*z**4)*(13 - 5 - 7).\nAnswer: 73*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9450*j**3*x**2 - 154*j**3*x + 3*j**3 + 7*j**2*x**2 + 4*j**2*x + 9 wrt x?\nAnswer: -18900*j**3 + 14*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01058947225 to seven dps.\nAnswer: 0.0105895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -338*c**3 + 2*c + 1. Is l(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 48*n = -1680. Differentiate 23*y - 9*y - 2*y + n*y - 16 wrt y.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (191\/955)\/(45\/(-10)*-1).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 8*s**2 + s - 8. Let t be 2\/(-3)*(-48)\/4. Let z be k(t). Is -2\/25 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.2. Let d be (11\/825)\/(51\/510). Which is the closest to l? (a) d (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0*c**2 + 1\/6*c**3 + 0 - 16*c. Let f(z) be the first derivative of -z**2\/2 - 115. Determine f(x(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -464 minus -5.656341159?\nAnswer: -458.343658841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227416619 to the nearest integer?\nAnswer: 15080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11757510833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 7*p**2 - 22. Let a be s(3). Calculate the greatest common factor of 133 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373055.3 millilitres in litres?\nAnswer: 373.0553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-800)\/(-1000)*(-30)\/2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60315 + 9572 = 23*y - 100*y. Solve y*i = 667*i - 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4447 or 767?\nAnswer: -4447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306991 is divided by 5668.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (12 - 16 - -21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34462759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2760\/(-315)*1596\/(-2128).\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22098, -44054, -66010, -87966?\n\"Answer: -21956*i - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166 - -182. Let w be ((-9)\/(-6))\/((-1)\/(-12)). Let i = w - s. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 1\/319?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40487*g = 40519*g - 416 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10855 - 32567\/3. Which is the closest to -0.04? (a) t (b) -7\/3 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23482614.\nAnswer: 2, 3, 151, 25919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 928908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.106 and -0.5?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*w = -260, -4*w = 3*f + 2*f - 584. Suppose -8*j = -12*j + f. Let o be 0 - 1\/(0 - 4\/80). What is the highest common divisor of j and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-8) - -3*2\/(-24). Solve -m = -k - z, -4*k + k = -9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s - 65*s - 21*s)*(-10*s**2 + 11*s**2 - 11*s**2).\nAnswer: 690*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145 + 19. Suppose 6*q - 37 = 47. Let r = q - y. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1575309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0 - 1\/12*a**4 + 0*a - 1\/2*a**3 - a**2. Let l(o) = 4*o + 5. Determine -5*g(v) - 3*l(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 280\/(-294) - (-2)\/3. Let q be 3\/52*7 - 510\/3315. What is the nearest to q in 5, a, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-6)*-4 - -10. Let m be ((-2)\/4)\/((-1)\/2). Suppose w - 1 = 0, m + r = l + 5*w. Calculate the remainder when 22 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510398 is divided by 320.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2*j + 3 + 1)*(2*j**3 - 4*j**3 + 4*j**3).\nAnswer: 4*j**4 + 38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.29 - 0.09. Let t = n - 0.3. Let d be (-12)\/8*4\/(-30). Is t greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -17, 3 in increasing order.\nAnswer: -17, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 75, 151, 251, 387, 571, 815, 1131, 1531?\n\"Answer: 2*n**3 + 62*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.86833+-0.1\nAnswer: 9.76833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 263372 - -59.852239.\nAnswer: 263431.852239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4063, -2043, -25, 1991?\nAnswer: 4005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.9502ml in litres?\nAnswer: 0.4929502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5159489 divided by -2\nAnswer: 5159489\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 71*w + 1491. Let g be a(-21). Solve 17*u - 19*u - 6 = g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592*g + 14 = 4*q - 593*g, -2*q + 3*g = -22. Factor 4\/7*a**q + 0 + 4\/7*a.\nAnswer: 4*a*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l. Let z(w) = 5*w + 11*w + 7*w - 4*w**2 - 21*w. Give x(z(d)).\nAnswer: -20*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 41 = 35. What is the second biggest value in -0.03, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 427 + -91. Suppose q = x - 3. Suppose q = 13*z + 138. Calculate the least common multiple of 30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28402, 5, -0.3, -4, -1, 2\/3.\nAnswer: -4, -1, -0.3, 2\/3, 5, 28402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 3:51 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*d, 0*i + 3*i = -2*d + 11. What is the remainder when 84 is divided by i\/((-108)\/(-102) + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let l(o) = -2653*o**2 + 1. Give l(z(n)).\nAnswer: -10612*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 5*k - 3. Let s be q(-4). Calculate the common denominator of -3*s\/((-54)\/417) and -13\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 21 = y + 4*y, 3*b = -2*y + 3. Suppose -q - 6740 = -y*q. Find the common denominator of 115\/6 and 0 + (-3)\/(-15) + q\/(-240).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289*v**2 + 35904 - 35904)*(-6 + 4 + 3)*(-4*v + 120 - 120).\nAnswer: 1156*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2008 and 28372?\nAnswer: 14242744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 10 - 3)*(16*p**4 - 3*p**3 - p**3 - 15*p**4) to the form j*p**2 + w + u*p**4 + n*p + f*p**3 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.37 - 0.03. Let j be (-2)\/9*6\/(-4). Let x = 3 - 2.8. Which is the nearest to j? (a) 0.3 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 77*l + 1050 = 0. Let s = -118 - -130. Solve -l = -6*c - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:49 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 28. Let o = -75 - -90. What is the remainder when v + 0 - (-1 + 1) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 3. Let b be s(4). Which is smaller: 2\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9065*q + 4351201. Determine i(-480).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 63\/2*b**2 + 12*b - 13. Is j(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + -6)\/6 + -592. Find the common denominator of 137\/18 and (y\/18)\/(-4)*168\/112.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 66077, 4, 2, -5 in ascending order.\nAnswer: -5, 2, 4, 5, 66077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 3*g + 3*g + 0*g - 2*g + g + (0*g + 0*g - g)*(4 - 5 - 1) - g - 3*g - g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/43, -460\/27 in ascending order.\nAnswer: -460\/27, -2\/43, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102.025 and -17.67.\nAnswer: 1802.78175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/26*282\/3. Let k(w) = u*w - 61*w + 34*w. Let b(q) = 8*q. Give 12*b(m) - 5*k(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2. Suppose 7*o = 2*o + i + 11, o - 3 = i. Let l(r) = 4 + 5*r**o - 13*r**2 + 0*r**2 + 6*r**2. Give g(l(t)).\nAnswer: -8*t**4 + 32*t**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 19 = -m, -p + 4*m + m = -5. Suppose 4*k = -75 - 173. Let u = -61 - k. Calculate the lowest common multiple of p and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 59.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3086018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/342 and 95\/27228.\nAnswer: 1551996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 59 = -4*w - 58, 0 = -w + 185*i - 317*i - 423 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-10) - 6\/(-5). Let o(f) = f**3 + 5*f**2 - 7*f - 10. Let w be o(-6). Sort -2, l, w in ascending order.\nAnswer: w, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddlloldddolddd. Give prob of sequence ll.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3 (c) -0.2 (d) 4 (e) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897.5447s in hours?\nAnswer: 0.52709575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-20)\/(-1208)) + (-2)\/5?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, -23, 3, 5 in decreasing order.\nAnswer: 5, 3, -1, -23, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151\/3 - 51. Sort -2\/13, h, -2 in descending order.\nAnswer: -2\/13, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4593, 5438, 6279, 7116, 7949, 8778?\n\"Answer: -2*w**2 + 851*w + 3744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:50 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(675\/580)*(-3168)\/(-2112)?\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -243.\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwwdwwwwd. What is prob of picking 1 d and 2 w?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848\/5*l - 34 + 6\/5*l**4 - 236*l**2 - 496\/5*l**3 = 0.\nAnswer: -1, -1\/3, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + -3.7. Let m = q - -10. Which is the closest to -1? (a) -2 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:17 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - -46) + 49 - -2?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/4930300 and 151\/14790900.\nAnswer: 14790900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16037 and 41503.\nAnswer: 95083373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 5*t - t + (-1 + 6 - 3)*(-1 + 2*t + 1) + (5*t - 2*t + t)*(-3 + 1 - 1).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(1\/24). Let b(u) = 2*u**2 - u + 2. Let c be b(1). Suppose s - c - w = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 2. Suppose 0 = -s - 0 - 5. Let g be q(s). Solve 2*r = 4*l + 14, 5*l - g*r + 2 + 18 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 523583.5 decades?\nAnswer: 5235835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:46 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < 6\/1957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24161\/126 + -1373\/7. Let m = 5260\/7 - 89147\/119. Let j = m + -909\/374. Find the common denominator of j and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/(5\/(100\/24)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6911 is divided by 982?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87166?\nAnswer: 2, 41, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-510)\/(-68)*(-1)\/9?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 15. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**7\/840 - i**6\/120 - i**5\/60 - i**4\/4 - 23*i**3\/6 + 24*i. Let x(a) be the second derivative of h(a). Give x(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-13)\/(w\/w**(3\/8)*w\/(w*w*w\/(w\/(w\/(w*w**(-1\/2)))))*w)*(w\/(w\/(w\/w**(-4))*w)*w**11\/w)**(-30) assuming w is positive.\nAnswer: w**(-3465\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z - 15. Let f be g(11). Let s = -49 - f. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 6*c**2 - c - 7. What is the remainder when o(-5) is divided by (-1)\/(-1 + (-24)\/(-26))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 13*b**2 - 5*b + 6. Suppose 3*w - 8 - 4 = 0. Suppose w*c = -5*m + 9, -4*c + 3*m + 10 + 23 = 0. List the prime factors of x(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let w = -1 - -1.2. Which is the closest to w? (a) -0.2 (b) k (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604907399.\nAnswer: 41, 14753839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 30. Suppose n + 21 = 1. Let t be n\/k*(-3)\/10. Which is the smallest value? (a) t (b) 1\/12 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b6a + cc7?\nAnswer: -3ea3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 3664*b**3\/3 + 7923*b. Let n(z) = z**2. What is n(k(m))?\nAnswer: 53699584*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5769, 45451, 153171, 362949, 708805, 1224759, 1944831?\nAnswer: 2903041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122004102*z**4 + 2*z**2 + 4718*z + 590?\nAnswer: -2928098448*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75\/2102 or -1?\nAnswer: -75\/2102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 - 797*r**2 + 243*r - 37923. Give v(-160).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q - 4 + q)*(8*q**3 - 8 + 8) - 3*q**4 + q**4 + 0*q**4 + (0*q + 0*q - q)*(2*q**2 - 2*q**3 - 2*q**2) + 4*q**4 - 3*q**4 + 0*q**4.\nAnswer: 9*q**4 - 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 428 and 74805733.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*u + a, 4*u = 5*a - 41 + 141. Let q be (5\/u*0)\/((-16)\/8). Solve 19 = 3*n + 2*n + l, 5*l - 20 = q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7145741274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.81037225 or -0.1?\nAnswer: -0.81037225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -378.4 - 39.6. Let f = -417.8 - u. What is the closest to -5 in -4, f, -1\/4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/(h\/h**(-19))))\/h*h**(-1\/2)\/h)\/(h**(-6))**1)**(2\/5) assuming h is positive.\nAnswer: h**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1575) + (sqrt(1575) - 2*sqrt(1575)))**2 + sqrt(1575)) + 3.\nAnswer: -60*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 519769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 23*s - 18. Give w(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 4 in descending order.\nAnswer: 7, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 34*k**2 + 46*k - 392. Give d(35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0399321 - -1.\nAnswer: 1.0399321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -84407 divided by -303\nAnswer: 84407\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29 and 64\/33 - (-3)\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) 1092 (c) 34 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 1468*r**2 + 21176*r + 19712.\nAnswer: 4*(r + 1)*(r + 14)*(r + 352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-15))\/(9\/(-27)))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1291 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125\/3 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2 - 1) + (30 - 28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -259, 4, -21\/4, 9\/55 in decreasing order.\nAnswer: 4, 9\/55, -1\/5, -21\/4, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3\/4, -1.1, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = v. Sort -4, v, 1 in descending order.\nAnswer: v, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9980\/57 + 175. Are 0 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 77 = -5*g - 44, g + 3*r = -7 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {n: 4, x: 6}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/7)*f*f**21)\/(f*f\/(f**(-2\/61)\/f*f)*f*f*f\/((f\/(f\/(f*f**(2\/23))))\/f*f)))**(-14) assuming f is positive.\nAnswer: f**(-371456\/1403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*g + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1104 = 3*i, -y - 3*y - i + 1484 = 0. Let u = y - 235. What are the prime factors of u?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11 + 58*11\/66 and 91\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -0.5 (c) -1 (d) -140\/11 (e) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)\/(m**(-3\/2)\/m))**(-1\/13)*(m\/m**(-2))\/(m**(-6\/7)\/m)*m*m*m*m\/((m*m\/m**5*m)\/m)*m*m**(-1\/2) assuming m is positive.\nAnswer: m**(3293\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {l: 1, s: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottltoltlttl. Give prob of picking 2 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m - m)*(-19*m**3 - 21*m**3 + 27*m**3).\nAnswer: -13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 610 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 8*a + 6 + 5. Let s = -66 + 150. Calculate the lowest common multiple of a and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17))**2*-2 - (sqrt(102)\/sqrt(6) + 1)) + ((-1*(-2*sqrt(17) + sqrt(17)))**2 - (sqrt(68)\/sqrt(4))**2*5).\nAnswer: -105 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 268672\nAnswer: 35\/134336","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.2 - 10. Let p = 17.2 - n. Let d = 23 - p. What is the closest to 0.2 in -2, 4\/3, d?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95283 is divided by 437?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.1 (c) -2\/55 (d) 3\/7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(112\/15)*(-1372)\/(-1960).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + p + 174 = 0, -p - 128 = -3*k + p. Suppose -3*o + 39 - 6 = 0. What is the highest common factor of k and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -6. Sort p, 4, -6, -1 in decreasing order.\nAnswer: p, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -35\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -14664*q + 102326. Determine j(7).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7936299?\nAnswer: 3, 7, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 + 2)*(-3*g + 3*g + 2*g) + 2*g + 3 - 3 - 2*g + 7*g + 3*g)*(3*g**2 - 2*g**2 - 4*g**2 + (0 - 1 + 2)*(-2*g**2 - 1 + 1) - 3*g**2 - 3*g + 3*g).\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 6:34 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/8622 and 95\/18.\nAnswer: 8622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 294*p + 653*p - 13*p - 171*p to v*p + w and give v.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = r + 2. Solve 5*q = 22 - r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18571523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - 4 - (0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 0, -2*g - 21 = -h - 0*h. Solve -2*f = -2*i, -2*f - 7*i + 2*i - h = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 greater than or equal to -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((8 - 89) + 4 - 17)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -5*h**4\/24 + h**3\/2 - 14*h**2. Let a(c) = -14*c + 8. Let q(r) = -3*a(r) + 8*l(r). Let k(y) = -5*y**2. Calculate k(q(o)).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 - 2 + 2*t**4 + 7*t**2 - t**3 + 3*t**3 - 3*t**3 to the form m + h*t**3 + l*t**4 + d*t**2 + u*t and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Suppose 0 = -j - 4*i + 25, 0 = -0*j - n*j + 4*i - 10. Let w be 4\/(-18) - (-2)\/9. Solve j*l + d + 13 = 0, d + 3*d - 8 = w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1732b44 + 0?\nAnswer: -1732b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22948.95746 rounded to the nearest integer?\nAnswer: 22949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 11 - (5 - (-4 + 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*l - 12. Let h(g) = g**l - 2*g**2 - 6 + 2*g - g**2 + g**2. Let q(y) = -y. Let z(p) = h(p) - 5*q(p). Give z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 14, 1, 4, -21, 166 in decreasing order.\nAnswer: 166, 14, 4, 1, -1, -2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:04 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r\/(r\/(r*r\/(r\/((r**(2\/7)\/r)\/r))*r))))\/(r*r**(-6\/5))*(r*r*r\/(r\/(r\/r**2*r))*r)\/r**0 assuming r is positive.\nAnswer: r**(137\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4056460*k**3*u**2 - 2*k**3*u - 31*k**3 + 8491 wrt u.\nAnswer: 8112920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -6. Suppose 2*k - 4*k = -2*x + 4, 3*x - s = 5*k. Suppose -6*l + l = 2*z - 11, -5*z + k*l = -42. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 248. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 3:20 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2816*g + 123. What are the prime factors of n(-6)?\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*n**2 - 139*n**2 - 4*n**3 + 65*n**2)*(4*n**2 - 7*n**2 + 2*n**2).\nAnswer: 4*n**5 - n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -9, -2, 50342 in increasing order.\nAnswer: -9, -6, -2, -1, 50342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, 25, -4.\nAnswer: -4, 25, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**3 - 7*u**2 + 11*u - 475. Let w(k) = -6*k**3 - 8*k**2 + 13*k - 475. Let q(m) = 6*w(m) - 7*z(m). What is the tens digit of q(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -27779 (c) -491\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*q - 1770, 0 = -u - q - 407 - 36. Let t = u + 598. Let w = 177 - 125. Calculate the highest common factor of t and w.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 + 6\/35. Let v(y) = -y**2 + 7*y - 5. Let c be v(6). Let w = -1 + c. Is w > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 + -6)\/(2\/2). Let k(a) = -2*a - 7. Let g(p) = 5*p + 14. Let z(w) = -3*g(w) - 7*k(w). Determine z(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.22 and -0.7303?\nAnswer: -0.160666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 523*b - 11002. Determine l(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -10. Suppose -b + 1 = -p. Suppose 0 = n + p*n + 65. Let c(g) = -7*g**2 + 6. Let f(s) = 15*s**2 - 13. Determine n*c(y) - 6*f(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 312426498 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-124)\/682 + (1 - 158\/(-22)). What is the nearest to 1\/2 in o, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + -0.2. Let k = n - 1.2. Let o = -0.6 + -2.4. Which is the nearest to 1\/4? (a) k (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 750 = -2474. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462837 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*d - 27*d**3 + 12 - 285*d - 12 + 32*d.\nAnswer: -27*d**3 - 791*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -337, -1211, -2645, -4621, -7121?\nAnswer: -10127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v**3\/7 + 156*v**2\/7 - 6630*v\/7 + 924 = 0.\nAnswer: -49, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2 = -3*r, -11 + 3 = -2*y + 2*r. Suppose -y*a = -10, q + 4*q = 2*a + 11145. Suppose d = 2*c - q, -5*c + 5*d = d - 5573. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 + 2143*q**4 + 1527232*q**3 + 359380448*q**2 - 1829156608*q + 1468246784.\nAnswer: (q - 4)*(q - 1)*(q + 716)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1791*5.\nAnswer: 8955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32740913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802408 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 16 (b) 2\/5 (c) -3\/7 (d) 10 (e) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, k: 2, a: 4, h: 1, y: 6}. Give prob of picking 2 a and 2 i.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59 or 113185?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3 (b) 1 (c) -2\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 - -2.3. Let t = -840 + 842. Let r be 15\/90 + (-2)\/(-4). Which is the nearest to p? (a) 4\/9 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-3)*(391\/(-19057))\/23. Are 0.2 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0, 14, -3, 1\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -3*r - 22*r. Which is the second biggest value? (a) 57 (b) 0 (c) r (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.59320894 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:01 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(1617) + (sqrt(1617) - 2*sqrt(1617)))*-2)\/(2*sqrt(11)*-3 - sqrt(33)\/sqrt(3)*-3))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 30 = -5069*v + 5067*v, -3*v = -q + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136740 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:30 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x**3 + 41*x**3 - 8*x**2 + 8*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68)*-2 - 2*-1*sqrt(68))\/((sqrt(4)*3 - sqrt(4))*-3 - -2*(sqrt(4)*2 - sqrt(4) - sqrt(4)))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = -f, -5*f = 4*c - 0*f - 31. Suppose 4*j = 5*s + 3 - 2, -s = -3*j + c. Suppose -s*v = -6*v + 177. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 15) to base 16.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4 = -14*b + 19*b, -5*x + 10 = 17*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -59749.61 times -0.169\nAnswer: 10097.68409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121858 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -41*(-938)\/(-19229)*2\/(-4)*-97\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, 273 in descending order.\nAnswer: 273, 14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2 + 2)\/1)\/1. Is (1 + 2 - c) + 86 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/50 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568 + 184 + 253 + n + 202 + 202.\nAnswer: n + 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.743313 centuries?\nAnswer: 0.0743313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2741*t**2 - 23 + 24 + 6*t - 4*t - t. Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 4*g - 13. Let y = 51 + -48. Let p be 0 + y - (0 - (-1 - -2)). Let a(h) = -h**2 + 2*h - 6. Calculate p*l(i) - 9*a(i).\nAnswer: i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165 at most -2377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53072, 52946, 52846, 52778, 52748?\nAnswer: 52762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1185 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106524 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1.2 (b) -0.7 (c) -558\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6\/43, 1\/2, 1\/7?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 1, 27, 4.2, -0.05 in descending order.\nAnswer: 83, 27, 4.2, 1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -289127*h - 2602327. Calculate z(-9).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 29741\nAnswer: -4\/29741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -494707.\nAnswer: -494707.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = -6*s + 31. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-37732)\/(-6)*(-4)\/16. Let w = 12483\/8 + r. Let i = w - -35\/3. Calculate the common denominator of i and 95\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 20*f + f + 6*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 p when three letters picked without replacement from nxphb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 855, 1708, 2561, 3414, 4267?\n\"Answer: 853*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 3*m + 11. What is the remainder when 36 is divided by w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-42))\/((-4)\/(-70)). What are the prime factors of 279 + ((-20)\/(n\/(-3)) - 1)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 2*y**5\/5 - 35*y**4 - 52*y**3 + 193. Find the third derivative of x(g) wrt g.\nAnswer: 48*g - 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23490359 and 8407?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-21)*-3 + 272\/(-2380)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -533 or -532?\nAnswer: -533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-8))\/((-5)\/4)*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64152034.\nAnswer: 2, 4001, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -234*n**2 - 60*n + 65. Determine u(1).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/8 + 22\/56 and 1 + -4 - (-130)\/18?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(9\/(-44)) - 12\/18 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41035*d**3 - d + 0*d**2 - d + 41033*d**3 - 2*d**2 - 1174 as q*d**2 + o*d + h*d**3 + s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82166 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7057, 6252, 5445, 4636, 3825, 3012?\nAnswer: 2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 345 - 125. Let r = -207 + f. Solve 4*u - u = 2*p + r, 2*p = -3*u - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by 4.\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/219611, -8\/7, -4 in decreasing order.\nAnswer: -13\/219611, -8\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1158 and 6172526.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -61*c**6\/120 + c**5\/30 + 7*c**4\/12 + 11*c**2. Find the third derivative of f(q) wrt q.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = -5*o, 4*o - 6 = -0*o + 2*h. Let u be (o + -2 - -21) + -3. Solve 0 = -5*p - u - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5498)\/(-16) + 1 - (-28)\/896*12. Calculate the greatest common factor of 1150 and h.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.2692776 to 2 decimal places.\nAnswer: -115.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 4 - ((2 + -4 - -7) + -19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.168 - -0.15. Let u = p + 0.01800059. What is u rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-198)\/36)\/11)\/((-2)\/(-32))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - 58 - ((-1 - 2) + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*4\/42*128\/(-120). Let j = 2\/105 + d. Let s = -27 + 26.5. What is the closest to j in 2\/13, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -3 - 0) + 2 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 4. Let n(u) = 17*u**2. Determine n(k(y)).\nAnswer: 68*y**4 + 272*y**2 + 272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 109*b + 1044. Calculate s(-11).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42199576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - ((-14 - 8) + 15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a9 + -1?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 96. Suppose -17 + 17 = o*v. Which is the nearest to v? (a) 6 (b) -1 (c) -7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542341753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -2.56.\nAnswer: 0.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124215 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310317 is divided by 187187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*m - 117 = 65*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 15 - 7\/2*v**2 + 4*v + 1\/3*v**3. What is the units digit of s(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2299) + -2.\nAnswer: -11*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -36*p - 19. Let w be q(-7). Suppose 1333 + 317 = 5*d. Let o = d - w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 9*(-3)\/((-9)\/37)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 16) + 7 - -1 - 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 24. Let a = 14 - k. Which is smaller: -7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42199459319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = -41. Let l = -68 + 90. Calculate the remainder when s is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -214, -389, -584, -805?\nAnswer: -1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -279, -271, -259, -243, -223, -199?\n\"Answer: 2*w**2 + 2*w - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvf when three letters picked without replacement from {v: 10, f: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {x: 2, j: 1, z: 1, t: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 18. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -3 + 6 + 9 + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805491.4 kilometers to nanometers.\nAnswer: 805491400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 21*i - 26*i. Is 17770\/(-640)*-8 - (-2)\/i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 61 + (-3 - (-4 + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195645 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2779 - 8621 = -6*m. Suppose 4*y + 2*v = m, -y + 106 + 362 = 4*v. Is y a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4008931 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 - n**2 + n - 1. Let l be o(1). Let d be -2*l\/(2 - 3). Calculate the greatest common factor of 54 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b - 5*b - 2*b)*(-1284*b + 300*b - 2482*b)*(2*b**2 + 0*b**2 - b**2) as v*b**3 + m*b**2 + q + t*b**4 + s*b and give t.\nAnswer: 3466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1875320, 1875324, 1875328, 1875332, 1875336?\n\"Answer: 4*d + 1875316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 434085.2 litres?\nAnswer: 434085200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -9, 2, -275 in decreasing order.\nAnswer: 2, 0, -3, -9, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000026361 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o + 23. Let w(l) = 32*l - 68. Let p(t) = 4*w(t) + 11*z(t). What is the tens digit of p(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24423*w**3 - 45027*w**2.\nAnswer: -146538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130634 and 174064?\nAnswer: 264403216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174060, -174576, -175094, -175614, -176136, -176660?\nAnswer: -177186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 10 = -9*s. Suppose s*y = 127 - 49. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82023 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-1 + -1)*1. Let f be (-6)\/2 - -2*y. Which is greater: -4\/11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26997 - 51093. Let x = c - -24096.00599996. Let f = x - 0.006. Round f to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -698, -788, -910, -1070, -1274, -1528, -1838, -2210?\n\"Answer: -f**3 - 10*f**2 - 53*f - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-26 - -8) - ((1 - -4) + -6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115062551 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**3 - 933*j**2 - 472*j + 613. Give z(156).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7415 or -1?\nAnswer: -2\/7415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53644650 divided by 17881550?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3565385?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 41) + 37 - (0 + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 11:14 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 45*p**2 - 1. Let f(m) be the third derivative of 0*m + 0*m**3 - 1\/12*m**4 + 0 - 8*m**2. Give t(f(k)).\nAnswer: 180*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 5. Let y be r(-5). Let d = y - -7. Factor 4*q**2 + 8*q - 5*q - d*q.\nAnswer: 4*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*s*v**3 - 4018146*s*v**2 - s - 586*v**3 - v**2 - 110951 wrt s?\nAnswer: 19*v**3 - 4018146*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55)*-2)\/(sqrt(11) + 2*sqrt(11)*-1).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.73, 29, 0.3 in decreasing order.\nAnswer: 29, 0.3, -0.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(128)*-1 + 2)**2.\nAnswer: -132 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -76 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-304)\/(-32))*(-6)\/45.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8410737 - -283.8422037. Let z = 283 - a. Round z to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(-42*w**3 + 42*w**3 + w**4 + 20*w**2).\nAnswer: 2*w**4 + 40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - -58 - ((-737)\/(-10) + (8 - 847\/110))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u - 15. Suppose q = 6 - u. Let j = 8 + 0. Calculate the remainder when j is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 3. Suppose -u*n = -3*a - 38 - 112, n - 32 = -2*a. Find the common denominator of ((-2)\/n)\/(2\/(-231)) and 133\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1366256294\/7 bigger than -195179472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1224 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 onboououubng. Give prob of picking 1 g and 1 n.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58730 is divided by 29353?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 86 - 67. Suppose -2068 = -55*h + q*h. Does 54 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(1 - -1)*4. Suppose -5*p + n + 8036 = -n, -3*p - 3*n = -4830. Suppose -4*t + 0*s + 1620 = -2*s, 0 = -l*t - s + p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - -34 - (0 + -1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 101*m + 1 - 315*m - 6 to the form j + h*m and give h.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 3*v. Suppose -2 = -p - v*d, -5*p + 2*d = -3*d + 50. What is the remainder when 25 is divided by 26\/(-1)*3\/p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/49, 5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*f - 8 - 12, 4*a - 4*f - 32 = 0. Let o(d) = d**2 - d. Let h be o(2). Let y be ((-2)\/(-4))\/((-1)\/(-4)). Solve -y*r = -h + a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 3) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2)*q)**1)**(2\/23) assuming q is positive.\nAnswer: q**(3\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37185009, 37185007, 37185005, 37185003?\n\"Answer: -2*a + 37185011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 + 25506*j - 6780264\/7.\nAnswer: -3*(j - 59476)*(j - 38)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 1, a: 1, m: 1, g: 1}. What is prob of picking 1 v, 1 a, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2 - 38*h + 3*h**2 + 131*h - 47*h - 40*h + 2. Let s(n) = -2*n**2 - 3*n - 2. Let o = -18 - -13. What is o*s(i) - 3*l(i)?\nAnswer: i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*c + 29685 - 29295 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -8 - (46 - (69 + -9))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 + 46*z - 3*z**2 - 41*z + (2*z - 2*z - 3*z)*(-3*z + 6*z - 2*z))*(-z + 3*z - 4*z - 2*z - 4 + 4 + (2 + 3 - 4)*(-7*z + 3*z + 3*z) + z - 3*z + 0*z).\nAnswer: 63*z**3 - 35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/28 and 8\/535537.\nAnswer: 14995036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 44*y**3 - 8*y**2 - 2*y. Let r(s) = 44*s**3 - 6*s**2 - s. Give -3*r(l) + 2*z(l).\nAnswer: -44*l**3 + 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from rorkrkrrokk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*f + 42, -603*f + 1214*f - 610*f - 44*j - 315 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 7. Let q = -0.8 - -0.2. Let l = -5.6 - q. What is the closest to 1 in l, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 4*x. Let y(q) = q**3 + 2*q**2 - q + 1. Let d(w) = w + 1. Let r be d(-3). Let u be y(r). What is the units digit of f(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 5)*(-3 + 1 + 1)*((-4*b + b + 2*b)*(3 - 3 + 2*b) - 366 + 4*b**2 + 366 - b**2 - b**2 - 2*b**2) in the form z*b + l + y*b**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189.\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1349820*g**2 + 1487290*g?\nAnswer: -2699640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, 3, 213, 659, 1431?\nAnswer: 2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + 5*n, -5*p - n - n = -86. Solve 5*o + c = p, -5*c = -3*o + 5 + 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 + 8*w - 4. Let v(l) = -4*l**2 + 6*l - 3. Let n(h) = -5*k(h) + 6*v(h). Let z be 2*(1 + -1 - -1). Let c = z + 1. What is n(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 26*c**2 + 25*c - 55. Give d(25).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 1, f: 1, x: 1}. What is prob of sequence xfc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, g: 4, y: 2, n: 5}. What is prob of sequence gc?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 16*f**2 - 12*f - 66. Determine l(15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -105, -175, -255, -345?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/(1\/(-1)). What is the biggest value in 0.04, 1\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l + 55*l**3 - 27*l**3 - 6*l - 8*l**3 - 15*l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-57131)\/(-7) + (2 + 4 - 234\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, q: 5, s: 1, b: 1, a: 4, n: 4}. What is prob of picking 3 u and 1 q?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 8\/3, 2\/7, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 9*w**2 - 4*w + 7. Let n(i) = 4*i**3 - 35*i**2 - 17*i + 27. Let v(u) = 2*n(u) - 9*p(u). Let b be v(8). List the prime factors of b\/6 + (-3)\/18.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**3 + 36 - 36)*(-o - 2 + 2).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/(402\/(-60) + 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, 15, -2.5, 0.3?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44877082 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4004 = -3*q + 2*z + 2300, 0 = 3*q - z - 6305. Suppose -8*r = -q - 1826. Is r 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 3:39 PM and 1:12 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**4 + 36*n**3 - 162*n**2 + 324*n - 243.\nAnswer: -3*(n - 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -678 + 678. Suppose f = -12*z + 132 - 144. Let g = -599 - -3583\/6. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z + 2. Let f(m) = m. Give f(t(j)).\nAnswer: -11*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**3*l**2 - 595*h**2*l**2 + 763*h*l - 2*l**2 wrt h?\nAnswer: -12*h*l**2 - 1190*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 4 = 2*a, -394*a + 2*m + 25 = -391*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6) + 3 - ((2*sqrt(448))**2 - sqrt(448) - sqrt(448)))*-3 + (1 + (sqrt(700) + 1 + sqrt(700))*-2)**2*6.\nAnswer: 429*sqrt(7) + 72573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 c when four letters picked without replacement from kcckcc.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10777.\nAnswer: 13, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126.1 + -125.8. Which is the nearest to 0? (a) w (b) 116 (c) -2\/5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -683, -1366, -2049, -2732, -3415, -4098?\n\"Answer: -683*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*x - 2*g - 6, -6 = -2*x + g. Suppose t = -x + 1. Let l(w) = w**2 + 3. Let a(c) = c**2 + 2. Let m(k) = -5*a(k) + 4*l(k). Give m(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 8. Let g be k(8). Let z = g - 8. Suppose -f = -z*f - 11. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Suppose 4 = -3*i + 19. Suppose -i*m + 13 = -4*h - 30, -a*h = -6. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 24 = -13*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42*((-8)\/(-112) + (-3)\/(-6)). What is the greatest common factor of k and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441606732 divided by 17716\nAnswer: 24927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2979.9387ms?\nAnswer: 0.00003449003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 11*i - 14. Let v be g(10). Let b be v*(3 - 45\/12). Let z(q) be the second derivative of q**4\/12 - q**3\/2 - 2*q**2 + q. Give z(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2081 - 2663.8. Let j = s + 536. Let v = 57 + j. Round v to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/(-7) - -4) + (-2)\/14. Let p(n) = -1 + 30404*n**2 - n**3 - v*n**3 - 30402*n**2. Give p(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212791487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277816 at least as big as 1277816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 2979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3382.68 to the nearest one hundred.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*o + 2 = 23, 2*o + 12 = -4*h. Calculate the remainder when 96 is divided by (33 - 34)*(-52 + h).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:17 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299572 (base 11) in base 4?\nAnswer: 33102322320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 9*o. Suppose o = -5*q - 2*i + 9 + 34, -5*q + i + 31 = 0. What is the greatest common divisor of 21 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 48. Let l be q(17). Suppose -l*x = 2*f - 2432, -10*f - x + 1215 = -9*f. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 + 38*g + 1. Let u(b) = b**2 + 13*b. Let a(p) = 4*o(p) - 11*u(p). Let j be a(-9). Solve m = -j*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-2) - (8 + -4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 639*c**2*j + 131*j wrt c.\nAnswer: 1278*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -54. Suppose 2*p = p + g, 4*y - 4 = 4*p. Suppose y*q - 18 = -0*q. What is the remainder when 15 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161310 and 2192118.\nAnswer: 1698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (14\/(-4) + -11 - 3).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10818 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**5\/2 - t**4\/4 - 14*t. Find the third derivative of i(h) wrt h.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) -4\/53 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 6240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 438*f + 2588. Let t be w(-6). Which is the closest to 2\/3? (a) t (b) 10 (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -2 + 9 + -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one halves of a microgram?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 75. Find the common denominator of 37\/20 and (2\/i)\/(1052\/356 - 3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*k + 3*s, 2*s = -2*k + k - 13. Let a be -23 - (8\/(-4) + 0). Let q = k - a. What is the remainder when 22 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270578, -541134, -811704, -1082294, -1352910?\nAnswer: -1623558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(9\/(-66))\/((-150)\/275).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-73 + 32)) + (12 - -1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*r = -9698152 + 5872215 - 7931016. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 279*p**2 - 436.\nAnswer: 558*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 7*x**5 + 239*x**4\/4 - 4909*x**3\/2 + 43691*x**2\/4 + 6385*x + 875 = 0?\nAnswer: -25, -2\/7, -1\/4, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 4*z - 25 = 0. Suppose 0 = -2*k + 4*v - 2*v - 2, -13 = -z*k - v. What is the second derivative of 2*t**2 - 3*t**2 + t - 5*t**k + 3*t**2 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 707 + -709. Let j = -31.6 + 32.6. Which is the closest to p? (a) -3 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(36)\/(sqrt(36)\/sqrt(3)) + (sqrt(6)\/sqrt(2) + sqrt(3))*-3 + (sqrt(3) + sqrt(9)\/sqrt(3))*-1 + 1))**2.\nAnswer: -224*sqrt(3) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {g: 3, f: 1, b: 1, a: 1, m: 5, p: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 42*q + 20*q = 10. Let n(s) = s**3 + 3*s**2 - 7*s - 9. Give n(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 at least as big as 744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*-1)\/sqrt(6))**2 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56274388 equal to 56274389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**5\/120 + 11*x**4\/4 + 363*x**3 + 23958*x**2 + 93*x + 2. Factor k(i).\nAnswer: (i + 66)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k + 6. Suppose -k*q + 5*t = -42000025, t + 42000005 = 5*q - 0*t. What is q rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*14\/(-175)*(-2)\/(-4)*-20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiei when four letters picked without replacement from iciiiiieiieeecuue?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -218\/1947 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 0*z - 3*i - 39 = 0, 0 = 7*z - 3*i + 170 - 143 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12237 + -3?\nAnswer: 12234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/18 - (-200)\/72. Suppose i*m + 5 = d, -d + 10 = m + d. Suppose -3*q = -m*w - 4*w + 437, 5*q = 25. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 5*z + 0*z + (3 - 3 - 2*z)*(3 + 0 + 1) + 4*z - 3*z - 2*z - z + 5*z - 2*z)*(-101 + 8 - 24 - 27).\nAnswer: 1296*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*u + 1651, 3*r + 1659 = 4*r + 5*u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59\/(-4))\/(5\/8*(-50)\/(-125)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 6*b + 6. Let d(p) = p**3 + 4*p**2 + 5*p + 1. Let y be d(-2). Let z(t) = t**2 - t + 1. Let m(a) = y*s(a) + 6*z(a). Let m(w) = 0. Calculate w.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12898000 to the nearest one hundred thousand.\nAnswer: 12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6334, 6323, 6296, 6247, 6170, 6059?\n\"Answer: -t**3 - 2*t**2 + 2*t + 6335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024\/861 equal to -676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 7. Suppose -3*n - n = -4*z + 52, -l*z + 21 = 3*n. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 8*w**2 - 1034*w + 8084. Determine l(8).\nAnswer: -1724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.2, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 872508 divided by 102\nAnswer: 8554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1116)\/(-81) - 56\/4. Sort 11, l, 0.2, 1 in ascending order.\nAnswer: l, 0.2, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -2*t. Suppose 0 = t*u - 6*u + 28. Let r be (6 - 3)*7\/3. What is the greatest common divisor of u and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u + 7. Let f be d(12). What is f rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 215\/25 - (-6)\/(-10). Is b\/12*(-339)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2350*58\/106632 + (-2)\/(-3). Let y = 2\/4443 + l. What is the common denominator of y and 67\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4052 (base 11) in base 14?\nAnswer: 1d65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-77 - 4)*1 - -4. Let p = w - -80. Solve 4 = -5*c - 2*r - 1, c = -p*r - 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-30)*c**(1\/4))\/(c**34*c\/(c\/c**(-37))) assuming c is positive.\nAnswer: c**(-107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/140 (b) -3\/17 (c) -4 (d) -2\/13 (e) -0.1 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*2 + 1 + 1*sqrt(208).\nAnswer: 1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 27 + 27 - q in the form h*q + y*q**2 + u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.27 + -5.27. Which is the second smallest value? (a) n (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 187*c**8\/336 + c**7\/105 + 389*c**5\/60 + 4*c**2 + 10. Find the third derivative of g(h) wrt h.\nAnswer: 11220*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 111?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8462 is divided by 110?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose 0 = 2*j - 2*h - 156, b*j + 5*h - 360 = -3*j. Suppose 17 = 2*p - j. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10 = 6. Suppose -4*v + r*k = -68, -59 = -4*v + 3*k - 2*k. Let l = -8 - -35. What is the remainder when l is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*n - 20. Suppose 5*o - 12 = 4*c, c + 2*o - n = -0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22159 is divided by 1473.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-12)*22\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2326 + -6.2326. What is the closest to -18 in 0.3, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67139?\nAnswer: 67139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19915209?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009684 + -1590?\nAnswer: -1590.009684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -98 + 98 + 2*i + i. Let k(r) be the second derivative of -43*r**3\/6 + 210*r. What is z(k(u))?\nAnswer: -129*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0.6, 582989 in descending order.\nAnswer: 582989, 0.6, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 11, f: 2, j: 6}. What is prob of sequence wwff?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9930782 and -0.01366.\nAnswer: -9930782.01366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*h - 2*u, -3*h - 8 = u + u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/11 (b) -3 (c) -25\/127 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700975763?\nAnswer: 1871, 374653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-30)*5\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/((j**1*j)\/j*j)*j)\/j))**(4\/43)\/(j**(-13)*j*j**(-7)) assuming j is positive.\nAnswer: j**(825\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**(2\/11)))\/(p**(2\/27)\/p*p)*(p**3)**(-11) assuming p is positive.\nAnswer: p**(-9472\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 24 = 5*p, -2*i + 16 = -8026*p + 8031*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 15145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44124102 - -4?\nAnswer: 44124111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-22)\/(-3))\/((-7)\/21). Let h(p) = -q*p + 41*p - 14*p. Let s(l) = -4*l**2 - l. What is s(h(z))?\nAnswer: -16*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5608*s + 4763*s - 10985 = 0 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 561\/16 - 35. Are i and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46002*r**3*y**5 + 2*r**3*y + 252*r**2*y - 5*r**2 + y wrt y.\nAnswer: 920040*r**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, 0, 3, 46, 161, -2.\nAnswer: -2, 0, 1, 3, 12, 46, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -70. Let z be (25 - 25)\/(x - -2). Let g be (-57)\/(-185) - 7\/35. Which is smaller: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 16 = 4*w. Let z(o) = -3*o**3 - 4*o + 2*o**2 + 4*o**3 + 3*o. Let v be z(w). Sort -12, v, 4 in ascending order.\nAnswer: -12, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-13 + 14))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -120, -242, -364, -486, -608?\n\"Answer: -122*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10 - 12 - 15943*p - 2959*p. Let y be g(-1). What is y rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hzzhhhhhhhhhh?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(sqrt(456)\/sqrt(12) - sqrt(38))\/sqrt(2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - -127?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-847)\/(-44))\/((-75)\/(-100))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162274 is divided by 1264.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 31 - 33, 0*t - 4*t - 6 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2. Let b(y) be the first derivative of 3*y**2\/2 - 4. Determine b(n(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 8 - 4 - 9 - 31*k**2 + 19 as l + s*k**2 + c*k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 836 take away -6.875?\nAnswer: 842.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 61*h**2\/2 + 1314. Let l(g) = 5*g**2. Determine l(n(d)).\nAnswer: 18605*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -165\/4 - -1823\/44. Let z = -44 + 134\/3. What is the nearest to -1\/3 in -5, u, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1755 divided by -5587.\nAnswer: 1755\/5587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**4\/2 - 4*y**3\/3 + 7*y**2\/2 - 9*y + 1. Suppose 14*x - 12*x - 8 = 0. What is the tens digit of s(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 569648 and 8117484.\nAnswer: 32469936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnncnuvqccnn. What is prob of sequence cn?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 85?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9759\/6680 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Product of 17.28827 and -0.9.\nAnswer: -15.559443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 7*z - z**2 - 2*z - 11*z in the form w + r*z**2 + s*z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 531 and 2284869.\nAnswer: 404421813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 21 = -5*l - u, 5*u - 1 = 3*l. Let i be 1\/(-4) + 2\/l. Suppose 3*h + n - 41 = i, -3 = 6*n - 3*n. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**4\/4 - 13*z**3\/3 + z**2\/2 - 9*z - 16. Let h be f(13). Suppose h*p + 32 = 2*j, 0 = j + p - 4*p - 15. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (672\/(-9))\/((-15)\/((-270)\/(-12))). What is the greatest common divisor of 112 and l?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -252.2999551 + 252.3. Round c to six decimal places.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34459 divided by 434\nAnswer: 34459\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + t - 9317, 216*a - 220*a - 3*t = -9319. List the prime factors of a.\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r**3 + 4*r**3 + 544 - 248 - 234 - 62.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 367\/6*z**4 + 0*z**3 + 0*z**2 + 93*z + 1. Let c(v) = v**2. Calculate c(l(m)).\nAnswer: 538756*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 124, 83, 34, -23?\n\"Answer: -4*y**2 - 29*y + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Suppose 0 = q*i + i + 12, -3*i = 2*t + 77. Let f = t + 112. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*l - 6 = 569*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2831 (base 10) to base 2\nAnswer: 101100001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/9 + 176*g\/9 - 179\/3 = 0. What is g?\nAnswer: -179, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1549*h**2. Let b(x) = -4027*x. What is g(b(v))?\nAnswer: 25119713221*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - w - 7 = -3*v, 3 = -3*v + 3*w. Suppose 4*b + 96 = c + 240, v*b + 3*c = 144. What is the highest common divisor of b and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l**2 - 7648*l + 2550 = 0. Calculate l.\nAnswer: -1275, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495404 is divided by 636?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:00 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 212 = -5*w, -4*w + 5*w - 224 = -2*v. Let s = v - 57. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -192*y - 1725. Let h be u(-9). Which is the smallest value? (a) h (b) 5 (c) -4\/5 (d) -5 (e) -574\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82839511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 129, -4, -267, -660, -1183, -1836?\nAnswer: -2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -129*k**2 + 104*k**2 - 3 + 1 - 213*k**2 + 0 as b + z*k + x*k**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27305*b**3 - 1293*b**2 - 8.\nAnswer: 163830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (5 + -6)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2533 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 4, -0.3, -373, -1 in increasing order.\nAnswer: -373, -1, -3\/7, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**2 + 13*p**2 + 15*p - 26*p**2 + 18. Let s be f(17). Let d be (-18)\/(-45) + s\/(-10). Solve d = 5*i - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by 4.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1695358 equal to -1695350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/2*((-12)\/(-7))\/(-1). Suppose o = 2*d - 8*d. What is the closest to 0.1 in -1, d, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -3*z**5\/35 + 36*z**4\/7 - 576*z**3\/7 - 1718. Factor v(n).\nAnswer: -3*n**2*(n - 24)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.91 - 1.709. Let b = x - 0.20099838. What is b rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 39)\/((-3)\/(-18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205 is divided by 171?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwdjmxqwjdm. Give prob of sequence wxj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.78 - 6.2. Let b = 0.18 - g. Put 4\/5, b, -4 in descending order.\nAnswer: 4\/5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -232, -977, -2220, -3961, -6200?\n\"Answer: -249*p**2 + 2*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/9 - (-4)\/6. Suppose m*w = 2*t - w - 7, -w = t - 7. Calculate the remainder when -2 + 117\/6 + (-6)\/4 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((-6)\/5)\/((-1274)\/130 + 10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -677b1 (base 15) in base 3?\nAnswer: -121201110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and 173635 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 37. Suppose 2*o + 0 + 4 = -5*h, -4*o - 2*h + u = 0. Suppose -o*w + 39 = 24. Solve -w*v + 15 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 25. Suppose 2*d - h*c - 21 = 0, -d + 4*c + 3 = -5. What is the smallest common multiple of d and 6 + (-4 - -6 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p**2 - 6*p + 12*p)*(-3*p - p + 2*p).\nAnswer: 6*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y + 7*y - 36 = 0. Suppose 1 = 5*k + 6, -3*l + 32 = k. What is the highest common divisor of l and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 6)*(-2 + 2 + 1)*(0*w**2 + w**2 + w**2).\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-1)*(4 - -3). Let j = g - -32. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + (291 - 272)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.4437 decades to centuries.\nAnswer: 97.84437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -23. Let o = 11 - y. Let q be ((-2 + 3)*o)\/2. Solve 0 = q*v - t + 5, -2*v + 0*v + 5*t = -7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22803217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 11 = 19. Let n = g - -9. Suppose -n*z - 4*i = -10, 2*z + 4*i = 2*i + 8. Solve -z*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8603832 is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - z - 68. Let i be m(-8). Which is the smallest value? (a) -0.2 (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 - 20*m**2 + m + 18. Let g(j) = -j**3 - 2*j - 1. Let z(w) = -d(w) + 2*g(w). Determine r, given that z(r) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 84\/16*112\/21. Find the third derivative of r**3 + 9*r**4 - a*r**2 + r**3 - r**4 - r + 2*r**4 wrt r.\nAnswer: 240*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 10\/4)*2. What is v in 12*v + 276*v**4 - 8 - 5 + 75*v**w + 198*v**2 - 63*v**5 - 474*v**3 - 11 = 0?\nAnswer: -2\/7, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20\/17 - -137\/102. Let y = 3\/268 + -569\/2948. What is the nearest to -1 in z, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*p - 33, -5*p = -2*p - 9. Let y = 14 + t. Let m(n) = 2*n + y - 4 - 3 + 3*n**2 - 2*n**2. Calculate m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30092700 is divided by 358246.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 453 = -106*x - 149*x. Let u = 10 + -7. Factor -3\/4*w**x + 0 + 0*w + 3\/4*w**u.\nAnswer: 3*w**2*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -298906*j + 1195617. Calculate v(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*p = 6, 0 = 3*u + p - 4. Let o be (48\/14)\/u + -2. Let w = -203 + 199. Sort -0.5, o, w in descending order.\nAnswer: o, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 301\/11, -13, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-221*(-29)\/1885)\/(-1).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - b - 2*b**2 + 14*b**3 + 2*b**3 as k + h*b**3 + w*b + c*b**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 34*y**3 + 7*y - 4. Let g(x) = 51*x**3 + 10*x - 6. What is 5*g(q) - 7*r(q)?\nAnswer: 17*q**3 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((17 + p - 17)*(1 - 1 - p**2) + 2*p**3 - 2*p**3 - 3*p**3)*(-4*p - p + 3*p + (0 - 4 + 2)*(-3*p + 0*p + 5*p) + 4 - 4 + 3*p).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - c - 12 = 0, c - 20 = -v - 0*v. Solve -u = -5*u + v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1868)\/(-6)*(-3)\/(-14). Let k = 67 - q. Let w = -4.93 - 0.07. Which is the nearest to 2? (a) -3 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*f - 4 + 4)*(-2 - 1 + 4) + 10 + 22*f - 18 + 7 in the form x + b*f and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9, l: 1, a: 7, h: 2}. Give prob of sequence al.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 82064, 327928, 737594, 1311062, 2048332?\n\"Answer: 81901*o**2 + 161*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113 - 70. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6468410 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30287053 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 43*m = -4*m + 540 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*y + 2 = f, -2*f = -3*y - 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, 16, 16, 4, -26, -80, -164, -284?\n\"Answer: -p**3 + 3*p**2 + 4*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 0.12188\nAnswer: 0.097504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -38*o. Let m(p) = -342*p. Let h(j) = 2*m(j) - 19*u(j). Let n(f) = f. What is h(n(g))?\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 6*h**2 - 3. Let q = -247 + 243. Calculate m(q).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3 (b) -0.1 (c) -682.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Suppose -2*c - 3*y = 4 + 12, -3*c + 14 = -5*y. Let j be 1*0*(-4)\/8. Sort j, o, c.\nAnswer: c, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370417 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26253\/1960 + 513\/49. Calculate the common denominator of -71\/120 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -9. Let v = g + 29. Calculate the smallest common multiple of 2 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/((-30)\/(-5)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11283*q = -11083*q + 1622 + 1578 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -12*r + 6. Suppose 0 = 5*a - 6*a + 3. Solve a = -3*g + 4*g - r*k, 0 = -4*g + 5*k + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o + 1. Let d be z(1). Suppose -5*m + 3*m + d = j, m - j = 6. Suppose -3*i - m = -5*i. Solve i*t - 6*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 91*o + 1. Let q be v(-1). Let u = -38 - q. Suppose -u = -3*d + 95. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + 3*sqrt(78))\/sqrt(6)*1.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10595*m + 5032. Is t(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**2*q + 447028*g**2 + 3*g*q - 734*g - 21*q + 5 wrt g.\nAnswer: 16*q + 894056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 9*r + 4*r = -15, 0 = 3*l + 4*r - 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:32 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -138*i - 3874. What is w(-28)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*u**3 + 362*u**3 + 79*u**3.\nAnswer: 881*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*g - 66*g, -3*q = 3*g + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-3451)\/51))\/(6*2\/8)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1332200 (base 4) to base 11.\nAnswer: -60a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-6)*(-12)\/10. Let g be 1 + 0 + 2 - j. Which is the nearest to g? (a) -2 (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6852878183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -7, 5, 1.27, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190712, -189265, -187820, -186377?\nAnswer: -184936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -3182155.8?\nAnswer: 3182156.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4\/5*b**3 - 2\/5*b**4 + 4\/5*b**2 - 2\/5 - 2\/5*b**5 - 2\/5*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqadqmddxqddyy. What is prob of sequence dyd?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/14544900 and 9\/2300.\nAnswer: 334532700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4*i**3 - 26*d**3*i**3 - 15*d**2*i**3 + 7*i**3 wrt d.\nAnswer: 72*d*i**3 - 156*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-98))\/(768\/512)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1408 + 4279?\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 238 - 222. Solve s = 18*h - 14*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216782.\nAnswer: 2, 131, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*-2*(-1)\/(-4). Suppose x = i*x - 9. What is the derivative of 2*w**4 - x*w**4 - 1 - 2*w**4 wrt w?\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 414, 5, -3 in descending order.\nAnswer: 414, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -19. Suppose -o = 2*o - 6. What is the units digit of o\/x - 146\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -13*w - 5. Suppose -20 = 5*j + d, d = 3*j - 1 + w. Let v(n) = 21*n**2 + 4*n + 21. What are the prime factors of v(j)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31013*b**3*v**2 - b**3*v - 12*b**3 - 7*b**2*v - 563424*b*v**2 wrt b?\nAnswer: 186078*v**2 - 6*v - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1305*h**3 + 4*h**2 - 506*h + 1. Let c(b) = -1304*b**3 + 6*b**2 - 502*b + 1. Let l(x) = 2*c(x) - 3*t(x). Find the second derivative of l(d) wrt d.\nAnswer: 7842*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/13))**45\/((q\/((q\/q**(-1\/5))\/q))\/q**(1\/14)) assuming q is positive.\nAnswer: q**(-6963\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144*a*k - 1671*a + 3*k**2 - 2 wrt k.\nAnswer: 144*a + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 64*w**2 + 228*w - 14589. Give r(64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1570391 divided by -10\nAnswer: 1570391\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 3*k - 15, 84*t + 6 = 86*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*j = -27, 5*q + 2 = 4*j - 1. Let n be 1 + 0 + (q - -2). What is the derivative of -3*t**2 - 2 + 2*t**2 + n*t**2 wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.24, -1\/10, 2, 0.2.\nAnswer: -5, -1\/10, 0.2, 1.24, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56224\/33729 + 3\/11243. Let l = 2.95 + 0.05. Which is the smallest value? (a) -0.2 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - q + 8. What are the prime factors of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 4*c**2 + 33*c - 106. Let y be j(3). Solve x = -y*m + 11, m - 28 = 3*x - 8*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**15\/(q\/(q\/(q*q**(-6)\/q)*q)))\/(q*q\/q**4)**(-27\/2))**(-33) assuming q is positive.\nAnswer: q**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -15. Let u(v) = -5*v**4 + 8*v**3 - v**2 - 2*v + 4. Let s(o) = -1. Let a(f) = r*u(f) + 12*s(f). Solve a(q) = 0 for q.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6101\/2 + -58841\/22. Let r = 673 + -298. Let l = r - s. Find the common denominator of -73\/9 and l.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117819796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23319117 to the nearest integer?\nAnswer: 4829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 46*y**2 + 91*y - 4. List the prime factors of r(-9).\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*s = -73, -94*s + 82 = -5*p - 95*s for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2 = -2*k, 5*k + 2*q + 692 = 687 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 135*u + 1250. What is z(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 1. Let m be a(1). Suppose 5*x - 68 + 13 = m. Calculate the remainder when 54 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 6. Let w be f(-6). What is the first derivative of 2*d - d + w*d + 2*d + 24 wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088277?\nAnswer: 3, 362759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 9198 = 10818. Calculate the greatest common factor of 252 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b - 70 = -56*b. Let c be 1 + 2 - b*(-28)\/70. Factor -k**3 - 1\/3*k**2 + 5\/6*k - 1\/6*k**4 + 1\/6*k**c + 1\/2.\nAnswer: (k - 3)*(k - 1)*(k + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4294 or 8811?\nAnswer: -4294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.5, 31, 4, -1, -2627?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 373*k + 1 + k**3 - 13*k**2 - 182*k - 179*k. Give f(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/5 - (-4 + 1). List the prime factors of (75\/(-6))\/((-2)\/c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2790753.4 rounded to the nearest 1000?\nAnswer: -2791000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.78 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 - 39*u**2 + 48 - 4*u - 13*u**2 - 349806*u**3 + 349790*u**3 + 10*u + 10*u = 0. What is u?\nAnswer: -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 25 - 65 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 4. Let q be k(1). Find the third derivative of -5*p**2 + q*p**3 - 6*p**2 - 13*p**3 wrt p.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 205*k - 6006. Give j(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10406 - 5890. What are the prime factors of u?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3835.711 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.5, -2\/7, -11\/5 in descending order.\nAnswer: 3\/2, 0.5, -2\/7, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 at least as big as -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 301333154.0573 and 4.\nAnswer: 301333158.0573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5706*y - 3456*y - 3080*y + 1631*y.\nAnswer: -10611*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.093823 to three decimal places.\nAnswer: 34.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/9 - 4748*n - 684224\/9 = 0. Calculate n.\nAnswer: -16, 21382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkwxwkwoxwkwxknnk. Give prob of picking 2 n, 1 w, and 1 o.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 d when three letters picked without replacement from odhnbbdddhdbdodhdo?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/180)\/((-4)\/1 - -5)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4 - (-6 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-1 + 4) - -3. Let a be ((-4)\/20)\/(y\/10). Let z = -4 - -5. What is the closest to z in a, 2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 divided by -5903?\nAnswer: -683\/5903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -70*f**2 + 147*f - 8. Determine a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o. Let u(g) = 10*g. Let s(a) = 7*n(a) + 5*u(a). Let k(z) = 3*z**2 + z**2 + z**2. What is s(k(r))?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3617 divided by 106573\nAnswer: 3617\/106573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppnkbukkk. Give prob of sequence ukn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33620418 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 662298769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.135 (b) 1 (c) 358\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**2 - 319*h - 4109. Calculate j(-18).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -139721*d**3 - 50*d**2 + d + 697 wrt d.\nAnswer: -838326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4364 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (1*(1 + sqrt(396)))**2 - (sqrt(396) - (0 + -2*sqrt(396))))*1 - ((-3*sqrt(396)*1)**2 + (1*sqrt(396) + -2)**2).\nAnswer: -4361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2 + 14. Suppose -n*i = -i. What is the remainder when 0 + (i - -1) - -39 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:53 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26763, 215466, 727747, 1725396, 3370203?\n\"Answer: 26965*x**3 - x**2 - 49*x - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -50*c**2 + 556*c + 58157. Give h(-29).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*i - 5 = 0, -49*h + 3*i + 1 = -51*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8003400 to the nearest one hundred thousand.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:12 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.9 and -235834.\nAnswer: -3042258.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -513, -1171, -2131, -3417?\nAnswer: -5053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 32 - 9 = -2*x, -p = -x - 4. Suppose r = 0, -p*z + 2*r - 20 + 255 = 0. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 131*w**2 - 2578*w + 16. Calculate m(19).\nAnswer: -1675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/8)\/(4\/(-8)))\/(4\/(2*-104)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85060, -85058, -85056?\nAnswer: -85054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 8*k - 2*a = 20*k, 31*k - 34*k + 11 = -5*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 4*h**2 - 3. Let l be c(-3). Suppose 0 = -2*s + l + 7. Calculate the greatest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 10*z**2 - 11*z - 21. Give l(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 119445 = c + 5*g, 4*c + 238860 = 4*g. What is c rounded to the nearest 1000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12641, -12645, -12627, -12575, -12477, -12321, -12095, -11787?\nAnswer: -11385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 836*c - 1696*c + 834*c. Let z(g) be the third derivative of g**4\/12 + 2*g**2. Determine x(z(a)).\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 117 = -3*w. Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 - q**3 - 8 + 7 - q**3 as k*q**2 + x*q + r*q**3 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -17*h**4\/24 + 94*h**2. Let u(w) = -w**2. Give t(u(r)).\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a factor of 1698943341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/15)\/p**2)**(-21)\/(((p**(-4)*p)\/((p*p\/(p\/(p**(1\/4)\/p)*p)*p)\/p))\/((p*p**(-4\/3)*p)\/p*p**(-4)*p*p)) assuming p is positive.\nAnswer: p**(2683\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/4 (b) 0.3 (c) 3 (d) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 4}. Give prob of picking 2 f and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110040 and 69587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1655, -3312, -4967, -6620, -8271?\nAnswer: -9920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 480350 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*d + 4*l, 4*d + 18*l - 26 = 21*l. Let c be (-1 - -1)\/(4 + -2). Sort d, -275, c in increasing order.\nAnswer: -275, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 14*q + 15*q + 17, 5*s = -4*q - 8. Let o(j) = -1560*j - 23. Is o(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 = 4*s, 3*x - 2 = -s + 6. Let h(l) = -l - 1. Give h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/(-48)*(1 + 2). Suppose -4*d + 5*f + 627 = 2*f, d - 144 = r*f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 182\/42 - 2\/(-3). Solve -r + 15 = -4*v, -j*v - 22 = -0*v + 2*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/4371789 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - d - 1803 = -0*d, -2*l + d = -723. Suppose -3*q - 5*a = -232, -3*q + 4*a - 92 = -l. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/2, -0.05.\nAnswer: -1, -0.05, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*z**2 + 26912\/3 - 232\/3*z.\nAnswer: (z - 232)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k + 2. Let h be r(1). Suppose -s - 161 = c + 1439, h = -2*c - 3*s - 3200. Let i be (11\/(-4))\/((-8)\/c). What is i rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -5 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 5*p**2 - 84*p - 2. Determine z(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 41 + -35*(-12)\/84. What is the highest common divisor of 1242 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 2*c. Let f be l(-5). Calculate the remainder when ((-153)\/(-6))\/(f\/(-20)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1608 and -91\/10.\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199.6 + -181. Let t = -18.693 + z. Let k = t - -0.093. Which is the nearest to -1? (a) -5 (b) k (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 14*t + 211. Let o be x(-14). Suppose 5*w = 4*w. Suppose -3*k - 2*k + o = w. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a + 8. Let d(j) = j**2 - 38*j + 243. Let z be d(8). Suppose 8*n - 10*n + z*s - 18 = 0, -12 = n - 3*s. Give x(n).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23 + -0.07. Let v = -640 + 639.4. Let m = v - f. Put m, 3, 2 in descending order.\nAnswer: 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Suppose -4*h = -5*g + 87, -2*g + 60 = g - 5*h. Let o be ((-20)\/g)\/((-4)\/(-6)). Sort o, -2\/5, q.\nAnswer: o, -2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.9, 0.2, -1.7 in decreasing order.\nAnswer: 0.2, -1.7, -11.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 8 + 15 = -2*p, 4*h - 3*p = 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 0, 45, 140, 303, 552, 905?\nAnswer: 1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -205 + 208. Let a be (-4 - -7)*(2 - 12\/9). Solve 5*l - 2*r = -13, -10 = a*l - u*r + r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 4*s - 7, 0 = -2*i - 0*s - 2*s + 2. Suppose k - 2 + 4 = 3*d, -i*d - 37 = -4*k. Solve -a + k = 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 9*c - 181. Let a(o) = -o**3 + o**2 - o + 12. Calculate the remainder when c is divided by a(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 3*a + 3. Determine b(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12117 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 565*g**2 - 69*g - 48. Is b(-7) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 45903528*i + 175594490237232.\nAnswer: 3*(i - 7650588)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3 + 17076*z**2 + 1701067*z - 12743850 = 0. Calculate z.\nAnswer: -106, 7, 17175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p - 97*p - 19788 = -291*p + 12*p for p.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 135\/54*((-2944)\/80 - -20)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + y**2 - 6*y**2 + 30*y**2 + 24*y**2 + 10*y**2 + 3*y - 3*y - 2*y**2 + (0*y - 3*y + 4*y)*(2*y + 2*y - 6*y).\nAnswer: 53*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2 = -17. Let h(c) = -c**2 + 3*c + 3. Give h(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80375054469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3473?\nAnswer: 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/113)*(h*h*h**(-27))\/h)\/(h**(2\/55)\/h)**(-7))**(-1\/12) assuming h is positive.\nAnswer: h**(67801\/24860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*n - 581, -n + 2*w - 6*w + 222 = 0. Suppose 5*l + 2*q + 346 = 0, 2*q + n = -3*l - 2*q. Let i = -39 - l. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.72120966398 - -30.6.\nAnswer: 31.32120966398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 17*s**3 - 8 + 6*s**3 + 4*s**3 + 6*s**3 to g*s**3 + l*s + t + j*s**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 44*t**3 - 56*t**2 + 96*t.\nAnswer: 4*t*(t - 12)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36155734 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**3 - 2*c**2 - 5*c + 2. Let t be h(-3). Suppose -v + t = 3*v. Suppose -4*g + v = -16. Solve o - g = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/90027 and 149\/888.\nAnswer: 26647992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1176 and 2136351.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**3 + 4*i**2 - 4*i - 4. Let v be (-3)\/2*(-3 + -2 + -5). Let f be (-1)\/(-3) + 10\/v*-2. Let k(x) = -x**2 + x + 1. Give f*l(y) - 4*k(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 642722499 by 159921.\nAnswer: 4019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:30 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018 is divided by 222.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*36\/(-156) + (-34)\/78?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -158736+-713.27\nAnswer: -159449.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 13. Give p(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213856 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**3\/3 - g**2 + g - 1. Let v be (-119)\/(-14) + (-2)\/(-4). Suppose -v*m + 4*m + 28 = 4*t, 0 = 5*t - m - 6. Determine r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.1.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 60, -5 in ascending order.\nAnswer: -5, -2, -1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4816588 is divided by 344037?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -1.5. Let w = -1.6 + n. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 20*p. Let a(l) be the second derivative of -11*l**4\/6 - l**3\/6 + 52*l + 2. Calculate s(a(m)).\nAnswer: -440*m**2 - 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-16))\/(0 - 2\/(-24))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 2. Determine g(11).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175 - -175.2. What is the closest to c in 0, 1\/4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9\/10 of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 908884733 to the power of 1\/2, to the nearest integer?\nAnswer: 30148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -17*r - 106. Determine v(-9).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 - (-5 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8750*f + 18*z - 138 = 8752*f, -14*f + 6*z + 28 = -16*f + 3*z - z for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/3 - (0 - 39). Suppose 0 = 4*w - 3*o - 49, 6*o - o = -4*w + 89. What is the highest common divisor of a and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:09 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72658 + -437983\/6. Let z = 341 + h. What is the common denominator of z and 95\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 22*v - 48*v + 63 + 21*v. Let c be g(13). What are the prime factors of c + -2 + 3 - -31*7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16041, -16034, -16027, -16020?\n\"Answer: 7*d - 16048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 85751 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -16*d**2 - 498*d + 4836. What is u(8)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -o - 28, 0 = 5*o - 3*z + 138. Which is smaller: -31 or o?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -181?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbppbpbfvtvbvpbssb. What is prob of picking 3 b?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1798*v**2 + 211*v wrt v.\nAnswer: 3596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -34) + 4 + (17 - 13) + 1.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 86?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 905 (c) 766 (d) -2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njx when three letters picked without replacement from {n: 2, j: 1, k: 3, f: 6, x: 4, q: 2}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 418286186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/19)*f)\/f)\/f)**7 assuming f is positive.\nAnswer: f**(-140\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -10 (c) 0.2 (d) -2\/9 (e) 50\/19 (f) -3 (g) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13309337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(-1 + a + 1) - a - 1 + 1 - 3*a + 3*a + a - 1 - 2 + 5 + 5*a - 5*a + 0*a - 3*a to c*a + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5227684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -324068.\nAnswer: 23\/162034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -706, -901 in decreasing order.\nAnswer: -3, -706, -901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*i - 0. Suppose -11*w + 5*w = i. Let h be ((-12)\/10)\/(3*w\/40). Calculate the greatest common factor of 20 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(1936\/990)\/22.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 515 = 403. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*o - o + 3*o)*(1 - o - 1) + 0*o**2 - 2*o**2 - 2*o**2)*(-1 + 1 + 2*o**2).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 + 34*f**2 - 5*f - 13. Let i be t(-17). Let k = -78 + i. Let u be 182\/21 - 2\/k. Calculate the greatest common factor of u and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -0. Let u be -4 + 1706 + (1 - g). Round u to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -10. Let q = 120644\/13 - 9280. Sort -0.4, m, q, -1\/11.\nAnswer: m, -0.4, -1\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 7*p**3\/3 + 2*p**2 - 31. Let n(t) = 4*t**2 + 2*t. Let f = -8 - -13. Give f*n(q) - 3*i(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3219 and 11.8.\nAnswer: 37984.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 4*f**2 - 8*f + 14. Let z be c(5). Let d(o) = 3. Let l(s) = -2*s + 3. Let r(w) = z*d(w) + l(w). Give r(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {x: 5, b: 2, g: 2, p: 4}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 24.3\nAnswer: 2.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*w + w = 16, -4*w = -12. Suppose d*r = 3*r + 132. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from ppiiipiiizpiipiii?\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnncocconncnccncccc. Give prob of sequence nn.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -0.122, -2\/19, -3, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**2 + 3*j - 5. Let x(i) = i**2 + i - 3. Let z(n) = 3*n**2 + 3*n - 10. Let l(t) = -7*x(t) + 2*z(t). What is 6*l(g) + q(g)?\nAnswer: 2*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*z - 8 - 3, -4*z = -4*a - 16. What is the remainder when 12 is divided by a + -4 - (-22 - 5\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119682682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 414*z**2 - 414*z**2 - z**3 + 135 as v*z**2 + w + q*z + y*z**3 and give w.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {q: 5, w: 1, t: 3, k: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (3 - 4 - -2)) + -31 + 40.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279348526.\nAnswer: 2, 19, 7351277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, z: 7, i: 1, x: 3, v: 4}. Give prob of picking 1 x and 3 v.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1016, 1057, 1124, 1229, 1384, 1601?\n\"Answer: 2*z**3 + z**2 + 24*z + 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 5:45 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -280806, -561611, -842416, -1123221, -1404026, -1684831?\n\"Answer: -280805*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (87 + -84)*(-3)\/(-1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjud when four letters picked without replacement from djujjuudjjjuju.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let y = o + 1. Let r = -1.6 + y. What is the third biggest value in 5, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6745 + 13919. Does 34 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235778 (base 10) to base 2\nAnswer: 111001100100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -150, -75, 2, 81, 162?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18\/7, 0.08, 8?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*t + 5 = -0*c, -4*t = 4*c - 40. Suppose k + 3*k = -c*d + 47, 57 = 5*d - k. Suppose 0 = -4*w - d*w + 825. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 996\/(-2490)*-2*(-4)\/(-2)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - (-33)\/(-12). Let s = 5.6 + -6. Let p = -4.4 - s. Which is the nearest to 0.1? (a) -3\/5 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589 - 60 + 2*d - d**2 - 253.\nAnswer: -d**2 + 2*d + 276","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*d = -2*d + 10, 3*p = -2*d - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-1)\/(-52))\/(33\/((-1056)\/16))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 12*t. What is c(-3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)\/(-3) + 272. Suppose 3*r - 7*r + p = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -24*q**2. Let b(n) = -8*n. Give o(b(u)).\nAnswer: -1536*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.69 + -52.69. Sort v, 5, -3, -7, 3\/2.\nAnswer: v, -7, -3, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-3)*-3*21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 593 = l, 5*l - 35*f = -32*f + 3021. What is the greatest common factor of 67 and l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - ((-29 - -47) + -17).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -92*a**2 + 10*a - 5. Let v(m) = 97*m**2 - 10*m + 6. Determine 6*k(g) + 5*v(g).\nAnswer: -67*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7727533 to the nearest integer?\nAnswer: 2780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 15*q = 4*j - 3, -q = -4*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - -20. Let k = 92.9 - z. Let w = -0.7 + 4.7. Which is the smallest value? (a) k (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2289 by 327.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-244)\/2989)\/((-30)\/(-21)))\/(3\/((-60)\/(-16))).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 0)**2 - ((sqrt(121)*-1)\/sqrt(11))**2)*-1*6*-5.\nAnswer: 20790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*a - 8 = -d - 207*a, d = -2*a + 3 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 237*l + 61. Let o(t) = 60*t + 15. Let a(p) = 9*o(p) - 2*q(p). Suppose 0 = -4*m + 7 + 33. Is a(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-21) + -23 + 6112\/224\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2420\/9, -0.5, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -1, 4, -34\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 10. Let s be k(8). Let d = s + 11. Suppose l + w - 69 = -l, 42 = l - 2*w. Calculate the greatest common factor of l and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 148\/6*12\/(-8). Let z = -49 - x. Is -14 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34516794 or -34516790?\nAnswer: -34516790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 990\/3*(-6)\/(-15). Is -1 + a + (-51)\/17 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Suppose 0 = -5*x + 3*l + 15, l = 2*x - 2*l - 15. Let u = w + x. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**7\/42 - i**3\/6 - 3*i + 4. Let a(h) be the first derivative of l(h). What is the second derivative of a(f) wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v + 11 - 49 + 26. What is the remainder when 33 is divided by o(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3) - 128\/(-6). Suppose -4*j + o = -2. Let p = -4 + j. Solve b - 2*b = p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*z - 4*k - 5, 3*z - 1 = 5*k. Let c be (z + 1)*(-2)\/(-3). What is the remainder when 340\/50 + c\/10 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13 - -17) + 8)*1\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*c, 2*c - 8 = -2*u. Solve -2*d - 2*d + 4 = u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 1 - 5*r + 0*r)*(2*r**4 + r**2 - r**2 + (3*r**3 - 7*r**3 - 2*r**3)*(0*r + 2 + 0 + r)).\nAnswer: 20*r**5 + 4*r**4 - 168*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 11:20 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*z**4 + 217*z**3 - 20*z**2 - 92 wrt z.\nAnswer: -168*z + 1302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2 - 1 - 2*x + 20 + x. Let v be l(12). Find the third derivative of h**2 - v*h**6 + h**2 + h**2 wrt h.\nAnswer: -600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23891436 divided by 209574?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 30*y**3 + 16*y**2 + 16. Let n(w) = 6*w**3 + 3*w**2 + 3. Calculate 16*n(f) - 3*t(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 = -0*g - 2*j, 0 = 4*j - 8. Suppose 4*a - 12 = g*q, -26 = -5*q - 6. What is the smallest common multiple of a and ((-9)\/2)\/(1\/(-2))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3432 and 51540216?\nAnswer: 566942376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(6*3\/9). Let w be -3 + 4 - n\/(-1). Suppose w = c - 37 - 33. Calculate the greatest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 99352.\nAnswer: 993520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.439 or -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 - 5)*(l - l + 3*l) to the form u*l + g and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:08 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(68)\/sqrt(4) + 3 - sqrt(51)\/(-1*sqrt(3) + sqrt(3) - sqrt(3) - sqrt(3)))*4)**2 + 3*(sqrt(153) + -5 - (sqrt(17) - (1*sqrt(102))\/sqrt(6))).\nAnswer: 141*sqrt(17) + 718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2214 and 7820586.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 - -0.3. Let t be ((-1 - -1)\/(-7))\/(-4). Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7593399 divided by 2073?\nAnswer: -3663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0. Let x be (-68)\/(-84) - 2\/3. Sort -1\/2, q, x in increasing order.\nAnswer: -1\/2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 8*p + 108 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 742925 and 8?\nAnswer: 5943400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1405 - 1405 + 4*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1214 + -859. Let x = s - 342. What is the third smallest value in -0.4, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121 - 12?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.9 + -13. Let c = d + -0.954. Let j = -0.264 - c. What is j rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000841 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506 - -417 - (-64 - -2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*(0 - -3) - 318\/(-72) and -37\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 107, 186, 265?\n\"Answer: 79*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c0 (base 14) to base 11.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(350)*-3 + sqrt(350))\/(sqrt(14)\/((sqrt(112) + sqrt(7))*-2)))**2.\nAnswer: 437500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 35 = 34*h. Suppose -p + 5*o + 75 = 0, 0 = 5*p - 36*o + 35*o - 471. What is the lowest common multiple of h and p?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 p when four letters picked without replacement from {h: 4, p: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) + 0 + (-5104)\/3520. What is the third smallest value in 2, -0.04, n, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -26) + (-19 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37183, -74365, -111547, -148729?\nAnswer: -185911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2460 = -2*j + 4*t + 2458, 4*j = -4*t - 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (3\/(-2) - (-165)\/30). Let n(o) = 3*o**2 + o - 10. Let b(j) = 4*j**2 + j - 12. Let x(i) = h*n(i) - 4*b(i). What is x(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47022535*o*r**4 + o*r**2 - 6*o*r - o + 8*r**2 - 43*r - 1 wrt r?\nAnswer: -1128540840*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3459080 divided by -5.\nAnswer: -691816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3235 is divided by 71?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132 - 121.5. Let h = s + -13.5. Let c = -1 + 1.4. Put h, c, 0.7, -2 in ascending order.\nAnswer: h, -2, c, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -22, 87, -84 in decreasing order.\nAnswer: 87, 18, -22, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from oootoooiiiootoootyoo.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/2 + 49*q**3 - 3177*q**2\/2 + 17612*q - 16072 = 0.\nAnswer: 1, 28, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j - 203. Calculate s(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 3*g**2 + 2*g - 2. Let z(l) be the third derivative of -l**4\/24 + l**3\/6 + 3*l**2. Let c be z(5). Calculate s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18796*f**4 - 28*f**2 - 1124488?\nAnswer: 75184*f**3 - 56*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aayyeaeeaeaalme. What is prob of picking 1 y, 2 e, and 1 m?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1504)\/(-3) - 1*-2 - 2224\/1668 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1249 - 1244. Solve -i - b = 2, -5*i - z*b + 3*b = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 3*q = 73, -74 = 5*h - 19850022*q + 19850026*q for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0858 and 4967.\nAnswer: -426.1686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.22511 to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2\/5 + 199722*a\/5 + 4784688 = 0.\nAnswer: -66454, -120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 + 2*d - 3. Give k(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1447 - -1569.2. Let u = 122.703 - w. Let y = u - 0.5. What is y rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 4*w**2. Suppose 2*c + 4*k - 8 = 0, 2*k - 20 = -0*c + 3*c. Calculate x(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9497 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/(-3))\/((-6)\/1818) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 30425 = 5*p, 2*r = p - 3884 - 2204. What are the prime factors of p?\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1725 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28730 and 2.\nAnswer: 28730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159549*g**4 + 2*g**2 - 310321*g - 1.\nAnswer: 1914588*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1328714792 divided by -39388.\nAnswer: -33734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1204 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3561642 (base 10) to base 13\nAnswer: 9791a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7665127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 - n + 1. Let s be l(1). Let t(b) = b**3 - 8*b**2 + 8*b - 5. Let w be t(s). Factor -3*d**3 + 4*d**3 + 0*d**2 + d**w.\nAnswer: d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2 - (-15 - -18)) + -2 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytxldllxxxyxyytxx. Give prob of sequence ltxt.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = 4. Let r(c) = 15*c**2 + 7*c + 5. Let u be r(p). Let n = u + -9. What is the remainder when 123 is divided by n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -368, -0.2, -5\/6, 47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*d + 169*d = 197*d - 236*d + 20592 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 2*m + 109. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 2646*b - 257553. Determine d(94).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 32 - (-84 - -68)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 365.0514 + -0.0514. Let h = 363 - n. What is the third biggest value in h, 16, 3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -18.2. Let n(o) = -o + 3. Let p be n(5). Which is the nearest to p? (a) -1 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 4536779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*y = 2, 5*y + 5 = -5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m - 57 = 2*d, -36 = -3*m - 5*d. Suppose 0 = 2*c + m - 9. What is the third smallest value in 1\/2, c, -4\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 3*p**2 - p + 1. Let j(q) = q**3 - 4*q**2 + q. Let n be j(3). Let z = 3 + n. What is k(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 9*y - 8. Let d be q(-7). Suppose 0 = -10*c + 15*c - 80. Let k = c - d. What is the smallest common multiple of 11 and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2070 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 13*w**3 - 11*w**2 - 4*w + 1. Let s = 96 - 90. Is a(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1222078.131 rounded to the nearest 1000?\nAnswer: -1222000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**7\/1050 - i**6\/600 - i**5\/300 + i**4\/120 + i**2. Factor r(o).\nAnswer: o*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301313134 - 0?\nAnswer: 301313134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2512, 4704, 6898, 9100, 11316?\nAnswer: 13552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/2 + -5. Is 1\/2 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4440\/16*(-5)\/(30\/(-136)). Let s = -19008\/3899 + -539277505\/85778. Let r = o + s. What is the common denominator of -85\/4 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.46987um in millimeters?\nAnswer: 0.00746987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2 + 15*z - 18*z + 4*z. Suppose -5*t + 804 = -4*k + 67, 4*t = -4*k + 604. Calculate the remainder when t is divided by i(27).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 - -98. Let h = g - -47. Solve h*z + 6 = -6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 9 + 7 + 16 - -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 55. Let p(s) = s - 11. Let q be p(m). Let n = q + 29. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121102132 (base 4) to base 16\nAnswer: -1949e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 4*f**2 - 2*f. Let b = 33 + -20. Calculate the remainder when b is divided by t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*w = -9, -44*q - 2*w = -39*q - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**4\/2 + 29*i**3\/3 - i**2\/2 + 35*i + 200. What is the hundreds digit of u(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from qhqscqqlqqchc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 0, 8 = -3*j + 2*t + 58. Let c = 20 - j. Let w be (4 - 5)*c*-2. Sort w, 0, -8 in decreasing order.\nAnswer: w, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 496cc (base 16) to base 8\nAnswer: 1113314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -6*x - 54. Suppose 4*r = -5*b + 90, 4*r = 3*b + r - x. Let o be 2 + 22 + 2\/((-6)\/9). Calculate the highest common divisor of b and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*c + 100, 4*u + 2*c - 66 = -c. Suppose -o - 3*o + 8 = 0, -81 = p - 4*o. Let j = -28 - p. Calculate the greatest common divisor of u and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183913791 less than -0.5?\nAnswer: 183913790.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by -6?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 21*j + 142. Let c(w) = -71*w - 479. Let u(s) = -8*c(s) - 27*f(s). Let r(h) be the first derivative of -2*h**2 + 8*h + 1. Give 2*r(o) + 9*u(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ooajnqd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 17*g - 14 = 0. Suppose -3*i + 11 + g = 0. Solve -q + 5*w = -22, 29 = -3*q - 8*w + i*w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2100, 17189, 58166, 137979, 269576?\n\"Answer: 2158*n**3 - 4*n**2 - 5*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 135*l**3 + 2*l - 111*l**3.\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24105.7 plus 23?\nAnswer: 24128.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 87 = t. Suppose -123*z + 69*z + 58*z - 384 = 0. Let q = z + t. Solve 5 = -k + q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3128 by 1564.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 1:34 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94474 * 0.19.\nAnswer: 17950.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 w when four letters picked without replacement from {n: 1, t: 2, w: 2, y: 2, i: 1, z: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*f**3 - 67*f**3 + 483*f**3.\nAnswer: 699*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4659*d + 2608*d + 414*d + 49*d in the form o*d + a and give o.\nAnswer: 7730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3539*y + 3540*y - 44 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(175) - -1*sqrt(175)) - sqrt(252)*-5.\nAnswer: 3 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -273?\nAnswer: -26d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12719\/1016 + -77\/127. What is the second biggest value in c, -0.4, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) -5 (b) -4\/3 (c) -0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 2. Let v = -28 - -31. Suppose -5*t - v = -h. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 12*w**2 + 11*w - 14. Determine f(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 164 - 216. Let y = -57 - f. Put 0, -1, y, 2 in ascending order.\nAnswer: y, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (62\/4)\/((-2)\/(-8)). Suppose -5*i = z - a, i + 2*i = -3*z + 42. Let t be ((-4)\/3)\/((-8)\/i). Solve t*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 231*c + 462. Let y(l) = -2*l - 2. Calculate 5*o(b) + 1155*y(b).\nAnswer: -1155*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1970 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 s when three letters picked without replacement from szzsesz.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 1793*j**2 - j + 1802*j**2.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3266, 6532, 9808, 13100, 16414, 19756, 23132, 26548?\n\"Answer: m**3 - m**2 + 3262*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.0279?\nAnswer: -0.0558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45853 less than 5?\nAnswer: -45848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -23*t - 30. Let k(m) be the first derivative of m**2 + 3585. Determine k(d(z)).\nAnswer: -46*z - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, -2\/63, 0, 1\/2 in decreasing order.\nAnswer: 1\/2, 0.1, 0, -2\/63, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 - 53 - 60 - 8*m + 38*m - 74 - 5*m**2.\nAnswer: -5*m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 18*x**2 - 258*x - 2. Let j(f) = -22*f**2 + 259*f + 2. Give 4*j(i) + 5*q(i).\nAnswer: 2*i**2 - 254*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 7362\/8. Is (n\/(-2))\/2 + 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 25464693*r - 76394052.\nAnswer: -3*(r + 3)*(r + 8488228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 159676 and 6.\nAnswer: 479028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 337448, 1349826, 3037138, 5399396, 8436612, 12148798, 16535966, 21598128?\n\"Answer: 2*v**3 + 337455*v**2 - v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1106 divide 1667603369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 723042036 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874600 is divided by 11818?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -432.6337 to one dp.\nAnswer: -432.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/35? (a) 11\/5 (b) -1.8 (c) -0.5 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w - 11*w - 48*w**3.\nAnswer: -48*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22501786 divided by -3?\nAnswer: 22501786\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 - 52 = 0. Let y = 82 - 85. Let g = 9 - y. Calculate the remainder when u is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 921 - -330. Let r = -1250.97235 + v. Let c = -0.028 + r. What is c rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/4875 (b) 2225 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 606\/(-4) - 4\/8. Let j = -99 - s. Suppose 3*q = -5*k + 38 + j, 3*k = 3*q - 51. Calculate the least common multiple of q and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/z)**(-30\/7)*(z**(-4))**(3\/17) assuming z is positive.\nAnswer: z**(5526\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2498*z - 915*z - 813*z - 770*z + 26*z**2.\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 593, -879, -2351, -3823?\n\"Answer: -1472*d + 2065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 81\/2*(-90)\/81\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*m - m - 5, -w = -2*m + 2. Which is smaller: -3\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 13*f + 3. Let a(s) = 2*s + 1. Calculate 6*a(x) - z(x).\nAnswer: -x**2 - x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k**3 + k**2 - 1. Let q be v(-1). Let i be (0 + -3)*(6 + -9). Suppose -i = -2*n + q. Calculate the remainder when 17 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -98*y**3 + 1931885228*y**2 - 1103934392*y + 157704912 = 0.\nAnswer: 2\/7, 19713114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 3*h - 3*s - 209, h = 3*s + 49. Suppose h = 7*n + n. Solve -j + n = 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41263637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5971)\/(-4265)*(-15)\/(-14))\/(3\/((-552)\/28))?\nAnswer: -69\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 636969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127854730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4231\/888 + -43\/222. What is the common denominator of 65\/8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, -6, 1.1 in decreasing order.\nAnswer: 3, 1.1, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 9 - -1) + -7 + 11 - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/40 + 7*n**5\/5 + n**4\/8 - 14*n**3 + n**2 - 19. Let o(c) = 0. Calculate c.\nAnswer: -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -757 (base 8) to base 16\nAnswer: -1ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10897*(-2)\/4)\/((-1313)\/7878)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 0, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11273 and -2.1.\nAnswer: 11270.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.01 + -6.0351. Round d to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**3 - 5*u**2 + 5*u - 10. Let t(o) = -7*o**3 - 4*o**2 + 4*o - 9. Let k(n) = 5*t(n) - 4*y(n). What is the derivative of k(h) wrt h?\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -5*(-1 + sqrt(99)) - sqrt(99)) + 1*sqrt(99)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 8*y - 5. Let d be k(6). Solve 0 = -3*w + d*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 23. Let h be 330\/(-40) + (1 - (-9)\/(-12)). What is the remainder when f(h) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*x, 4*c + 3*x + 1 = -8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/18 and -97\/268.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58508.\nAnswer: 2, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25023, -25022, -25021, -25020, -25019?\nAnswer: -25018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671401807 is divided by 9992.\nAnswer: 9991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23507896567 take away -0.66?\nAnswer: 0.89507896567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -783227 - a**4 + a - 5*a + 783238 + 1032*a**3 wrt a?\nAnswer: -12*a**2 + 6192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012 - -11?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -171, -173, -177, -183, -191?\n\"Answer: -a**2 + a - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 4, -7 in decreasing order.\nAnswer: 4, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*f = 22, -4*f - 2 - 30 = -4*o. Suppose -r + 12 = 2*r, 4*z - 40 = -5*r. Let g = 9 - z. Solve -x + g*u + 8 = 0, -3*u - 3 = 3*x + o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + q - 4 = 0, 15*h - 20 = 11*h + q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -31*i. Let t(q) = -31*q. Determine -2*o(u) + 3*t(u).\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-15 + 11)) + 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 113 + 64 + (36 - 82)\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115830 and 268710?\nAnswer: 79806870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66566829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 16, r: 1, m: 3}. Give prob of sequence mj.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10729 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 751, 749, 745, 739, 731, 721?\n\"Answer: -v**2 + v + 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1489312*w**3 + 17*w**2 + 89056*w.\nAnswer: -8935872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-18)\/(-14)))\/((-23)\/(-1449)*-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/10, 1\/5, 24 in ascending order.\nAnswer: -7\/10, 1\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*2*-4 + (sqrt(448) - (sqrt(448) + 1)*5))**2 + -3.\nAnswer: 960*sqrt(7) + 64534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + 35\/14. Find the second derivative of g**4 + 0*g**4 - t*g + 3*g**4 - g**4 wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(2*r + 3 - 3) - 10*r - 2 + 2 + (r - r - 2*r)*(0 + 0 - 2).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 55. Let m(p) = p**2 + 8*p - 13. Let l be m(x). Solve -5*t + 5*h - 18 = 2, l = -5*t + 2*h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -77. What is the common denominator of (-8)\/(64\/(-8)) - 237\/r and -55\/254?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 763050 is divided by 254157?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 2. Determine r(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 27.997. Let x = i - -11.003. What is the smallest value in -1\/2, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d - 22*d - 3*d - 61 wrt d.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1978, 1970, 1956, 1936?\nAnswer: 1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + r**3 + 3*r**2 + (r**2 - 3 + 3)*(0*r - 3*r - r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1971*a + 2021*a + 2950 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 211*a + 2715. Let g(k) = -47*k - 679. Determine -9*g(f) - 2*l(f).\nAnswer: f + 681","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*o + 9*o**2 - 23*o + 4*o + 201 to i*o + n*o**2 + t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146.099 + 146. What is m rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10177 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.067*-11.\nAnswer: -0.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 198 = -q. Suppose 0 = 4*r - 3*n - 63, 0*n = r - 2*n - 22. Let c be (-3)\/18 + 218\/r. What is the highest common divisor of q and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -104. Suppose 0 = -n + i + 48, -2*n + 134 = 2*i + q. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678086.5 litres to millilitres.\nAnswer: 678086500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = k. Suppose -6 = -2*o - k*o. Suppose t = 2*m, t - 2 - o = -3*m. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(3 + (2 - (-48)\/(-9))). Suppose 0 = q - f*q - 37. Let x = -10 + q. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 46 = x + 2*q, -3*x - 17 = 2*q. What is the tens digit of 3\/x + 79\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 82.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -9*p**2 - 23*p - 2. Let m(f) = -4*f**2 - 11*f - 1. Let z(l) = 13*m(l) - 6*o(l). Let d be z(4). Is d not equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in decades?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -191935300 to the nearest 100000.\nAnswer: -191900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 7. Let y be z(-4). Suppose -9 = 4*l - 3*l - q, -y*q = 0. Sort l, 1, 3, -3 in descending order.\nAnswer: 3, 1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*l - 38 = -4*x - 40*l, -4 = 2*l. Calculate the remainder when 40 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819380207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 32*i - 21*i - 2 to n + q*i and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109.1 + -11.1. Let f = -1.21 + 2.21. Is b at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32026.05048 to the nearest 100.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -147b (base 14) in base 2?\nAnswer: -111000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 5, y: 3, h: 5}. What is prob of sequence yhi?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/6, -2\/7, 5, 84?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((-2)\/32*1 - 3174\/(-1632)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 30*u**3 + 3*u + 17. Let s(x) = 127*x**3 + 63 + 8*x - 13 - 36*x**3. Let f(v) = -8*d(v) + 3*s(v). Differentiate f(k) with respect to k.\nAnswer: 99*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210002022 + 11?\nAnswer: 11210002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2492, -67, -2.\nAnswer: -2492, -67, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s = -5*s - 217 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 1. Let d(r) = -3*r. Let y(v) = -5*d(v) - 2*g(v). Let b be y(2). What is the common denominator of 11\/((-22)\/b) + (-33)\/(-14) and 61\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6012 and 106456.\nAnswer: 160003368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 467906402673 minus 1.04?\nAnswer: 467906402671.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 10*r**3\/3 + 5*r**2 - 3. Let d(z) = 2*z**2 + 2*z. Let f(m) = 16*d(m) - 3*w(m). Determine i, given that f(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12988 = -433*b + 2167 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(((h**23*h*h)\/h)\/h)*(h*h**(-1\/5))\/h*h*h)**(-31))**33 assuming h is positive.\nAnswer: h**(98208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 396*q**3 - 4 + 395*q**3 - q - q**2 to u + i*q**3 + j*q**2 + y*q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14615 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 120 + 25 = 5*f, -3*x = 2*f - 57. What is the remainder when 188 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 + 1)*(19*w - 57*w + 194*w**4 - 187*w**4 - 2*w**2).\nAnswer: -84*w**4 + 24*w**2 + 456*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 12*s - 12. Let h be b(-9). Let r = h - -95. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9683945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -24, 0, 1, 142 in increasing order.\nAnswer: -24, -4, 0, 1, 2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 9*g - 21. Solve -v + 3*t = 2*t + g, 2*t = -4*v - 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1228 and 24867.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8068*d - 338881. Determine i(-42).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(114) - -2*sqrt(114)*3)*1)\/(-4*(sqrt(450) - sqrt(18))\/sqrt(3))*3.\nAnswer: 105*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k*m*w**3 - 3*k*m*w**2 - 40*k*m - 2*k + 3*m*w**3 + 4*m*w + 358*m - 35*w**2 wrt w.\nAnswer: 12*k*m*w - 6*k*m + 18*m*w - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 6) + 16 - 14 - 13\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) 1\/10 (c) -2\/87 (d) -128 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200448.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 257587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -309*s**2 - 165003*s + 1602 = 0. Calculate s.\nAnswer: -534, 1\/103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55852615 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from kkkzkkzkkkkkkkkzkk.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1667*t + 841*t = -832*t + 54 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eei when three letters picked without replacement from {e: 3, y: 1, w: 5, j: 5, o: 4, i: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from wbbz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -10. Suppose -3*w + 5*w = -3*r - 3, 2*w + f*r = -5. Solve 2*x + 5 + 5 = w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 92*v - 1244. List the prime factors of r(57).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.7 + -26.7. Which is the second smallest value? (a) 11 (b) 29 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25138979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.23, 2273, 337?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871 + 1907 = 213*w - 1056 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/79? (a) -1\/12 (b) 2 (c) -3\/10 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-19))\/((-612)\/4)\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.25 (c) 18439 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 s when four letters picked without replacement from sfujfsfjfjssjfffjsf?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 959.9792 days?\nAnswer: 82942202880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + c + 43 = 0, c + 31 = 4*n + 120. Suppose 39 = -3*i - 0*i. Let b = i - n. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*((4 + sqrt(192))*4 + (sqrt(192) - 1*sqrt(192)*6)))**2 + 2.\nAnswer: -9216*sqrt(3) + 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -657, -1291, -1927?\nAnswer: -2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -0.1. Let w = -0.04 - b. Let i = 43 + -47. What is the second smallest value in -1, w, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5)\/10)\/((0 + 4)\/32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750413451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 20*w**2 - 54*w - 27. Let h(s) = s**3 + 10*s**2 + 26*s + 13. Let o(d) = 5*h(d) + 2*r(d). Let x be o(-10). Is -210 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40641 and 9482900.\nAnswer: 28448700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - -1) + -36 + 38\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, l: 1, q: 2, k: 2}. Give prob of picking 2 r and 2 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000110101101001 + -11?\nAnswer: 10011000110101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 321 and -95.3419042.\nAnswer: 225.6580958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 23*t - 18*t = 18, 4*t - 16 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5926 is divided by 156?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2574004 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -198 + 201. Factor -b + 8*u - 16\/3*u**2.\nAnswer: -(4*u - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2\/9 - 110*g\/3 + 332\/9 = 0?\nAnswer: -166, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.1 + 29. Sort y, 0, 0.18.\nAnswer: y, 0, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 - 2 - (4 + 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2139 + 2143. Solve -2*h + 22 = -4*v, -j*h + 4*v + 21 = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25063 + 175440\/7. Let f(w) = -w**3 - 2*w**2 - 2*w - 1. Let i be f(-1). Let h = i - -1. Is h at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (247299\/(-26))\/(1\/2). Let h = v + -80977. Round h to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -60. Calculate the remainder when z is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*m - 2, 3*m + 4*i - 5 = -25 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0*k**4 + 0 + 0*k**2 + 84*k - 41\/3*k**3 - 12\/7*k**7 + 0*k**5 + 0*k**6. Find the second derivative of f(q) wrt q.\nAnswer: -1440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 63a?\nAnswer: 63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*z**2 + 454 - 70*z + 70*z - 454 - 517*z**2.\nAnswer: -703*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 7. Let l = -17\/14 - -5\/7. Which is the nearest to l? (a) -3 (b) -3\/8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 22 + 52 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -11*t**3 + t**2 - 2*t - 4. Determine r(2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3455\/4, 0, -3, -4, 0.3.\nAnswer: -4, -3, 0, 0.3, 3455\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1733*c + 5263*c + 54425 = -779*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1688 is divided by 1643?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17\/7 (b) 0.1 (c) -1015\/64 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3500 and 200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-55183.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 338 times 1.7\nAnswer: 574.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 6. Solve -4*v + p = -0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mww when three letters picked without replacement from {p: 1, b: 2, r: 1, s: 5, m: 2, w: 2}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23113204 + 2?\nAnswer: -23113202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -500403*p. Let c(x) = -x. Calculate s(c(k)).\nAnswer: 500403*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 3)\/(11 + 3). Let r = 2\/215 + -661\/1720. Suppose -2 = -2*i - 8. What is the third biggest value in r, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - -1769?\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**8\/1176 + j**7\/735 - j**6\/210 - j**5\/105 + j**4\/84 + j**3\/21 - 4*j**2. Factor d(c).\nAnswer: 2*(c - 1)**2*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17521275 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8290746 is divided by 188426.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3*(-3)\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by 34606.\nAnswer: -42\/17303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154871887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178.4 + -515.4. Let r = 3221560.0309 - 3221897. Let v = r - u. What is v rounded to three dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 2*m**3 + m**4 - m**3 + (-5*m + 2*m**2 + 5*m)*(3*m**2 - 3*m**2 - 2*m**2).\nAnswer: -3*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:32 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1093686 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2 - (-19 + 5)) + -4 - -6) + -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, 115, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.149 + -0.063. Let k = -28107 + 28108. Which is the third smallest value? (a) y (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**3\/3 + g**2\/2 - g - 7. Let b(v) = 3*v**2 - 2*v. Calculate 2*a(t) + b(t).\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 3*s**2 + 3*s**2)*(-10*s - 11*s + 0*s + (0 + 3 - 4)*(3 - s - 3) + 0*s + 0*s + 2*s).\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 892822 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -277 + 204. Which is the biggest value? (a) 0.1 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 105430?\nAnswer: 632580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -370, -556, -742, -928?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/286751 and -59\/3.\nAnswer: 860253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - g**2 - 3*g + 4. Let b be x(2). What is the highest common factor of b and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8857, -3, 9 in increasing order.\nAnswer: -8857, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4149, -5362, -7391, -10236?\nAnswer: -13897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) 0.4 (c) 9 (d) -1\/8 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1658, 3317, 4978, 6641?\n\"Answer: a**2 + 1656*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-31 + 29)\/((-4)\/(-86074)). Let i = k - -1936583\/45. Find the common denominator of 13\/5 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 25. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**5 + 2*a**5 + 2*a**5 + (-4 - a**3 + 4)*(-570*a - 55*a**2 + 570*a) + 2*a**5 - 6*a**5 + a**5 + 2 - a**5 - 2.\nAnswer: 49*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7*-538002\nAnswer: 3766014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*i + 6*i = 1, 5*z - 29 = -i. Solve 0 = -z*a + 19 + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1342, -10470, -35138, -83110, -162150, -280022, -444490, -663318?\nAnswer: -944270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 35. Solve b - 4*b = 2*v - 6, 0 = -b + 2*v + l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1aa17 + 1?\nAnswer: 1aa18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27180264.\nAnswer: 2, 3, 1132511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840661437.\nAnswer: 3, 7, 11, 233, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - o**2 - 2*o**4 - 5*o**2 + 9*o**2 - o**2 - o as u*o**2 + b*o**4 + d + x*o + i*o**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*x + 11*x. What is the second biggest value in -3, 0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*l + 6 - 3, 0 = -y - 4*l - 4. Suppose -2*o - 4*x = y, 2*o - 2*x + x = 10. Let k(v) = o - 3*v + 1 + 0. Calculate k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37180933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 181, 1541, 5255, 12499, 24449?\n\"Answer: 196*x**3 + x**2 - 15*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/9 - 22*x\/3 = 0. Calculate x.\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -324 - -601\/2. Find the common denominator of k and -11\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5\/7, -2\/41, 2, -2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53610*u + 18759*u + 1 + 49076*u - 1.\nAnswer: 121445*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 8438*s**2 + 8438*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(24\/7)\/(m**(-8)\/m)*(m*m**28\/m)\/m*m**(3\/5) assuming m is positive.\nAnswer: m**(1401\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 3*a**2 + 6*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11303000 (base 4) in base 3?\nAnswer: -1012120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and (-4)\/1*(-8 - -7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p - p)*(-8*p**3 + 12*p**3 + 3 - 10) as v*p**3 + z*p**4 + r*p**2 + x + m*p and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*b + r, 0 = r + 3*r + 4. Suppose 5*l - 16 = -b*s, s + 4*s = -2*l + 14. Solve s*m + 9 - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*m + m = -10, 20 = 4*c - 4*m. Let x(a) be the first derivative of a - 1\/3*a**3 + c - 1\/2*a**2. Let v(i) = i**3 + 2*i - 2. Give -v(t) - 2*x(t).\nAnswer: -t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 12*q = 210. Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 4) to base 5\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 168979 and 0.05.\nAnswer: 8448.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -368.246 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.581 + 0.4.\nAnswer: -15.181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/5, -4, 6, 5 in ascending order.\nAnswer: -4, -16\/5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 1)*(-7*x**4 - x**4 - 3*x**4).\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221101121 - 2?\nAnswer: -221101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.19 + -0.19. Which is bigger: -1\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**3 + 8*h + 115 - 50*h**3 - 116.\nAnswer: -20*h**3 + 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*b - 3, 0*r + 2*r + 2*b = 0. Suppose 0 + 3\/2*y**5 + 0*y**4 + 0*y**2 - r*y**3 + 3\/2*y = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 874 and 217220464.\nAnswer: 217220464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 23, 14 in decreasing order.\nAnswer: 23, 14, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -17. Let g(o) = -22*o**2 - o + 1. Calculate g(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19518867*x**2 - 124085396 wrt x?\nAnswer: -39037734*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -40*t + 50. Let n be a(-14). Suppose n + 38 = 6*l. Calculate the lowest common multiple of l and 3.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqrrxxv. What is prob of picking 1 x and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/368*(-8)\/(-36).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*h + 5*p, -8 = 10*h - 14*h + 4*p. Let n be (-3 + 0)\/((-9)\/6). Suppose s + 3*s - 32 = h*y, n*s - 3*y = 12. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3208212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/2)\/((-2)\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*j + 12115, 17*j - 2418 = -w + 13*j. Suppose -2*y + 2432 = w. Suppose 0 = -2*x + 21 + 3. What is the remainder when x is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 2*q**3 + 5*q**3)*(205*q - 241 - 31*q + 241).\nAnswer: 348*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -142*r**2 - 1703*r + 11. Let f be g(-12). Which is the nearest to f? (a) -105 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305496 by 101832.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340 and 173060.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - c + 34. Determine a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803 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: What is the nearest to 2\/7 in -2\/9, -0.2, -12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4976, -10265, -15554, -20843, -26132?\n\"Answer: -5289*p + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 14*b + 72. What is r(12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4 + 462*p**3 + 2*p**2 - 462*p = 0.\nAnswer: -1, 0, 1, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/15)*q*q**(1\/6))**(-27\/5))**(14\/13) assuming q is positive.\nAnswer: q**(-189\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -3 + (-2)\/(-1))\/2. Suppose 4*g + 12 = c, 0*n = -n - 2*g + 120. Suppose -11*f + 10*f + n = 0. Calculate the highest common factor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/5))**(-2\/19))**(-47) assuming u is positive.\nAnswer: u**(658\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 2*u**2 - 2*u + 3. Suppose -14 = -4*x - 6. Let k be i(x). Which is bigger: -3\/7 or k?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -0.6691.\nAnswer: 4.3309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 17*n**2. Let z(i) be the second derivative of i**4\/24 - 9*i**2\/2 - 3*i. Let f(o) be the first derivative of z(o). What is l(f(m))?\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 5. Let w be o(8). Let g = -6 + w. Suppose -4*y = -5*y + g. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -766 (base 15) in base 10?\nAnswer: -1671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1765 = 8*x - 1939 + 1400. Solve -69*s + x = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p = 14 + 40 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, j: 2}. What is prob of picking 1 i and 1 j?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 164 times -0.11629\nAnswer: -19.07156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1449.5 - 1450. Sort -1, l, -0.41 in increasing order.\nAnswer: -1, l, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + k**2 + 7*k + 9. Let j be (24 - 19)\/(-1 + 0). List the prime factors of r(j).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 4*d**2 - 3. Let q(l) = 2*l**2 + 4*l. Let m(y) = 4*y**2 + 7*y. Let j(z) = 4*m(z) - 7*q(z). What is t(j(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -7*q**5\/10 + q**4\/6 + q**3\/2 + 364*q + 7. Let r(p) = -71*p**3 + 11*p**2 + 16*p. Determine 11*k(i) - 2*r(i).\nAnswer: -12*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/63 and 0 - ((-110)\/(-88) - (-313)\/(-108)).\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2.8. Let s = -0.8 - k. Let g = -4 - s. What is the nearest to 0 in g, -5, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 10*l**2 + 16*l. Let u(g) = -6*g**2 - 2*g + 9*g**2 - g - 5*g**2. Calculate 2*t(i) + 11*u(i).\nAnswer: -2*i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2292525 and -7\/6368125.\nAnswer: 57313125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -202279a (base 11) in base 3?\nAnswer: -20201200101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (2 - 3)*1. Differentiate -m**2 + 1 + m**2 - 3 + 2*m**x with respect to m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5608*u**2 + 29436*u wrt u?\nAnswer: 11216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1868437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 2*x**3\/3 - 8*x**2 + 42*x - 18. Let l be n(8). Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000216124 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (82*c - 31 + 34 - 394*c - 151*c)*((0*c + 4*c - 3*c)*(2 + 2*c - 2) - 12*c**2 + 6*c**2 - 19*c**2) to p*c**2 + g + j*c**3 + r*c and give p.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287707 (base 11) in base 14?\nAnswer: -41b562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 632 - -338. Let t = h - 893. Calculate the lowest common multiple of 66 and t.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 4*p**2 - 2*p - 2. Let u be a(2). Suppose -5*g + 1 = -2*c, g + 2*c - 2 + 9 = 0. Let q = g - u. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*u**2 - 209*u**2 - 114*u**2.\nAnswer: -416*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -40*v**3 + 46*v**2 - 2*v - 23. What is the ten thousands digit of w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1008\/108 - (-1 + 11).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/13 + 533324*a + 462206044586 = 0 for a.\nAnswer: -1733303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2805796698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -561181113 divided by 3\nAnswer: -187060371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, j: 2, d: 8, y: 3, e: 1}. What is prob of picking 1 e and 1 y?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -16 - 33) + 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.012 (b) 4 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26442462 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 207\/966*(4004\/(-3))\/(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002217571 rounded to five decimal places?\nAnswer: -0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s. Let y be (-121)\/(-55)*25\/5. Let b(f) = -2*f. Let q be (-9)\/2*(-10)\/(-15). Let x(c) = -c + 1. Let r be x(q). Give r*n(m) + y*b(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -861, -1822, -2841, -3918, -5053, -6246, -7497?\n\"Answer: -29*m**2 - 874*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96) + sqrt(96)*-1)*-4)\/sqrt(4)*-5)\/((sqrt(128) - (2*-1*sqrt(128) + sqrt(128)))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187721409 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 208130780 rounded to the nearest 100000?\nAnswer: 208100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 7*m**3\/3 + 64*m**2 + 1085*m - 515. Find the first derivative of u(k) wrt k.\nAnswer: 14*k + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 24 = -3*z + 3*n, -2*n + 10 = 4*z. Suppose -z*g = -13 + 1. Suppose 2*s + 11 - 5 = 0. Put g, 4, s in descending order.\nAnswer: 4, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/372*(-45)\/(-210)*(-16)\/(-6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1872 and 6.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6733033*h**2 + 10540481 wrt h?\nAnswer: 13466066*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-7)*h))**(2\/85)\/(h\/(h\/h**(3\/8)))**(-2\/21))**(4\/21) assuming h is positive.\nAnswer: h**(159\/4165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977*u = -243*u - 41480 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*b + 5*b - 13*b.\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 26 = 0. Let l = -61 + n. Let t = -73\/2 - l. Which is the closest to 0.3? (a) 1\/3 (b) 2\/17 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -233766*u**2 + 2*u - 7. Let d be f(-5). Let b = -3055785 - d. Let o = b - 8588382. Round o to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/204*30\/(-24).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1394367827 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 33.71883ml?\nAnswer: 0.03371883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 650.6604 millennia in years?\nAnswer: 650660.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20525.4 + -20525. What is the smallest value in 3\/4, 3\/7, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.28 + 3.28. Let y = -5 + 5.3. Which is the nearest to 2? (a) n (b) -2\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 5*z - 4. Calculate i(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -367044.4+-5136965\nAnswer: -5504009.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 0)*(-15*l - 15*l - 31*l) in the form h + p*l and give p.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8961 or 71685\/8?\nAnswer: 8961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245392 by 61348.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 + 5446*a**2 + a**3 - 5448*a**2 + 2*a**3 + 3 - 16*a. Let p be (3 + -1 - 1) + -9. Is x(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 2)*(-4 + 1 + 1)*(128 + 150 + 67)*(4*v + v - 4*v) in the form m*v + g and give m.\nAnswer: -3450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095113127 to the power of 1\/2, to the nearest integer?\nAnswer: 33092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2123199, -2123205, -2123211, -2123217?\n\"Answer: -6*j - 2123193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -396\/107 (b) 6 (c) -2\/7 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 3*h)*(-2*h + 3*h + 0*h) + 40*h - 40*h - 14*h**2 to the form c*h + s*h**2 + d and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127912 is divided by 776.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/15 - -3\/10. What is the third smallest value in 7, j, 0.09?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -29. Are 25 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11 = 3*t, -3*k + 5*t - 15 = 2*k. Let j = -270.8 - -271. What is the nearest to k in j, -2\/3, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8203.896 + -8231. Let o = b + 0.404. Let p = o - -39.4. Round p to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 - (-5 - (-6 + 12)). What is the smallest common multiple of 8 + n\/(2\/55) and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494244 is divided by 247025.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b = 29*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3\/9 + 106*j**2\/9 - 332*j\/9 + 224\/9 = 0. Calculate j.\nAnswer: -56, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 3968.\nAnswer: 3967.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 0. Let z = 10 - o. Suppose -s + 4 = 3*s. Which is the second biggest value? (a) -3 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11466.716175 and 16?\nAnswer: 11450.716175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 4*v + 2*v)*(2 + 3 - 3)*(0 + 0 - v) + (2 + 3 - 3)*(-6*v**2 + 5*v**2 + 5*v**2) + (2*v + 0*v - 3*v)*(19 - 19 - 14*v) as s*v + b + j*v**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 512 or 14\/14935?\nAnswer: 512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(252) - (sqrt(252) + sqrt(252)*-2 + -3)) + 0 + (-5 + (sqrt(252) + 1 - sqrt(252)) + sqrt(252))*-1 + -5)*-2)**2.\nAnswer: 96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/9, 6\/59?\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/36*(-14 - -17). What is k in -1\/4*k**3 + 3\/4*k**5 - y*k**2 + 0 + 7\/4*k**4 - 1\/2*k = 0?\nAnswer: -2, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 h when four letters picked without replacement from hlxxxxllxxxtlll?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -96 times 0.4\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 - 98\/(-12) - 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160012610 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 69060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(72) + (sqrt(12) - sqrt(36)\/sqrt(3))\/sqrt(2))\/(4*sqrt(27) - (sqrt(3) + sqrt(48))*2).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51854037 is divided by 1083.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2290 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 15718 - 15718.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29047, 58093, 87143, 116197?\nAnswer: 145255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 166 + 101. What is the units digit of ((-12)\/(-5) - 10\/25) + t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.217 to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 40, -1 in increasing order.\nAnswer: -1, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + k + 9, 4*k - 4 = 0. Solve -w + 4*z + 10 + 2 = 0, -15 = -g*w + 5*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 199, 4\/3, 2, -9666 in decreasing order.\nAnswer: 199, 2, 4\/3, -9666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o, o = -4*c - 34 + 1508. Suppose -a - 3*a = -c. Is a\/9 + (-14)\/63 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g + 16 + 6 - 29 + 7.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(224)\/sqrt(4) - (sqrt(448) + 2*sqrt(448) + sqrt(448))\/sqrt(8))\/(-2*-2*sqrt(648))*4)**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*84\/1960*5)\/((342\/(-4))\/3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 35. Let w(l) = -l**2 + l. Determine g(u) - w(u).\nAnswer: -u**2 - u + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + sqrt(2448) + -5)*6*-1)**2*4.\nAnswer: -20736*sqrt(17) + 357697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 23*c - 24. Suppose 21 - 1 = 4*r. Suppose 0 = -r*u + 86 - 31. What are the prime factors of m(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1713?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 3*c - 240 = -170, -5*l - 105 = -5*c for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376001 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 5\/2*u**2 - 5\/4*u - 5\/4*u**3.\nAnswer: -5*u*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-17)\/7)\/1 - 75\/(-175). Calculate the common denominator of -38\/9 and 426\/(-294) + t + 4.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a36124 (base 11) in base 8?\nAnswer: -6257146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w + 40 = 0. Suppose -w*h + 50 = -9*h. 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 i(j) = 2 + 0 + 1 - j + 1. What is the remainder when i(2) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*d + 2. Let g be (d\/2)\/((-1)\/(-6)). Determine n so that 2*n + n + n + 0*n**g - 4*n**3 + 2*n**4 - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -754*r**2 + 2741*r + 2745. What is j(-1)?\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(42)*-2 - sqrt(3402)*1)\/((2*sqrt(150) - sqrt(150))*5 - sqrt(150)))**2*-1.\nAnswer: -63\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppi when three letters picked without replacement from ppccwccpicif.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214218?\nAnswer: 2, 3, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -63*s + 1947. Calculate u(31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 17*m - 149. Let i(r) = 4*r - 37. Let h(v) = 2*g(v) - 9*i(v). Calculate the smallest common multiple of 19 and h(12).\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15*j + 813 = -11*j, -5*a - 2*j + 1355 = 0. Suppose -5*l + 4596 = a. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117585177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478807407.\nAnswer: 3, 13, 271, 15101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172707 and 65078?\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64605, 64519, 64275, 63789, 62977, 61755?\nAnswer: 60039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 20*f**2 + 11. Calculate the remainder when 75 is divided by b(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/4)\/(4\/(-16)). Suppose -q + 13 = p. Suppose -184*j = -175*j - 45. Calculate the highest common divisor of j and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2273.3 + -2271.3. Let m = 0 + -1. Which is the closest to -1\/4? (a) z (b) 0.4 (c) 1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -451 + 271. Let h = -89 - d. Calculate the remainder when h is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2 - 4*x + 3)*(67*x**2 + 2418*x - 2418*x) to the form m*x**2 + k*x**3 + y*x + s and give k.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 175361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -2 in descending order.\nAnswer: -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 6*t + 18 = 0. Suppose 0 = -n + 3, -4*r + 2 + t = -5*n. Let c be (-10 + r)*1\/(-1). Solve -4*o + 3 = c*s, 0 = -5*o + 4*s - 43 + 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/304686242 and 43\/43526606.\nAnswer: 304686242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*b + 32 = 48, 2*b - 12 = 2*s. Let g(x) = 2*x - 3. Let a be g(2). Let h(z) = -8 - 2*z - 3 - a. What is h(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -25. Suppose q = 2*c + 5. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7261 - 7172. What is the lowest common multiple of 445 and t?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*u**3 - 1016*u**2 + 139*u**3 - 556*u**2 - 50447*u**4 + 50446*u**4 wrt u.\nAnswer: -24*u + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpqggpkkkkgpkpg. Give prob of picking 1 k, 1 g, and 2 p.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (11 - 13))*1\/(-19). Which is the closest to 0.1? (a) 2\/7 (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*u - 5*y - 12, -3*y = u + 11. Let x be (u\/5)\/((-11)\/110). Calculate the highest common factor of x and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5525 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-616)\/(-238)*(-1224)\/(-144)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-8))\/5)\/((-7)\/(-28))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*4 - (-6 - -8). Solve v = 2*w - 2*p, -2*p = -6*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -840*v**2 + 119*v. Let s(g) = -42*g**2 + 6*g. What is -6*q(b) + 119*s(b)?\nAnswer: 42*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.159055 to one decimal place.\nAnswer: 128.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -236 + 242. Let m(x) be the second derivative of -x**4\/12 + 7*x**3\/6 + 3*x**2 + 4*x. Let o be m(v). What is the greatest common factor of o and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/15)\/3*-5. Find the third derivative of -21*b**3 - 2*b**2 + r*b**2 + 20*b**3 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*c + 24 = 0. Suppose g - 10 = -c*k - g, -5*g = -10. Solve 0*b = k*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, 5*p = -3*c + 6 - 1. Suppose 4*t + 3*m = -1 - p, -2*m - 6 = -2*t. Let q be 1*6 + (t - -1). What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28170 and 24?\nAnswer: 112680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*k + 173*k - 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 15, 49*m + 2*h + 8 = 47*m. Let a be 1\/3 - (-68)\/(-114). Is m >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 5*r - 10. Let t = -16 - -9. Let k be d(t). What is the third derivative of -6*q**2 - q**2 - 3*q**5 - k*q**5 wrt q?\nAnswer: -420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - d + (2 + 1 - 1)*(0*d + 0*d + 4*d))*(-4 + 7 - 2) + 109*d - 232*d + 8*d.\nAnswer: -108*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 + 185. Let q = -61 + l. Let m = -41.65 - -41.6. Which is the second smallest value? (a) q (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 0.38\nAnswer: 27.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -20, 40, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 64*r + 192.\nAnswer: 4*(r + 4)*(r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -9.3?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by -26.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r**2 + 312*r - 95. Let m(j) = 73*j**2 - 2535*j + 761. Let h(g) = 65*f(g) + 8*m(g). Let q(w) = -2*w**2 + 0*w + 0*w. Give h(q(t)).\nAnswer: -4*t**4 - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*n**2 + 21 + 20096*n - 20096*n - 21.\nAnswer: 150*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 37*h**5\/60 - 8*h**2 - 9*h. Let o(f) = 10*f. Give t(o(y)).\nAnswer: 3700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -109187*n**2. Let t(h) = 4098*h**2. Calculate a(t(s)).\nAnswer: -1833643239948*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.2, -3, -5, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 59*r + 74. Let b be q(-28). Let p = 4 - 2. Put 1, p, b in ascending order.\nAnswer: b, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582964310.\nAnswer: 2, 5, 58296431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 128 - 162 = 0. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = -4*c - 5*q + 5, 0 = -5*c + 4*q + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 52900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -287 (b) -1 (c) 9\/25 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-27)\/6) + (-4520)\/(-6). Let h(n) = 754 - l - 10*n**2. Let q(g) = 17*g**2. Calculate q(h(c)).\nAnswer: 1700*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*v - 13, 6 = x + 4*v + 1. Let t = 15 + -11. What is f in -f**2 + f + 3*f**2 - t*f - x*f + 10 = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 213, 217, 221?\n\"Answer: 4*p + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 150. Let y = 11 + l. List the prime factors of y.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 441*d**5\/20 + 110*d**4\/3 - 589*d**2. What is the second derivative of f(v) wrt v?\nAnswer: 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/8 and -33\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-20220)\/(-45) + 16 + 4\/(-3)?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in 0.5, 2\/11, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -139876 + 53603*m - 1500*m**2 + 6832*m + 114005*m + 4*m**3 - 33068*m.\nAnswer: 4*(m - 187)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176a1a (base 16) to base 4.\nAnswer: -11312220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 2\/53 (c) 1 (d) -35 (e) 453 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -213\/8 + 2817\/104. Suppose -6\/13*d**4 - 2\/13*d**5 + y*d + 2\/13 - 4\/13*d**3 + 4\/13*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 10894665.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18955 minus 15369?\nAnswer: -34324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5021344\/(-195086) - 6\/23?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*v = -2*t + 16, 5*t - 13 = 2*v. Suppose 2*k + t*f = 617, 25*k - 30*k = 3*f - 1538. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*p**3 - 21983*p**2 - 3*p - 61826 wrt p.\nAnswer: 204*p - 43966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17737 or -20688?\nAnswer: -20688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:16 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 56*p**2 - 5*p + 161. List the prime factors of l(-8).\nAnswer: 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w + 1. Determine a(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/60 + 5*d**4\/12 - 2*d**3\/3 + 9*d**2. Let h be 4\/(-10)*20\/(-2). Does 10 divide l(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13795 (base 10) to base 12\nAnswer: 7b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6448 + -6304. What is the greatest common divisor of y and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 + -0.3. Let k = -555 - -556. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -306, -626, -946, -1266?\n\"Answer: -320*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 33166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 993 = 62*m - 65*m. Let l = m + 380. What is the remainder when 143 is divided by l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.6739 millimeters to micrometers.\nAnswer: 88673.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93745 and -0.6?\nAnswer: -56247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.8105323 and -0.5.\nAnswer: -2.90526615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 6 + 6)*(3*h**2 - 2*h**2 + 2*h**2).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10191 + -5996. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (-1 + 5) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196365132.\nAnswer: 2, 3, 997, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 - x. Let m be t(2). Let d = m - -43. Suppose 3*z = 4*u + 120, -u + 30 + d = z. What is the remainder when z is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 5*sqrt(20))**2 - ((sqrt(150)\/sqrt(3))\/sqrt(10) - sqrt(5))) + 1 + -1.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.5 + 43.55. Let u = -0.2 + 0.2. What is the third biggest value in 4, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(16*i - 162*i - 255*i)*(-1 + 4 + 0).\nAnswer: -3609*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 70780 + 202465. Suppose 6*w - w = x. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3782074553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 0*g - 112. Let p = -20 + g. What is the greatest common factor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) + 1 - 1. Let r = 5 - 7. Let q = 25 + -20. Which is the biggest value? (a) p (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u + 0*u)*(-1 + 2 - 2)*(18*u - 3*u + 0*u)*(2*u**2 + 2*u**2 - 2*u**2).\nAnswer: -90*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 0*l + (2*l - 3*l + 3*l)*(-2 + 0 + 0))*(-3 + 5 - 1).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 91015381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 2*b**2 + 2*b + 7058. Let j be i(0). Suppose -w - j = 5*m - 0*m, w = 2. What is the common denominator of 86\/15 and m\/540 + 4\/30?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11*b - 15. Let p(x) = 6*x - 7. Let u(i) = 4*l(i) - 7*p(i). Let m(h) = h - 5. Let d = 87649 - 87636. What is d*m(c) - 6*u(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 5:31 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 25515 = -9985. What are the prime factors of d?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 33 + -16 - -41?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - 16531?\nAnswer: -16561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2160946?\nAnswer: 2, 19, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3483442 to the power of 1\/2, to the nearest integer?\nAnswer: 1866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 11:07 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-69)\/230 - (-24733)\/10.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h + 63 = -6*h. Suppose -2*c - h*c + 5050 = 4*x, 0 = -4*c + 3*x + 4071. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 19*i**2 - 4*i + 20. Let o be (24\/60)\/((-2)\/60). Let x be k(o). What is x rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 59.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. Let y = -6\/67 + -159\/469. Suppose -173*h + 165*h + 40 = 0. What is the smallest value in y, b, h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y + 1. Let g = y + 3. Suppose 0 = -g*b + 2*b + 16. What is the third biggest value in -0.1, b, 3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8910 - -8762) + (156 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -z, -g - 3*g - 8 = 0. Solve 7*d + 9 = z*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**8\/168 - d**6\/45 - 3*d**3 - 9. Let z(x) be the third derivative of q(x). What is the third derivative of z(l) wrt l?\nAnswer: 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6515, -13022, -19535, -26072, -32651, -39290?\nAnswer: -46007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sub when three letters picked without replacement from zzdbzudbddsdbdzzu.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:31 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 5:32 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (1 + (6 - 7) + -13) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 6:16 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 16 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 6*w**3 + 3*w**3 + 4*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 at least -122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 2:28 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 0 + (80 - 75).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-340)\/(-17))\/((-3234)\/(-203)) - 45\/35?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 640 - 580. Let k = 360 - 301. Are k and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 2*i + 1. Let s be m(3). What is the closest to -1 in s, -4, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772*z - 12936 = -780*z. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 1 o when three letters picked without replacement from hrrxhroohrhoohrhhh?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 209378581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 + 184747*g**2\/3 + 431062*g\/3 + 123160\/3 = 0. Calculate g.\nAnswer: -61580, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/27 - 21051\/(-27). What is the greatest common divisor of 468 and d?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**3\/q)*q*q)\/((q\/q**(-2))\/q))**39 assuming q is positive.\nAnswer: q**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 90 = 27*w. Calculate the remainder when 28 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1584) + 2)**2 + -1 + sqrt(1584)*-1 + (4 + (sqrt(1584) - sqrt(1584)*-1*-5)*4)**2.\nAnswer: -1428*sqrt(11) + 407128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290481 is divided by 32239?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31426, -31433, -31444, -31465, -31502, -31561, -31648?\n\"Answer: -c**3 + 4*c**2 - 12*c - 31417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 6*x**2 + 6*x + 8. Let p be w(7). Let j = 2 - p. Let h be (-1 - 1) + 11 + -15. Sort j, h, -4 in decreasing order.\nAnswer: j, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4 - t**4 - 2 + 2 + 2*t + 2*t**2 to w*t**4 + h + o*t + n*t**3 + m*t**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/7 - 7848*d**4\/7 - 1268868*d**3 + 17819048*d**2\/7 + 26693274*d\/7 = 0. Calculate d.\nAnswer: -919, -1, 0, 3, 4841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j. Let m(b) = -9*b**2 + 5*b. Let p(a) = 4*a**2 - 2*a. Let d(h) = 2*m(h) + 5*p(h). What is f(d(r))?\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.672232 weeks?\nAnswer: 67256.09856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5*1\/3)\/(25\/(-75)). Solve 0*k = k - p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*3\/6 - -2)*-38. Let d be (f*(-2)\/20)\/((-296)\/370). Sort d, -4, -3 in descending order.\nAnswer: -3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -7*r + 24*r. Let z(m) be the first derivative of r*m - 5\/2*m**2 + 3. What is the first derivative of z(n) wrt n?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157321 divided by -3855\nAnswer: -157321\/3855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 13*y = -31*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 233ba4 (base 12) in base 8?\nAnswer: 2122754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*m - 3578, -706 = 3*m + 5*x - 2836. Calculate the smallest common multiple of 390 and m.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (21\/(-14))\/(0 - -3). Let x be -4*(-1)\/(32\/(-6)). What is the second smallest value in j, 0.1, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -22. What is the second smallest value in 1, 3, 1\/2, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 369, 252, 133, 6, -135?\n\"Answer: -g**3 + 5*g**2 - 125*g + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00679719 rounded to four dps?\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 3:57 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-40)\/(-16))\/((-2)\/(-4)). Let v = -20 + 13. Let s = v + p. Let t(b) = 2*b - 2. Determine t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**5\/20 + g**4\/12 - g**3\/6 - 5*g**2\/2 + 25*g. Determine k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = 2. Factor 136*q + 124*q + o*q**3 - 278*q - 15*q**2.\nAnswer: 3*q*(q - 6)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -659*v**3 + 7*v + 11. What are the prime factors of q(-2)?\nAnswer: 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k + k)*(720*k**3 - 291*k**2 + 291*k**2) + 2*k**4 + k**4 - k**4.\nAnswer: 2162*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -1.386\nAnswer: 2.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2407, 9630, 21671, 38530, 60207?\n\"Answer: 2409*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-3) - 63252\/(-36). Solve -1762*v = -o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1573\/9 + 175. Let q(n) = 2*n**2 - n + 2. Let p be q(2). Let r be (-4)\/p*2\/4. Is t != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 3*k**2 - k**4)*(-5 + 2*k + 5) + (1 - 1 + k)*(-4*k + 4*k + k**4).\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - n + 176. Let s be r(0). Suppose 5*m - 621 = -s. List the prime factors of m.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519 = -73*b - 121*b - 451 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/34704 and 77\/276.\nAnswer: 798192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 5*p + 2*p + (-1 + 2 + 0)*(3*p - 4*p + 2*p) - 3*p + 2*p + 5*p)*(0 - 1 + 2*p**3 + 2).\nAnswer: 4*p**4 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 25 + m**2 - m**2 + 0*m - 3*m**3.\nAnswer: -3*m**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5184 + -233234\/45. Calculate the common denominator of m and -5\/48.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -28 in increasing order.\nAnswer: -28, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*a**3 + 67*a**2 - 66*a**3 + 92*a**2 + 39*a**2 - 18*a**2 wrt a?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 50 = -9*i. Let s(d) = d**3 + 12*d**2 + 4*d. What are the prime factors of s(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n + 1. Let r(y) = -y**2 + 2*y. Let p be (-25 + (-918)\/(-36))*(-4 + -2). What is p*r(v) + 4*q(v)?\nAnswer: -v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 1743*f**3 + 20628*f**2 - 82128*f + 109248.\nAnswer: 3*(f - 569)*(f - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 369, -1, 0.05, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 425140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, g: 2, t: 7}. What is prob of sequence tt?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -610, -608, -596, -568, -518, -440, -328?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 6)*(-49)\/(-28). Do t and 7 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1992472926 to the power of 1\/2, to the nearest integer?\nAnswer: 44637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54, -74, -82, -72, -38, 26, 126, 268?\n\"Answer: z**3 - 27*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3\/7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1282\/8)\/(((-21)\/28)\/(387\/(-3))).\nAnswer: 43, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 12:15 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.305, 5, -2, 18, 0.1, -3 in decreasing order.\nAnswer: 18, 5, 0.305, 0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 427963 - 1317963. Round w to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 13*s**2 - 20*s + 1. What is the units digit of i(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, 0, 928 in descending order.\nAnswer: 928, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1))**(14\/3))**(-5\/4)*(q**(-8)\/(q\/q**(-3)))**(2\/81) assuming q is positive.\nAnswer: q**(-8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -90.17 in 1\/3, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 51*h**2\/2 - 22*h - 4. Let w be a(12). Suppose -2*q = -12*q + w. What are the prime factors of q?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -574.2 + 574. Put 133, k, -2 in increasing order.\nAnswer: -2, k, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865 = 3*n + 4*x + 874, n - 2*x + 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:49 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*v**2 - 543*v + 24250 wrt v.\nAnswer: -18*v - 543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 19*m - 60. Let q(n) = -4*n + 15. Give -9*q(s) - 2*v(s).\nAnswer: -2*s - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52862, -207875, -466230, -827927?\n\"Answer: -51671*j**2 - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 1, 12, 47, 118, 237?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 4*v**5\/5 + 9*v**4 + 97*v**3\/3 + 36*v**2 + 16*v + 27. Factor l(b).\nAnswer: (b + 4)**2*(2*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n. Let h(j) = j - 1. Let g(i) = 32*i - 34. Let x = 31 + -37. Let q(k) = x*g(k) + 204*h(k). Calculate y(q(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58607 is divided by 2781?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 17*s**2 + 2*s + 25. Let c be t(-17). Let n = -5 - c. Suppose 7*g - 2*g - 83 = -l, l = -n*g + 66. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317531789.\nAnswer: 317531789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 202180117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 620881548 - 10307?\nAnswer: 620871241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 2*t**2 + 48*t + 18. Let d be o(8). Solve v + 34 = d*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65889 is divided by 13076?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -173 - -0.13\nAnswer: -172.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71128498 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30186, -120734, -271646, -482922?\n\"Answer: -30182*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*(sqrt(891)*-3 - sqrt(891))*-1 - (4 + sqrt(891)*3 + 2)))**2 + 5.\nAnswer: 18900*sqrt(11) + 1092380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 7)*(-z + 3*z - 4*z) - 3*z + 13*z + 5*z to t*z + v and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*b - 54*b + 3*b + 24*b + 630 to the form o*b + z and give z.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 - -1000001111?\nAnswer: 1000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - p**2 + 1. Let d be u(-2). Suppose 3*x = d*g + 9, -g - 6 = -2*x - 3*g. Suppose 12 = x*i + i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -27?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-55)\/(-132)*54\/15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9553932 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a0 + 4?\nAnswer: a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -4*sqrt(891))*1.\nAnswer: -27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = -43*p + 82*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1060\nAnswer: -4240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*g - 3*d + d + 4*d, -3*g - 3*d + 9 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3612 and 1301524?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 15. Which is the second biggest value? (a) 1 (b) k (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37710.29 kilograms in tonnes?\nAnswer: 37.71029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*(-4)\/(-2). Suppose -4*i = 12 - 32. Suppose 0 = -i*w - f - 7, 4*h - 138 = 3*w. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 178 = -168 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/24707812 and -19\/18530859?\nAnswer: 74123436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-16 + 9 - (-2 - 19 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7732, 7733, 7734, 7735, 7736, 7737?\n\"Answer: f + 7731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7788 divided by 391?\nAnswer: -7788\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {c: 1, h: 2, l: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123184?\nAnswer: 2, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a**3 + 2305*a**2 + 2303*a**2 - 6913*a**2 + 2303*a**2.\nAnswer: -23*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-260))\/(0 - -1) - 2\/(-27)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 + ((-16704)\/(-459))\/(-4). Is c != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20029 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*k - 711*k - 2373*k + 298248 = 839*k for k.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1263?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5406 + -5401 + (-1 - -96 - -1) - 18.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t - 224. Let l(o) = o + 75. Give 11*l(v) + 4*z(v).\nAnswer: -v - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2019 divided by -3\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*i**3 - 23*i**2 - 1 - 26*i**3 + 124*i**2 - 219*i**3.\nAnswer: -108*i**3 + 101*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h + 92. Let t = 60 - 92. Let v = -26 - t. What is the remainder when h is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(700)) + ((sqrt(56) + sqrt(56)*4)\/sqrt(4))\/sqrt(2))**2.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*-1 + sqrt(245)*-2)*-6)**2.\nAnswer: 52020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:40 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:22 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 133\/438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:17 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 40*i - 274. Determine f(-31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + 13 - 13 - 2*t**3 + (2*t + 5*t - 5*t)*(3*t**2 + 5*t**2 - 2*t**2).\nAnswer: 10*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*q + q. Let d be 6*(9\/(-6) - q). Let o = d - -4. Which is smaller: -2\/31 or o?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/11, -0.1, -1.7, 0.6?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**2\/7 + 61908*q + 1300104\/7 = 0.\nAnswer: -3, 108342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*r - 506 - 191 = -19*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106778.\nAnswer: 2, 7, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-18) + 6\/9.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793*y - 5635*y - 53120 = 74*y + 138*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 64\/3 of a hour?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -d71a8?\nAnswer: d71ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -10*x + 448. Let y = 67 - x. Is -157 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 24 = 3*c, 7 = -3*c - 20 + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99920 (base 11) to base 13.\nAnswer: -50c20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -235? (a) 0.3 (b) 8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*k + 18, 0 = -2*s + 3*k - 7 - 10. Let h(b) = 2*b**3 + 13*b**2 - 7*b. Let y(g) = -g**3 - 4*g**2 + 2*g. What is s*y(i) - 2*h(i)?\nAnswer: 3*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - i**2 + 4)*(-3*i**2 + 2*i**2 + 2*i**2) + (2*i**2 - 7*i + 7*i)*(0*i**2 + i**2 + 2*i**2).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 8. Let r be n(-7). Let q be (2\/(-3))\/(r\/6). Suppose 4*m + 4*s = q, -2*m + m = -2*s - 4. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t**4 - 20*t**4 - 1 + 12*t**4 + 3*t**3 in the form y*t**2 + z*t**3 + i + q*t**4 + v*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4737 + 33157\/7. What is the nearest to r in -2, -5, 23, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**3 + 2*v + 6. Let y(a) = -2*a**3 - 2*a - 5. Let k(t) = 16*t - 8. Let r be k(4). Let o = 62 - r. Give o*y(j) + 5*q(j).\nAnswer: 3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 13176863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42916 from -20030.\nAnswer: -62946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 16*c + 51. Calculate l(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llqa when four letters picked without replacement from lqlaaqalallllaqqqaq.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27074 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -1 + -5 + 1 + 3*sqrt(98))**2.\nAnswer: -280*sqrt(2) + 1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*801345.\nAnswer: -4006725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r + 74. Let k(b) = b**2 - 5*b + 4. Let h be k(4). Suppose 2*u = -w - 2, -u - 1 = w - h. Is s(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o + 17*o + 0*o - 60*o**3.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 116*u**2. Let x(p) = -3*p**2. Determine i(x(t)).\nAnswer: 1044*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -263 - -301. Suppose -40*f + 4 = -o*f. Find l, given that -2\/13*l**3 + 0*l + 0 + 2\/13*l**f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 2. Let p(d) be the first derivative of d**4\/24 - 8*d**2 - 8. Let y(m) be the second derivative of p(m). What is -r(v) - 4*y(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t*t*t**(-22\/3))\/t)*t*t**(9\/7))**(-43))**(-38) assuming t is positive.\nAnswer: t**(295754\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1403 - 0?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8*((-43)\/3010)\/(12\/45)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -120, -200, -294, -408, -548, -720, -930, -1184?\n\"Answer: -i**3 - i**2 - 70*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13495 - -13494.983347. Round p to four decimal places.\nAnswer: -0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587946 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*s + 387*s - 120*s + 6*s**3 - 132*s - 5*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-3))\/(3\/(-9000)). Round i to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 713.5931 millennia to decades.\nAnswer: 71359.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69750 and 4185.\nAnswer: 209250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.09 + -0.09. Let j = -6 + 5.6. Let m = -0.3 - j. Which is bigger: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(448)*-3 - 6*(1 + sqrt(448))) + 2.\nAnswer: -72*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3 - 15. Let v(p) be the second derivative of -p**5\/20 - 7*p**4\/12 - p**3 + p**2\/2 - 11*p + 3. Let s be v(g). Which is smaller: s or -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = x + 3*x. Let p = x + 18. Calculate the smallest common multiple of 33\/6 - 1\/(-2) and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5520*d + 546435. Give x(99).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1) - 450\/(-3). Calculate the common denominator of ((-1)\/(-5))\/((-2)\/(-106)) and ((-10)\/16)\/((-2)\/l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x - 44. Let m be t(-12). Solve 0 = -4*y + 2*c + 32, 19*c - m*c = y - 18 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -479 + 117. Is 11 a factor of (k - 1)*(21\/(-9))\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -17. Solve 4*x = 3*z + 4, z + p*x = x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56, -91, -128, -167, -208?\n\"Answer: -a**2 - 32*a - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let b be t(1). Suppose 0 = -x + 42 - b. Let n be ((-2)\/14 - (-4 - (-2375)\/525))*-15. Calculate the greatest common divisor of n and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/13 - -3) + (-12)\/(-21)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382561 > 382534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqoqolqtlowqet. What is prob of picking 1 q and 2 o?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -488622 or 5?\nAnswer: -488622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, -1, 253, -4, 2\/9.\nAnswer: -4, -1, -0.2, 2\/9, 3, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**2 + 4*g - 5. Let x be n(5). Suppose -z - 4*z = -x. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.28 - -11.272. What is q rounded to one dp?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(85)\/sqrt(5) + -4.\nAnswer: -8 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149\/10 + 15. Let z(u) be the second derivative of -2\/3*u**3 + 0 + g*u**5 - 1\/6*u**4 + u + 0*u**2. Let z(i) = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133810267, 133810269, 133810271, 133810273?\nAnswer: 133810275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.89 - -10363\nAnswer: 10365.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**4\/4 + 2*t**2 + 8*t - 1. Let i be 240\/100*(-10)\/6. What is the tens digit of s(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4 + 5. Let c(u) = -10*u**2 - 2*u + 1. Let b be c(-1). Let q = l + b. Let k(d) = -d**3 - 4*d**2 - 2*d - 1. Determine k(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2344 = -7*v - v. Let o = v + 297. Let m = -0.3 - -0.1. Which is the biggest value? (a) m (b) o (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2736 and 27.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287 by 7.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3019 is divided by 189?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)*c)\/(c**(-9\/2)*c*c))\/(c**(-3\/19)*c**(-2\/13)) assuming c is positive.\nAnswer: c**(-1081\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*x - 334 = 0, 825*x = -3*i + 829*x + 250. Let b = 303 - 88. Calculate the highest common factor of i and b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -30*t - 541. Let u be w(-18). Let m(q) = -12*q**2 + 1. Let k(x) = 12*x**2 - x - 2. Let i(h) = -2*k(h) - 3*m(h). Determine i(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/5 and -491 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/720*y**6 - 37*y**2 + 0*y**3 + 0*y + 0 + 0*y**4 - 1\/360*y**5. Determine w, given that f(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1241 - 4215 = -16*w. Let k be 1 + w*1\/(-339). Is k less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*b**4 - 40*b**2*h**2 - 2*b*h - 5*b + 13*h**2 wrt b.\nAnswer: 288*b**2 - 80*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84.1 + -80. Let z = -0.0457 + 3.7457. Let t = z - n. What is the second smallest value in t, 2, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:23 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 - 5*t + 43. Let n(r) = 6*r**2 + 16*r - 130. Let l(q) = -2*n(q) - 7*z(q). Is l(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295020 is divided by 2007?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26405.\nAnswer: 5, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78110 + 14243 - 19900 + 23251 - 113265 - 68292)*(-3 + k**2 + 3) to l*k + f + z*k**2 and give z.\nAnswer: -242073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + j)*(-2 + 0 + 1)*(170*j - 102*j + 172*j).\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*w + 3770 = 0, -t - w = w - 1886. List the prime factors of t.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08262 rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.12 + 18.88. Let g = o + -18.9. Which is the second biggest value? (a) 2 (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1949? (a) 1\/7 (b) -2\/13 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 3*n**3 - 2*n**2 - n + n**2 + 2*n**2 - 3. Let i be d(3). Suppose -5*q = 3*b - 55, 5*q - b = i - 6. What is the highest common factor of q and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4269?\nAnswer: 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 15*l - 132 = 0. Let w be (1603\/(-4) - (-9)\/l) + 0. Let o = -1609\/4 - w. Which is bigger: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 23 = -s, -s - 16 = -k - 2. Let g be ((-4)\/6)\/(42\/k). Which is the closest to 0? (a) g (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.6074271 rounded to 1 dp?\nAnswer: -53.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007406 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -2*m**3\/3 - 51*m**2\/2 - 20*m. Let s be l(-15). Solve -3*n - 2*y = s, -5*n + 2*y - 16 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 39*x - t + 2*t = -10*x + 42, -3*x - 4*t + 168 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -594 + 1986. Suppose 4506 = 6*s + f. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*(21\/7)\/(15\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100011001100101100111001 (base 2) to base 5\nAnswer: -4330231230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffuu when four letters picked without replacement from {f: 4, u: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-1 - (42 + 13))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -25)*((-14)\/((-420)\/(-135)) + 20\/8)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i**3 + i**2 - 11*i + 3. Let f(c) = -6*c**3 - 10*c + 2. Let r(x) = -6*f(x) + 5*u(x). Let g = 3 - 7. Let s = g + 0. Give r(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3421 - 3416. Let w = -5 + 8. Suppose -w*h = -5*h + 8. Solve h*u + u = -q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + 2) - ((-2 - (4 + 6)) + 16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*t + 2 = 0. Solve -8 = 2*p - 3*y, -1 - 11 = 3*p - t*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**3 - 4760*k**2 - 14245*k - 9490 = 0. Calculate k.\nAnswer: -949, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z - 187 = 82*z - 2391. Calculate the remainder when 102 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*k*o**4 - 943*k*o**3 + 213*k*o**2 - 2016*k*o - 99*o**4 - o**3 - o**2 - 69 wrt o.\nAnswer: 1536*k*o - 5658*k - 2376*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 144, 271, 398, 525, 652?\n\"Answer: 127*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -665 + 665.2. Sort -1\/7, n, 58 in descending order.\nAnswer: 58, n, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:48 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.23 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873.02km to centimeters.\nAnswer: 87302000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-16)\/10)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 648 and 2916?\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-17 - (-24 - -9) - 19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - t - 3)*(70 + 2*t - 70) + (0 - 1 + 2)*(t**2 - 3*t**2 + 0*t**2) - 3*t**2 - 2*t**2 + 6*t**2 - 2*t**2 + 1 - 1 + (-1 + 6 - 3)*(-t**2 - t + t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16635 - 182979\/11. Let f = -10 - -10.7. Let j = 0.2 - f. Which is the smallest value? (a) -2 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 548 - ((-108)\/(-9))\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a + 1. Let r be (-6)\/(-4) - (-3)\/6. Suppose 2 = 2*x - r. List the prime factors of k(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8111442*r**3 + 2*r - 13518379 wrt r.\nAnswer: 48668652*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 63, 23, -67, -207, -397, -637?\nAnswer: -927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1237860 = 86*u - 88*u + 105302. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 53. Let x(v) = 5*v**2 + 6*v + 12. Let w(y) = y**2 + y + 2. Let i(c) = -6*w(c) + x(c). What is g(i(l))?\nAnswer: l**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 13212 = -4052. What are the prime factors of f?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = z + 36 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4 - 920*c + 919*c - 4. Let w(f) = 3*f - 3. Let h(p) = 3*p - 2. Let j(i) = 6*h(i) - 4*w(i). Give j(y(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 932612?\nAnswer: 932612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2119194 is divided by 423838.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*t + 612 + 44 = 16. Solve 0 = -17*q + 18*q + 2*o + 4, 3*o = t*q - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.609912866 rounded to four decimal places?\nAnswer: -5.6099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-27) + (-6)\/27. Let d be (0\/(2 + 1))\/y. Let x be d + 5 + -3 - -10. Solve x = v - 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -49\/2*d**5 + 34*d**2 - 39\/2*d**3 + 0 - 84*d**4 - 6*d = 0.\nAnswer: -3, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 <= -22.209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 136.041 millimeters?\nAnswer: 0.000136041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.408 - -21.508. Let q = 21.0998887 - o. Round q to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/4962891 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019449 to six decimal places.\nAnswer: -0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s - 3. Let d(g) = -5*g - 3. Let x(u) = -3*d(u) + 4*j(u). Determine x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -3a00?\nAnswer: 39b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-31 - -21) + (3 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t + 5*t - 154*t + 27*t + 36*t + 46*t + 35*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 0*d**2 + 3 - 4*d + 1\/6*d**3. Let c(g) be the first derivative of i(g). What is c(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27384406 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -542\/411 - 2\/137. Let a = 136\/213 + 2\/71. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/2 + -2)\/(-1). Let n(x) = x**2 + 9*x - 5. Let a be n(m). Suppose -40 = -a*h - 5*k, 0 = -4*h - h + 4*k + 31. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*z - 179*z + 10968 = -23*z for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c**(2\/9)*c))\/c)\/(c*c**(-1\/6)\/c)*c**3\/(c**(-2\/7)*c))\/((c\/(c**(-2)\/c))\/(c*(c\/(c**(-5)*c)*c)\/c)*(c*c**(-1\/2)\/c)**(2\/73)) assuming c is positive.\nAnswer: c**(39035\/9198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0767 and 3580.\nAnswer: -274.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*g = 18, -231 = -o + 4*g - 232 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 2. Suppose 0 = -3*a - 5 + 26. Let q(k) = 7*k - 7. Let z(t) = -8*t + 8. Let b(j) = a*q(j) + 6*z(j). Give -2*b(m) - f(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -0*h + 3*h - 4*o, 5*h - 58 = 3*o. Suppose -4*g = 3*v - 2 - h, -v - 1 = -5*g. Is 68 + 0 + g + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -871 divided by 3.\nAnswer: -871\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000797865 rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 + 39 = 76*u + 148 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b = 62435 - 61995 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 19*g + 146. Suppose -d - 5*y = -6, -y + 3*y = 3*d - 35. What is the remainder when z(-12) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/5)*x\/x**26 assuming x is positive.\nAnswer: x**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 823\/492 + -1\/164. Let m = 2 - l. What is the nearest to m in -4, -2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-9))\/(59\/708))\/((-46)\/(-12))?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from pwwp?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40\/79 + 155\/474. Let h(j) be the first derivative of -4\/3*j - u*j**4 + 5\/3*j**2 + 10 + 4\/9*j**3. Factor h(c).\nAnswer: -2*(c - 1)*(c + 1)*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -442, -1767, -3968, -7039, -10974?\nAnswer: -15767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/7 - 8\/28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -824*x**5 - 3*x**2?\nAnswer: -49440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2. Let m(j) = -570*j**2. Let y(p) = -60*p**2. Let t(d) = 5*m(d) - 48*y(d). Calculate u(t(b)).\nAnswer: -900*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.3 (c) -5 (d) 3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 14*o**2 + 37*o - 3. What is the tens digit of y(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 2, b: 4, w: 1}. What is prob of picking 1 r and 1 t?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide ((-42)\/30 + 1)\/(4\/(-1790))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143113582 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = 3*f. Let r = 6 + f. Let i(n) = -1868*n + 4. Let h be i(r). Round h to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/54)\/((-4)\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - (6 - 6)) - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f - 79. Calculate g(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90677712 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:25 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15679311 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 145235 = -301135. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w - 9. Let t(q) = 12*q - 8. What is 3*o(g) - 4*t(g)?\nAnswer: -15*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3289 and 482287.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 118*o - 4368 = 0, -z - 183 = -359674*o + 359669*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 101\/11 + (-15840)\/(-19360).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1360335 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-357)\/612).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhhh when four letters picked without replacement from qhqqqhqhqqqhqqhqqhh?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 587.0421 millennia?\nAnswer: 7044505.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 7. Let k = -8 + 3. Let s be q(k). Suppose 153*b = 84*b + 138. Solve -s*f + 6 = f + y, y + b = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.1 (b) 2 (c) -18 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.901 - -2.9245. Is b greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*f**2 - 85*f**2 + 257*f**2 - 80*f**2 + 12*f**3 - 13*f**3 - 8*f**3 + 4.\nAnswer: -9*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 115\/(-35) + 4\/14. Let s be ((-2)\/l)\/((-1)\/(-21)). Let w = s + -7. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269 - -273. Suppose -492 = -2*x - c*w, 3*x + 6*w = 5*w + 728. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/54 + (-61)\/9. What is the units digit of z\/(-3) + 3\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*u - s + 82, -3*u = -2*s - 131. Let n = u - -52. Suppose 2*z - n = 261. List the prime factors of z.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107324 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 5*j - j - 7*j. Let z(a) = -12*a + 1. Let t(c) = 5*d(c) - 3*z(c). What is t(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 2, f: 4, e: 3}. What is prob of picking 1 s, 1 f, and 2 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - w + 64*w**2 + w**4 + 130501*w**3 - 130501*w**3 to z*w + m + o*w**2 + h*w**3 + f*w**4 and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 22. Suppose -5*h - q = 1. Let i(k) = k**3 + 5*k**2 + 2*k. Is 7 a factor of i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -179183 - -1a8?\nAnswer: -178a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*40*26\/(-195)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -233 and 964922.591.\nAnswer: 964689.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -70\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 229.04264857.\nAnswer: 228.84264857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 6 = 26. Let r(f) = -4*f + 4. Let q(t) = t - 1. Let u(g) = -5*q(g) - r(g). What are the prime factors of u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4193208625.\nAnswer: 5, 61, 379, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.3. Suppose 2 = -k + r, -7 - 6 = -k - 4*r. Let p = k + -5\/2. Which is the nearest to j? (a) -1 (b) p (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/9 + (-80)\/(-36). Does 3 divide (2 + -1)*s*17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18 - (-22)\/18. List the prime factors of 24 + (6 - 4) + o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13142*a - 19*a**2 - 6533*a - 6609*a.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4*u = -2, 4*m + 30 - 32 = -2*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 3*d**2 - 2*d - 2. Suppose -39*u + 35*u + a = -17, -5*u + 16 = 4*a. Determine n(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**2\/7 - 6276*o - 6093760\/7 = 0.\nAnswer: -137, 11120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/4 + 14541*z**4\/2 - 232739*z**3\/4 - 138180*z**2 - 72725*z = 0. What is z?\nAnswer: -29090, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 42820 and 42820 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17231509 and 11.\nAnswer: 189546599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 46702?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44771184.\nAnswer: 2, 3, 37, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0 - 5\/2*g**2 - 4*g - 1\/2*g**3. What are the prime factors of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.8 - -2.5. Round f to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198*k**2 - 2*k**3 + 54 - 55 - 50*k**2 to p*k**2 + x*k**3 + f + d*k and give p.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/120 and -86\/416685?\nAnswer: 3333480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241154090.\nAnswer: 2, 3, 5, 11, 59, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 13*r + 5. Let h be f(-2). Let d be 31\/h - 3\/(-9). Which is bigger: 1\/3 or d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 0. Let f(l) = -3*l - 6. Let a be f(c). Solve -x - 12 = 3*t, -a*x + 4 = -t - 2*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 - 98. Suppose 0 = d*h - 8183 - 18886. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75214b (base 16) to base 7\nAnswer: 122150460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4.04. Let a = -9.74 + w. Let s = -0.7 - a. What is the second smallest value in 4, -0.3, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (-2 - 4\/2). Suppose 0 = v*a - 3*a + 12. Let s = a - -8. Solve -5*u = -s*u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**8\/280 + f**5\/15 - 3*f**3 - 3*f. Let d(m) be the second derivative of q(m). Find the second derivative of d(h) wrt h.\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -397.5 + 397. Let a be 1\/2 + (-5)\/(-4). What is the third smallest value in 4, z, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 2*b**2 - 3*b**2)*(3 - 3 + b) + (-50*b + 152*b + 171*b)*(5*b**2 + 42 + 25*b**2 - 39 + b).\nAnswer: 8188*b**3 + 273*b**2 + 819*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2 - 205*c = 0.\nAnswer: 0, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g + 5*g)*(-13*g**4 + 3*g**4 - g**4)*(3 - 1 - 3).\nAnswer: 22*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1282411*g + 850*g**3 - 3724*g**3 - 1282409*g + 55 wrt g?\nAnswer: -17244*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000022122 (base 4) to base 7.\nAnswer: 2143132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(1\/7)*l*l\/(l*l**(6\/13)))**(-43) assuming l is positive.\nAnswer: l**(-9374\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -1)*70\/5. Suppose -t = -o + 61. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1945.212 millilitres to litres.\nAnswer: 1.945212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 213712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -29. Let q = 261 + -257. Suppose -m - 36 = -q*c. Are c and 19 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 80*v - 42. Calculate the lowest common multiple of 8 and q(2).\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in -0.3, 2, 0.4, 1\/47, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 642 = -12*q. Let l = q + -104. Let f(o) = -o**2 - 6*o - 2. Let v be f(-6). Sort v, 5, l in descending order.\nAnswer: 5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*s - 51*s = 3248 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4066*m = 397*m + 105757 + 18989 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13356 and 29448.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (56\/(-12) + 5)*18\/(-8). Which is the smallest value? (a) f (b) 4 (c) 1\/2 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13416 - 640?\nAnswer: -14356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336034 divided by 4.\nAnswer: 168017\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from hfhfqqqfefhqhzf.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -21 - 7 - (-1 - -1 - -13).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*-8485029\nAnswer: -14424549.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.33 - 0.21. Let k = o + -2.5. Let i = k + 1.38. Which is smaller: -8 or i?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-112)*32)\/(-4 - 2170\/(-545))\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27958.9*-1138.\nAnswer: -31817228.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 896120?\nAnswer: 8065080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, v: 1, z: 1, s: 4}. Give prob of sequence sz.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**3\/9 - 24788*s**2\/9 - 846260*s\/9 - 2401012\/3 = 0?\nAnswer: -17, 6231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -3*c - 24, 8 = -c + 737*p - 742*p for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 + (-2 - 4 + 3)*(-3 + 0 - 1) + 0 + 0 - 2)*(-1 - 4*k + 4*k + 2*k**3 + k**2).\nAnswer: 24*k**3 + 12*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/(-91) + 16930*2\/52 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + 2.86. Let o = k + 2.1. Let q = -7.91 - -8.31. Sort 1, q, o in descending order.\nAnswer: o, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14671 + 4?\nAnswer: -14666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91262 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705766 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 950, 2169, 3876, 6071, 8754?\nAnswer: 11925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 + -93. Is -15 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2518 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 402, -4 in increasing order.\nAnswer: -4, -2, 0, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6}. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*t = -3. Suppose -g + 0 = 3. Let i = g - t. Solve i*z - 3*z - 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 0 = -3*t + 17, -29 = -5*t - 4*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 81.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. Let d(l) = -2*l + 4*l**2 + 6*l - v + 8*l**2 - 7*l**2. What are the prime factors of d(-4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 2. Let j = -371 + 373. Let s(d) = d + 2. What is j*s(g) - 3*n(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 47. What is the remainder when 502 is divided by u(27)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 658331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76.9412ml?\nAnswer: 0.0769412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -99, -198, -297, -396, -495, -594?\n\"Answer: -99*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042954 rounded to five decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21))\/(55\/35).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4595618 divided by 75338\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*2*(-50)\/(-60) - (-218)\/(-2). Suppose w + 3*w + 412 = 0. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + -17. Let m = u - -26. Sort 1, m, -4 in decreasing order.\nAnswer: m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:36 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 10. What is the remainder when 75\/9*(-6)\/(-2) is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/9)\/(a**(-2\/13)\/a)*(a**(-2)\/a)**(3\/4) assuming a is positive.\nAnswer: a**(-461\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3243299 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7385 + 7574. What is the remainder when p is divided by 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**3 - r - 1. Let y(m) = -m + 1. Let s be y(2). List the prime factors of d(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024876 rounded to four dps?\nAnswer: -0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 93*w**2 - 196. Let k(c) = 1. Let s(o) = 3*k(o) + m(o). Let b(p) be the first derivative of s(p). Let z(j) = 2*j**2. Give z(b(u)).\nAnswer: 69192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 8*l - 2*w - 14, 5*l + 3*w = 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -234\/379525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 35631730.7 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69 - 4455\/(-63))\/((-9)\/(-91)).\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3280 = -6*a - 368. What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 75 - 137*a + 130.\nAnswer: -137*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 8.3. Let n = 25.981 - -0.019. Let b = n - 25.5. What is the second biggest value in q, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28.7283 or -3?\nAnswer: -28.7283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.1 - -122.1. Let l = -580.9 - -674. Let p = l - k. What is p rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 0. Let d = -432\/277 + 6170\/3601. Let k(m) = m**2 - 6*m + 6. Let r be k(5). Which is the nearest to r? (a) g (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39930 and 194535?\nAnswer: 47077470","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -29, 27, -0.054, -1\/5 in increasing order.\nAnswer: -29, -1\/5, -0.054, 0.1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 + 193. Suppose j = 31*l - 33*l + 4. Solve c + 2*c - l*h = 1, -2*c - 3*h + 18 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2200 + -24162.\nAnswer: -21962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 1 = 2*l. What is the remainder when l is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + 33. Calculate the remainder when g is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 - 84 = -4*u. Suppose -3*p - 42 = -2*p. Let g = u + p. Solve -g - 1 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5106 + 5106. Let b(v) be the third derivative of -1\/60*v**5 + 0*v + v**3 + n + 5\/12*v**4 + 20*v**2. Determine b(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 1806785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/27*2*6\/20?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -63099000 rounded to the nearest one hundred thousand?\nAnswer: -63100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9801 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(3 + (0 - -1)). Calculate the greatest common divisor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110111111 (base 2) to base 10.\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11862 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Let v(t) = 0*t + 12*t - 6*t - 2*t. Let h(i) = 3*s(i) - v(i). Let o(x) = 3*x**3 - 4*x. What is -4*h(d) + o(d)?\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -26*(-1 - (-6)\/4). Let i be 20\/(36\/80 - 3\/15). Let h = t + i. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most -28.47861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218223 = 7670*w - 326*w - 96097 - 199760 for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3195)\/35*2\/12. Let p = 31\/2 + g. Which is the biggest value? (a) -1\/6 (b) 3\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*k + 20 = 3*q, -4*k = -2*q - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -436 - -436. Put 41, v, -1, 3 in descending order.\nAnswer: 41, 3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x**3 + 3*x**2 - 4*x + 1. Is d(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 452 = 474. Which is bigger: f or 1\/139?\nAnswer: 1\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(sqrt(147) + -2) + 3*sqrt(147)*5)*4.\nAnswer: 32 + 1568*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = g - 5, -3*i - g = -0*g + 3. Which is smaller: -2\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) 288 (c) 20938\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, h: 7, l: 1}. What is prob of picking 4 a?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1 - 16 - 6*s + 3. Let x be c(-6). Is (13\/(-2))\/((-4)\/x) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3005 = -4*y, 6*y = 10*y - 2*j - 2990. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**4\/36 - x**3\/2 + 7*x**2\/3 - 9*x - 1. Solve p(u) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100354058309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -37*m**4\/2 - 119*m**3\/6 - 90*m. Find the second derivative of w(v) wrt v.\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - w - 6. Let a be f(6). What is the units digit of (1\/(-2))\/((-3)\/a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14322 divided by 77.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 7*b**2. Let i = 33 - 40. Let k be c(i). Solve l - 3*l = k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.4 (b) 3 (c) 5 (d) 1745\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -1853?\nAnswer: 26\/1853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2731 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6843369 micrograms to milligrams.\nAnswer: 0.0006843369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + n - 2)*(-1 + 2 - 5) + 3*n - 2*n + 0*n + (n + 0 + 0)*(-3 - 4 + 5) + 3 - 3 - 2*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (1 + 1))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -6, -0.4, 2, 1, -0.1, -482?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((7\/1)\/(-7))\/((-1)\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268340 and 6960?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 114\/(-76) + (-14)\/4. Let s be (-316)\/546 + (-2)\/(-3). Let m = 3\/13 - s. Which is the third biggest value? (a) m (b) q (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4577 < 4958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 132?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 - 40*k + 3. Let w be b(13). Sort w, 3, -5 in increasing order.\nAnswer: w, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h + 215*h**2 - 108*h**2 - 122 - 103*h**2.\nAnswer: 4*h**2 + 21*h - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-2 - -1)) + (-6 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 3:13 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46662621 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g + 0*g + 25189*g - 4600090 + 4600090 + (1 - 1 - 1)*(-1 + 2*g + 1))*(4 + 1 - 3)*(4*g - 5*g + 2*g).\nAnswer: 50378*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 205609445 divided by 956323\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-23 - -16) + 16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6391336968\/5175 - (-3)\/75 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 - -19 - -116 - 22?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 909 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = m + 3*o - 24, 3*m = -2*o + 100. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o + 76*o = 0. Which is bigger: o or -3\/31?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -34, -54?\n\"Answer: -20*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 658448784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**3 + 7*n**2 - 9*n + 13. Let z(w) = -5*w**3 - 9*w**2 + 13*w - 19. What is 7*m(x) + 5*z(x)?\nAnswer: 3*x**3 + 4*x**2 + 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 4022293?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2419\/11739 - 1\/91. Calculate the common denominator of -31\/172 and d.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h - 4*h**3 + 18*h - h + 6*h**2 + 3 - 8*h in the form b*h**2 + m + l*h + a*h**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 4 - (-1 - 0). Let t be v + (-3194)\/(-2 + 4). What is t rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 + -88. Which is the third smallest value? (a) 1 (b) f (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 318 = -0*i. Calculate the remainder when i is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 less than -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-5))\/((-24)\/15). Let l = -99\/4 + 25. Find t such that 1\/2*t - n - l*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.727*-0.8\nAnswer: 0.5816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 34*l**4 - 45. Let k(b) = 7*b**4 - 9. Let p(t) = 11*k(t) - 2*o(t). Find the first derivative of p(i) wrt i.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 - 3. Let a = p - -0.5. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 460*t**2 - 4455*t + 9090.\nAnswer: 5*(t - 6)*(t - 3)*(t + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 63. Calculate the smallest common multiple of 68\/6 + j\/(-21) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/10 - 1\/20. Which is the closest to -1? (a) r (b) 0.1 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Suppose -6*l = -11*l + 35. Suppose l = -z - 5*u, 0 = 5*z - 4*u - 2 - 21. Let x(t) = 6 - z*t - 6. Give m(x(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4 - 2*b**4 - 2 - 954*b**2 + b + 957*b**2 - b**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * -6.4.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 157, 305, 503, 745, 1025, 1337?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 17?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 0.2 (b) 93 (c) -552 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -281 + 263. Let y(s) = s**3 + 17*s**2 - 20*s - 45. Give y(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 3\/6 - 34\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = b - 5*d, 118*b - 65*d - 505 = 123*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10067 - 9957. What is the highest common factor of b and 7095?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.82062 tonnes to nanograms.\nAnswer: 1820620000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 624*r - 1908.\nAnswer: 4*(r - 3)*(r + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iipe when four letters picked without replacement from {e: 1, n: 2, i: 8, p: 2}.\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.16072 (b) 0.3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1059042924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5237018 is divided by 292?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1\/(2\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 6:35 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 3*v**2 - 8*v.\nAnswer: v*(v - 8)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 86, 75, 58, 35, 6, -29?\n\"Answer: -3*p**2 - 2*p + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.6 + 193.6. Let w = k - 162.9. Suppose -4*j = 4, 0*j + 9 = -y + j. Put w, y, -0.4 in descending order.\nAnswer: w, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2.1 and 6138188 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13757?\nAnswer: 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/14 and 9\/(432\/20)*268\/5870.\nAnswer: 24654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2\/11, 2\/3, -1, 1\/4 in increasing order.\nAnswer: -1, 2\/11, 1\/4, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-2*y**5 - 3*y**5 + 4*y**5) + (2*y**3 - 4 + 4)*(57*y**2 + 8*y**2 - 22*y**2) + 4*y**5 - 8*y**5 - y**5.\nAnswer: 79*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**3 + 1208*n**2 - 269*n + 453. Determine g(134).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40341768289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/100 and 69\/1654.\nAnswer: 82700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3\/7 - 64*w**2 + 7202*w\/7 + 7648\/7 = 0. Calculate w.\nAnswer: -239, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2872519 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2940)\/(-56) - (-338)\/(-52)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 18 - 0. What is the highest common divisor of u and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*0.704.\nAnswer: -25.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snr when three letters picked without replacement from {r: 4, g: 4, s: 2, k: 4, t: 4, n: 2}?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 5*p**2 + 3*p + 19. Let x(t) be the first derivative of -t**3\/3 + t**2\/2 + 9*t + 2. Calculate the least common multiple of x(0) and u(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -5\/368 (b) 4 (c) 0.3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 + (-294)\/30)\/(3\/50). Calculate the greatest common divisor of c and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10785 = 3*v, 3*t = 4*v + 8126 - 1684. Suppose -4*z + 7*z - t = 0. What are the prime factors of z?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-41 - -182)*(-131)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448329539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 - 296 = -12*y. Suppose 5*m = m. Solve 2*v - 4*d - 16 = 7*v, m = -3*v - d - y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3393)\/182 + 18)*-42. Is 26 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-17 - (-19 - 1)) + (1 - -8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -3*t**4\/2 + 4*t**2 + 13. Find the second derivative of s(c) wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1257289740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 5*b - 2. Let m be a(-3). List the prime factors of ((-18)\/(-5))\/((-2)\/m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 12*d**2 - 17*d - 31. Let t be j(10). Let b(u) = -1. Let w(y) = y**3 - y**2 + 2*y - 4. Let f(m) = t*w(m) + 5*b(m). Give f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 8. Calculate the lowest common multiple of h(-7) and (0 + (9 - 3))\/(30\/40).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 4*s + 4, 0*z + 3 = z + 2*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25419450 and 168?\nAnswer: 101677800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 + 0*q**3 + q**3 + (0*q + 0*q - 2*q**2)*(20*q - 7 - 6 - 18*q).\nAnswer: -8*q**3 + 26*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvrvxebvxxevuev. What is prob of sequence uver?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/((-42)\/4) + (-32825)\/46410 and 50\/221.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 767\/63 - 17\/9. Are 9 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 10775521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/15 - (8\/90 + 18\/(-81))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545885323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/(5\/9). Let v = 296 - 300. What is the biggest value in v, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -1. Let n be (-75)\/9 - 1\/a. What is the units digit of 3*1\/(-3) - n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 2, -6, 0, -3.\nAnswer: -27, -6, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000036 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 14 - 1 = 0. Let r = -6 + 3. Let i = r + 8. Calculate the remainder when i is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-6 + (2 - 4) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 225, 874, 1959, 3486, 5461, 7890, 10779, 14134?\n\"Answer: n**3 + 212*n**2 + 6*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18805 is divided by 1399.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -170\/29?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 375 = -2*k + 2*u, -4*k = 3*u + 789. Let n = 611\/2 + k. Let x = n + -113. Which is the third biggest value? (a) 1\/2 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 3*v = 112. Suppose 0*c + 274 = 2*q + c, -262 = -2*q + 5*c. Calculate the highest common factor of q and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2573730 and 48.\nAnswer: 20589840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**5 + 0*y**5 - 7*y**5 + (-88 + 2*y + 88)*(-2*y**4 - 7*y**4 + 2*y**4) - 2*y**5 + 4*y**4 - 4*y**4.\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 9*r + 6. Suppose -12*u = 11*u + 207. Give z(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*j**3 - 4*j**2 + 4*j - 4\/3.\nAnswer: 4*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6270 and 117\/356440?\nAnswer: 11762520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 36. Let v = 3 + l. Is 4*(740\/16 - v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316 and 24224.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/24 + j**2. Let x(r) = r**3 + r**2 + r + 3. Let t be x(3). Suppose -13*v - v - t = 0. What is g(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {s: 3, a: 2, m: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 2778 - 5)\/(-3). Suppose -b*r - 4 = -928*r. Put r, -1\/4, -1, 4 in decreasing order.\nAnswer: 4, r, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17694788?\nAnswer: 2, 4423697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/15))\/b**(3\/4))**20 assuming b is positive.\nAnswer: b**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11004 and 1722.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3582480\/225 + 38\/(-285).\nAnswer: 2, 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1881712 and 134408.\nAnswer: 1881712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -93 + (-11 - -59) - -43\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2052 - 2049. Suppose -5*d = 25, -2*x + 11 = -5*d - 20. What is the remainder when x is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -241*t + 12. Let a be p(4). Let y = a + 1581. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/183 and ((-234)\/(-63))\/(-13)*(809\/(-732) + 1)?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 11*b**2 + 6. Suppose -8*h = 10*h - 36. Suppose 0*k - h*m = -k - 7, 0 = -3*k - 2*m - 37. Give r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 2, -18, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13833 is divided by 51.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97 + 2\/4*2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 139 - 204. Let m = x - -66. What is the second smallest value in 1\/4, m, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(588) + (-4*-1*sqrt(12) - sqrt(12)))\/((sqrt(288)\/sqrt(72))\/(sqrt(36)\/sqrt(4)*3)))**2.\nAnswer: 117612\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -271396 <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 3, 0.19, -0.2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16848*x**3*z**2 - 11771*x**3*z + 3*x**3 + 1 wrt z?\nAnswer: 33696*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -32*u**3 - u**2 + 4*u + 5. Is m(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*w + 2*w + 1, 5*m - 4*w + 37 = 0. Let y(f) = -f**2 - 11*f - 8. What is the least common multiple of 8 and y(m)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -0*o - 3*o. Let k = o + 32. What is the first derivative of 7*b**k + 4 + 4 + b**4 + 13*b**4 wrt b?\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649670465.\nAnswer: 3, 5, 41, 2682391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 364243377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 27 = -q, 57 = -4*h - 3*q - 0. What is the units digit of (-62)\/5*30\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 26*c**2 + 24*c - 12. List the prime factors of g(-9).\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/11 or 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200733 by -15441.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*(-42)\/(-343) - 4)*(-20 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 3*s)*(-20 + 196 + 116).\nAnswer: -292*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2.85. Let x = 0.68 - w. Round x to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11736 times 3?\nAnswer: 0.35208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 14. Suppose 0*v - r = -v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 51602689?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 10. Let g = -32 - -29. What is the second smallest value in o, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*h - 5*j, -4*j - 15 = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 1. Let v(l) = -l**2 + l. Let a(d) = 7*d**2 - 10*d + 6. Let u(w) = a(w) + 4*v(w). Let i = -2382 - -2381. Determine i*u(x) - 6*h(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 1, k: 2, g: 2, o: 1}. What is prob of sequence gmk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 778190116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 - 174705*i + 349390 = 0.\nAnswer: 2, 34939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert bd1d83 (base 15) to base 3.\nAnswer: 121222010220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1 - 1 - v + 6*v. Let a(t) be the third derivative of -t**5\/20 - t**4\/4 + 8*t**2. Let z(d) = d**2 + d. Let s(k) = -a(k) - 6*z(k). Calculate g(s(l)).\nAnswer: -15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 + 325739121*h - 35368658316617547.\nAnswer: -3*(h - 217159414)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*i**2 - 65*i**2 + 34*i**2.\nAnswer: 170*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 0*g + 23 = 3*g, 0 = 5*j - 2*g - g + 5 - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 122988.22083 to the nearest 100.\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-45)*1*(1 + -7). Sort 29, h, 5 in descending order.\nAnswer: 29, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -9*j + 144. Let y be 174*(-13 + j + (-8)\/(-6)). Which is bigger: y or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -198\/31, 0.07, 28, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 + 2*s + 2. Let g be x(2). Let a be ((-30)\/25)\/((-6)\/10). Let n be 1\/((-3)\/g)*a. Sort 1, 0, n in decreasing order.\nAnswer: n, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/3*1\/(2*6\/(-108))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 6028510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 20*n + 13. Suppose -2*o = 3*o - 45. Let s(j) = 5*j + 3. Let q(z) = z**2 - 125*z + 1354. Let m be q(12). Calculate m*r(b) + o*s(b).\nAnswer: 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(24 - 292\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 660 - 47 = 3*k, -4*k - 294 = -2*o. Suppose -o*r = -140*r + 49. Let m = 91 + r. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*b = -5. What is c in 7*c**3 - c - b*c**5 - 3*c**4 - c - 2*c**2 + 5*c**2 = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*x - 24 = 0, 2*q = -5*x + 32 - 5. Let j be -1*(-64)\/28 + 8\/(-28). Suppose -20 + 30 = -j*g. Sort g, q, 1 in ascending order.\nAnswer: g, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {w: 3, j: 17}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3045000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4228718 and 1352.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/27 and 31\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*-1 + 2 + 4.\nAnswer: -5*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b + 138*b**2 + 391064 - 391064 as w*b + k*b**2 + q and give k.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26186 + -314093\/12. What is the common denominator of 219\/(-27) - (-2)\/4 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 8:32 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*d + 1. Suppose -5*x + d = -4*x. Suppose 3*s - 29 = -14. Solve -s*g - x = -4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2 and -57\/330664?\nAnswer: 330664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6218 (base 15) to base 16.\nAnswer: -50f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 1 - 11. Let a = -404 - -408. Solve -a*z - 40 = h*l, -2*z = -4*l + 2*z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*p - v + 5 - 95, 106*v + 232 + 15 = -71 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*k**3 + 0 + 0*k**2 + 0*k + 0*k**4 + 1\/3*k**5.\nAnswer: k**3*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -251, -1\/7, 3, -128642 in descending order.\nAnswer: 3, -1\/7, -251, -128642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-7\/6))**6)**8)**(-4\/21) assuming k is positive.\nAnswer: k**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2 + 6*v - 6. Suppose -11 = -y - 5. Let l(b) = -20*b**2 + 17*b - 17. Calculate y*l(u) - 17*j(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1608, 3220, 4832, 6444, 8056, 9668?\n\"Answer: 1612*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -2, -1, -20 in decreasing order.\nAnswer: 1, -1, -2, -8, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19345 is divided by 567?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z + 199. Let m be j(-49). Suppose -m*r + 530 = n - 301, 3*r = 15. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6214929 - -6214986.00103. Let i = 0.23 - 57.23. Let t = c + i. What is t rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -250*h + 3006. Let z be i(12). Solve 0 = -z*g - g + 10*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4)**(-3\/8) assuming d is positive.\nAnswer: d**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -4, 23, -2, -20 in descending order.\nAnswer: 117, 23, -2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = 38*j + 102 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66002 is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (1245\/75 - 17). Which is the closest to -5\/4? (a) 2 (b) x (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315035 is divided by 2086?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(931) + sqrt(931))*-1*-1*5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.5 (b) -529 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(-2*(-1)\/(-4)). Solve w = 5*x - 3*n, 0*x = 5*x - n - 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -6) + -13 + 9. Solve i = f + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 15*c**2 + 9*c + 113. Give s(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6 - (-1870)\/2040. Determine p so that 0 + 1\/4*p**2 + 1\/2*p**3 - b*p**4 - 1\/2*p = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -1a7?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(91)*4)\/(sqrt(7) + -4*-1*sqrt(7) + sqrt(7)) + 1 + 4.\nAnswer: -2*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 1:59 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53\/2*f**4 + 27\/4*f**3 - 17\/4*f**5 + 260*f - 48 - 241*f**2 = 0. Calculate f.\nAnswer: -3, 4\/17, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 11) to base 16\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/15 + 14*b**2\/15 + 2*b\/15 - 14\/15.\nAnswer: -2*(b - 7)*(b - 1)*(b + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 4:25 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2, -2*x + 1241 = -3*m - x. What is the common denominator of m\/(-40) - (-2)\/5 and (-126)\/52 - 8\/(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)\/t)\/t**22)**22 assuming t is positive.\nAnswer: t**(-495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 159?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 347722 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/2 + 29*r\/4 + 5.\nAnswer: (r + 4)*(6*r + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-57) + (76\/66 - 2). Which is the fourth smallest value? (a) z (b) 0.02 (c) 0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 - 72767*a**3 - 4*a**2 - 20237*a - 2?\nAnswer: -60*a**2 - 436602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47765.\nAnswer: 5, 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) -2\/71 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2639*y + 2616*y + y**3 - 23*y**2 + 13 - 16. Determine r(24).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97839426.8 rounded to the nearest 100000?\nAnswer: 97800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/5*w**2 + 409\/5*w - 87\/5.\nAnswer: -(w - 29)*(14*w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -3*p + 270. Suppose 0 = -2*b + 3*n + p - 25, -2*b + 29 = n. Let t = b - -9. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - -7) - (1 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 4*q**2 + q - 1. Let g be v(3). Let p be ((-4)\/6)\/(g\/(-6)). Which is the closest to -4? (a) -1 (b) p (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 10*a**2 + 9*a + 8. Suppose 0 = 3*l - 4*x - 32 + 7, -4*l = -3*x - 24. Suppose 0 - 27 = l*n. What is the units digit of h(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -119529*w + 119526. What is j(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 5 (c) -51413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -55, -72, -85?\n\"Answer: 2*y**2 - 27*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189 + 602*f - 187 + 564 - 187 to the form a*f + k and give a.\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*(g\/g**(-6))\/g*g)*g*g*g**9\/g)**(-6) assuming g is positive.\nAnswer: g**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-47415)\/(-55) + 10\/(-110) + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cct when three letters picked without replacement from iicxitciitiiii?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 3:47 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -166826\nAnswer: -7\/166826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 + 1 - 3 - 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -11*o. Let y(u) = -12*u**2 + 28*u**2 - 14*u**2. Give y(r(l)).\nAnswer: 242*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 7. Let z(r) = -r**3 - 7*r**2 - 6*r + 4. Let d be z(s). Suppose -3*n = 5*b + 2, b - 12 = -2*n - 4. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95b (base 14) to base 2\nAnswer: 11100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*i - 31*i + 428. Suppose i*f + 224098 = 121*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - -5. What is the remainder when 23 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 11*l**3 - 10*l**3 + 14*l**3 + 8*l**3 - 173*l - 1 to the form w*l**3 + u + p*l**2 + g*l and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.97, 1, 12, -24650?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88779\/44 + 2017. Let f = -1859 - -18617\/10. Find the common denominator of t and f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 13) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 2*q - 3. Let m be l(4). Suppose u + 0*u - k + 4 = 0, 5*k - m = 4*u. Solve u = -5*g + 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-33)\/(-22))\/(360\/(-316)) and 32\/21?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (0 - 0)) + 6606 + -6609\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 899968734?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -655bd - -3?\nAnswer: -655ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 - -2762)\/2 - -9*4\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, l: 3}. What is prob of picking 3 c?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (840\/(-22))\/(-10) + (-4)\/(-22). Solve -4*i = f*w, 36*i - 35*i + 5*w = 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2779*k**2. Let c(h) = 2*h. What is q(c(t))?\nAnswer: -11116*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 8*b + 15. Let z be t(5). Solve z*h - 2*h = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.45, 4, 1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.09.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 132253 + -28.774?\nAnswer: 132224.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -7. Let b = z - -19. Is 16 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aak when three letters picked without replacement from awacasekwew.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5554 (base 8) in base 13?\nAnswer: -143c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 8*y - 10. Let h be f(-2). Solve 1 = 3*b - 4*j, 3*b + h*b - 9 = 3*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84024140?\nAnswer: 2, 5, 4201207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (-113 - -106) + (4 - (-14 + -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 292?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 0*u + 3*u + (3*u - 2*u - 3*u)*(4 - 1 - 4) + 3*u + u - 6*u)*(0*u + 8*u + 3*u)*(-7*u + 2*u + 4*u) as g*u**3 + p*u**2 + n + k*u and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.969 - -0.031. Let p be ((-5)\/(-2))\/((-2)\/(-36)). Let g = p - 359\/8. Sort g, j, 0.3 in descending order.\nAnswer: j, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108 - -96)\/((-3)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 0 + 1 + 34*l - 15*l - 20*l. Give h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 963*l**3 + 2*l**2 + 82*l - 224. Is u(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 1 - 6 + 22515*c**2 - 22518*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (520*j**3 - 520*j**3 - 12*j**4)*(-4*j + 3*j + 0*j + 2 + j - 2 + (2 - 3 + 3)*(-3*j + 2*j + 3*j) - 2*j + 2*j - j).\nAnswer: -36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -16\/17, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = 0, -4*x + 4 = -x + 2*c. Suppose x = o + 7 - 9. Solve w = -4*b + 9, w - 4 = 3*b - o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047709903 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1524, -6006, -13458, -23874, -37248, -53574?\nAnswer: -72846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - -1) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -95.4448. Let t = -0.0488 - k. What is t rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 - 2*n + 5*n + 160 - 80 as v*n + k and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155205 + 155203 + 3*u - 7*u.\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/(-2470))\/(2\/365) + (-513)\/(-2223).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 + 1 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 207, 278, 419, 654, 1007?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 326 = -6*r + 9*r, -4*w - 5*r = -278. What is the highest common factor of 3619 and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 3\/110*n**5 + 1\/33*n**4 + 0*n**3 + 0*n**2 + 0 - 2*n. Let w(o) = 0. What is o?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from mdmhmhmdhdmmm?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030769 times -4?\nAnswer: 0.123076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148258 and 140668?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 5*g**2 - 7*g + 7. Calculate z(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 16 = -o. Suppose b = -o + 7. Suppose -3 = -b*d + 3*c + 6, -5*c = -4*d + 13. Solve 0*l = d*l + 2*f + 10, l + 2*f = -6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1716 divided by 132.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4498288?\nAnswer: 2, 19, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-325) + 186\/26?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - 1. Let d = t - -9.3. Let w be 4\/(-14) + 50\/(-70). What is the closest to -1\/2 in d, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 10*h + 27. Let i be c(6). Suppose z + 8 = 3*g, -i*z = 5*g + 4 + 6. Let j be (2 - (-51)\/(-24))*g. Put -0.5, j, 2\/21 in descending order.\nAnswer: 2\/21, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-12))\/(4\/(-6)). Sort -0.2, 3\/7, x in increasing order.\nAnswer: -0.2, 3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30720183.\nAnswer: 3, 13, 787697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*i + 6. Which is smaller: -0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7219*p*s**3*v**3 - 65105*p*s*v**3 + 986*s**3*v**3 - 3*s**2*v**2 - 16 wrt s.\nAnswer: 43314*p*v**3 + 5916*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-92)\/(-138)*6*4\/(-6)\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 3:18 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6145 by -5.\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2070688 - -1a?\nAnswer: 20706a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 102) + (-294 - -305) + -4 + 9 + -20?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19772.716 + 19815. What is x rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 - 20567043*t**2\/5 - 21150160831488*t + 105750824724484\/5.\nAnswer: -(t - 1)*(t + 10283522)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/4 + 4. Let w(y) = -4*y + 5*y - 4 + y. Let l be w(3). What is k(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-1 + -2)) + (-14 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 296057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0 - 7\/60*z**5 + 1\/2*z**4 + 11\/6*z**3 + 0*z - 1\/120*z**6 + 5*z**2. Is v(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*n - 5*k - 2055 = 0, 0 = -497*n + 500*n + 2*k + 66 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 0 + (-87477)\/(-33) + 4\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 836 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*y + 11, 4*x - 3 = 5*y - 17. Suppose 0*m - 3*m = -3*q + 38442, -3*q = -y*m - 38437. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 3692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/7 - 78*z\/7 - 71 = 0 for z.\nAnswer: -71, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642 divided by -2.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 28*r**3 - 109*r**2 - 115*r - 23. Let y(n) = -32*n**3 + 110*n**2 + 116*n + 22. Let o(h) = 6*x(h) + 5*y(h). Factor o(l).\nAnswer: 2*(l - 14)*(2*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273843 and 306?\nAnswer: 9310662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000138214311 rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 1 (c) -135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 23*s - 75 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738807209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26299 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 5. Let x be g(0). Suppose i - 9 = -2*i. Suppose 0 = i*d - d + 2. Sort d, x, 0 in descending order.\nAnswer: 0, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -233\/6 + 39. Let g = 91\/6 - 15. Let o = g + h. Which is the nearest to o? (a) 3 (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/20 + h**4\/3 + h**3\/2 + 2*h**2 - h. Suppose 77*o - 11*o + 115 = 89*o. Give j(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 82 (c) 3 (d) -1\/2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -200633 - 4?\nAnswer: -200637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 48308*l - 30285813.\nAnswer: (l - 619)*(l + 48927)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 6 = -6*i. Solve 0 = -3*k - i + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1344.9 + -1345. Is s >= 0.131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -70, -100, -142?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1173)\/36*(1 - 3). Let r = b - 65. Let w = -0.03414 - 4.96586. What is the smallest value in 4\/9, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4586)\/(-8))\/(22*(-49)\/(-73304)). Round p to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/21 (b) -3 (c) -82\/149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 601.\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14137 and 112.\nAnswer: 15.83344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -58. Let v(d) = -d**3 - 9*d**2 - 15*d + 6. Let c be v(j). What is the first derivative of -2 + c + 16 + 2*z - 11 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487903 is divided by 243885?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/289 and -43\/11?\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/70 and -62\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7 - 4*z**2 - 2 - 48390*z + 3*z**3 - 48381*z + 96770*z. Let g(o) = o**3 - 2*o**2 - o - 5. Calculate -5*g(b) + 2*q(b).\nAnswer: b**3 + 2*b**2 + 3*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 340 or 66?\nAnswer: 340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 16 = -x. Suppose -2*i - 6*v = -v + 30, -3*i - v - 19 = 0. What is the nearest to 0 in 3, i, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -0.5, 0.12, -1, -100638, 4, -4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-two fifths of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 6. Suppose y = a + 4, -6*y = -a - y - 8. Let f be a\/(-9)*(18 + 0). Let c be k(f). Solve -t - 4*t = c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28d (base 16) to base 12.\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27102a (base 13) to base 8.\nAnswer: -3465152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2248, -1, -0.1, 0.02.\nAnswer: -2248, -5, -1, -0.1, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72711 and 7929.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -4 (c) -2\/7 (d) -77905 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25325007 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 5\/2*r**2 + 0 - 2\/3*r**3 - 28*r. Let u(y) = -y + 1. Determine -d(l) + 2*u(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/14 greater than 0.575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1035 + 1034 = -3*u - 4*s, 0 = u + 2*s - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -7)\/(-2) - -4. Let p be (4\/(-7))\/(j\/(-7)). Suppose 7 = p*g - 127. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1060 divided by -4.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 - 15*o**2 - 2*o - 3. What is y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/26 - (-36524)\/299. Let a = 160 - k. Find the common denominator of ((-2)\/(-8))\/(9\/(-188)) and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2441*y**2 + 274*y**2 - 315 + 315.\nAnswer: 2715*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16*k - 2313. What is o(-145)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b8 - 196?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3 + (-2 + 3 + 1)*(1 - 2 + 0) + 0 + 3 - 2 - 1 + 2 + 0 + 3 + 2 - 3 - 6 + 3 + 0)*(2 - 1 - 4*a + 5*a).\nAnswer: -3*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1712 and 4.\nAnswer: 6848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 4, 11 = 3*t + 4*g. Let n = t - 9. What are the prime factors of (-2 - 1)\/(3\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1\/3 (b) 0.006 (c) -1\/4 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 2:30 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:05 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 639 - 643. Sort 1, a, 661, 4.\nAnswer: a, 1, 4, 661","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 25*r**2 + 38*r + 11. Let j(y) = y**3 - 7*y**2 + 9*y - 37. Let p be j(7). List the prime factors of g(p).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1.9, -2\/15, 0.2, -5\/2, 96?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 152959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = 5*z + 14*z - 348. Solve 4*y - 2*w + 7 = 13, 0 = -4*w + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23022131 - -2?\nAnswer: -23022124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.5, -26 in descending order.\nAnswer: 0.5, -2\/3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1450 is divided by 717?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8673, 17342, 26011, 34680, 43349, 52018?\nAnswer: 60687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429477 is divided by 1760.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1070*u + 7. Let m(s) = -355*s + 2. What is 21*m(i) - 6*v(i)?\nAnswer: -1035*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.792597 rounded to 0 decimal places?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 11:00 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8030 + -7336. Solve -724 = 6*d - z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8901\/(-33626)*(-5)\/(30\/4)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0189949l?\nAnswer: 18.9949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + v + 176 = -347, 0 = -x - 4*v + 118. What are the prime factors of 3\/9 - 32\/(-12)*x?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5)*(-3200)\/(-80). Let u(j) = 94*j**3 + 16*j**2 - 16. Let s(b) = -31*b**3 - 5*b**2 + 5. Give v*s(f) - 5*u(f).\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5535942, -11071886, -16607830, -22143774, -27679718?\n\"Answer: -5535944*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.7, 0.4, 4, -0.4 in decreasing order.\nAnswer: 4, 0.4, -0.3, -0.4, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.06798\nAnswer: -0.0020394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/4 - f. Let w(t) be the second derivative of -3*t - 1\/3*t**4 + 0*t**2 - 3 + 0*t**3. Calculate j(w(y)).\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2.7 (b) -1\/2 (c) -8 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.96 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -551*u - 5601*u - 2522*u - 4446*u - 1493*u to y + o*u and give o.\nAnswer: -14613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -3\/134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 91, -32, -155, -278, -401, -524?\n\"Answer: -123*u + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 33, 7 in ascending order.\nAnswer: 7, 12, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69, 87, 91, 75, 33, -41?\n\"Answer: -q**3 - q**2 + 28*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 15 = 2*w. What is the remainder when 205\/w*3\/(-1) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 4:46 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -260327460657 - 0.5.\nAnswer: -260327460657.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*c**2)*(39 - 39 - 14*c**2)*(-1 + 1 - 3).\nAnswer: 168*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6804 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l - 12 = 19*l. Solve -3*k - 11 = l*d - 3*d, -3*d - 6 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6357397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 12*i**2 + 5. Let a(t) = 10*t - 3. Calculate c(a(l)).\nAnswer: 1200*l**2 - 720*l + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**7\/5040 + z**5\/20 + 2*z**2. Let l(u) be the third derivative of x(u). Let a(h) = -2*h. Give l(a(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136137 and 879958?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3885017752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -7) + 16 + 4 + -4 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3548\/177 or -21?\nAnswer: -3548\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u**3 + 1 - 49406*u**2 - 41*u**3 - 2 + 49406*u**2.\nAnswer: -2*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16077.0023 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.9 - -5.9. Let d = -3518\/3 + 1144. Let j = d + 359\/12. Which is the third smallest value? (a) q (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 211 - 230?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1732*s**2*t**3*x + 2*s**2*t**2*x - 415*s**2*t**2 wrt t?\nAnswer: -10392*s**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*b = 0, -3*b = 5*v + 2*b - 50. Let c be (6\/4)\/((-3)\/(-14)). Let n be (-13 + c)*(-1 + 0). Solve -v - n = -3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7995 (base 10) to base 4.\nAnswer: -1330323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, 41, 81, 143, 233, 357, 521?\n\"Answer: n**3 + 2*n**2 + 11*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 403, 808, 1215, 1624, 2035, 2448, 2863?\n\"Answer: x**2 + 402*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33210 - 11?\nAnswer: -33221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100*n**3 + 5 - 99*n**3 + 0 wrt n?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4 + 489*r + 4 + 22 - 1. Is j(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)*t*t*t**10)**(-46))**(-49) assuming t is positive.\nAnswer: t**(52969\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -92, -3, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 9*a + 18*a + 10*a + 6*a - 46*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1120*h**3 - 56*h**2 + 455*h + 56. Let n(i) = -59*i**3 + 3*i**2 - 24*i - 3. Let l(r) = 3*g(r) + 56*n(r). Find the second derivative of l(m) wrt m.\nAnswer: 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2.1, 4\/9, 14\/717, -1 in decreasing order.\nAnswer: 2.1, 4\/9, 14\/717, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**2 + 1070*a + 26727.\nAnswer: -6*a + 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x + 2*z - 4821, -5*z + 8035 = 5*x. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**3 + s. Let k(z) = -7*z**3 + z**2 - 3*z. Calculate 2*k(a) + 5*n(a).\nAnswer: a**3 + 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 4*w - 40 = 0, 4*n - 56*w + 25*w = -29*w - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-341 + 355)\/(-2 + (-2 - -2) + 3). Solve -k*n - 224 = -294 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000057436 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -53.\nAnswer: -8\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -1\/3*b**3 - 7\/3*b + 5\/3*b**2 + 1 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + t + 3*t)*(2*t**2 - 2*t**2 + 2*t**2)*((t + t + t)*(t - t + t) + (0 + 0 + 2*t)*(0 + 0 - 2*t) - t**2 - 4*t**2 + 2*t**2).\nAnswer: -16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:48 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -11*z**4\/24 - 125*z**3\/6 - 9*z**2 - 128. Let p(b) be the second derivative of r(b). Differentiate p(o) wrt o.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x - 2. Let b(s) = 12*s**2 + 35*s - 71. Let a(r) = b(r) + 3*l(r). Let o(h) be the first derivative of a(h). Differentiate o(k) wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179280192 and 135408.\nAnswer: 179280192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443623.\nAnswer: 17, 84919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1063, 1062, 1061, 1060?\nAnswer: 1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 9) to base 6.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -9167886.\nAnswer: 5\/9167886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10111001000111101 (base 2) to base 4\nAnswer: 113020331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 153*j**3 - 172*j - 84*j**2 - 64 - 8 - 93*j**3 + 6*j**4 + 38*j**4 = 0.\nAnswer: -1, 18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/144449 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40, -45, -62, -97, -156, -245?\n\"Answer: -x**3 + 2*x - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 - 74*w**2 - 28*w + 474. Determine z(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*l**3 + 6*b*l**2 - 6*b*l + 23*b - 3*l**3 + 903*l**2 + 1673 wrt b?\nAnswer: l**3 + 6*l**2 - 6*l + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(27\/15) + -2. Suppose 4*m + 4*g - 34 = 250, -k*m = -g - 205. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -133\/2 - -669\/10. Suppose -2\/5*u + r*u**4 + 2\/5*u**3 - 2\/5*u**2 + 0 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*k + 5*k + 2*k)*(-3 + 7 - 3) - k - 2*k + 5*k)*(-5 - 3 + 3) to j*k + n and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/6880 or 1?\nAnswer: 49\/6880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 584 - 601. Suppose 46 = -5*v - 34. Which is greater: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(700\/63) - (-14)\/28. Let z be (-34)\/70 + 6\/21. Which is the third smallest value? (a) 0 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 0*t + 32 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24796\/7? (a) 2\/5 (b) 1 (c) 0.5 (d) 3 (e) 1\/4 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267949*i**4 - 2*i**3 + 8*i**2 + i - 5336?\nAnswer: 6430776*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(-19\/6)*g)\/g)**0\/(g*(g\/(g\/g**(2\/45)))\/g)**(-33) assuming g is positive.\nAnswer: g**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/5)\/1)\/((-19)\/3135*-22)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:00 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4, -6*k + 11*k = 5*i + 15. Let f(s) = -3*s + k*s - 4*s. Let o(x) = -x. What is f(o(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - b + 2. Suppose 36 = 11*i - 9*i. Let l be 4\/(-24) - (-3)\/i. Calculate o(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155942380 + 155902186.7987. Let c = 40191 + j. Let q = -2.2 - c. Round q to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.1 or 94.84?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - 260 + 212 - 2*b - 284 - 826 to the form s*b**3 + r*b**2 + p*b + t and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 13 - 5, u - 6 = y. Suppose -4*m + 4265 = k + u*k, -2*k = 3*m - 3200. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5\/2 - 3*s**3 + 3*s\/2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17625 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 90615563113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 222, 436, 736, 1122, 1594?\nAnswer: 2152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163513 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8808 + -8829. Let s(f) = f**3 + 23*f**2 + 44*f + 38. Give s(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24879\/11 + -2260. What is the common denominator of i and 26\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*n + 416. Let s be n\/51 - 2\/3. Is 16 a factor of 6*170\/15 - s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*i - 30 = -30. Factor i + 0*o - o**2 + 1\/4*o**4 - 3\/4*o**3.\nAnswer: o**2*(o - 4)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28))\/((-32)\/(-784)*(-21)\/(-1))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 6:50 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**5\/5 - 2*m**4\/3 - 8*m**3\/3 + 16*m**2 - 143*m. Suppose h(o) = 0. What is o?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 51*d**2. Let u(n) = 10539616*n. Determine u(w(l)).\nAnswer: 537520416*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -17*x**2 - 11*x - 11. Let s(b) = -b**2 - b - 1. Let m(d) = -66*s(d) + 6*z(d). Let r(u) = -2*u. What is m(r(k))?\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1721 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.127 and -5.\nAnswer: 0.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*q**5 + 5644*q**4 + 24972*q**3 - 48076*q**2 - 1480*q + 18912 = 0. Calculate q.\nAnswer: -197, -6, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 1179*a**2\/2 + 18352*a.\nAnswer: a*(a - 1147)*(a - 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-5 + 6 - (3 + -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(4*b + 3*b + 2*b) - 4 - b + 4.\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250846 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b - 3. Calculate v(4).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 89. Let k(n) be the first derivative of n**3 - 3 + 0*n**5 + y*n + 0*n**2 - 1\/3*n**6 + 0*n**4. What is the third derivative of k(v) wrt v?\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3150*(-231)\/(-66)*16\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 8:23 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*180\/(-20)*4\/(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2563.65 rounded to 0 decimal places?\nAnswer: -2564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -10. Suppose 0*o + 4*o = 4. Let w be ((-2)\/(-3))\/(o - 2). Which is the closest to w? (a) x (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -998.8 + 999. Suppose 0 = 5*i + 2*u + 22 + 18, 0 = -5*i + 4*u - 10. What is the closest to -5 in k, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - -95 - (-14 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 0, -185, -504, -963, -1568, -2325?\nAnswer: -3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1008)\/(-360) + (-2)\/(-10). Factor 4\/3*w - 2\/3*w**2 + 0 - 2\/3*w**b.\nAnswer: -2*w*(w - 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {h: 1, g: 12, p: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3791*g + 42790*g**3 - 3791*g.\nAnswer: 42790*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*w - w = -56, 5*v = 5*w + 85. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37352.6706 - -37357. What is d rounded to 2 decimal places?\nAnswer: 4.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87 + 88. Which is the fourth biggest value? (a) -0.2 (b) m (c) -3 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 + 19*o**2 - 17*o - 15. Let b be c(-7). Put -5, 4, b, 21 in decreasing order.\nAnswer: 21, b, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 11:16 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -1 + 1\/3*s**3 + 0*s**2 + 0*s. Let o(q) = -7115 + 7115 + 2*q. Calculate z(o(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01211 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 13*t - 7. Suppose 4*y + 42 = -5*q, -y + 40 = -5*q - 6*y. Give b(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5132839102054753\/666584349169806 + 3\/174516794735. Let z = -2\/9549 - o. What is the common denominator of z and (-8)\/(-4) + (-138)\/9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25177110 - 25177110 + 6884*t.\nAnswer: 6884*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -11, -1030, 11 in descending order.\nAnswer: 11, -0.4, -11, -1030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**2 + 92*f - 12*f**2 + 57*f - 152*f - 1 + 23*f**3 to y*f**3 + p*f + g*f**2 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3932149 and 8717.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 11*o - 13. Let s be a(9). What is the second biggest value in -0.5, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78280525.\nAnswer: 5, 3131221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 - 270016*r\/9.\nAnswer: 2*r*(r - 135008)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**3\/2 + 2*j + 31. Let a(h) be the third derivative of -h**5\/20 + h**2. What is o(a(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 164*5\/(-125) + 7. Let a = -43\/75 + w. What is the third smallest value in 15, a, 0.1?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10)\/(-15))\/1*(-6)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*20*(-13)\/((-520)\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/20)\/1*(-356)\/534?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40496 divided by 8.\nAnswer: 5062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4107 and 74?\nAnswer: 8214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 + 48*p**3 - 50*p**3 + 3*p - 2*p**4 - 6*p**4 in the form l*p + o*p**3 + s*p**2 + b + k*p**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-7))\/((-3)\/(-21)). Let f = i + 21. What are the prime factors of 80\/30*(1 + f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7499 - -7507. Solve -4*h - k = -2*j, 51*j = 55*j + 2*h - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q*q*q*q*q**(-30)*q*q)\/((q*q*q\/q**(2\/19))\/q**9) assuming q is positive.\nAnswer: q**(-397\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 1\/566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 95634229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 11372081.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1484272305.\nAnswer: 3, 5, 19, 919, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6339496 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from ffdbawlb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 22008056?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 + 0.06. Let r = 357.53 - 362.53. Which is the nearest to 1? (a) -5\/2 (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -41*q**2 - 1. Let x be w(1). Let d = 294 + x. Suppose d = -11*v + 13*v. Does 39 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95860 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, m: 5, r: 2}. Give prob of picking 2 m and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3525332?\nAnswer: 2, 881333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*m = -0*j + 12, -3*j + 3*m = -6. Let o(c) = c**2 - 3*c + 2. Let v(x) = -2*x**2 + 7*x - 5. Let y(u) = -5*o(u) - 3*v(u). Determine y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/60)\/((-49231)\/151480).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 329245137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17828 + -17823. Which is the second smallest value? (a) 9 (b) -4 (c) 0 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 218.44702 to the nearest integer.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - -2 - (11 + -5 + 6)) + 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-420)*14\/(-12))\/((-14)\/(-63)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-14) + 0 + (-2)\/4. Let y = -314 + 315.79. Let f = y - -0.21. Sort f, m, -0.4.\nAnswer: -0.4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:17 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, -84, -214, -410, -678, -1024?\n\"Answer: -v**3 - 24*v**2 + 9*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**14))\/v*v)\/(v*v**2))\/(v**(13\/5)\/(v\/((v\/v**(7\/8))\/v))) assuming v is positive.\nAnswer: v**(411\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1272*a - 82656. Determine k(-65).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 532, 795, 1042, 1267, 1464, 1627, 1750?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joo when three letters picked without replacement from {o: 5, j: 9}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 7*k = 6. Suppose -k*j + 50 = 2*j. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**6\/4 + 12*j**5\/5 + 3*j**4\/2 - 11*j**3 - 15*j**2\/4 + 21*j + 213. Let o(d) = 0. Calculate d.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -2, 18, 70, 166, 318?\n\"Answer: 2*q**3 - 2*q**2 - 8*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - 1. Let r = n - -0.939999909. What is r rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/24*6\/(-18)*-9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 643 + -423. Let t = -221 + u. Which is smaller: t or 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 8513.5609 to the nearest 100.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**6\/5 + 3*i**5\/25 - 9*i**4\/10 + i**3\/5 + 3*i**2\/5 + 10. Find u, given that q(u) = 0.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1674 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + (sqrt(684) - (-3*(sqrt(684) + -1 + sqrt(684)) - sqrt(684))) - (sqrt(684) - (sqrt(684) + 1 + 0)))**2.\nAnswer: -216*sqrt(19) + 55408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - 5*r + 28. Suppose -s = a - 0*s + 8, 0 = 10*a - 4*s + 24. Let w(t) = -2*t**2 + 4*t - 28. Determine a*v(k) - 5*w(k).\nAnswer: -2*k**2 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -214790 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 29. Let r = 2.4 + -2.6. Let k = 0 + 1. What is the second smallest value in r, k, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -8 + 10 + 2*i + 0*i - 5. Let d(r) = -35*r + 55. Let o(n) = 6*d(n) + 110*z(n). Let k(x) = -3*x**2. Give o(k(m)).\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6689 + -6688. Suppose -3*k - 17 = -3*s + s, -k + 9 = 3*s. Calculate the remainder when s is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*k*o**3*y + 9*g**2*o**3 - 10*g**2*y - 31*g*k*o**3*y - 2*g*k*y - 2*g*o - 2*k*o**3*y - 2*o**3 wrt g?\nAnswer: 2*k*o**3*y + 18*o**3 - 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*q + 9*q - 15*q)*(-47*q**2 + 491*q - 40*q**2 + 86*q**2) in the form v*q + b + f*q**3 + w*q**2 and give w.\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144058 and 186694?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413759 less than or equal to 1413761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/(-7) + (-10)\/(-10). Suppose -2*y - y - 45 = -3*r, -3*r = -4*y - 50. Let n be -2*(-1)\/r*1. Put 4, n, s in descending order.\nAnswer: 4, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-230)\/25 + 1\/5. Let a be (-4)\/(3*2\/l). Solve a = -2*n + 2*z - 0*z, -5*n = -3*z + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34063936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 330741 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 + 21 + 36\/(-6). Let p = y + -45. Is 9 a factor of (60\/(-50))\/(1\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -5*a**3\/6 + 11*a**2\/2 - 3*a. Calculate the remainder when j(-5) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 + -9 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12087 rounded to three decimal places?\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9. Suppose y - 22 = -5*g, -5*y - 7 + 1 = -i*g. Suppose 0 = -4*s + g, 0 = -3*f + s - 3*s + 11. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 10:29 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2.9, -0.2, -3.574, 23?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a + 1. Let w be o(-3). Suppose 5*v + 4*l + 71 = 0, -5*l - 5 = -w*v - 70. Let j = v - -19. Solve 4*c - 3*r = 15, -c + 2*c = j*r + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**3 - 17*d**2 - 7*d - 8. Let x be g(-4). Let l = x + -7. Put l, 21, 0.4 in decreasing order.\nAnswer: 21, 0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 39 - 2*p - 2*p**3 + 0*p**3 - 43. Let w be d(-3). List the prime factors of ((-9)\/(-6))\/(6\/w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 12:24 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 42.71. Let x = 2.23 + m. Round x to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(5*sqrt(400)).\nAnswer: sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371559?\nAnswer: 3, 123853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -6*f + 7*f - 908, 5*f + r - 4584 = 0. What are the prime factors of f?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458770420.\nAnswer: 2, 5, 23, 997327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 + 7*y + 3. Let a be i(-5). Suppose 0 = 48*w + 1338 + 2111 + 4039. Is w < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -m - 1379, -5*m = 2*l - 1301 - 48. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -5*o**3\/3 - 236. Let w(h) be the third derivative of -7*h**5\/30 + 3*h**2. Calculate d(w(l)).\nAnswer: -980*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/245 - ((-119950)\/(-2450) - 49).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -5, -1.2, -1\/6, 4\/3, -26?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -117736915 = -117736917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {u: 11, c: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, and 1 x when three letters picked without replacement from {f: 1, g: 9, v: 5, x: 1}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*p = -24, -l = 2*p - 0 + 4. Suppose -2*t + 9 = -5*j + l*j, 5*t - 5*j = 25. Which is the nearest to t? (a) 0.4 (b) 1\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 17. Solve -8*r + a*j + 5 = -3*r, -2*j = 3*r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -117*h - 10. Let k(d) = 329*d + 28. Let a(z) = -5*k(z) - 14*y(z). Let u(i) = -9*i - 1. What is a(u(b))?\nAnswer: 63*b + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75297 - 1280721\/17. Let f = -343460\/8687 - v. What is the common denominator of 11\/6 and f?\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjjbrjtsjmjtsj. Give prob of picking 2 s.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/40 + 35\/4. Suppose -13*q + m*q + 20 = 0. Factor q*v**3 + 38*v**2 - 26*v**2 - v**3 + v**3 + 8*v.\nAnswer: 4*v*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351 * -2\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + j + 10. Suppose 0 = 5*f + 2*d + 13, -78*f = -82*f + 2*d - 14. Calculate b(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 7*x**2 - 8*x + 3. Let t be h(-8). Suppose t*l + 2*l = 0. Let r(s) = -s + 5. What is the smallest common multiple of 2 and r(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -45. Let a(v) be the first derivative of v**2\/2 + 5*v - 2. Calculate a(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57b72 (base 12) to base 14.\nAnswer: 30b30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.6. Let h = -15.864 + -0.136. Let w = h - -15. Which is the second smallest value? (a) w (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**7\/210 - r**5\/30 + 18*r**2. Find the third derivative of c(p) wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2136 (b) -3\/7 (c) -4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 20 = 3*b. Let h be (-5)\/b - (-2)\/20. Let y = -0.1 + -0.4. Sort h, y, 0 in decreasing order.\nAnswer: h, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*t - 3218, -2*b + 4*t = -4*b + 2172. Let u = -2048 + b. What is u rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 9:29 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 878 + 11. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + h + 5. Determine q(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 3*q + 6*q. Let o(r) = -154*r + 927. Let v be o(6). What is the highest common divisor of q and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 1.1, -0.4 in ascending order.\nAnswer: -3, -0.4, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q - 109 = -5*u, 5*q + 120 = 3*u. Let k = -102 - q. What is the units digit of -3 + ((-18)\/k - 626\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*o = -48*o. Suppose 0 = -2*a - 2*q + 14, 5*a - 13 = a - q. Solve -a*r + o*f - 2*f = 10, -2*r - 5*f - 13 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45963 and 321741.\nAnswer: 321741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-481)\/(-962))\/((-1)\/54).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*l - o + 2*o, 5 = -o. Suppose 0 = -y + 4*v + 134, -l*v = y + 3*y - 608. Let u = y + -65. List the prime factors of u.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -91, -100, -111, -124?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 233112\/5 + -46623. Let d = 48 + -10. Which is the second smallest value? (a) n (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/318860 and -37\/963.\nAnswer: 2869740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24023 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:03 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - -20. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 58 - -9*(-4)\/12. Let v = -5 + g. Let x = -47 + v. Solve 0 = -4*o + 3*a - 16, -4*o + x*a = -2*o + 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/60 + (-10669)\/(-470) + -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22 + 187?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -c + 4, 3*c + 3 - 8 = 4*m. Calculate the least common multiple of (1\/c)\/((-9)\/(-324)) and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(441)*-6))**2.\nAnswer: 5\/1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**3 - 9*b**2 + 2*b. Let o(i) = i**3 + i**2 - i. What is f(x) + 2*o(x)?\nAnswer: -2*x**3 - 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 + 6 = 3*j, 0 = 4*p - 4*j - 8. Let b = 8 + -8. Is b greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-22)\/d*d)\/(d**(-2\/5)\/d*d*d)*d**23\/(d\/(d\/(d\/((d\/(d*d*d**(-24)*d))\/d)*d))) assuming d is positive.\nAnswer: d**(97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or -68?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/6*(-2)\/(-5). Suppose p*t - 6 = 2. Solve t*k - 5*i + 6 = 0, -i = k + k + 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 3*z**2 - 4*z + 5. Suppose 4*w + 4 + 12 = 0. Let n be c(w). Suppose 0 = -v + n + 17. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5829 divided by -29?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11632765591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -16*u. Let b(j) = -104703*j. Calculate b(y(a)).\nAnswer: 1675248*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*h**2 - 2 - 5 + 5.\nAnswer: -125*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25419 = 2015*x + 817*x + 27138 + 4083 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237755586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -719762567 and -345?\nAnswer: 719762222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(1\/((-54)\/(-24))))\/((-3)\/(-8))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/180 and 121\/2440.\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -356\/21*t**3 + 93 - t - 43\/7*t**4 - 120\/7*t**2 + 9\/70*t**5. Find w, given that x(w) = 0.\nAnswer: -2\/3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -62*g + 678. Let l be a(14). Which is smaller: -180 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + -3.9. Let u = j + 3.3. Round u to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.103228 grams in kilograms?\nAnswer: 0.006103228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3476 and 84766.\nAnswer: 13393028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**3 - 16*k**2 - 2*k - 6. Let z be v(-4). Let y be 40\/z*2705\/20. Suppose -4*q + y = 4*p - 18199, -2*p = -5*q - 10417. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-14))\/(((-42)\/(-105))\/(6\/5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13899884*m*v**4 - m*v**3 + 302*m*v - 3*m + 366*v**2 wrt v?\nAnswer: -333597216*m*v - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 163910 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (20\/15)\/((-6)\/(-45)) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -658.249 + -6.851. Round j to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824838917.\nAnswer: 3, 11, 1093, 50593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073441803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 23 = 13. Suppose 0 = -2*d - 30 + 96. Calculate the remainder when d is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23487967 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-297) - ((-2312)\/306)\/68.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 3:38 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777018548?\nAnswer: 2, 4889, 39733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 9 = -3*j, 3*j + 3*u = 8*j - 13. Let k = 8 - 5. Solve -j*y + 3 = -k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4309, -8600, -12889, -17176, -21461, -25744, -30025?\n\"Answer: r**2 - 4294*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/3 (b) 5 (c) 3 (d) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/405 and 41\/405?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27386.\nAnswer: 2, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-9)*-4*36\/96.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:24 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**4\/17 - 6*d**3 - 144*d**2\/17 + 2*d\/17 + 48\/17 = 0.\nAnswer: -24, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 588 and 3136?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81 - -112) + (-1)\/(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 3. Let o = 149 - 149. Let w = o - t. Let l(g) = -g**3 + g**2 + 5*g - 2. Determine l(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -1 - 14. Suppose 0 = x*s + 4*s. Suppose 0 = -s*p - p + 3. Solve -p*z + 4*q = 13 - 3, 3*z = -q + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**9\/7560 + l**8\/1680 - l**6\/180 + l**5\/60 - l**4\/24 + l**2. Let f(g) be the second derivative of i(g). Factor f(u).\nAnswer: -2*(u - 1)**3*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -156*d + 1. Let h(f) = f - 541. Determine i(h(s)).\nAnswer: -156*s + 84397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 397 + 47. Suppose 26 + 0 = 2*d. What is the remainder when l is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gveeig. What is prob of sequence eig?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - 0 - (5 - 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6608963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 4. Let o be b(-4). Solve -5*k + 2*k + 15 = o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, o: 12, p: 1}. Give prob of picking 1 o and 1 p.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -87. Solve y = -y - c*d - 2, 0 = -y - d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -39.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1663957154 - 0.03\nAnswer: -1663957154.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((-144685)\/241225 + 6\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 3. Let d(n) = -4 + n - 3 + 4. Let g be (-6)\/((-9)\/6*-1*(-12)\/(-9)). Give g*d(x) + 2*j(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*d + 82 = 264*d. Which is smaller: d or 52?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7\/5))**(1\/5) assuming y is positive.\nAnswer: y**(-7\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10b6b41 + -a?\nAnswer: -10b6b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254208 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -16*y - 11. Let g(t) be the second derivative of -10*t - t**2 + 0 - 1\/2*t**3. Let b = -17 + 19. What is b*k(c) - 11*g(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3384 is divided by 404.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.1. Let a = -8.3 - -3.3. What is the closest to 0 in a, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -505349630 - -505349636.99999987. Let l = u - 7. Round l to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 4\/9, 2\/9, 6398, 0?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*2*4)**2 + 4*(sqrt(567) + 1 + sqrt(567)) - (-1 + (-1*(-3 + sqrt(567)))**2).\nAnswer: 126*sqrt(7) + 35717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/36248 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 0.5 (b) 1 (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 6:25 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + -16. Solve z*q = i + 28, -4*q + 2*q + 25 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 141130.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 12:08 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 84970 divided by 530?\nAnswer: 8497\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12381238 and -3?\nAnswer: 37143714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kktttkktktkk. What is prob of sequence kkt?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5739 or -5725?\nAnswer: -5739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 17113*i. Let x(g) = 3*g**2. Give r(x(u)).\nAnswer: 51339*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*d - 714*d + 287*d + 288*d - 1023*d.\nAnswer: -1349*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 678 = -1378. What are the prime factors of a?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*q**2 + 2*q**3 + 16\/3 - 8*q = 0. Calculate q.\nAnswer: -2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3187854 (base 9) to base 11.\nAnswer: a69aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {z: 3, q: 2, g: 9, h: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 35 + 4 + -1 + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1)\/((-180)\/(-248)) + 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 407, 413, 419, 425, 431, 437?\n\"Answer: 6*z + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3256032 and -736.\nAnswer: -3256768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 11. Let w(r) = r**2 + 5*r + 5. Let t be w(-5). Calculate the lowest common multiple of h(13) and 4\/(-2)*t*-2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbrb when four letters picked without replacement from {b: 3, m: 1, r: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.043 and -0.167.\nAnswer: 0.007181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1182 or 1183?\nAnswer: 1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 6. Let z be m(5). Suppose -5*w + 2330 = 3*c, 6*w = z*c + 4*w - 3150. Suppose -c = -8*k + 3*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.5 to the nearest integer.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25429 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -5. Let y(d) = 3*d**2 + 2*d - 1. Let z be y(n). Solve -2*k + 10 = 4*t, t - 2 = 4*k - z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/20 and 37\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqrqqqkqqfqfqf.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214974666.\nAnswer: 2, 3, 229, 52153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/306)\/((-3)\/(-18)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22413 (base 5) in base 12?\nAnswer: -b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1987627806?\nAnswer: 2, 3, 31, 3562057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2 - 32085*r + 64182 = 0.\nAnswer: -10697, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30*1*21\/(-63)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 21\/2810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y**2 - 7*y. Let v(n) = -57*n**2 - 57*n. Let q(d) = -4*v(d) + 33*z(d). Determine f, given that q(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 698645.1 to the nearest ten thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 14*o + 312. Give v(40).\nAnswer: 2472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-96) - (-23)\/(-8) - -4569. What is the greatest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200211 (base 3) to base 10\nAnswer: -508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 9 - 6 - 1 - 19*d to the form g + n*d and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4262 by -1.\nAnswer: -4262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*p - 693 + 289 = 626 + 146 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4345268 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 1518 - 48*k**2 + 0*k + 1507.\nAnswer: -48*k**2 - 3*k - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2. Let b be 14*(-1 - -2) + (-5 - -1). Let s(l) = 30*l + 10. Let c(j) = -10*j - 3. Let m(p) = b*c(p) + 3*s(p). Give x(m(y)).\nAnswer: -500*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 0*d + d**3 - 1\/20*d**5 + 17*d**2 + 0 + 1\/120*d**6 - 5\/24*d**4. Let u be m(4). Solve -8 = u*k - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 101. Suppose 4*h = -33 + m. Let a be (4\/3)\/((-8)\/h)*3. Solve -6*y = -a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 14*w - 11. Let v be o(-15). Let i be (2 - -14)\/v + 10. What is the greatest common factor of i and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 4)*(-20)\/(-8). Suppose 3*a = b*r - 20, 12 = 2*r + 4. Solve a = -p + 5*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 68030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 76, -5, -1, 3, -15 in descending order.\nAnswer: 76, 3, -1, -5, -15, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 + 8*m - 85 - 59 - 61 + 29.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1987 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0*w + 4*w - 465, 2*w + 4*q = 240. Calculate the smallest common multiple of 4249\/35 - 6\/15 and w.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-17) - (-588)\/(-1020)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129.75 - -1.55. What is l rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-30 - (-15 - -17))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6018 divided by -354?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1869.3*-6.\nAnswer: -11215.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(98) - -4*(-1 + sqrt(98))) + -3*(sqrt(2) + -1)*6*6)**2.\nAnswer: -72448*sqrt(2) + 176562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - t**2 + 8*t + 4. Let w be b(-3). List the prime factors of 23 + (3 - 7)\/w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -45.8. Which is the biggest value? (a) -1\/7 (b) l (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*f + 13 = -77, 0 = -4*f + 16. Let x = g - 16. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -5425?\nAnswer: 5417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.22 - -0.22. Which is the second biggest value? (a) 0.3 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8412*q*w**4 - 7*q*w**2 + 32228*q + w**2 wrt w.\nAnswer: 33648*q*w**3 - 14*q*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 887345562 a multiple of 648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*b**4*x**3 + 2*b**2*x**3 - 4*b*x**3 - 2*b*x**2 wrt b?\nAnswer: -600*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-270)\/(-15) - (792 + 2). Which is smaller: x or -784?\nAnswer: -784","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -1 - 36*r**2 + 17*r + 16 - 2*r. Let x(i) = -3*i + 13. Let t be x(0). Suppose 3*a + 7 = t. Let j(p) = -5*p**2 + 2*p + 2. Give a*w(k) - 15*j(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10164 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 34713*z - 555374. Give j(16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128 + -146. Calculate the smallest common multiple of 17 + -2 + (-54)\/g and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.684 - -5.416. Is r != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4337 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*i - 731 = 40*i + 4 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 535904 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j - 13*j - 7*j + (-6 + 3 + 2)*(2 - 2 - j).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*z**2 + 257*z**2 - 556*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 830 + -830. Solve -4*p + 16 = -3*g, -2*g + 5*p + b = 13 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2. Let b(y) be the first derivative of 8*y**2 + 9. Give b(i(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11510 = -5*i, 9811 - 585 = 4*i + 2*q. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.15 + 52. Which is the closest to 0? (a) z (b) -2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pyppyypvvpppypppvvv?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 42 + 56 = 3*m, -a = 2*m - 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.5659 to one decimal place.\nAnswer: -94.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36358 and 135362?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -4, -2 in descending order.\nAnswer: 75, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/28, 172, 0.4, 394, -5 in descending order.\nAnswer: 394, 172, 0.4, 1\/28, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42199\/4 - 38809\/4. Let t = s + -830. Let k = 17 - t. Sort k, 0, -1 in descending order.\nAnswer: 0, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8977 + -313.\nAnswer: -311.1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s**2 + 40*s**2 + 3 - 5*s**2 + 0*s**2 to the form q*s**2 + z + r*s and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 14*b**2 + 13*b + 1. Let i be n(-12). Suppose i = 5*l - 2*k, 0 = 2*l + k + 3*k - 34. Calculate the remainder when 47 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1233*w**3 + 17*w**2 - 153566*w?\nAnswer: -7398*w + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39759 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 69 - 2*i**2 + 224*i + 1 - 224*i.\nAnswer: -2*i**2 - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x, 3*x - 9634 = -2*l. Let t = -96267\/20 + l. Calculate the common denominator of t and -73\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30744349*s**2 + 30744348*s**2 - 122977385*s**2 + 30744352*s**2 + 30744337*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 204?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, -126, -353, -700, -1191?\n\"Answer: -4*o**3 - 24*o**2 - 31*o + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/6 + 0)*9\/2. Suppose 4*g + 11 = i*g. Let t(p) = 2*p - 2. Let f(o) = -1. Calculate g*f(q) - t(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-10725)\/(-330))\/(5\/(-2))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - o**2 + o. Let u be d(0). Let h = 0 - u. Solve -2*i - 7 = -5*l - h, 4*l - 4*i = 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1528727283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 763 - -8186?\nAnswer: 8909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*2\/3. Let b be z\/3 + (-2)\/(-6). Suppose 4*a + 0*a + 3*n = 16, -a - n + 5 = 0. Is a at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 28 + 10 + (-2 - 1 + 1)*(4 - 2 - 5))*(k**2 - 1 + 1).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5591430280?\nAnswer: 2, 5, 181, 772297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 10:58 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26205 and -0.2.\nAnswer: 5241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*t + 601. Let r be (-3)\/12 - t\/8. Let c = -15 + r. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - -280?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(1\/5)*f*f*f**(3\/2)*f*f)\/(f\/(f**(-2\/9)\/f)*f*f\/(f*f*(f\/((f\/(f**0\/f*f)*f)\/f)*f)\/f)) assuming f is positive.\nAnswer: f**(403\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/63 + 584803\/172860. Let r = u - -2\/8643. Calculate the common denominator of 97\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0 - 1\/28*k**4 - 9*k + 0*k**2 + 1\/7*k**3. Factor u(v).\nAnswer: -3*v*(v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571 = 8*g + 219. Calculate the lowest common multiple of g and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/2))\/j**16)\/(j**(-12)*j**(-39)) assuming j is positive.\nAnswer: j**(71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-10) - (1710816\/1920)\/(-251)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2edf6 (base 16) to base 8\nAnswer: -566766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 29*m**2 + 5*m + 24. Let p be l(-8). What is the remainder when p\/30*(-27)\/(-4) is divided by 106?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17572519 and 4031?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 564, -2627, -5848, -9099, -12380, -15691?\nAnswer: -19032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 2*r**2 - 1. Let w(i) = 6*i**3 + 10*i**2 - 4209*i - 3. Determine -4*p(u) + w(u).\nAnswer: 2*u**3 + 2*u**2 - 4209*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 1:52 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.086 + 18.714. Let w = j - -172.2. Let o = 191.00000151 - w. Round o to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5 + (-65)\/25. Let q = 5 + -8. Let z = j - q. Put -2, z, 5 in ascending order.\nAnswer: -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6585 (base 16) to base 13.\nAnswer: -baa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + o + 227. Let p be i(13). Which is smaller: 289\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469409.2654 rounded to the nearest 100?\nAnswer: 469400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 1 + sqrt(7)*3 + -3.\nAnswer: -2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50\/281 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 2*p + 1. Suppose 4*w + 2*z - 6 = 2, -4 = -2*w - 3*z. Determine v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (231\/(-385))\/(9\/(-66)). What is n in 4\/5*n**3 + 2*n**2 - v*n + 8\/5 = 0?\nAnswer: -4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c50bc (base 13) in base 3?\nAnswer: 10110102200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1038532 or -1038544?\nAnswer: -1038544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 17*f = -36. Suppose -z = -f + 35. Let a be (z\/29)\/((-3)\/18). Is a greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, h: 5, r: 1, q: 1, w: 3, p: 1}. Give prob of picking 1 h, 1 r, and 2 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -22. Solve 4*f - 5*f = -n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36, 57, 270, 603, 1056?\n\"Answer: 60*t**2 - 87*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let q(y) = -2 - 17*y - 17*y + 2 + 4*y. Give q(c(n)).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/120*(-6)\/(-4))\/(360\/(-27000)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67759821 divided by 3.\nAnswer: 22586607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/8 + 5\/4)*387\/129. Put 0.1, b, 0.06, 3\/5, -4 in decreasing order.\nAnswer: b, 3\/5, 0.1, 0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4083 divide 223357625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**7\/42 + f**5\/20 - 121*f**4\/12 + 2*f + 8. What is the third derivative of j(z) wrt z?\nAnswer: 60*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 40. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 300 - 2281*v + 123 + 202 + 70 + 188 wrt v?\nAnswer: -2281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230022 and 1131.\nAnswer: 6670638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 84*w - 1590. Calculate the remainder when 248 is divided by v(-53).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-6*(-2)\/(-48)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a**2 - 2*a - 626. Let r(o) = 4489*o. What is t(r(s))?\nAnswer: -201511210*s**2 - 8978*s - 626","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (1 - 1) + 8 + (20 - 29) - 5\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 684\/81 - (3 - -5)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 0)*(0*w + 11*w - 2*w)*(3*w**2 + 2*w**3 - 3*w**2).\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + -1 + sqrt(147)*-3))*-4)**2.\nAnswer: 672*sqrt(3) + 21184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32033 (base 4) in base 2?\nAnswer: -1110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 3*g + 8*o - 19, -3*g - 13 = 28*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -125 and -5.1.\nAnswer: -130.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -229 + 29. Let z = 432 + s. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/120 - z**5\/20 - z**4\/24 - 7*z**3\/6 - 8*z**2. Let v be k(4). Let f(t) = t**2 - 6*t - 1. What is f(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 541 divide 180491666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52677 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4992 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 301*q - 149*q - 148*q. Let o(f) = -43*f**2 - f. What is h(o(l))?\nAnswer: -172*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11010010120001 (base 3) to base 15\nAnswer: -2d31c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 11*o**2 + 11*o + 39. Calculate the remainder when 224 is divided by h(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:27 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 32, 2, 10\/9 in descending order.\nAnswer: 32, 2, 10\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1107 - -1812. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*x + 5454, 5440 = -333*a + 337*a - 4*x. Calculate the remainder when a is divided by 270.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -31950 (b) -0.2 (c) -3 (d) 1.9 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) 11165 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 10:01 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = -13. Let r = q - 4. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 579348 and 504?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8167, 8143, 8119, 8095?\nAnswer: 8071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. Let a(i) be the second derivative of -7*i**3\/6 - 11*i. Calculate a(w(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802936 (base 13) to base 7.\nAnswer: 34204162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 65, 57, 49?\n\"Answer: -8*i + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 9. Let b be q(9). Let t(d) = 3*d**2 - d**3 + b*d**3 + 1 + 1. Let x be ((-15)\/10)\/((-2)\/4). Give t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 - -130. Solve 0 = 3*z - 2*z - h*l - 14, -2*l = -z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 78. Let r(v) be the third derivative of 129*v**2 + 0 - 1\/60*v**5 + 0*v**3 + 0*v**4 + 0*v. Calculate r(p(q)).\nAnswer: -q**2 + 156*q - 6084","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-28) + (-68)\/(-14). Suppose -v*h + u = -242, 0 = h + u - 8 - 44. Calculate the highest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6811, -8263, -9715, -11167?\n\"Answer: -1452*l - 5359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 0 + 2*a**2 + 0)*(-1523 - 1160 + 2204) + 1 + a**3 - 1.\nAnswer: 959*a**3 - 958*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -23*q**2 + q. Calculate i(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -14*y - 138. Let t be u(-10). Let s(z) be the third derivative of 7*z**6\/120 + z**5\/20 + z**4\/24 + z**3\/3 - z**2. What are the prime factors of s(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/9009 and 191\/546.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*(sqrt(28) - (sqrt(28) - sqrt(252))) + sqrt(140)\/sqrt(5)*-5))\/((-4*(sqrt(4)*1 - sqrt(4) - sqrt(4)) - sqrt(4)) + -5*sqrt(36)\/sqrt(9)).\nAnswer: -35*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*s*t*x + 2*m*s + 85*m*t*x + 2*m*t - 4*s*t*x - 2139*s*t - s + 810*x + 278 with respect to x.\nAnswer: -m*s*t + 85*m*t - 4*s*t + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 96 = 2*h. Let b = 326 + -191. Suppose -13*i + b = -10*i. Calculate the remainder when i is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -7. Let z = 28 + j. Let b be 2 + (-218)\/(-2) + -1. What is the greatest common divisor of z and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-48))\/(1125\/(-360))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 0 (b) 0.041 (c) -31 (d) 2\/13 (e) 10 (f) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 6*g - 2*g + 90100, -x + 22519 = -2*g. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14940 or -14597?\nAnswer: -14940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4689 + -3378. Calculate the remainder when w is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 5 - 1)*(0 + 5 - 6) + 0 + 0 - 1)*(5*z**3 - 1 + 1) to the form i*z**2 + q + p*z**3 + j*z and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*1 + 1*sqrt(1250))\/((sqrt(1000) - -1*sqrt(1000)) + (sqrt(90)\/sqrt(3) + sqrt(30))\/sqrt(3)))**2.\nAnswer: 80\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from mmkmmkmmkmmmkk.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-161)\/(-1449))\/(((-357)\/(-35))\/17)?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -31.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 5991326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1584\/20)\/(-4) + (-2)\/10. Suppose 2*u - 2*t + 5*t = -59, 0 = -4*u - 3*t - 109. Let c = w - u. Solve -j + c = -6*s + 2*s, -15 = s - 3*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 less than or equal to 7\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 2123*r**9\/504 + r**5\/30 - 266*r**4\/3 - 420*r**2. Find the third derivative of w(s) wrt s.\nAnswer: 254760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/42 and -3\/154?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -422 (b) -0.4 (c) 34 (d) -0.001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 12*r**2 - 3*r + 13. Let u(f) = -8*f**2 + 2*f - 8. Let d(p) = -5*o(p) - 8*u(p). Give d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31823 (base 13) in base 2?\nAnswer: -10101110010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiiidiidiiiiiid. What is prob of picking 1 q and 3 d?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-2320))\/((-259)\/370)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -16230 and 0.\nAnswer: -16230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(52)\/(sqrt(4) + sqrt(100)))**2) + sqrt(13) + (sqrt(208))**2*4.\nAnswer: 2*sqrt(13) + 29939\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/1)\/((-3)\/(-12)). Suppose 4*o + a = 12. Suppose 0 = u - 3*u + o, -4*u = -w + 61. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52040*v + 26015*v - 5 - 500*v**2 + 26024*v)*(-7*v**2 - v**3 + 7*v**2) + 0*v**3 + 0*v**3 + 2*v**5.\nAnswer: 502*v**5 + v**4 + 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92712 - -92720. Let z(o) = 8*o**2 - 8*o**3 - 14*o - 12 + 0 - 3*o**3. Let h(s) = 4*s**3 - 3*s**2 + 5*s + 4. Give x*h(g) + 3*z(g).\nAnswer: -g**3 - 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = -2*d + 4, 3*d + 4*q - 14 = 0. Calculate the remainder when 5\/(d\/(-4)) + 51 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23268426 divided by -45714\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + (sqrt(243) + sqrt(243)*4)**2.\nAnswer: 6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*f**4*g + 55*f**4 + 338*f**2 - 2*f*g + g wrt f.\nAnswer: -264*f*g + 1320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8516 divided by -675?\nAnswer: -8516\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(72)\/(sqrt(8) + sqrt(48)\/sqrt(6)))\/(sqrt(363)*-4*-4).\nAnswer: 5*sqrt(3)\/352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 172232028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50 + 26 - 527*d**3 - 533 - 136*d**3 - 211 with respect to d.\nAnswer: -1989*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 9, r: 3}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**5\/((i*i**(-1\/10)*i)\/i) assuming i is positive.\nAnswer: i**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3775 (b) -9 (c) 1748\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1818)\/306 + 6)*0. What is the nearest to a in 2\/3, -2\/5, 32?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6191 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1)\/(12\/9 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49522 + -194568. Let b = t + 20046. Round b to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1824, -2.\nAnswer: -2, 16, 1824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -5*u**8\/56 + 5*u**7\/42 + u**4\/12 + 23*u**3\/3 - 179*u. Find the third derivative of w(p) wrt p.\nAnswer: -600*p**3 + 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -24.45. Round a to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -p - 6 - 7, -5*r - 19 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 5, v: 3}. Give prob of picking 1 b and 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g - 2*g**3 - 2*g**2 + 3*g**3 + 2*g - 6*g**3 + 7*g**3. Let i(n) = -4*n**3. Calculate the least common multiple of i(-1) and x(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2 - 428*u + 6698 = 0?\nAnswer: 17, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -64 - (1 + 22 + -25 + (17 - 7))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81517, 163040, 244561, 326080?\nAnswer: 407597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 e, and 1 p when four letters picked without replacement from {p: 1, e: 2, g: 9, i: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2679 - -4471. Let x = -768 + o. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 3*f - 453. Calculate the greatest common factor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2277787453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 36*g - 35*g. Suppose -4*v = -0*v - g. Let a(i) = 9*i + 15. Does 18 divide a(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79631507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/2770 and 12\/(216\/39)*3\/(-554)*-7?\nAnswer: 5540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3110, -6219, -9330, -12443, -15558, -18675, -21794?\nAnswer: -24915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.577 + -0.223. Is -0.1 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-2)\/4*(-43 - -40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 6.86. Let l = 0.1 + v. Let z be -7 - 17\/((-238)\/98). Which is the nearest to z? (a) -0.3 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 - -50. Let l = 55 + k. Solve -w = -5*z - 2, -l*z + 0*w - 2*w = 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(2) + -1) + sqrt(72))**2 + (sqrt(112)\/sqrt(63))\/(sqrt(648)*-2))*-5*2.\nAnswer: -1320 + 8645*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-6))\/(-13)*9\/(-20)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09097 and 2.42.\nAnswer: -0.2201474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 16 - 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161449383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 2. Let w(d) = -13*d - 9. Let x = 740 + -742. Give x*w(i) - 9*a(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83209223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10399\/4 + 11657287\/4484. Let s = -93035\/4484 - f. Let l = 67830\/13 + -5215. Find the common denominator of s and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/732 (b) 0.44 (c) 0.1 (d) -4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 339, 5, 2 in decreasing order.\nAnswer: 339, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + 4*d - 4*d**2 - 4*d**3 - 104*d**4 + 108*d**4.\nAnswer: 4*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-6 - -13) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/1 + 1\/3*6. Put -2, -5, -14, b in decreasing order.\nAnswer: b, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = 4*t + 2, -2*t - 3*d - 3 = 0. Suppose t = 4*y + y - 15. Solve -y*j - 4 = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 19*w - 81. Let z(b) = 16*b - 81. Give -5*d(a) + 6*z(a).\nAnswer: a - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2.09 times -43.51\nAnswer: -90.9359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -4*(sqrt(13) + -1))*1 - ((sqrt(104)\/(3*sqrt(8)))**2 + 3).\nAnswer: -3*sqrt(13) - 4\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -64*d + 64*d - 5*d**2 + 3*d**2 + 4*d**2. Let s(z) = -4*z. Determine x(s(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -149 + 17?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -123 and 2402 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - v - 3. Give m(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 3*10\/(-15). Let u(w) = w**2 + 2*w - 3. Let h be u(j). Calculate the highest common factor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + i = -2*i - 60, -2*a + 2*i + 56 = 0. Suppose -j = j - a. Let x = -7 + j. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -94233, -83117, -72001, -60885, -49769?\n\"Answer: 11116*p - 105349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 2*d**2 - 1. Let z(c) = 8*c**3 - 14*c**2 - 6. What is -6*o(t) + z(t)?\nAnswer: 2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21473034 or -21473032?\nAnswer: -21473032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8387*a**3 - 3 - 166344*a + 166344*a.\nAnswer: 8387*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4300, 4303, 4306?\nAnswer: 4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0684 - -0.0684. Let s = 633\/7 - 90. Let b = 0.02 + 0.48. What is the second smallest value in b, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/(25 + (-1728)\/64)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006861 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-316)\/(-28) - (-2)\/(-7). Let x be (1 - r) + (2 - 0). What are the prime factors of 1\/((-2)\/x*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4875*c - 26 + 112 - 4874*c)*(21 - 21 + 4*c**2) to r + h*c**3 + d*c**2 + k*c and give d.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide (-1 + 0)*3\/((-6)\/392)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19618 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5635.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 7. Let g(t) = -t**3 - 2*t**2 + 2*t - 1. Let h be g(o). Let k = -5 - -7. Is k not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 6*z**2 - 858*z + 6050.\nAnswer: 2*(z - 11)**2*(z + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000715 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 99025 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3030 and 356631?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 42*v - 11637. What is l(89)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46360 + -59348.8. Round y to the nearest one hundred.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -3\/725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0038296t?\nAnswer: 3829600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - 5*v - 6. Let f be (-60)\/(-14) + (1 - 36\/28). Let z be j(f). Let k = 156 - z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1475106 by 1.\nAnswer: -1475106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19, -154, -351, -586, -835, -1074?\n\"Answer: 4*z**3 - 55*z**2 + 2*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 - 18?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5\/7 - 2*g**3\/7.\nAnswer: 2*g**3*(g - 1)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 282.5668 litres?\nAnswer: 282566.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6 + (-28056)\/(-72) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-260)*(-330)\/4. Let v(m) = m**3 - 12*m**2 + 182*m - 1210. Let c be v(8). Is u equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffnnf. What is prob of picking 4 f?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -22. Let o be (-2)\/1*45\/f. Solve -o*x - 28 = t, 0 = -5*x + 4*t - 2*t - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 77*s - 1. Let k(v) = v + 22. Let h(d) = -6*d - 143. Let c(m) = 2*h(m) + 13*k(m). Give w(c(x)).\nAnswer: 77*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -j - 499, -8 = 3*j + 1. Suppose -11141 + y = -5*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**4\/3 + 632*c**3\/3 + 49478*c**2\/3 = 0.\nAnswer: -173, -143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 14) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (548\/(-186) - -3)*4140\/(-6900)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5028 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 966, 7590, 25554, 60528, 118182, 204186?\nAnswer: 324210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 12 (c) 2 (d) 2\/3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -50. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -17\/15*w**7 + 7\/24*w**8 - 4\/3*w**4 - 4\/3*w**3 + 23\/30*w**5 + 0*w + 0 + 67\/60*w**6 - 28*w**2. Factor b(m).\nAnswer: 2*(m - 1)**3*(7*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*r - 8*r**2 + 1480 + 5*r**2 - 1480 + 70*r.\nAnswer: -3*r**2 + 143*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 - 111*r + 3. Give d(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + 121. Calculate the greatest common factor of 80 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p + 8 = 0. What is the common denominator of ((-287)\/(-14))\/(1\/p) and 87\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0 (c) 4 (d) -36.746\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6540*z - 5774821. What is r(883)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1117973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 3 - (1466 - 1444)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2092 in increasing order.\nAnswer: -2, 0, 2092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -79878932 divided by -11411276?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -782 - -781.999999327. What is c rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 989, -230, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67779170 is divided by 183.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26186404 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16*m**2 + 5595*m - 16834. Determine q(3).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -1475*f**4\/12 - 2986*f**2 - 1548*f. What is the derivative of h(n) wrt n?\nAnswer: -2950*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 91 = -4*s, 0*q - 109 = -q - 2*s. Suppose 15 = v - q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021903789 less than -0.22?\nAnswer: -0.198096211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-7728)\/40)*(-12)\/65.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*sqrt(720) + -4 - (((-2 + sqrt(720) + sqrt(720))*3 - sqrt(720)) + -4)) + -2)**2.\nAnswer: -336*sqrt(5) + 35284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/514620 and 49\/23386620?\nAnswer: 210479580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + o**2 - o + 2. Let b(s) = 26*s**2 + 18*s - 80. Let c(d) = b(d) - k(d). Is c(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.05, 5\/4, -3.7.\nAnswer: -3.7, 0.05, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 215600 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31*-29.26.\nAnswer: 9.0706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, 2, -1 in decreasing order.\nAnswer: 2, -0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -l - 2*l. Let j(o) = 2*o**2 - 2*o**2 - 2*o**l + 0*o**2. Let x(s) = 3*s - 6*s + 2*s. Give x(j(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*g = -2730002 - 1386133. What are the prime factors of g?\nAnswer: 5, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 69, 134, 201, 270?\n\"Answer: u**2 + 62*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f - 138. Calculate s(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/6 of a millennium?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35151, 71365, 107579?\nAnswer: 143793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -p - 7, -3*p + 49 = 2*p + 3*b. What is the remainder when ((-3)\/(-5))\/((-7)\/(-175)) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 + z. Let y be (0 - 6\/(-3)) + -3. Let p be q(y). Suppose 3*t + p*t = -25. Let g(d) = -d - 2. Let b(o) = 2*o + 3. Determine t*g(h) - 3*b(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*f - 35*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*o**2 - 122*o**2 - 75*o**2 in the form c*o**2 + n + s*o and give c.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10)*1*110. Suppose 6802 = -36*x + w*x. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 301?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*b**4 - 42*b**4 + 744*b**2 - 380*b**2 - 4*b - 362*b**2 to i*b**2 + h*b**3 + t*b**4 + s + v*b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:01 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329890403*u + 391*u**2 + 329890403*u.\nAnswer: 391*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n - g = -48*n + 9 - 14 + 40, 13*n + 7 = 3*g - 112 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22176 and 47124.\nAnswer: 376992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 99223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753363.\nAnswer: 3, 13, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 - -4. What is the biggest value in 0.4, -1, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 35. Let m = -26 - h. Let n(a) = -a - 1. Let j(b) = 3*b - 1. Let c(x) = j(x) + 4*n(x). Determine c(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1075, 4283, 9639, 17149, 26819, 38655, 52663?\n\"Answer: j**3 + 1068*j**2 - 3*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1694 + 1696. Put -5, -11, o in descending order.\nAnswer: o, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 788, 1568, 2348, 3128?\n\"Answer: 780*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(180 + 918 - 108)*((2*l + 0*l - 4*l)*(-4 + 2 + 3) - 6*l + 2*l + 3*l).\nAnswer: -8910*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/10158335 and -7\/63822.\nAnswer: 60950010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {a: 3, k: 5, j: 1, d: 1, v: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5721 is divided by 1096?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59560237 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0)*(16*m - 2*m - m) as d + b*m and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**1*w)\/w**(-3\/4))\/(((w*w**3*w*w*w)\/w)\/(w**5\/w))*((w**0)**(-28))**(-2\/21) assuming w is positive.\nAnswer: w**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 3*x + 5*l, 0*x - 149 = -2*x + l. Let m = -271 - -362. Suppose -6*n = -x - m. What is the highest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2326*w**2 + 23*w - 4921 - 6*w**2 + 4919 - 25*w to p + g*w**2 + f*w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.574 and 833.\nAnswer: -478.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 4 - 2 - 12*s**2 + 5 with respect to s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.95 - -5.95. Which is the biggest value? (a) -3 (b) -4 (c) m (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -5. Suppose -3*c = 4*x, 2*x + 3*x + 4*c = -1. Suppose x = -y + 10. Calculate the lowest common multiple of y and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 739752 - -210716. Let r = -950490.99948 + p. Let c = 23 + r. Round c to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrr when three letters picked without replacement from rrjrrrjvrrvrrr?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 3*y**2 - 2*y - 1. Let n be r(-3). Calculate the highest common divisor of 10 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/2795250 and 79\/37270.\nAnswer: 2795250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 8*m**2 + 10*m - 14. Suppose 63 = -114*i + 121*i. Let g be d(i). Let w be 0 - 2 - 16\/(-7). Is w > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3*l - 4*l)*(18*l**2 - 4*l**2 + 10*l**2).\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 3*d**2 - 2*d + 1. Let u be l(2). Suppose 0 = -f + 12 + u. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x - 8. Let s be n(11). Calculate the highest common factor of 806 and s.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7865869 and 5720632?\nAnswer: 62926952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 1\/12*a**4 + 3\/2*a**2 + 0 + 1\/2*a**3 + 1\/20*a**5 - 2*a. Suppose 3*b = -2*b - 10. Give r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -14. Let m be (10\/(-36))\/(1863\/92 + -19). What is the nearest to -2\/7 in v, -1, -0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/27 + 3 + 332\/(-498)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 827 - 775 = -13*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 321256338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sddh when four letters picked without replacement from {h: 1, f: 1, s: 1, o: 4, p: 6, d: 2}.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111118617?\nAnswer: 3, 12346513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2266 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6*w = 15. Let r be -1*(3 - (w + -3)). Let f be r\/3 - (-14)\/10. Is f not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.7 (b) -2\/23 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36584594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:49 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 1. Let l be y(-2). Let r = 9 - l. Suppose r*h + 3348 = 3*f, 3*h + 2*f = 8*h + 4192. Round h to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uks when three letters picked without replacement from skuysut.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1201221 (base 3) to base 7\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -41\/3. Let w be 10 - 1 - (3 - 0). Let l be 18\/10 - w\/6. What is the second smallest value in l, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6340 divided by -10?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2629\/(-9560))\/((-1914)\/(-290))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m. Suppose 2*h + 4*t - 14 = m, t - 26 + 9 = -5*h. Determine f, given that -6*f + 10*f**h - 3 - 1 - 8*f**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 6) + 12 - (-10 + 21).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -141 = 218.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2900 = -3*i - 2*i, -2882 = -5*d - 4*i. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80556 by -6713.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 + v - 2. Suppose 6 = 2*y + q - 9, 2*y - 2*q = 0. Suppose -o + 5*s = 3*s + 6, y*o + 5*s = 30. Give f(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, 88, 184, 282, 382?\n\"Answer: a**2 + 91*a - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 16. Let x be p(-7). Let w = -15\/7 - -51\/14. Which is the second biggest value? (a) -0.5 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/36*-3*8*1. Let g(o) = o**2 - 3*o - 1. Give g(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/11 in -1, -136417, -5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46150518 divided by 3?\nAnswer: -15383506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -284444, -1137854, -2560232, -4551578?\n\"Answer: -284484*u**2 + 42*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1356 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.4. Let m = 36\/17 + -229\/68. Let b = 0.168 + 0.032. What is the closest to 0.1 in b, x, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9668936.93 rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 0*y - 3, 2*y - 43 = -n. Suppose -4*t + 5*p + 17 = 0, -5*t + t + n = 3*p. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16796 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 - 1)*(-22*g**2 + 8*g**2 + 16*g**2)*(4 - 3 - 2 + (5 - 4 + 1)*(-3 + 4 + 2)) in the form a*g + b*g**2 + j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 2*c - 2*b, 3*b = 3. Let l(s) = -4*s**3 + 8*s**2 - 5*s + 5. Let a be l(c). Is a\/(-6) - (-10)\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.1. Which is the third biggest value? (a) u (b) -0.03 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598353587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -172.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50234*u**3 - 2*u**2 - 3*u + 975.\nAnswer: 301404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/110 and 76\/14625.\nAnswer: 321750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {x: 4, z: 2, s: 1, b: 2, a: 5}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/4, 0.4, 5\/2, -15543, -2, -3\/8, -1\/2?\nAnswer: -15543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 14) to base 6.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 18 = -2*j. Let r = -0.7 - -2.9. Put -0.5, r, j in increasing order.\nAnswer: j, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18)*-1)\/((-8)\/(-18)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, c: 2, o: 3, h: 2}. Give prob of sequence ofoo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Suppose p*l = l. Suppose m + 0*u - u - 8 = l, -2*m - u = -7. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*g - 25. Calculate the remainder when 537\/5 + (-3)\/(-5) is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.129 - -0.329. Let h = -7357.21177 - -7370.01177203. Let p = h + t. Round p to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94708386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 3*d + 119, 0*d = -6*k + 2*d - 5*d - 351 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/523676 and -35\/2848.\nAnswer: 4189408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4547, -9249, -14067, -19001, -24051?\n\"Answer: -58*m**2 - 4528*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3060 and 627660?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -10 - (1\/(-7))\/((-184)\/15272)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 + -76. Suppose -4*k + 20 = 4*u - w, 2*u - 4*k - 18 = 0. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*p**2 + 91*p**2 - 82*p**2)*(1 - 2 + 3).\nAnswer: -68*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 3410 = -280*y - 342 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/863532 and -9\/5146?\nAnswer: 26769492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 4*i**2 - 5*i + 2. Let z be x(3). Let r = -0.39 - 0.61. Which is the second smallest value? (a) r (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 830582036.\nAnswer: 2, 19, 1163, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(180)) + sqrt(180)*-2*-1 - ((sqrt(180) - (sqrt(180) + 0)) + -4)*3)**2*6.\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-60))\/(4\/(-42) - ((-277150)\/840)\/23)?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.985 times -120.4?\nAnswer: -961.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187528.533 and -0.4.\nAnswer: -75011.4132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -604*c - 57390. Calculate a(-95).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/4 - 271*h\/4 + 267 = 0. Calculate h.\nAnswer: 4, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.5 - 117.5. Let q = -133.000178 - i. Round q to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 4:41 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 + 31*f - 305. What is d(5)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, m: 1, g: 3, k: 2}. Give prob of picking 2 g and 1 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -62*m**2 + 2*m - 27. Let c(u) = 181*u**2 - 5*u + 77. Calculate 4*c(r) + 11*w(r).\nAnswer: 42*r**2 + 2*r + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 215 = 39*h - 12*j, -3*h = 2*j + 132 - 125 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14904192 by -6.\nAnswer: 2484032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 53*c**2 - 280*c + 80. What is the thousands digit of s(-57)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2. Let i(s) = -1798*s. Give o(i(x)).\nAnswer: -3232804*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 54595524.\nAnswer: -655146288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 2153, -114 in increasing order.\nAnswer: -114, 0.08, 2153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -31. Suppose -230 + 54 = -y*a. Solve -c - 2*x = 2*x - 10, -a = 5*c - 4*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u = i - 5*i - 49, -134*i - 3*u - 5 = -136*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 902681974*j**3 - 1240154140*j**2 wrt j.\nAnswer: 5416091844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*(-3)\/(-1). Find the second derivative of 127 - 22*k**c + 152*k**2 + 152*k - 151*k wrt k.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 205*y**3\/2 + 1453*y**2 + 503*y\/2 - 7 = 0.\nAnswer: -14, -1\/5, 1\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 - 221. Let w = 1713 + g. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158936 = 3*v + 4752*x - 4756*x, 0 = 4*v - 2*x - 211908. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 + 6*u. Suppose 0 = 3*b - 4*b + 2. Suppose 5*y = -5, -3*n + 0*n + 8 = -2*y. Let q(h) = -h**n + 5*h**2 - 2*h**2 + 2*h. What is b*t(g) - 7*q(g)?\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121554*f**5 - 47428*f**2 wrt f?\nAnswer: -7293240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**2\/2 - 2*v - 11. Let s be -1*(0 - (-2 + 2)). Determine y(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 28*p + 13410 = 0. Suppose v + b + 4*b + 11 = 0, -3*v = 2*b - 6. Suppose v*g - p = -5*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*k + 2*k**2 + 28*k + 0*k**2)*(5 + 0 - 1) + 6*k**2 + 0*k**2 - 4*k**2 to the form d*k + b + c*k**2 and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -2*t + 0*t**3 + 0*t**2 + 1 - 2\/5*t**5 + 0*t**4. Differentiate g(y) with respect to y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56 - -3512?\nAnswer: 3456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 - 37 = 0. Let u be -4 - z*(-7)\/(-14). Solve -s - 3 = -u*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 2*j - 1. Let h(o) = 2*o. Let d(x) = 11*x. Let s(c) = d(c) - 5*h(c). Let y(f) = i(f) - 6*s(f). Determine y(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491027573 to the power of 1\/3, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*b*f**3 - 2362*b*f**2 + 11*b*f - 2885068*f**3 with respect to b.\nAnswer: 10*f**3 - 2362*f**2 + 11*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13217846\/87 or -151930?\nAnswer: -151930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 3)*(3*h - 7*h + 0*h)*(-18*h + 1 + 18*h - 4*h**2).\nAnswer: 48*h**3 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1396 = -239*y - 2858 - 2123 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Suppose -2*v = 4*x + 12, 2*v - 4*x - 4 = -0*x. Let m be (v - -3) + -1 + 2. Solve n = h - m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0*p**3 + 59\/12*p**4 - 28 + 29*p**2 + p. Find the first derivative of q(g) wrt g.\nAnswer: 118*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30509.6 rounded to the nearest one hundred?\nAnswer: -30500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 199*w + 9. Let a(z) = -49*z - 2. Calculate 26*a(b) + 6*x(b).\nAnswer: -80*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 5*z + 5. Let o(w) = w**2 - 19*w + 5. Let y be o(19). Calculate the lowest common multiple of j(6) and y\/10 + (-30)\/(-4).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, j: 2}. What is prob of sequence jj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 33050\/1877?\nAnswer: 33050\/1877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 33989?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3 = 9. Let j be ((-2)\/x)\/(10\/45). Suppose -2*n = -4, 3*n + 24 = -j*k + 4*k. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 194065898 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003000722 rounded to 5 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*r - 158*r + r**3 + 421*r - 136*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*(sqrt(76)\/sqrt(4) + sqrt(19)))**2.\nAnswer: 48*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 551*a + 17747. What is q(-142)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/s)\/(s*s**0)*(s*s*s**(2\/5))**(-20))\/(((((s\/s**(-3))\/s)\/s)\/(s*s\/s**(2\/7)))\/((s*s*s**3)\/s**(2\/3))) assuming s is positive.\nAnswer: s**(-1007\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = y - 9, l + 1 = 2*y - 8. Suppose v - 90 = -4*v - 5*f, -78 = -y*v - f. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-480195)\/(-21342)*46\/15\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2475, -3020, -3927, -5196?\nAnswer: -6827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 + 41. Calculate the highest common factor of g and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -1)*5 + 2 + sqrt(176)*-2 - (1 + (-1 + sqrt(176))*6))**2.\nAnswer: -48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 247*o**2 + 2. Is b(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3851 * 1\nAnswer: -3851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 386\/397?\nAnswer: 386\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhlelmmem. What is prob of picking 1 h and 1 l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44.389 + 0.389. Let y = -45 - q. Sort 2\/15, y, 3\/2 in decreasing order.\nAnswer: 3\/2, 2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 150, 326, 570?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - m**2 - 1. Let y(i) = -7*i**3 + i**2 + 24. Let p(l) = k(l) + y(l). Differentiate p(t) wrt t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -426 + 4279\/10. Let t = 218909\/20 + -10940. Find the common denominator of i and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g + 108. Let j be l(23). Sort -3, j, 7 in increasing order.\nAnswer: j, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 + 22*p**3 + 16*p**2 - 40*p.\nAnswer: 2*p*(p - 1)*(p + 2)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(3 + 1 + sqrt(272)) + sqrt(272) + -3 + -1 + sqrt(272) + sqrt(272) + sqrt(272) + 2 + -5)**2.\nAnswer: -2002 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/12 - 13*d**3\/6 + 11*d**2\/2 - 4*d. Let m(f) = 3*f**2 - 51*f + 43. Let q(b) = -2*m(b) + 9*y(b). Is q(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5818*-12492\nAnswer: -72678456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)\/g**(-1\/2))**(-28) assuming g is positive.\nAnswer: g**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-42) - (3 - 6 - -5)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 1. Calculate the least common multiple of 8 and c(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -24*o**3 + 14*o**2 + 10*o + 14. Let b(y) = 1 + 23*y**2 + 2*y - 5*y**3 + 3 - 10*y**2 - 10*y**2 - 1. Determine -14*b(f) + 3*d(f).\nAnswer: -2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 22*m**2 - 6*m + 126. Calculate l(4).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbo when three letters picked without replacement from hoobhhr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -11. Suppose -b - 7 = 3*w, w = -4*b + b - 13. Let o be c\/8*b\/(-2). Solve o*g = -0*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1591299.8999944 + -1591299. Let y = -21 + 21.9. Let b = y - f. Round b to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 + 0*a**2 - a**2 + (-2*a + 4*a + 0*a)*(2*a + 0*a - 5*a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 962? (a) -0.2 (b) 5 (c) 0.13 (d) 28 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32925, 65844, 98765, 131688, 164613, 197540?\nAnswer: 230469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4544246*b**3 + 6*b**2 - 63327*b + 3 wrt b?\nAnswer: 27265476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1593*q**3 - 3*q**2 - 3*q + 447. Let g(j) = 11152*j**3 + 22*j**2 + 22*j - 3130. Let p(i) = 3*g(i) + 22*y(i). Find the first derivative of p(f) wrt f.\nAnswer: -4770*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 5 - k**2 + 4.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48b + 11e6d?\nAnswer: 119e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 455, 573, 691, 809, 927, 1045?\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n + 101. Let t be y(8). Put 3, 1, t, -2 in decreasing order.\nAnswer: 3, 1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*m = 36. Suppose 8*i = 11*i - m. Solve -3*a + 2*p - 20 = i*a, 22 = -a + 4*p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - (-22 + 4 - -20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from ygsyytyiyyscycyygs.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 - 3*h + 2. Let l(x) be the third derivative of x**5\/60 + x**4\/24 - x**3\/6 - 2*x**2 - 35. Determine -k(d) - 3*l(d).\nAnswer: -d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137 - 19. Suppose 2*p = -x + 686. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvv when three letters picked without replacement from hvhvhvhhvhvvhvvv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 884?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*z - 32*z + 66*z - 5*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**2 + 8*j + 7. Let y(x) = 13*x**2 + 15*x + 13. Let w(p) = 11*u(p) - 6*y(p). Calculate w(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13303 is divided by 146?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -642391, -2569651, -5781751, -10278691, -16060471, -23127091, -31478551?\nAnswer: -41114851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 22662*a**4 + 42910347*a**3 - 427405320*a**2 + 1067098800*a.\nAnswer: 3*a*(a - 3772)**2*(a - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1405 - -1451. Calculate the lowest common multiple of 11 and t.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.26 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b + 5 + 9)*(-b**3 + b**3 - 4*b**3).\nAnswer: -4*b**4 - 56*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 + (-30)\/(-7). Factor 4*m + m**5 - 10*m**4 - 3*m**3 + 19*m**4 - 11*m**4 + c*m**2.\nAnswer: m*(m - 2)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -30*n + 46. What is the units digit of m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/135*1*-7*36\/(-210)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235104 and 477476.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.8. What is the closest to r in 0.5, 1, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgkokkokggggkgmo. What is prob of picking 1 m and 1 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33722782 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyaqqyqpqqqypqlyaqq. What is prob of picking 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*z**4 - 29*z**3 + 63*z**2 - 19936918*z - 2?\nAnswer: -684*z**2 - 174*z + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547363 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 56*b - 761 = -1713 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5691*c*d**2*x**3 + c*x**3 + 2*d**2*x**3 + 59*d**2*x + 2*d + 2*x**3 wrt c.\nAnswer: -5691*d**2*x**3 + x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -4, -21, -42, -67, -96?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -3, -1\/141, 2\/7, -2300\/17?\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1. Let j(s) = -s**2 - 3*s + 1. Let w(n) = j(n) - 3*y(n). Let a be w(-5). What is the remainder when 13 is divided by 4\/a*-3 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/1 - (-1820)\/280?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -1 - 12) + (4 - 18 - (-2 - 1)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1335 is divided by 827.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 9*l - 20. Let w be b(-10). Let v(r) = r**2 + 7*r - 26. Let y be v(w). What is the greatest common divisor of y and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/14*126\/45.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/2036443 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -389\/240 + -37\/80. Find the common denominator of 65\/8 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*o + 3*c + 2*c, 0 = o + 4*c - 4. What is the first derivative of z**o - 1 + 0*z**4 - 1 wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 11:30 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.35998893 to two decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 657995378 or 657995375?\nAnswer: 657995378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 3*y - 14 = 4*g, -5*g + 2*y = -24 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcwcwwwqxchccc. What is prob of sequence wc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (66*u**2 - 24*u**2 + 66*u**2)*(6 + 0 + 1) as h*u**2 + x*u + t and give h.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + -70?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 75.15 * -0.5\nAnswer: -37.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2454*g**3*v + 27641792*g**3 - g**2*v + 100*g*v + 2*v wrt v?\nAnswer: 2454*g**3 - g**2 + 100*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2799*l**2 + 927*l**2 + 937*l**2 - l**3 + 935*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 27*k**2 - 38*k + 148. Is 25 a factor of f(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 40*n\/9 - 14\/3.\nAnswer: 2*(n - 1)*(n + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11949862 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117 or -5?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2\/5 + (-8366)\/(-10)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 40 - 38. Suppose 0 = -4*j + l*m + 102, 0 = -5*j + 4*m + 79 + 41. Let t = 21 + -7. Calculate the highest common divisor of j and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 610\/122 + 30\/(-2) + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.52 - 34.12. What is b rounded to 0 decimal places?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((4\/20)\/(606*(-5)\/(-225)))?\nAnswer: -101\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142591967593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 55. Suppose q - j + v = 26, -5*j - 10 = q. Suppose -3*a + q = g, -5*a + 35 = g + 4*g. Solve -3*d - 9 - 2 = -a*o, -5*o = -2*d - 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -28552624.\nAnswer: -11421049.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3127 - -4a?\nAnswer: -30dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10478.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4 + 20*l**3 - 43*l**2.\nAnswer: -24*l + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v + 2. Let j(o) = 21*o**3 - o**2 + 9*o - 10. Let w = -108 + 110. Let r(z) = w*j(z) + 10*q(z). Find the second derivative of r(m) wrt m.\nAnswer: 192*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/22 + (-960)\/(-44) + -6. Suppose t = 4*n + 11, -3*n - 11 = 3*t + i. Put 2, t, 6, -2 in increasing order.\nAnswer: t, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -94*w - 4. Let v(x) = 94*x + 6. Calculate 6*l(m) + 4*v(m).\nAnswer: -188*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -57 + 18. Suppose 0 = 3*o + a - 9, 0 = -0*o + 4*o + 4*a - 12. Solve -n - o*x = -t, 6*n + x + 3 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*g - 6 = 0, 18 = 3*c - 0*g - g. Let r(a) = -a - 5. Let t(k) be the second derivative of k**3\/3 + 9*k**2\/2 + 52*k. Determine c*t(s) + 11*r(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4\/36 + 32*s**3\/9 - 512*s**2\/3 + 80*s - 114. Let u(r) be the first derivative of c(r). Factor u(g).\nAnswer: -(g - 32)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 3*k**3 - 2352*k + 2352*k in the form t*k**3 + i*k**2 + r + z*k and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58916 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -35375\nAnswer: -8\/35375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-5*(-3*sqrt(7) - sqrt(7)) + sqrt(7)).\nAnswer: sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = -3. Suppose v*c - 3 - 9 = 0. Let l(g) = -5*g - 24. Let z be l(-6). Calculate the greatest common divisor of z and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -847767*-1\nAnswer: 847767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 4. What is a(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.7 - 3.6. Let n = j - 5. Let v = -0.899958 - n. What is v rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377649 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k**3 + (2 - 2 - k**2)*(-k - 2*k + 2*k))*(59 - 104 + 51).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**2 - 517596*j - 517592 = 0.\nAnswer: -129398, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34715.25 centimeters in kilometers?\nAnswer: 0.3471525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 272 + -203. Suppose 606 = 9*o - y. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -543, -544, -545, -546, -547?\n\"Answer: -w - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2454044897 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -3. Let k = d + 5. What is the biggest value in k, 2, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five halves of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 20*w**2 + 35*w + 50.\nAnswer: -5*(w - 2)*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.15 minus -27874?\nAnswer: 27902.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 4 (c) -238 (d) -12 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33530.3015 + 13.0574.\nAnswer: 33543.3589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 8*x - 5*l - 2714, -2*l - 5452 = -2*x. Let a = 5210 - x. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 5052*v + 5054.\nAnswer: -2*(v - 1)*(v + 2527)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51222 is divided by 16999.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 181938*u + 181937.\nAnswer: (u - 181937)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*s**3 - 5654*s**3 + 8944*s**3 + 11526*s**3.\nAnswer: 14898*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 273754 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-6))\/(1\/4). Let j(u) = -5*u - 7. Let w(p) = 26*p + 36. Let v(x) = 11*j(x) + 2*w(x). Let d be v(k). Solve -d = -3*h - a, 5*h - 1 = 5*a - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10*s + 19 = -11*s, 5*x - 2*s + 14 = 0. Let q(d) = -d**2 - 3*d + 1. Let g be q(-3). Suppose 12 = -l - 3*l. Put l, x, g in decreasing order.\nAnswer: g, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 36, 26187, 4 in decreasing order.\nAnswer: 26187, 36, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) 126 (c) -5\/4 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 81 = 3*o - 7*t, -2*o + 3*t = -51. What is the lowest common multiple of o and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*h + 40*h + 3*n = -18, -3*h + 4*n + 20 = 0. Solve 0 = -h*w - 10 - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75269?\nAnswer: 75269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34682502?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 4\/3, 14, 29, 6 in increasing order.\nAnswer: -5, -4, 4\/3, 6, 14, 29","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*d - 20 = 0, 0*f + 4*f + 8 = 4*d. Let v(s) = 10*s**f + 9 + 370*s + 3 - 371*s - s**3. Give v(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2 - -1) + -9. Let l = 5 + g. Let i = -5 - l. Solve 4 = 4*z - i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5013*b**2. Let l(w) = 64*w - 27. Let y(u) = 57*u - 24. Let c(s) = 8*l(s) - 9*y(s). Calculate z(c(i)).\nAnswer: 5013*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276681365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -290\/9 + 446\/9. Let x be 2 + -1*2 + -2. What is the common denominator of 1*x + 201\/(-9) and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 5. Let y(w) = 9*w - 164. Let t be y(19). Let f(l) = 3. Give t*f(i) + 4*j(i).\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/242 and 101\/110.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 7*w - 2*w - 55, 5*w = 2*k + 13. Calculate the greatest common divisor of 30 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2. Let m(q) be the second derivative of q**4\/6 + 8*q. Give i(m(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2532087 divided by -844029.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32761 (base 9) in base 2?\nAnswer: 101010100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4186328456?\nAnswer: 2, 523291057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 - 7*i - 51. Let x(r) = 11*r**2 - 12*r - 101. Let a(p) = 5*t(p) - 3*x(p). Calculate the remainder when 129 is divided by a(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7a - -7?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 166 divided by 14\nAnswer: 83\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyytqqqytdo. Give prob of sequence yy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(102)*-1*-3)\/((-2*sqrt(168))\/(sqrt(175)*-2 + sqrt(175)))*-1.\nAnswer: 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 2*m + 4. Suppose -4*r = -0 - 52. Let x(a) = r*a**2 + 13*a + 5*a + 17 - 9*a. Determine 9*d(c) - 2*x(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnennenennnnnnn.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 53*d**2 + 3*d + 1. Let c(v) = 51*v**2 + 4*v + 1. Let r(j) = -7*c(j) + 6*q(j). What is the second derivative of r(y) wrt y?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*p - k = -71*p - 31899, 4*p - 25525 = 5*k. What are the prime factors of p?\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*n - 1 - 2*n - 2*n.\nAnswer: 30*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 6*m. Let u be s(-6). Let v be 1*14 - (2 + u). Let f = v - 6. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) 0.3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 665 - 620. What is the remainder when 1304 is divided by h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*l - 84*l + 621 = 0. What is the lowest common multiple of l and 27?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - j**2 + j + 1. Let g(b) = -14*b**3 - 12*b**2 + 12*b + 18. What is -12*f(p) + g(p)?\nAnswer: -2*p**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cssdararaqs. Give prob of picking 1 c and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 3575*v + 1785*v + 0*v**3 + 1790*v.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 17*j**2 - 18*j - 4. Let g be z(18). Let p(h) be the first derivative of h**2\/2 + 1. Give p(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -5537 (c) 3 (d) -50.3 (e) -1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**6\/105 + 3*i**5\/70 + i**4\/14 + i**3\/21 - 9*i. Factor c(a).\nAnswer: 2*a*(a + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**4\/7 - 56032*b**3\/7 + 296952*b**2 + 56032*b\/7 - 2078660\/7 = 0.\nAnswer: -14045, -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-8)*q))\/q**(1\/15))\/(q\/q**(2\/3))**18 assuming q is positive.\nAnswer: q**(29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -10\/3*c**2 + 13 + 25\/9*c**3 - 5\/3*c. Factor a(o).\nAnswer: 5*(o - 1)*(5*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, c: 2}. Give prob of sequence occ.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3716)\/(-30) - 10\/(-75)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Let o = -7 + k. Let x be 25\/(-14) - ((-474)\/42 + 11). Which is the biggest value? (a) -2 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n + 4\/27*n**3 - 1\/27*n**4 + 0 - 1\/270*n**5 - 17*n**2 + 1\/540*n**6. Factor h(r).\nAnswer: 2*(r - 2)*(r - 1)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017435 rounded to five dps?\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 2. Let d(k) = -k**2 - 5*k + 5. Let l = -7 + 9. Calculate l*d(x) - 5*h(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4\/5 + 72*i**3\/5 - 806*i**2\/5 + 3168*i\/5 - 2432\/5 = 0. Calculate i.\nAnswer: 1, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 408 * 4.\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -304*j**2 - 1 - 9*j - 3*j + 306*j**2 + 3*j - 3*j - 2*j**2 + j**2 - 3*j**2 + 0*j**2 + (3 + 2*j - 3)*(2*j - j - 2*j) as r + q*j**2 + g*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4852 - 4388.6. What is g rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863847974 to the power of 1\/2, to the nearest integer?\nAnswer: 43172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 109670995 = 3*l, -10*h + 73113998 = -2*l - 8*h. What is l rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**3\/6 + 9*q**2\/2 - 12*q. Let r be w(-5). Find the second derivative of -3*j + 0 + 11*j**5 + r*j + 0 wrt j.\nAnswer: 220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413287102.\nAnswer: 2, 17, 31, 392113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1774, 159, 2092, 4025?\n\"Answer: 1933*d - 3707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 933192516*g**4 - 1129444870*g**2 wrt g.\nAnswer: 22396620384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -537, -234, 69, 372, 675, 978?\n\"Answer: 303*h - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**8\/84 - m**6\/15 + m**4\/6 + m**2 + 21*m + 32. Let j(q) be the second derivative of a(q). Find k, given that j(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.14 and 216?\nAnswer: 216.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -3*m - 12, 28*m + 19 = 24*m + w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**24)*h)\/((h\/h**10)\/h)*(h\/h**18)\/h*h\/h**(-2\/9))**35 assuming h is positive.\nAnswer: h**(5740\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 0*g**3 - 2*g**3 + 4*g**3 + (g - g - 3*g**2)*(-5 - g + 5) to c*g + p*g**2 + j + z*g**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 35. Suppose 4*d = 3*k - 74, z*k - 2*k - d - 23 = 0. Suppose b = k + 28. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4072 + 4855. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(112) - (sqrt(112) - (2 + (sqrt(112) - (sqrt(112) + 2*sqrt(112)))))**2).\nAnswer: -4048 + 208*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + 2 - (-11 - (-6 - -9) - -4).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-10))\/(1\/(-5)). Let u be (3 + -2)*(1 + p). Suppose 0*s - s = -u. What is the remainder when 20 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 - 55 = -2*r + 2*l, -3*l = -2*r + 248. Calculate the remainder when r is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, 2, -13, 3, -2.\nAnswer: -13, -2, 2, 3, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let v(h) = -6*h + 15. Let g be v(2). Solve n = 2*t + 3 + g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168031*q**4 + 204401*q**2 wrt q.\nAnswer: 4032744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 d when four letters picked without replacement from rdomoooomorm.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 54496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -117108 and -0.5.\nAnswer: 58554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 129897720 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -38*p**2 - 83*p + 8. Let b be a(-2). Solve -b*o - 91 = -25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 39669*s**2 + 39669*s**2.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 196 + -2b?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 + 81 + 3*b**2 + 89 - 2*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -14. Let c = 15203 - 15201. Solve c*f - 5 = -p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 1\/2*s**4 + 63\/2*s**2 + 17*s**3 - 17*s - 32 = 0?\nAnswer: -32, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -258 + 66. Let p = w - -193. Solve 0 = 4*k + 5*b - 2, -p - 5 = 2*k - b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 941873 is divided by 94187.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376999 = -5*o - 3*a, -11*o + 9*o + 3*a + 150808 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2 + (-10422)\/(-1494) + (-4 - (4 - -1))\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5150371 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + sqrt(243)*1*5)**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -1.25, -71?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 65*q**2 + 9*q + 9. Let n(l) = 16*l**2 + 2*l + 2. What is -9*n(a) + 2*x(a)?\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/24 and 68\/87?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17311\/2682 + -3\/298. What is the common denominator of 77\/2 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1393 and -4 + (-5032)\/(-84) + 6*(-4)\/(-252)?\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 13*v**2 + 13*v - 15. What is y(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 5. Let y be t(-6). Solve -2*u - 2*x = 6, -5*u + x = 4*x + y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2851926?\nAnswer: 2, 3, 7, 11, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*f + 18*f - 3*t + 27, 0 = 2*f + 5*t - 27. Solve -m + 8 = f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g + 2. Let c be a(0). Solve 0 = y + 5, -4*y = -c*i - y + 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 - -257. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*(sqrt(147) + 1))*4)**2.\nAnswer: -224*sqrt(3) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 89, 215, 391?\n\"Answer: 25*r**2 + r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 432.5 + -433. Let f be (-676)\/(-14)*-1 - 1. Let i = f - -49. Which is the smallest value? (a) -1 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 3 - 3 - 3*l + 3*l + 2*l**4 + (2 + 2*l - 2)*(-6*l**3 + 4*l**3 + 0*l**3) - l**4 + 0 + 0 + (2*l**3 - l**3 - 2*l**3)*(l + l + 4*l).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 834.3 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9)*-3*9. Let k be (-2)\/(-2)*(v + -2). List the prime factors of (-126)\/(-4) - k\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 175b - -5?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 315, 311, 305, 297?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1816182966 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 578400 - 578399. Let a = -8 + 3. Put -0.1, -0.3, q, a in increasing order.\nAnswer: a, -0.3, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-15) + 2\/6. Let q(d) = -d + 6. Let u be q(0). Let m be (2\/u)\/((-2)\/(-18)). Solve 3*k + 9 = -m*j, 4*j - k + 12 + z = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 12*x + 3. Let m be -1*(-1 + 8) - (-4)\/2. Calculate the smallest common multiple of 24 and u(m).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - -3. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277 - -282. Let l be 0\/((-2)\/(0 + 2)). Suppose 0 = -3*q - 2*f + 1, -v*q + 2*f + 27 - 4 = l. What is the second biggest value in q, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-90)*-15)\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.2, 18307 in increasing order.\nAnswer: 0.2, 7, 18307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*r - 10 = -409*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*u, -23 + 4 = 5*z - 2*u. Let x be (-4 - z)*-97 - 2. Let j = -62 - x. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 8*c - 4. Suppose 2*a - 5*z + 26 = 0, -3*a + 3*z = 2*a + 27. Let o be h(a). Solve -4*j + 1 = l, 0*l = 4*j + 3*l - o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2208\/5*y - 1\/5*y**3 + 2304\/5 - 19*y**2 = 0.\nAnswer: -48, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5\/4 - 3845*o**4\/4 - 3847*o**3\/2 = 0.\nAnswer: -2, 0, 3847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.56 rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 4 + 4)*(2*g + 5 - 5)*(19 + 4*g - 57 + 34) - 2*g**3 + 0*g**3 + 0*g**3.\nAnswer: -10*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27425.418 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = l, 3*l - 4 = -3*o + 14. Solve 4*h - 5*p = -17, 3*h + p + l = 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 - 19*i - 10. Let a be l(9). Suppose -9*x - a = -11*x. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 64\/1999873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 7. Let a be (-12)\/30*2*5. Let o be z(a). Let v = 3 - o. Calculate the remainder when 9 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 296*r - 27. Let i(o) = 59*o - 5. What is 2*d(w) - 11*i(w)?\nAnswer: -57*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39662276, 39662277, 39662278, 39662279, 39662280?\n\"Answer: j + 39662275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17869 or -17870?\nAnswer: -17870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4)**(-34\/5)*q**7\/(q*q**(-16)) assuming q is positive.\nAnswer: q**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-25*g**3 - 218*g + 218*g).\nAnswer: -25*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12311 - -24991. What is i rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 43. Solve i*t - 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 158439*x + 158434*x = 87, -5 = -x for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i - 68. What is the remainder when q(19) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7116.7 - -7117. What is the fourth biggest value in y, 430, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.608*-3\nAnswer: -4.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/10*(-13500)\/(-1080)*(-8)\/(-30).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l - 4*v - 2 = 0, 2*v = -4. Suppose 0 = -l*d + 427 - 49. Suppose a - d = 180. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133277*n**2 + 266813*n**2 - 133560*n**2.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - b - 11398, -14*b + 22802 = 4*j - 15*b. What are the prime factors of j?\nAnswer: 2, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + 2375253\/269430. Let v = -2\/1283 + m. Let r = -15287\/1162 - -588\/83. What is the common denominator of r and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 346746844*c**3 - 614318630*c.\nAnswer: 2080481064*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 55 = 5*h + 9*n, -4*n = 4*h - 56 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 754 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/44617 or 1?\nAnswer: -10\/44617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-32)\/24)\/(-4)*24\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kei when three letters picked without replacement from ieeiwieieiiieiekkiei?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - -10. Calculate the least common multiple of i and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 13 - 12)*(-1 + 2 + 1)*(3*w**2 - 3*w**2 + w**3) to m*w**2 + l*w + g*w**3 + t and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*i*w**3 - i*w + 62*w**3 - 2*w**2 wrt i.\nAnswer: 50*w**3 - w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83894888.21 rounded to the nearest 100000?\nAnswer: -83900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269940217*v**6 + 603035536*v**2.\nAnswer: 32392826040*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/16 - (-1089)\/121\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k + 50. Suppose b = 4 + 5. What is the least common multiple of b and j(13)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 5*l + 5. Let w be y(-5). Suppose s + 4 = w*i - 16, -3*s = 2*i - 8. Let g = 3 + s. Solve m - g = 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 7233*g - 14478.\nAnswer: 3*(g - 2413)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = -0. Suppose 4*j + i*t = 4*t + 14, -t = -5*j + 25. Find the third derivative of w**2 + 0*w**2 - 2*w**j + 3*w**6 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, u: 3, m: 4, g: 10}. Give prob of sequence em.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 21*x - 60. Solve -26 = x*m - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 + 31 = 38*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 477, 3850, 13005, 30834, 60229, 104082?\n\"Answer: 482*b**3 - b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1089190 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i**2 - 125*i - 589. Calculate the remainder when y(-5) is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i = -5*q - 12*i - 16*i + 29 - 93, 140 = -3*q - 101*i for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/31800763?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28647 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgeeeejejj. Give prob of sequence jj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.3, -2, -4, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 0*j - 5*n + 12 = 0, -1 = 5*j - 12*n + 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -56 - 59\/6*v**6 - 26*v**2 + 0*v + 0*v**5 + 0*v**3 + 0*v**4. What is the second derivative of n(i) wrt i?\nAnswer: -1180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-3)\/(-12)*-8. Let o = w - -13. Let p(h) = 12*h + 6. List the prime factors of p(o).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734 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 u = 1241.8 - 473. Let s = -769 + u. What is the nearest to -0.4 in s, -1\/3, 3\/13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 5*h**2 + 19*h - 14. Suppose 41*p - 42*p - 6 = 0. What is the hundreds digit of f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 20. Let j be s(-10). Suppose -3 = -q + x, q + 2*x + 3*x + 15 = j. Which is the nearest to q? (a) -3 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -5. Let j = 0.072 + -7.972. Let y = 8 + j. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 53.51 and 146947.\nAnswer: 147000.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1038 + -319. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 3\/20*y**5 + 2*y**2 + 0 + 0*y**3 + 0*y**4 - 10*y. Differentiate o(w) wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -42. Let s(m) = m**3 - 11*m**2 - 18*m - 2. Let r be s(n). Which is smaller: 1\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3983078*b**4*t - 440035*t wrt b.\nAnswer: 15932312*b**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4) + -3 - -67 - (4 + -10 - -14)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 302178, 604346, 906520, 1208700, 1510886, 1813078, 2115276?\n\"Answer: 3*y**2 + 302159*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 186 - 13*j**3 + 263.\nAnswer: -13*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76593925931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23.78855l?\nAnswer: 23788.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from djrdd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/32*6\/45)\/(26\/(-351)).\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12904*u + 46119. What is y(4)?\nAnswer: -5497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 64606*a**2 + 129218*a + 64610.\nAnswer: -2*(a - 32305)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 202201 (base 3) to base 15\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/35 and -11\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1438 and 138615949.972.\nAnswer: 138615950.1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*f = -78*f + 20. Suppose 4*g + 0*c - 5*c = 1212, f*c - 1560 = -5*g. Suppose 8*u - 12*u + g = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 336 and 444696.\nAnswer: 889392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93 and 37851?\nAnswer: 37851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10579960 to the nearest 10000.\nAnswer: 10580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 + (-9)\/21. Suppose -2*p = -3*u - 15, 3*p - 2*p - 9 = 2*u. Let o = 13.8 - 13.9. Put o, n, p in descending order.\nAnswer: p, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1794.9 + 1795. Which is the smallest value? (a) k (b) -3\/5 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 0. Let h = 4.3 + -4.3. What is the smallest value in g, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -109 + 14*y + 109 + 2*y + 4*y - 4*y - 3*y - 2*y + 4*y - y + 0*y + 3*y + 2 - 2 + y + (0 + 2 - 4)*(-2*y - 2 + 2) - 6 + 6 + 2*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614058 is divided by 2205.\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(686) - ((sqrt(686) - (2*sqrt(686) - sqrt(686))) + sqrt(686) + sqrt(686))) + sqrt(686))\/(sqrt(2) - 5*sqrt(2)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k - 3*k + 21*k + 15*k to r*k + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 437237, 437236, 437235?\n\"Answer: -g + 437238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6065*p - 11348*p + 21132 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 678 a factor of 58566996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32268, -32199, -32128, -32055?\n\"Answer: l**2 + 66*l - 32335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 19\/6 (b) 11 (c) 75 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22630 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = 9*p - 238. Let j be (8\/p)\/(130\/105). What is the closest to -1 in -0.5, j, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*a + 5549 = 0, 2*n + 357 = -a + 3128. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(sqrt(243) - (sqrt(243) + -1*sqrt(243))))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2467*q**2 + q - 1233*q**2 - q - 1234*q**2 + 7*q**3.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 42*j + 2 = 0. Let k(n) be the first derivative of -24*n**2 - 3*n + 3. Let c be k(j). What is the highest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*l - 3 = 25, 0 = 2*l + 10 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2391602 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75888 divided by 1?\nAnswer: 75888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 24*m**3 - 102*m**2 + 176*m - 96.\nAnswer: -2*(m - 4)**2*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -101*k**3 + 90*k**2 + 12 + 35*k**3 - 6*k - 3*k**2 + 90*k = 0.\nAnswer: -1\/2, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 = 5*m - 0*c, 4*m + 3*c = -5. Let j = -2 + m. Let u be -3*(-4)\/(-6)*j. Solve u*b = -8 - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63943.27l to millilitres.\nAnswer: 63943270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 0.042, -156?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Let f = 0.092 - 6.092. Let o = f + 1. What is the third biggest value in p, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:23 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - h + 2. Calculate the remainder when 34 - (3 + -3 + -1) is divided by i(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 2:34 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) -187 (c) 1 (d) -0.3 (e) -2\/747\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1010011001?\nAnswer: -1010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -260, -547, -938, -1433, -2032, -2735?\nAnswer: -3542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (6 - (15 - 12)) + -25\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 9 = 24. Suppose 2*l - 4*m = 22, -5*l - b*m = -6*m - 34. Let z = 6 + -3. Solve -2*i + l*i = -z*o - 9, 2*o - 14 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -5 - (-1 + (10 - 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78094543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157.0349 + -158.59. What is u rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*t - 24*t + 4*s + 32, 0 = -5*t - 3*s + 91. Calculate the remainder when 215 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 4. Let f = c + 5. Let n(b) = b**3 + 5*b - 4*b - 4*b**2 + 2*b**2 - 2. Give n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from ddnuugw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/(k**(-5)*k) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -289321\nAnswer: -14466.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (sqrt(27) + sqrt(297)\/(sqrt(33)\/sqrt(3))))\/((sqrt(144)\/sqrt(4))\/sqrt(4)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*y - 1456*y + 480*y + 112 = -484*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 4. Let u(i) be the third derivative of i**5\/60 - 7*i**4\/24 + 5*i**3\/6 + i**2. Let p be u(5). What is the second smallest value in w, 0.4, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 35*v - 49. Let k(d) = 3*d - 4. Let r(y) = 4*j(y) - 49*k(y). Let f(h) = -18 + 6 + 12 + h. What is f(r(n))?\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -832, -11 in decreasing order.\nAnswer: 5, -11, -832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/3))**(11\/2)*(k\/k**(-4\/3))\/(k**(-3)\/k))**(1\/2) assuming k is positive.\nAnswer: k**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103146.1 decades in centuries?\nAnswer: 10314.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(9*j**2 + 11*j**2 + 6*j**2)*(3*j**2 - 2*j**2 - 3*j**2) to the form x*j**2 + t*j + i*j**3 + n + u*j**4 and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.29 + 0.41. Let w = d - 2.6. Let i be 1*(15\/(-6) + 2). Sort w, i, 0.5.\nAnswer: i, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2515723671 to the power of 1\/3, to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24777783 and 90846?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1855995*s**2. Let y(j) = 11*j**2. Determine t(y(g)).\nAnswer: 224575395*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8 + 4*y**2 - 6 - 3*y - y**3 - 1. Suppose 5*g - 19 = -5*a + 6, -2 = -g. Let p be c(a). Let h(j) = 8*j**3. Determine h(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145100 + 145100 + 3*z**3 + 11*z**4 - z - 39*z**2 to l*z + f*z**4 + i*z**2 + q*z**3 + j and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + b = -4*j - 1, b + 4 = 2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -9*d + 10*d - 349, 0 = 5*d - x - 1709. Calculate the remainder when d is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14844 or 14417?\nAnswer: 14417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23330099921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 0 - (-4 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286700?\nAnswer: 2, 3, 5, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9531?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 74148238 to the power of 1\/2, to the nearest integer?\nAnswer: 8611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + -1 + -3 + sqrt(1900) + sqrt(1900) + -1 + (-1 + sqrt(1900))*-1)**2.\nAnswer: -300*sqrt(19) + 9545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.03619378835 - 4932\nAnswer: -4931.96380621165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/((-2)\/(-2))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56532611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 156 = 4*s + 39, -36 = -3*g + 3*s for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - 3.64. Let g = 3.6 - p. Let y = g + -7. Which is the biggest value? (a) 1\/2 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136248 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5521 = 415. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1517961244 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233950?\nAnswer: 2, 5, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86687, 171172, 255657, 340142?\nAnswer: 424627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/(-133)*(-3675539)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**3 + 5916*w**2 = 0.\nAnswer: -1479, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 720589339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 1. Let v be g(3). Suppose -508 = 2*k + 4*j, v*j - 3*j = -5*k - 1237. Let u be 6\/(-8) - k\/32. Solve u*h - 4*h = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -2\/9536847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + (0 - -3) + -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-24\/5))**(1\/34) assuming i is positive.\nAnswer: i**(-12\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/1021?\nAnswer: 2\/1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 24 + 19)*(2*c**3 - 2 + 2).\nAnswer: -90*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(39\/21618) + 138\/(-23). Is v smaller than 547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, -0.2, -5\/201?\nAnswer: -5\/201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 10*z**2 + 8*z + 9. Let g be p(9). Suppose g*w = 4*w. Solve -4*l = o + 4*o - 25, -l + 5*o = w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -316*r**2 + 38 wrt r.\nAnswer: -632*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 8 + 3 + -22\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**2 + 5*w**2 - 469 + 474.\nAnswer: -8*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -936 divided by -52?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -239917, -1, -2.\nAnswer: -239917, -5, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264113307.\nAnswer: 3, 1499, 19577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 126, 3, 19\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.245, -1\/6, -0.3, -33, -1.4 in ascending order.\nAnswer: -33, -1.4, -0.3, -0.245, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 408845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3042716, -6085440, -9128164, -12170888, -15213612?\n\"Answer: -3042724*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 0*f**3 + 5 + 45*f**3.\nAnswer: 43*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 9*m. Suppose -2*d - j + 6 = 0, m = d - 0*j - 2*j + 2. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3662*b = -3658*b + 1314, -2*b - 1332 = -y. Suppose 18*n**2 + y + 270*n + 2\/5*n**3 = 0. What is n?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-11) - (138\/33 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.274 from -2.1.\nAnswer: 2.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*m = 18, -4*k + 0*m - 3*m = 0. Suppose -k = -z - 4. Is 37 + (z - -2) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 2:53 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 79 - 73 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135232 = -4689*x + 506*x - 43*x for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - k. Let l be h(-1). Suppose -7*w = -6*w. Suppose w = 3*g - 4 - 23. Solve l = 6*b - g*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 19*a**2 + 246*a + 3661. Calculate c(-14).\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58453.42 micrograms to milligrams.\nAnswer: 58.45342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232, -723, -1508, -2563, -3864, -5387, -7108, -9003?\nAnswer: -11048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdxtddcttttxctxc. Give prob of picking 2 x, 1 t, and 1 d.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 3:21 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (3 - 2) + -7 + (-37 - -25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.311 in 0.4, -7, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -62*k + 1. Let s(j) = -16 + 46*j + 16 - 39*j. Calculate s(o(u)).\nAnswer: -434*u + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 725658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*l - 37*l - 6. Find the third derivative of -15*h**2 - 12*h**l - h**3 + 10*h**3 wrt h.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 60824325.9 and 0.56187.\nAnswer: 60824326.46187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 111 = 30*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, i: 3, x: 2}. What is prob of sequence ooix?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 323879, 1294265, 2911575, 5175809, 8086967?\n\"Answer: 323462*j**2 + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*n. Let d be (14\/(-4) + 3)*n. Solve -2*l + 1 - 9 = d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(3120\/182)*(-48)\/7.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*h + 22*h + 12*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27873186 or 55746369\/2?\nAnswer: 27873186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -55\/6 + 215\/6*m + 10\/3*m**2 = 0. What is m?\nAnswer: -11, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 10. Let r(o) = -o**2 - 7*o - 3. Let z be r(g). What is the units digit of (-1)\/(1 + z\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**7\/105 + 33*j**6\/40 + 19*j**5\/5 - 7*j**2 + 45*j. Find the third derivative of y(z) wrt z.\nAnswer: 48*z + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 92554525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3 - 3)*(4*j - 6*j + 4*j)*(-2*j**3 + j**3 - 2*j**3) - 6*j**4 + 6*j**4 - 8*j**5.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 3, q: 1}. Give prob of picking 3 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(2080\/(-5005))*6\/4*16\/(-28).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.6 - 12.6. Suppose -4 = 3*j + 5. Let y be (1 - (j + 1)) + -4. Which is the nearest to -1? (a) p (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**2 + 7*l**2 - 10 + 10.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k - 0*k + 144. Let j be k*((-20)\/8 - -3). Suppose 2*o = -0*r - 5*r + 137, 2*o - 157 = -r. Calculate the highest common factor of o and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -109673.49 and 3.\nAnswer: -109670.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 62 = -3*d, 2*d + 0*l - 3*l - 35 = 0. Suppose 0 = d*i - 24*i + 25. Put 0, -3, i in increasing order.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2586260 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g + 2 = 22*g. Suppose 2*x = 2*u, g*u + 2*x - 28 = -3*x. Suppose -5*h + 7 = -3*k, -4*h + 0 = -3*k - 2. Which is smaller: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 22*o**2 - 9*o**2 - 10*o**2. Let v(y) = -y. Give p(v(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24877 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1501057 - 95.4\nAnswer: 1500961.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 1. Let i(l) = -1. Let r(w) = 2*i(w) - t(w). Let q be ((-3)\/(-3))\/((-3)\/15). Let v(m) = m**2 + 4*m. Let s be v(q). Calculate r(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, i: 1, b: 3, u: 1, x: 1, c: 5}. Give prob of sequence upb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*h = -0*h - 140, 0 = -3*s + 2*h + 94. Let f be (-16)\/6*s\/(-8). Suppose 0*m = 5*m + f, -5*c + 191 = -3*m. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**6\/30 + 3*c**2 + 5*c. Differentiate d(q) with respect to q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*w + 46774*i**2 - 54*i*w - 2*i + 82*w + 7 wrt i.\nAnswer: -4*w + 93548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587458?\nAnswer: 2, 293729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 9*x**2 + 4. Let b be d(-9). Let h(j) = -j + 2*j + j**3 - 3 + 0*j**2 + b*j**2. Give h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132087341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*675\/45*495\/450.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 4. Let g be (c - (-6)\/4)*4. Suppose -g*y + 1 = -3*t - 0*t, 4*t = 2*y. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byyyyvuuvvuuuvyyvuu. What is prob of sequence yvy?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.441 - -1.441. Suppose 0*f + 10 = -2*f, -c + 3*f + 19 = 0. Suppose 3*z - c = z. Sort 4, m, z in descending order.\nAnswer: 4, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*s - 19 = 247*s + 179 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86654?\nAnswer: 2, 37, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-40)*5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 27 = 28*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 43 = -n + 5*x, -2*n = 5*x - 13. Calculate the remainder when 25 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (3 + -3 - (-4 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 181 + 119. Let t = 144 + m. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 498 and 219618.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78672178 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 329 (b) 2 (c) 10 (d) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154134*m = 154306*m - 4300 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/9)\/((-99)\/27 - -2). Let n be 1\/4 + (-22)\/(-8). Let z = n + j. Is -1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - 2*k**2 - 1)*(k - 12*k + 4*k)*(2*k - k - 6*k).\nAnswer: 35*k**4 - 35*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 640, 1110, 1894, 2992, 4404?\nAnswer: 6130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 32.2. Let d = b + -31.9999948. Round d to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 71*r - 78*r + 5*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**2 + 83904. Let w(n) = -2*n**2. Give k(w(j)).\nAnswer: -44*j**4 + 83904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 96 = q. Suppose 12*z = -6*y + 9*z + 1353, 0 = -y + 5*z + 209. What is the highest common divisor of q and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90 and -2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 340 + -332. Suppose -4*y + 3180 = w*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 727968510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**47)**(-2\/21) assuming l is positive.\nAnswer: l**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97286, 97559, 97806, 98021, 98198, 98331?\nAnswer: 98414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g, -2*t + g + 0 + 6 = 0. What is the second smallest value in -1, t, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4710 less than -8879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6641\/7 - -99487\/105. Let k = z - 4\/35. Which is the closest to k? (a) -0.01 (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 2:22 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7781428, -15562847, -23344266?\n\"Answer: -7781419*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((27*27\/(-4374))\/(1\/(-18)))\/((-80)\/10)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - -3) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 4)\/(3 + 33\/(-6)). Let b(i) be the first derivative of 0*i**3 + 6 + 0*i + 2\/5*i**5 + 0*i**2 - 3\/2*i**y. Factor b(h).\nAnswer: 2*h**3*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f + 1225 = 1078 - 447 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2233*-3.5\nAnswer: -7815.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168957478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-9)*(-133 - 1)\/((-104)\/(-78)). Which is the third biggest value? (a) -3 (b) 6\/7 (c) 0.1 (d) 1\/8 (e) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from uuqauqfuuaxaxaqaxa?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 12*v**2 - 13*v - 1. Suppose 0 = 3*b - 8*b - 2*y + 8, -3*b = 2*y - 4. Suppose -b*k - 4 = -k, 2*f - 3*k = 32. Is c(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7910155154.97780687 - -7910155118. Let r = k + -0.02213613. Let g = -37 - r. What is g rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -45. Let r = -30 - n. Let p = r + 55. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2 - -7*(-13)\/(-91)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189 (base 11) to base 3.\nAnswer: 22002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -302322022?\nAnswer: -302322011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -7109.\nAnswer: -49763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1188 + -2888?\nAnswer: -3a65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32318.9 - 32319. Let i be 9\/(-10) + 6\/15. Which is the second smallest value? (a) -0.3 (b) m (c) i (d) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -0.1, -10\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let b(v) = v**2 - 4*v - 10. Let d be b(-7). Let x(j) = 8 + 129*j - 2 - d*j - 59*j. Calculate -6*n(m) - x(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 4413, 8538, 12663, 16788?\nAnswer: 20913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctc when three letters picked without replacement from {w: 1, r: 1, o: 1, t: 1, f: 1, c: 12}?\nAnswer: 11\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -74*d + 510. Let j be u(7). Let i(z) = 54*z + 8. Let p(k) = 18*k + 3. Determine j*p(b) + 3*i(b).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (8 + -15 + (7 - 4) - 0) + 53.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 1 + 16. Let w = 24 + -4. Suppose -c*p = p - w. What is the closest to 0.1 in 0, p, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 207320507 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 970 divide 4997440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6569 is divided by 1312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 6*b**2 - 6*b - 7. Let z be j(7). Solve 2*u = -z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379 - 577 - 383 + 1339 - 128*q.\nAnswer: -128*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 47. Solve 5*t = 2*q - 0*q, 0 = 5*t - 3*q - x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -46. Suppose -o*s = -7*s + 820. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + 4 - 5 + 3 - 1 + 3*x. Let o(q) be the first derivative of 13*q**3\/3 + 13*q**2\/2 + 5*q + 35. What is 2*o(a) - 9*z(a)?\nAnswer: -a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20.4 in 4, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4, 0.004 in ascending order.\nAnswer: -0.5, 0.004, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(3\/4)*t\/(t\/(t\/t**2)))\/(((t\/((t*t*t**(-2\/11))\/t))\/t)\/t**4) assuming t is positive.\nAnswer: t**(179\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-4)\/(-312)*(-280)\/(-70)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132 or -130?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/1379 and 43\/70.\nAnswer: 13790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*r - 17*r + 47*r)*(5*r**2 + r**2 - 4*r**2 + (-2*r + 3*r + r)*(-2 + r + 2) - r**2 - r**2 + 3*r**2 - 6*r**2 + 6*r - 6*r).\nAnswer: -147*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 4*b - 2. Let i be w(-3). Let h be -2 + (i - 2) + 7. Let t = h + 2. Solve -x - t = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {b: 2, s: 4, y: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4192195 or -4192198?\nAnswer: -4192198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12324331 >= 283459620\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38784 and 568832.\nAnswer: 1706496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:48 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004782 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - i + 108 = 34, -3*d + 2*i + 97 = 0. Let m(v) = -2 - 9 - v**2 - 18*v + 2 - 1. Calculate the remainder when m(-7) is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.25 - 0.05. Let n = -0.5 + y. What is the third smallest value in -5, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 7. Calculate j(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9478 - -0.0522. What is the third smallest value in -2, -11, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000215 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (0 + 2*sqrt(2736) + sqrt(2736)))*-4)**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521950 to the nearest 10000.\nAnswer: -1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -695*i**2. Let l(q) = q**2. Calculate l(d(o)).\nAnswer: 483025*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2244*k - 1502. What are the prime factors of g(-7)?\nAnswer: 2, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1552322*c**4\/11 - 62795037*c**3\/11 + 586111681*c**2\/11 + 90179040*c + 31046400 = 0. Calculate c.\nAnswer: -1, -1\/2, 18480\/881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89.7 + 4968416.\nAnswer: 4968505.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**4\/96 - v**3\/24 - v**2\/16 - 11*v. Factor f(y).\nAnswer: -(y + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 62*j**2 + 408*j - 407. Calculate b(1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-5) - (-5)\/(-10)*-1)*-30.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1666.3225 to the nearest 10.\nAnswer: -1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1) - (-2)\/(-2). Suppose -2*x - 3*h + 237 = 0, x + 8*h - 108 = c*h. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and 7.825?\nAnswer: 242.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27b0 (base 14) in base 3?\nAnswer: -100121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.15 (c) -1\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(1*sqrt(204) - sqrt(204)) - sqrt(204)) + -4*sqrt(204)*2)\/(sqrt(432)*-1*-1))**2 + 0.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 3 + 3. Let a be ((-1)\/(-1))\/(2\/28). Let l(u) = -a + 14 - 2*u. Determine b(l(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i. Let a(p) = 5*p + 2. Calculate j(a(q)).\nAnswer: 35*q + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c - 3*o - 25, 0 = -c + 2*o + 8. Let s = 213 - 212. Put 7, s, c in descending order.\nAnswer: 7, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 28518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/14550808 and 13\/105632?\nAnswer: 58203232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37485429 a multiple of 1563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 20988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let c be y(0). Let z = -26 + 30. Suppose -2*b = 2*b - 2*l, 0 = z*b + 4*l. Solve c = -b*f - f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 36*r**3 + 476*r**2 + 536*r + 96 = 0?\nAnswer: -12, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/11)*w*w\/w**(-1\/7)*(w**(1\/11))**28 assuming w is positive.\nAnswer: w**(375\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -205, 84, -45 in decreasing order.\nAnswer: 84, -45, -58, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156785751 and 82224.\nAnswer: 5139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16275438 - 16275438 - 2*i + 318*i**2 + 2*i.\nAnswer: 318*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22\/3)\/(2\/(-3)). Let l = 80 - 5. Let t = p + l. Calculate the highest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158295, 158284, 158273?\nAnswer: 158262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -17 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1900)\/(-266) + 0 + (-54)\/6 - -2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 37705 - 3672. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*h - 43*h - a + 143, 0 = -3*h + 2*a - 3*a - 39 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 593 + -600. Which is the nearest to -0.01? (a) -0.3 (b) v (c) -3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -1)\/(1 + -2). Suppose 15 = -6*a - 3. Let b be (2 - 2\/(-2))*(-4)\/a. Solve -b*u = -h + 21 + 4, 3*u = d*h - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 2 = -3*v + 2*b, 3*v - 3*b = 12. Let j be 83 + 1 - 16\/4. Suppose v*t = t + j. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46780, -3, -2 in increasing order.\nAnswer: -46780, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Let n be (2 + 1)\/((-9)\/(-15)). Let t = n + m. Calculate the remainder when 26 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -2\/27, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - h + 6*h - 331, -f + 170 = 4*h. Suppose 2*a - 180 = f. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - -55) + (40 - (3 - 1 - 1))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2. Let a(p) = -2438414*p. What is a(s(w))?\nAnswer: 9753656*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3\/6 + 11*v**2\/2 + 3*v. Let i be p(-11). Let k = 4 - i. Let b(y) = -y**2 + 6*y - 3. What is b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/4 of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - -53?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11968 - -179444\/15. Let u be -10473*3\/((-324)\/8). Let m = u - 779. Calculate the common denominator of m and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 minus 137?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 497*y**2 + 21*y - 45. What is the hundreds digit of l(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -5, 36, 4, 2 in ascending order.\nAnswer: -46, -5, 2, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(150) + sqrt(150))*-5)\/((sqrt(22) + 1*sqrt(352))\/sqrt(11)*2).\nAnswer: 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 166 (c) 2320\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/8 - 39*t**3\/8 + 75*t**2\/4 - 21*t.\nAnswer: 3*t*(t - 7)*(t - 4)*(t - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*151\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66179 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 13*b + 21 to the form s*b + o and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 735885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 + -0.23. Let c = k + 0.015. Let r = -0.12 - c. Round r to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625144.\nAnswer: 2, 13, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340219795 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: Let o(g) = g**2 - 1. Let y(f) = 8*f**2. Let z = -220 + 172. Let w be ((-2)\/4)\/(4\/(z\/6)). What is w*y(u) - o(u)?\nAnswer: 7*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*u**2 - 14*u**2 + 160*u**2 - u**2 + 3*u**2 + 0*u**2 + (3 - 3 - 2*u)*(3*u - 2*u - 3*u) + 1 + 2*u**2 - 1)*(0*u + 2*u + u)*(-5 + 0 + 3).\nAnswer: -1200*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - ((-1 - 59) + 0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738969 is divided by 1188?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83a + 33ac?\nAnswer: 2972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-16)*1*-12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106369?\nAnswer: 17, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1645 = 2*c + 533. Is c\/16 + (-2)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 + 7*n**2 - 8 - 4*n - 7*n + 0. List the prime factors of i(6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 820, 1582, 2342, 3100, 3856, 4610?\nAnswer: 5362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**2 + 58866*y. Let g(o) = 3*o**2. Determine i(g(p)).\nAnswer: -63*p**4 + 176598*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1929 - 5785\/3. Which is the closest to h? (a) 1\/4 (b) 1\/5 (c) -4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/845)\/(81\/(-25272)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6687956\/13 smaller than 514457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9532, -19045, -28556, -38065, -47572?\n\"Answer: c**2 - 9516*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j**3 + j**2 + 2*j - 12. Give u(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/10 - (-1)\/(-5). Let c be (207584\/20)\/d + -1. Let z = 2602 - c. Calculate the common denominator of 40\/3 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-12)*4\/(-128)*-30?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*x + 76, 282*b - 279*b = x - 18. Solve 12*l - 6 = x*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-10) + (-6)\/60. Which is smaller: f or 13\/73?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86\/102 - (-9 + (-58)\/(-6))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/4 + 7*b**3\/3 - 4*b**2 + 151. Determine m(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/((-8592)\/(-1080) + -8)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1566)\/(-10) - 6\/10. Let t = -26\/57 - 65\/38. Calculate the common denominator of (v\/(-40))\/((-8)\/10) and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -54*o**5 + o**4 - o**3 + 2*o**2 - o. Let h(p) = -p**4 + p**3 + p**2. Let t(l) = -6*h(l) - 6*u(l). Find the third derivative of t(j) wrt j.\nAnswer: 19440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 25305*z - 378450.\nAnswer: -5*(z - 5046)*(z - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**2\/5 + 4186*p\/5 - 12576\/5 = 0.\nAnswer: -2096, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**4\/3 + 48*q**3 - 2592*q**2 + 132*q + 43. Let a(d) be the first derivative of s(d). Factor a(f).\nAnswer: -4*(f - 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.13 (b) -127 (c) -2\/19 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2\/29, 28, -0.06, -4, -2\/7?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 724394.2 micrometers?\nAnswer: 0.0007243942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t**2 - t + 56. Let k(v) = -20*v**2 - 5*v + 110. Let f(p) = 2*k(p) - 5*w(p). Factor f(n).\nAnswer: 5*(n - 4)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 16 = -4*z. Suppose -1 = g + 4*x + 4, -x = 3*g - 7. Find the second derivative of -g*b**4 + b + b**z + b wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - a + 61 = 0, -240*a + 239*a = 4*i - 81. Solve -20*d - i = -15*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 912?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1285 divide 41285765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-60)\/(-45) + (-2)\/(-3) + 5516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2 - -3) + 1)\/(2\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -60*u - 22*u**3 + 47*u**2 + 5*u**3 + 7*u**2 + 24 + 3*u**4 - 4*u**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08 - -6.08. Let o = s + -4.56. What is o rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, -5, -2 in descending order.\nAnswer: 1, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3287 - -3296.8. What is the closest to 2 in r, -2\/17, -0.5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 51487742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 9462\/133 - (-4)\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**4 - 10*c**3 - 33832*c**2 + 4901*c + 5738 wrt c.\nAnswer: -36*c**2 - 60*c - 67664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -2*u**5\/5 + u**3 - 2. Find the third derivative of o(k) wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -713?\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 136*y + 2142. Let u(w) = -w**2. Determine r(u(b)).\nAnswer: -136*b**2 + 2142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 561696?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:04 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000476548 rounded to 6 dps?\nAnswer: 0.000477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19474442551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193 + 211 + 2917*h - 406.\nAnswer: 2917*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -144, -138, -132, -126, -120?\n\"Answer: 6*c - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(175) + -5 + sqrt(7) + sqrt(7)*3 + -5))**2.\nAnswer: -6480*sqrt(7) + 24012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/277426 and 17\/537248.\nAnswer: 457198048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -4. Calculate the remainder when 16 is divided by r\/(4\/(3 + 21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.22604 - 3219.\nAnswer: -3210.77396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2 - 96*h - 99 = 0.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2140 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5766427, -5766461, -5766495, -5766529, -5766563?\n\"Answer: -34*t - 5766393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 55. Solve m*o - 3*k = 12, 6*o - 4*k - 15 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) - (-2 + sqrt(75) + sqrt(75)))*2)**2.\nAnswer: -144*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 a when three letters picked without replacement from {a: 3, b: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8) - (-10 - 26\/8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*g = -369 - 351 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 268722912 a multiple of 882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 26991, -2, 1 in descending order.\nAnswer: 26991, 6, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1252.3874 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 86*k. Let h(c) = c. Give z(h(j)).\nAnswer: 86*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -r + 5*r - 2*r - 10, -5*u + 83 = 26*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 162084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 190202082 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 576.3 > -6\/641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 + -31 - (0 + 5)) + (7 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*w**2 + 6 + 8*w**2 - 11*w**2 in the form g*w**2 + u*w + y and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 89.6 (b) -1\/139 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39165524*a**3*s + 638*a**3 + 20363*a**2 with respect to s.\nAnswer: -39165524*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/11, -26398943 in descending order.\nAnswer: -2\/11, -3, -26398943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12885\nAnswer: -1\/4295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 68.000054. Round i to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 9009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**4 - r**4 - 4*r**4)*(4 - 3 - 2) + (9 - 12 + 4)*(-3*r**3 - 3*r**3 + 4*r**3)*(-r + r - 3*r) to y + j*r**3 + x*r + l*r**2 + i*r**4 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102338, 102308, 102256, 102182?\nAnswer: 102086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 40 + (-5 + 9 + -8 - 9)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-6 + 5)) + -2 - -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, j: 6, u: 5, y: 5}. What is prob of sequence zy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 5. Let t(l) = -5*l + 85. Let r be t(17). Suppose -3*j - x = -4*j + 7, j - 5*x - 19 = r. Give q(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -7.5. Let q = x + -5. Let i = q + -2.4. Which is smaller: 1\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.02 - -0.02. Let b = 0 + w. What is the third biggest value in b, -1, -1\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 9. Suppose -7*y = -i*y + 3*u - 9, -5*y + 5*u = 15. Let j(s) = -11*s - 64. Let z(t) = 7*t + 43. Let d(l) = 5*j(l) + 8*z(l). Determine d(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-6)\/(3 - 5). Let a be 10\/18*-5 + b. What is the third smallest value in 2\/21, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-108))\/(3\/(-18)). Let f(i) = i**2 + 5*i - 6. Let q be f(-6). What is k in 0*k - 2\/9*k**5 + q + 0*k**2 - 2\/3*k**4 - b*k**3 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) - sqrt(35)\/(sqrt(7)*-2)) + 5 - ((4 + sqrt(20))**2 - -1*(3 + sqrt(5))).\nAnswer: -49*sqrt(5)\/3 - 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14 - -1)\/(-1 - (-5 + 3)). Let p = m + 25. Calculate the greatest common divisor of p and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -124\/3. Suppose -2710*x + 2675*x = 3290. Which is the second biggest value? (a) x (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzbk when four letters picked without replacement from {b: 1, k: 3, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -471 + 475. What is the nearest to -4 in y, -0.3, -13\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t + 12. Let i = -12.6 - -19.6. What is the closest to -1 in 0.5, i, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = d + 5*b, 0 = 3*d + b + 4*b - 198. What is the remainder when 240 is divided by d?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 6*n - 7. Let g(z) = z - 1. Suppose 0 = 2389*c - 2332*c - 57. Give c*m(s) - 3*g(s).\nAnswer: -2*s**2 + 3*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3*q**2 + 13*g**3*q + 1423*g**3 - 111*q**2 - 4 wrt q.\nAnswer: 2*g**3*q + 13*g**3 - 222*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c - 1. Suppose -4*i = -2*p + 10, 4*p + 5 = 4*i + 21. Let j be p\/(-3) - (-1 + -1). What are the prime factors of l(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -1) + 0 + -1. Let s(f) = 3*f**2 + 3*f + 2. Let v be s(i). Suppose -4*r + v = r. Solve -2*h + 6 = -3*h + 4*z, -4 = 4*h + r*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5105383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6840 is divided by 311?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + 42 - 53 - -53) + -81 + 4.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**17\/(x**(-2\/23)*x) assuming x is positive.\nAnswer: x**(370\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, i: 2, u: 3, a: 1, q: 4}. What is prob of sequence qiji?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlrr when four letters picked without replacement from {l: 1, r: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-58704)\/102)\/(-4) - (-4)\/34. Calculate the greatest common factor of j and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9123, 220 in increasing order.\nAnswer: -3, 220, 9123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 691, 684, 675, 664, 651, 636, 619?\n\"Answer: -y**2 - 4*y + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 46268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 7:12 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.5 (b) 0 (c) -1.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435730 to the power of 1\/2, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/10 - a**4\/24 + 13*a**2\/2 + 4*a. Let b(n) be the first derivative of u(n). What is the second derivative of b(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 27 + -21 - -34\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than or equal to -107\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) -3 (c) 1.32 (d) 54 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 96, 504, 1388, 2928, 5304?\nAnswer: 8696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435451, -431807, -428173, -424555, -420959, -417391?\nAnswer: -413857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5 + 2 + 0 - 1 + (-2 + 4 + 0)*(1 - 5 + 3) - 1 + 1 - 2 - 2 + 3 - 3)*(4*f - 4*f + 4*f).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95.8 - 109.14. Let m = 0.34 + l. Let y = 12.99999999 + m. Round y to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1404?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 3*l - 16. Let b be p(-8). What are the prime factors of (-12)\/b + (-10)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 1. Let d(n) = -5*n + 6. Let f(v) = -6*c(v) - d(v). Let t(k) = -220*k. What is -77*f(h) - 6*t(h)?\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppe when three letters picked without replacement from {e: 5, p: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8111 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (2 - 4) - -9393. Suppose o = -y + 10*y. What are the prime factors of y\/10 + 39\/15 + -3?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a**3 - 2*a**2 + 19. List the prime factors of q(-3).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698785161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89542057 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v - 1. Put -5, 3, v in decreasing order.\nAnswer: 3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 190784 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - 0) + (-242)\/((-38962)\/10143).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from hihck?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51489441 to the nearest integer?\nAnswer: 7176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477573669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, -7.6, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 13. Let m be c(10). Let b(s) = m + 4 + 7*s - 6. What is the remainder when b(4) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a = 131*a + 2201 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-3*-4*-6)\/(-5*(sqrt(8) + (4*sqrt(40))\/sqrt(5))).\nAnswer: 72*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.9 and 85?\nAnswer: -331.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-24 - (-40 + 34)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 546886180, 546886193, 546886218, 546886261, 546886328, 546886425?\nAnswer: 546886558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, e: 5, d: 3, y: 2, t: 1, p: 3}. Give prob of picking 1 p, 1 m, and 2 d.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2496) + (sqrt(2496) + 1*sqrt(2496))*-1)\/(sqrt(24)\/sqrt(128) - -6*sqrt(12)\/sqrt(4)))**2.\nAnswer: 128*sqrt(13)\/25 + 15812\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3230\/(-68)*32\/(-100)*14\/((-14)\/5).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2016 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115.83 + -117. Let v = -107.23 - -108.2. Let k = d + v. Round k to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2173.4324 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -819 = 16*r - 23*r. What is the derivative of 45*s**3 + r + 10 - 15 wrt s?\nAnswer: 135*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026533 is divided by 30230.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1108, 1820, 2118, 1984, 1400, 348?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {o: 1, e: 1, h: 7}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14016945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/17 + 5\/34. Let -o**3 + 3\/4*o**5 - 1\/2*o**4 + 0 + g*o**2 + 1\/4*o = 0. What is o?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*o = -234 - 1512 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12299*b = 12273*b + 3241394. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 3\/4 (c) 2\/3 (d) -31245 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 0, 29, -8\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5067, 10141, 15213, 20283?\nAnswer: 25351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*z - 104831*z**4 + 90588*z**4 - 8*z + (0*z + 0*z + z)*(-z**3 + 0 + 0) - 5*z**4 + 4*z**4 + 0*z**4.\nAnswer: -14245*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7998 at most as big as -7991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/7)*v**(1\/5)*(v*v*v*v*v**(-1\/4)*v)**(-39)*((v**(2\/9)\/v)\/(v**(-6\/5)*v*v))\/(((v*(v\/v**(-3))\/v)\/v)\/v*v**0) assuming v is positive.\nAnswer: v**(-237851\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**7\/210 - f**6\/50 + f**5\/100 + f**4\/20 - 12*f. Suppose v(a) = 0. Calculate a.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 101*h**3 + 36*h**2 - h + 799. Let c(k) = -304*k**3 - 114*k**2 + 3*k - 2397. Let y(g) = 6*c(g) + 19*i(g). What is the first derivative of y(f) wrt f?\nAnswer: 285*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-27)*3\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7570961 to the nearest integer?\nAnswer: 2752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -311\/3 (b) 18 (c) 4 (d) 9\/4 (e) -2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 48*k**3 + 58*k**2 + 732*k - 1584.\nAnswer: 2*(k - 22)*(k - 3)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 + 12*k + 17. Is t(-5) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15543 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1 = -11. Suppose 0 = u - 4*f - 708, -f - s*f = 6. Suppose 666 = 3*m + 2*w + 139, 4*w - u = -4*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2 - 120222590*n - 722673557315405 = 0. Calculate n.\nAnswer: -12022259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4721213 by 5.\nAnswer: -4721213\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11315 + 10847. Is t less than -466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 60 + -62 - ((-28)\/6 + 2). Determine c, given that 8\/3 + 0*c + 2\/3*c**5 - 14\/3*c**2 - f*c**3 + 2*c**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 4*o + 5*t = -8214 + 8213, -6 = -o + 4*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -2\/5*c**5 + 0*c**2 + 1\/2*c**4 - 1\/3*c**6 - 3 + 2\/3*c**3 + 0*c. Let s(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101111110100111101 (base 2) to base 8.\nAnswer: 11576475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4772 is divided by 661?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1422 divide 35117384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 23*z - 4. Let y be x(-12). Let h be y\/(-960) - (-2)\/15. Solve 2*o - 3*o - 3 = h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-2772)*-11)\/(20\/20)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 957\/8, -15?\nAnswer: 957\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -0.5 (b) -0.16 (c) 1 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 47372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 594*r - 42434. Determine o(69).\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 779076 (base 10) to base 9\nAnswer: 1416620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*(0 + sqrt(125) + sqrt(125))*4 + 1*(((0 + sqrt(125))*-1 - sqrt(125)) + sqrt(125) - (3 + -1*sqrt(125))))**2.\nAnswer: 560*sqrt(5) + 8049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**2 + 6681*m - 134020 = 0.\nAnswer: -6701, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-245)\/(-28)*(-6)\/196 and ((-442)\/39 - -12)*(675\/12 + -3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 18*d**2 - 95*d + 1004. Determine g(19).\nAnswer: -1162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b**3 + 0*b**3 + 0*b**3)*(2 + 0 - 4)*(-b + 2*b - 7*b) - 2*b**4 + b**4 + 0*b**4 + (b - 2*b + 2*b)*(2*b**3 - b**3 + b**3))*(4*b + 0 - 6*b - 1).\nAnswer: 70*b**5 + 35*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j**(-1)*j)\/j)\/j*j*j*j)\/(j*j**11))\/((j**(-2)\/j)\/(((j*j**8)\/j*j)\/j*j)) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**4\/s**(3\/2)*s**(2\/3)*s*s*s\/(((s\/s**(-6))\/s*s)\/s)*s assuming s is positive.\nAnswer: s**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 11*a - 12. Let i be l(5). Let d be i\/(-48) - 89\/(-24). Let q = -3.042 - -0.042. What is the second smallest value in q, d, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4640 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 46. Solve -h = 4*m - 8*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000715455161 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*6 - (-5)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 1 = 4*k + 3 - 16, 0 = 3*k + 2*k - 3*o - 54 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0*x*x\/x**(-11))**34)**2 assuming x is positive.\nAnswer: x**952","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, u: 1, d: 3, y: 1, z: 2, s: 3}. Give prob of sequence vzs.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 5*j**2 - 6*j + 3. Let g be k(6). Suppose -216 = -2*w - g*q, -q - 200 = -2*w - 0*q. Calculate the remainder when w is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*l + 11. Suppose -l - 16 = -5*b. Suppose 99 = b*s - s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 14. Let s(w) = -w**3 + 5*w**2 - 2*w - 7. Let y be s(g). Solve -5*u = -0*u + y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13001 (base 4) to base 5\nAnswer: 3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2. Let k(l) = 7 - 3*l**2 + 5*l**2 - 7. What is z(k(s))?\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let s(y) = 1229*y - 7377. Let u be s(6). Sort u, -4, 6, q in increasing order.\nAnswer: -4, u, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/102465 and -43\/117080235?\nAnswer: 1287882585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*u + 2276 = -60 - 2038. Let l(a) = -6*a + 102. Determine l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472052\/11 at least as big as 406550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + y**2 + 126*y**3 - 495*y**3.\nAnswer: -369*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.029287 (b) 18 (c) 0.5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 111000011001?\nAnswer: -111000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6095 times -7.8\nAnswer: -47541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:50 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5174 + -1686. Suppose -12*y + s = 896. 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: What is the value of -8 + -8 + (7 - -3) - 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:10 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5105336815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 150*d**2 - 165*d - 2378. Determine g(-149).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*275.\nAnswer: 6050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z**5 - 3*z**3 - 181*z wrt z.\nAnswer: 160*z**3 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714206 to the power of 1\/2, to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**3 - w**2 - 2*w. Let f be i(-2). Find the second derivative of -25*o + 0 + 0 + f*o + 10*o**3 wrt o.\nAnswer: 60*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15020 - 0?\nAnswer: -15020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034092051 rounded to four dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -387135*w - 1161184. Give y(-3).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4823\/159*24*11\/77\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 23*r - 132 = 0. What is r?\nAnswer: -12, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-11)\/t**(-1\/33))**(2\/5))**(4\/3) assuming t is positive.\nAnswer: t**(-2896\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1943, -1951, -1961, -1973, -1987?\n\"Answer: -i**2 - 5*i - 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1414871*t**3 + 1800463*t**2 wrt t?\nAnswer: -8489226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 4:09 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50372840*f**2 - 154330560 wrt f.\nAnswer: -100745680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 9*r + 16. Let i be z(7). Let l(b) = -20*b**2 + 5 + 11*b**i + 7*b**2 + 34*b. What are the prime factors of l(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 9:37 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 3. Suppose 0 = 4*b - 15 - 13. Suppose 5*h + 2*s = b, 5*h - 3 = 3*s - 6*s. Solve -h*j = -o*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnnwwwwnwwwwnwnwww. What is prob of picking 2 n and 2 w?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + s = 951, 33*s - 35*s + 10 = 0. Does 88 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h - 4*h + 3*h**2 + 18*h + h - 5 - 6*h. Let z = 0 + 5. Let w(r) = -4*r**2 - 7*r + 7. Let x(g) = z*w(g) + 7*c(g). Let i(b) = 63*b. Give x(i(a)).\nAnswer: 3969*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-760)\/24 - -29)\/(6\/(-18))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)*f)**32\/((f**8*f)\/(f*f**(1\/6))) assuming f is positive.\nAnswer: f**(97\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-16)*(-8)\/(-3). Let w = i - 4. Suppose 3*v + 1 = 10. What is the remainder when w is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 2\/1969, 5.6?\nAnswer: 2\/1969","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 288*k**2. Let c(i) = -2*i + 60. Determine s(c(v)).\nAnswer: 1152*v**2 - 69120*v + 1036800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(539))**2 + ((4*sqrt(132) + sqrt(132) - sqrt(132))*-1)\/sqrt(12).\nAnswer: -3234 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249610 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 x, and 1 z when four letters picked without replacement from {z: 2, x: 2, j: 9, r: 3}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -905, -1211, -1517, -1823?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19714 + 17703 = -389*k + 3185 for k.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 12 - 11)*(-7*w + 6*w + 8*w).\nAnswer: -14*w**2 + 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217466986 is divided by 2089.\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let l be a(-4). Suppose 1 = 2*t - 3, -l*n - 5*t = -62. What is the greatest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -5*t. Suppose l + 17 = -5*r - 10, t*l = 4*r + 12. Let p = 14 + l. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1149, -9282, -31359, -74352, -145233, -250974?\nAnswer: -398547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-21) + (-2340)\/4725)*-15. Solve o*j + 58 = 94 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -816, -1\/5, 0.1 in ascending order.\nAnswer: -816, -1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4662850 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68.388*3284.\nAnswer: -224586.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6444*l**3 - 13062*l**3 + 6277*l**3.\nAnswer: -341*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*3)\/(sqrt(44)\/(sqrt(8)\/sqrt(2))) + (1*(sqrt(147) + (sqrt(147)*-1 - sqrt(147))) - sqrt(147))**2 + sqrt(147) + 0 + sqrt(147) + -5 + 1.\nAnswer: 20*sqrt(3) + 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 49)*(5 + 0 - 4)*(-v - v + 0*v) as u*v + j and give u.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 65*v**3 - 21 - 16*v**3 - 17.\nAnswer: 49*v**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - o + 2. Let b be f(2). What is the nearest to b in 0.2, -3, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57390 rounded to the nearest 1000?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**9)\/((h**(-1\/31)*h)\/h) assuming h is positive.\nAnswer: h**(311\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 62 = -92. Calculate the lowest common multiple of n and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Suppose -5*n = -j*n - 290. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 9:20 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3600704 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 16. Let n(u) = 2*u - 21. Let c(i) = -4*f(i) + 3*n(i). Let h(a) = a. What is 2*c(z) + 14*h(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -32. Suppose 3*r - g = -0*r. What is the second derivative of -8*x**2 + x + 3*x**r + x + 8*x**2 wrt x?\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, -1\/8, -1101 in decreasing order.\nAnswer: -1\/8, -0.3, -5, -1101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/45 - (-206)\/30. Suppose -8*r = -y*r. Suppose r = i + 1 - 8. Solve -l - 4 = 0, -n = -2*n + 2*l + i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -4, 0, -2, 12 in decreasing order.\nAnswer: 12, 0, -2, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5188466.4 to the nearest ten thousand.\nAnswer: 5190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 64105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -6. Suppose 4*p = -j + 148. Calculate the highest common divisor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l - 12 = -33*l. Let n be (-17 - -16)\/((-1)\/l). Let q be (n\/(1 - 4))\/(-1 - 0). Solve 2*a - q*y + 3 + 3 = 0, -2*a + 4 = y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295822483 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595610 and 2060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Let a(b) = 32839249*b**2. Calculate w(a(x)).\nAnswer: 65678498*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/5 + 624*c**2\/5 - 3182*c\/5 - 3804\/5 = 0. What is c?\nAnswer: -317, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/2, -1, -23.\nAnswer: -23, -4, -3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 27. Let o(r) = 2*r**2 + 3*r - 90. What is the remainder when h is divided by o(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*c = 7, 2322302*w - 3 = 2322301*w + c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-6 + -5 + 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8230336280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -379688 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134 + 7. Let l = j + -81. Let o = l + -64. What is the smallest value in o, -2\/5, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 3*n - 2. Is 4 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-45))\/((8\/(-22))\/((-2754)\/297)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.171323 grams?\nAnswer: 0.000002171323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3832091\/60 - 63866. Calculate the common denominator of 44\/355 and w.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10627980 + 10627980 - 107*x**2.\nAnswer: -107*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*f - 4*f**2 + 3*f**2 + 80*f + 73*f - 217*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16387, -65435, -147163, -261571?\nAnswer: -408659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15*g - 13. Let v(k) = -8*k - 92. Let u(y) = 3*y + 31. Let z(r) = -3*u(r) - v(r). Determine -2*i(f) + 22*z(f).\nAnswer: 8*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**3 + 128 + 24*k**2 + 3*k**3 - 101*k + 3*k**3. Let x(v) = -40*v**3 - 8*v + 7*v + 77*v**3 - 36*v**3. Let w(r) = -n(r) + 5*x(r). Factor w(s).\nAnswer: 2*(s - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b + 1 = 34 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**3\/2 - 1686*l**2 + 6735*l\/2 - 1683 = 0.\nAnswer: 1, 1122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from zzzzmzmzzzz?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2241922 seconds in microseconds?\nAnswer: 224192.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 4*q + 377. Let d be 0 + 0 + -2 + (-22 - 5). Let i = d - q. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3144 + 4746. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0*q**3 - 1\/48*q**4 + 0*q - 2*q**2 - 1\/60*q**5 - 1\/240*q**6 + 0. Determine m so that c(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 81*w + 57. Let l(p) = 82*p + 55. Let v(h) = -4*l(h) + 3*s(h). Is v(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2 - 4 = -t, 0 = 2*t - 2*k - 4. Solve p = -t*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (7 - (-12 + 4 - -4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) -0.04 (c) -6 (d) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1658506*l**2 + 121*l + 6422?\nAnswer: 3317012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -0. Suppose -5 - 3 = -l*s. Suppose -3*n + 3*a + 63 = 2*n, -3*n = -s*a - 38. Calculate the greatest common factor of 60 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let n(i) = -16*i - 5. Let h(f) = -24*f - 8. Let u(b) = -5*h(b) + 8*n(b). Determine u(v(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/90 + (-14)\/(-2310)*14047?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/9)\/(50\/120)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216376 and 748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.148, 4, 1, 2, 386, 0.4325?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-20))\/((-16)\/260880). Suppose 5*o + v - p = 0, -11*o + 13049 = -6*o - 4*v. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149 - 253 - 212)*(7*c**5 + 10*c**5 + 0*c**5).\nAnswer: -5372*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.028 + 1.128. Let f = z + -1.14. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/(-4))\/(-187*10\/(-1530))\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -317.\nAnswer: -5389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 16 - 37 - 4\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 15*d - 5. Let b be v(-5). Let u = -27 - b. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3597 - 9002. Let u = p - -151273\/12. Calculate the common denominator of u and 40\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.996 * -1080\nAnswer: -5395.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hijihihhhiiijhj. Give prob of picking 2 h and 1 i.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((214\/(-12))\/(40\/2730))\/(-30). Let s = v - 572\/15. Find the common denominator of s and 25\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 17*c**2 + 3*c + 23. Determine m(-17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4898*z - 4. Suppose 15 + 3 = -9*i. Let r be v(i). Round r to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w = 22*w + 24. What is the highest common divisor of w and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526724229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(6\/24*-1). Let n be (-3)\/21*k\/(-8). Are -71 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 6*q**2 - 5*q**2 - 7*q**2 + 20*q**2 + 8*q**3 in the form d*q**3 + y*q + u + s*q**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58 - 9*g**2 + 58)*(1 + 2 + 0)*(-3 + 5 + 0) in the form o*g**2 + f*g + n and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/2))**17)**(-4)\/((z\/(z*z*z**(-5)*z))\/z**1)**35 assuming z is positive.\nAnswer: z**(-172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8325091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 - 361. Let q = p - -213.999999969. What is q rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 235640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52 + 2\/4*-4 + -2. Calculate the greatest common factor of 264 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1080 (base 11) to base 16.\nAnswer: 58b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1571 + 1566 + -1 + (-2 - (1 + 0) - 11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -19. Let y = 8 - -4. Let w(o) = o**3 - 59*o**2 + 171*o - 169. Let g be w(56). Which is the second smallest value? (a) y (b) q (c) -0.4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22030 + 233?\nAnswer: -21131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/13)\/z)\/z)\/z**(-2\/15) assuming z is positive.\nAnswer: z**(-334\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 19*q + 20. Let y be o(-20). Let k be (-1 - y)*(-78 - 1). What is the units digit of 12\/6 + k + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + 0 + 0 + sqrt(11)))**2.\nAnswer: 360*sqrt(11) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2072\/210 + -10)\/((-4)\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 1}. Give prob of picking 2 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 329382*i + 7905552.\nAnswer: -2*(i - 494097)*(i + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**3 - 26*z**2 + 9*z + 67. Let u be t(-4). Which is the fourth smallest value? (a) 6 (b) 0.7 (c) 0.16 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*q + 18, 2*q + 3 = s - 3. Let z be s*(45\/(-51) - -1). Is -1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + b**3 - b**4 - 37*b**3 + 18*b**3 - 3*b**3 as f + c*b**4 + j*b + w*b**2 + p*b**3 and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -113*a**6\/8 - 2242*a**5\/15 - 847*a**2. What is the third derivative of f(n) wrt n?\nAnswer: -10170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmlmll. Give prob of sequence lmll.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) - sqrt(208))*2 - (-4*6*sqrt(325))**2.\nAnswer: -187200 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1575087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*r - 24, 0 = 2*z + r - 3*r + 2. Suppose -j + z = -3*j. Let m = 18 - j. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 355 - 7*k**3 + 5*k**3 - 38 + 6 in the form w*k**3 + b*k + f + x*k**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1932212 and 1932209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 194551\/813552 + -1\/5982. What is the common denominator of z and -113\/442?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from hghggghggghggggghgg?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iddttdhirtd. What is prob of picking 3 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 477.13 + -54.13. What is the closest to -2\/5 in 2\/5, -2, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -288 + 3746\/13. Let r = 6 - 11. What is the fourth smallest value in -2\/11, 2, k, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 30.8. Let c = u - -16. Let h = 446 - 443. Put c, 2\/7, 0.4, h in descending order.\nAnswer: h, 0.4, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -571, -1248, -2185, -3376, -4815, -6496, -8413?\nAnswer: -10560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166745 (base 9) to base 5.\nAnswer: -11302042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p - 108*p - 2*p**2 + 32*p + 36*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 3*f, f = 68*t - 65*t + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8975 - 0.60208. What is t rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1647*r**3 + 14*r - 25. Is o(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4658 a factor of 2638519442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 169, 217, 295, 403, 541?\n\"Answer: 15*f**2 + 3*f + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 134167\/542 or 0.08?\nAnswer: 134167\/542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -40869?\nAnswer: 2\/40869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22422 take away -1.6?\nAnswer: 1.82422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 2 + 7 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Suppose -2*n + 4 = -d, 21 = 3*d + 2*n + r*n. Suppose -d*k - g = -22 + 4, -k + 18 = -4*g. Calculate the highest common factor of 90 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 327944905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 9*n = -14*n + 326, 3*n - 120 = -3*v. Calculate the lowest common multiple of v and 882.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-2 - (-4 - 0 - -1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18854*d = 18865*d - 121 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -443 + 446. Solve 5*i = -h + 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8065*m = 8015*m + 600 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15717115 - -88?\nAnswer: 15717214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*f**2 + 1 - 5*f - 2*f + 0 + 9*f as a*f + t + o*f**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1266304 and 352?\nAnswer: 13929344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333 (base 5) to base 3.\nAnswer: 22002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -37.022. Let s = l + -2.978. Is s smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, d: 7, t: 5, j: 1}. Give prob of picking 2 i, 1 d, and 1 t.\nAnswer: 175\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -10 + 0 + 4 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u + 21. Let m(p) = p + 2. Let b(v) = 6*m(v) - 2*r(v). Let y be b(-5). Solve -4*w + 0 - 20 = y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 85*h + 750. List the prime factors of j(-7).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3.48, -2\/3, 15, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21333609083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99484 in 3, 0.06, 1, 4\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41458, 82852, 124246, 165640, 207034?\n\"Answer: 41394*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3047758*x**3 + 253257*x**2 - 2 wrt x?\nAnswer: -18286548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1\/(n*n*n**25\/n*n)*n**(5\/9)*n**(-1\/11) assuming n is positive.\nAnswer: n**(-2528\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15871\/24 - -1946\/3. Find the common denominator of b and 2\/(-10) + (1007\/(-140) - -6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/5 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (5 + 6)) + (2 - 2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 157 = -192. Put -2, 2, -3, o in increasing order.\nAnswer: o, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16460 - -18357. What is the highest common factor of 542 and l?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 5*x + 40. What is the lowest common multiple of x and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 10. Let h(v) = 36*v + 1840. Let o be h(-51). Put -0.5, d, o, -1\/4 in descending order.\nAnswer: o, -1\/4, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + 2)*((-4)\/(-1) - 2). Let x be 1\/(-4) + 84\/p. Suppose x - 161 = -2*j. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + -5 - (0 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*l)*(-50*l**2 - 116*l**2 - 29*l**2) + (-2*l - 1 + 1)*((6*l**2 - 4*l**2 - l**2)*(-2 + 1 + 2) + l - l - 2*l**2).\nAnswer: 392*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 0*r**2 + 31*r - 62\/3*r**3 - 29. Differentiate s(b) wrt b.\nAnswer: -124*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bddeeeeeebeeeee. Give prob of picking 1 e, 1 b, and 1 d.\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*l**4 - 127482*l**3 - 4697078*l.\nAnswer: -468*l**2 - 764892*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**5\/60 + 563*c**2 - c + 2. Let h(b) = -6*b**2 - 988. Determine i(h(o)).\nAnswer: -36*o**4 - 11856*o**2 - 976144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r**2 - 16*r**2 - 15*r**2 + 67*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 46 + 17 = 351*p - 354*p, -5*o - 2*p + 145 = -7*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 9560016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -412?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (12 + (3 - 22) - (-12 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 3*h + 1. Let o be q(6). Let x = 24 - o. What is the remainder when 22 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000650211377 rounded to five dps?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l = 3*f - 117, 0 = f + 1. Suppose 12 = 6*m - l. Let r(x) = -x**3 + 7*x**2 - 4*x + 15. Is r(m) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43550, -43552, -43554, -43556?\nAnswer: -43558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Let z = n - -10. Let w(r) = -r**2 + 9*r + 5. What is the remainder when w(8) is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1851*m - 316*m = -23338 - 6556 + 3799 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-2*k**5 + 2*k**5 - k**5) - k**5 + 3*k**5 - 4*k**5 + 10*k**5 + 11 - 11 + k**5 + 3*k**5 - 5*k**5.\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20020110020210 (base 3) to base 7\nAnswer: 40116456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 17*p**2 - 19*p - 16. Let w be g(-18). Let m(b) be the second derivative of 1\/2*b**w + 4*b - 5\/6*b**3 + 0. Differentiate m(a) wrt a.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/8 and ((-13)\/(-12))\/((-2)\/4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.634 - -1.334. What is the third biggest value in -16, 0.3, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*z - 229*z + 45 = 0. Let l be 108 + (-5)\/((-25)\/z). Let t = l - 108. Solve 0 = -2*b + 5*b + t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8b4 + 3?\nAnswer: -8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-10 - -14 - -15) + -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddp. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*(-2)\/(-4))\/(-2). Suppose x = -0*r - r. Suppose r*n + 2*n = 6. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703.84843 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 4*h + 3, c - 4*h = 9 - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1917, -7595, -17057, -30303, -47333, -68147?\n\"Answer: -1892*l**2 - 2*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 12, -5\/3, 2\/193 in increasing order.\nAnswer: -5\/3, 2\/193, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2439, -4860, -7259, -9636, -11991, -14324, -16635?\nAnswer: -18924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9*d**2 - d - 6. Determine n(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230478?\nAnswer: 2, 3, 179471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -460? (a) 2\/9 (b) 85.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 3:33 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-485)\/(-11) + (-97650)\/2170.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5696?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.252 * -0.14\nAnswer: -0.03528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8085 - 59871 = -1233*t for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 17544*q**2 - 52631*q - 2. Give b(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 + -2.9. Suppose -5*q + 17 = 2, -3*q - 7 = -4*d. Let o be (7 + 246\/(-30))*(-10)\/d. What is the nearest to x in o, -1\/2, -3\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 748 + -478. Let p be (-6)\/10 + (o\/(-25))\/(-3). Solve 0 = -2*u - p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149173 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 57 + 9 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -27\/32, 5, -23?\nAnswer: -27\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10968024829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*r + 17665, 0*g - 17677 = -3*r - 4*g. What is the second derivative of 5934*c + 0 - r*c + 11*c**2 + 0 wrt c?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**3 - 2*p**2 + p + 6. Let h(d) = -6*d**3 + 2*d**2 - d - 7. Suppose 3*r + 0*r = -21. What is r*t(n) - 6*h(n)?\nAnswer: n**3 + 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(1 + (-3 - 1)). Suppose d = s + 3*s. Let x be (18\/20 - 13\/13)*4. What is the second smallest value in 1, x, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - n**2 - 45*n + 48. Let f be t(1). Let l(w) = -4*w**2 - 2*w + 6. Let z(h) = 3*h**2 + h - 5. Determine f*l(b) + 5*z(b).\nAnswer: -b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 186764494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 0.8. Let c = u + 0.20000044. What is c rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000548383 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.86 and 18.\nAnswer: 18.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 - (-10 + 22 + -20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 183 = -1107. Calculate the remainder when 208 is divided by w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296871)\/5304 + 56)*8.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.1 - 32.9. Let y = -30 - r. Let v = -5 + y. Put 9, v, 2 in descending order.\nAnswer: 9, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -3*(-3 + 2). Suppose 6*i = n*i + 8. Suppose -4 = -i*w - 0*w. Solve 3*j + w*j - 2*s = -18, 2*j + 4*s = -12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12021010012211 (base 3) to base 10\nAnswer: -2797330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10150270 is divided by 143.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, -62, -94, -126, -158, -190?\n\"Answer: -32*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 5 (c) -143.638 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1840\/(-30)*(-6)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4291 + 5635. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99586621 to the nearest ten thousand.\nAnswer: -99590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -91 (c) -1 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -287\/4 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -54, -599, 0.1, -0.01, 0 in ascending order.\nAnswer: -599, -54, -3, -0.01, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -o + 234. Let g be (-5)\/((-25)\/o) - (-1 - -2). Suppose -2*j + 134 = -g. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -228*m + 1819. Determine k(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 3, h: 3, b: 5, n: 3}. What is prob of picking 3 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1219 + 57 = 4*b + 5*j, 5*b - 1582 = -3*j. Suppose -1070 = -6*t - b. Suppose x - 8 = 34. What is the highest common factor of t and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 4 + 99*y)*(-2*y**4 + 5*y**4 - 2*y**4).\nAnswer: 99*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 21*v + 13286. Suppose -2*t + 2*j + 1008 = 0, v = 2*t - j + 6*j. List the prime factors of t.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 - 15*n. What are the prime factors of z(10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*x - 41*x - 5916. Calculate the remainder when 605 is divided by x.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -7. Suppose 2*x = 11 - n. Suppose -2 = -x*c + 78. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31769 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -267*l**2 + 5. Let d(g) = -133*g**2 + 3. Calculate 10*d(m) - 6*t(m).\nAnswer: 272*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*14011\nAnswer: 420.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 5*w**4\/42 + 17*w**3\/21 + 6*w**2\/7 - 10*w. Factor y(a).\nAnswer: 2*(a + 3)*(5*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4756317, 4756315, 4756313, 4756311, 4756309, 4756307?\n\"Answer: -2*n + 4756319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1982.1364 * -5\nAnswer: -9910.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 5*k**2 - 96*k + 615. Calculate l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**2 - 2 + v**2 + v**3 + 4*v**2 + 31*v**2 - 29*v**2 + 12*v to the form c*v + h*v**3 + y + w*v**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1560*v - 4*p - 109 = 1555*v, -4*p = -v + 121 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {r: 15, l: 4}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= -9.531626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 774 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0.2, -2, 0.1, -0.8, -79?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (9\/24)\/((-315)\/(-480))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -15 + (-8 - (-23 - -12 - 3))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**3 - 168*k**2 - 194*k + 1042. Determine o(43).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8157826, 8157825, 8157824, 8157823?\n\"Answer: -w + 8157827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -11, -5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17114166 divided by -6?\nAnswer: -2852361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 35*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -4c65e?\nAnswer: 4c63e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1572*o**2 + 392996*o + 1005. Determine a(250).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - 3*u + 3*u**2 - 4*u**2 - u + 2*u**2 to p*u + v*u**3 + i*u**2 + z and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 531559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -87306, -87304, -87302, -87300, -87298, -87296?\n\"Answer: 2*d - 87308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38774 or 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 40 = -3*v, -2*v + 30 = 8*x - 4*x. Suppose 0 = v*m + 3*q - 67, 0*q = 3*m + 4*q - 38. Solve h - 4*o = 6, -5*h = 2*o - 0*o + m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 11*s + 7*s + 20, -4*k + s = -12. What is the second derivative of -17*y + k*y**3 - 16*y**3 + 1 - 5*y**2 + 0 - 5 wrt y?\nAnswer: -72*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 1159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 34. Let h = 50.3 + o. Which is the third smallest value? (a) 4 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 204 = -71*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1060530, 2121449, 3182370, 4243293, 5304218, 6365145, 7426074?\n\"Answer: c**2 + 1060916*c - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 60. Suppose 3*v + j = 7*v. Suppose -4 = -6*p + v*p. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1059*t + 37*c = -1055*t - 32, 4*t + 2*t - t = -3*c - 157 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k**2 + 225. Let i be d(0). Let h = -97 + i. Suppose -h = 3*q - 7*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (381\/(-6) + -3)*-3*1120\/(-2352).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) - sqrt(77)*-2)*-4)\/(sqrt(56)\/(sqrt(32)\/sqrt(4))*-2) + -2.\nAnswer: -2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qss when three letters picked without replacement from sqqqsq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-343*y**4 - 971*y**3 + 971*y**3)*(0 + 0 - 2).\nAnswer: 686*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17991 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5502, -22015, -49536, -88065, -137602, -198147?\n\"Answer: -5504*u**2 - u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*a = 332, 0 = 4*h - a - 481 - 165. Suppose 153*y - h = 130*y. Solve -9*q + y*q + 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 9:30 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4150527 - w - 8300962 + 4150435.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10315 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291484987.\nAnswer: 317, 919511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2382 + 1749 = 89*h + 154*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - 2. Let z = 2 + -3. Let x = z - -0.6. What is the nearest to g in x, -2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/18 + 50\/12. Let v(p) = 6*p - 4. Is v(n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580028.\nAnswer: 2, 145007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -30709625 to the nearest ten thousand.\nAnswer: -30710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 146730 (base 9) in base 5?\nAnswer: 10342021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 913358645 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -208, 6, 1984, -5 in increasing order.\nAnswer: -208, -5, 6, 1984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkknkkkk?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u + 5. Let t(a) = -5*a - 4. Suppose 5*z + 0 = 30. What is z*d(o) + 7*t(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + 0*i**3 - 2 + 3*i**3)*(202*i + 1 - 130*i + 267*i).\nAnswer: -678*i**4 - 2*i**3 - 678*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1412532 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 633648 + -399198143\/630. Calculate the common denominator of p and 17\/8.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) 0.012 (b) 0 (c) 2\/11 (d) 89 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1526*d - 2714*d**2 - 4920 - 722*d - 805*d wrt d?\nAnswer: -5428*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -227, -222, -215, -206, -195?\n\"Answer: x**2 + 2*x - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -27. Suppose -21*b = -w*b. Suppose b*i + i = 0. Solve 2*x - 2*q = -12, -7*q + 3*q + 4 = i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 19*f**2 + f - 27. Give w(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195 divided by -12.\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82115 and 110.\nAnswer: 164230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*s = 8, 7*n + 2*s - 40 = 2*n. What is the smallest common multiple of n and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2. Suppose -2*m + 1 = -m. Let a = 2 + m. Let t(o) = -a + 3 - o. Determine t(k(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 17. Suppose v*n = -12*n. Solve -3*u = 3*x - 15, -4*x - 3*u + 24 - 8 = n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 0.01, -401 in descending order.\nAnswer: 6, 0.01, -1, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d + 1. Let i be q(1). Let a be (-1)\/(-3)*(5 + 1). Suppose g - a*g + 8 = i. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10343 (base 6) to base 8.\nAnswer: -2627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*s**3 - 5*s + 5247 wrt s.\nAnswer: -27*s**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 25349390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let v = 12.5 - 19.9. Let q = 5.4 + v. What is the smallest value in q, 2\/11, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 1. Let p(y) be the first derivative of 3*y**2\/2 - 17*y + 15. Let o be p(13). Let x(w) = 12*w - 12. What is o*n(i) - 2*x(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8449 + -17445\/2. Let n = m - -274. Which is the closest to n? (a) 2\/27 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 1534 = -6*p. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(g*g*g**(-7)))*g**(-3\/8)\/g)**(1\/30))**(23\/5) assuming g is positive.\nAnswer: g**(-1357\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - (3 + 6 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20736 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -1. Let g = -4 + 12. Suppose -5*y - g = 3*w, 5*y + 16 = -0*w - w. Sort t, 0.5, y.\nAnswer: y, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 8, -20, -90, -220, -428, -732?\n\"Answer: -3*i**3 + 6*i**2 - i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119)*-2 + sqrt(119)))\/(sqrt(49)\/(sqrt(7)*-2 + sqrt(7))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279833.\nAnswer: 233, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369 + -368.788. Let h = 0.434 - i. What is h rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3831 + 6138. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g - 3303*g**2 - 7*g + 355*g**2 + g.\nAnswer: -2948*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*x**2\/2 + 3021483*x\/2 - 1510733.\nAnswer: -(x - 1)*(17*x - 3021466)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 6 - 138. Find the common denominator of 23\/n + (-12)\/72*4 and -31\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2\/7 + 3699588*t\/7 - 1710868921218\/7 = 0.\nAnswer: 924897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.71 + 34.71. Suppose 1 = -5*z + 6. What is the nearest to u in 0.5, -2\/9, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -194*b**2 - 15*b - 19. Let u(l) = -l**3 - 7*l**2 - l + 5. Let f be u(-5). Let y = -27 - f. Let o be w(y). Round o to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/11 + 195732*q**2\/11 - 4744930368*q\/11 - 2155350603712\/11 = 0.\nAnswer: -446, 49156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*m**2 + 82*b*m + 8*b + 2*m**2 + 9*m + 240 wrt m.\nAnswer: 4*b*m + 82*b + 4*m + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3046 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(2\/(-5) - 8\/30). Suppose 14 = 4*a - l. Suppose 2*s - 70 = v, -2*s + 53 = -a*v - 23. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 10:10 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 33*j - 3*g = -581, -j + g - 291 = 0. Let x = j + 298. Solve -a = -8 + x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/30 + 46*x**2. Let b(q) = -36*q**2. What is n(b(k))?\nAnswer: 2592*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1494585 and 1992780.\nAnswer: 5978340","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4.8 (b) 0.7 (c) 0.5 (d) -0.22 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628890497?\nAnswer: 1307, 481171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 275 + -186883.442\nAnswer: -186608.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1430*q*w + 50553*q - 10*w wrt w.\nAnswer: 1430*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*t = 0, 3*n + 5*t - 23*t + 9 = -18*t - 3*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.903 rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 + (5 + 9 - 6). Suppose 4*g = -5*u - 12, -9*g - 4*u - 15 = -4*g. Put s, 5, -1, g in ascending order.\nAnswer: g, s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -389*w**3 - 446*w + 2. Let k(l) = 389*l**3 + 445*l - 3. Let m(p) = 2*k(p) + 3*x(p). Find the second derivative of m(y) wrt y.\nAnswer: -2334*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3570 and 206150.\nAnswer: 10513650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 39 = 37. Calculate the lowest common multiple of t and 190.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 4*n + 5 + 3*n**3 + 6 - 6*n**2 - 6. Let d = 27 + -25. Let s(j) = -4*j**3 + 7*j**2 + 5*j - 5. Let w(u) = d*s(u) + 3*g(u). What is w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 3*w**2 - 5*w - 1. Let b be c(-4). Suppose -5*p - 114 = -b*a, -5*a + 9*p = 4*p - 190. Let h be a\/14 - 2\/(-7). Solve q = -h*q - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528477595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 1, u: 2}. Give prob of sequence uu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 2. Let j(o) = -2*o - 4. Let k(z) = -2*j(z) + 5*y(z). Let g be k(-3). Let x(r) = -2*r - 6. Let n(h) = -1. Determine g*x(q) - 6*n(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/39 + (-1 - 7\/(-3)). Suppose 2\/13*y**2 + b*y - 4\/13 = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 24 = 4*k - 3*o, 5*k - 3*o - 25 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*k**2 - 4297296*k - 3683376.\nAnswer: -4*(k + 153474)*(7*k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(1*((sqrt(10) - sqrt(50)\/sqrt(5)) + sqrt(10) - sqrt(10)) + sqrt(10)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 24 = 17*j. Suppose -j*r = -11*r. Suppose r = -4*d + 139 + 257. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*k + 204*k + 10 = 5*z, -4*k + 3*z + 5 = 0. Let j(t) be the first derivative of 6 + 0*t**2 + 0*t + 1\/15*t**k + 0*t**3 - 1\/6*t**4. Solve j(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = -t. Let d = -11 + 6. What is the nearest to 5 in d, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65\/4 - -16. Let c = 7 + -11. Let a(o) = o**3 + 4*o**2 - 1. Let u be a(c). Which is smaller: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 116 - 71. Suppose -c*v + 21*v = 40. Suppose 0 = -y + 2*z + 4, y = 5*z + v - 0. Solve y*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 90.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**34*q**(-5\/8)*(q**14*q*q)**(24\/13) assuming q is positive.\nAnswer: q**(6543\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 18 = 10*o. What is the remainder when 25 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9091061 divided by -2.\nAnswer: -9091061\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 11. Let z be w(-9). Find i, given that -3*i**3 - i**2 + 0*i**4 - i**z - i**2 - i - i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5.28. Let v = -313 + 313.78. Let q = v - z. What is the second biggest value in -5, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 27*y**2 + 72*y + 24. Let b be q(-24). Calculate the common denominator of (2\/(-5))\/(24\/770) and (-830)\/b*(0 + 6\/20).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 53, -4, -0.4, -7?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/49*(83 - (-726)\/(-9)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.8544 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 1. Suppose l*r + 2*r = 125. Calculate the greatest common divisor of r and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0 - 1\/2*q**2 + 7*q. Let u(h) = h. Let z(p) = p**2 + 7*p + 1. Let n be z(-7). Determine n*u(g) + d(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -29. Which is the third biggest value? (a) 2\/3 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j - 179 = 3*s, -3*s = 4*j + 28 - 33 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1056)\/(-11) - -32*40*(-18)\/1152?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18148722 is divided by 765.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -438 - -243. Let y = d - -823\/4. Calculate the common denominator of y and ((-440)\/320)\/(7\/10).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l + 2. Let k be j(12). Let x = 36 + k. Let p = x + -5. Calculate the greatest common factor of p and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954279916 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 331.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/114 <= 1\/92648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 363*k = 362*k + 45, -2*k + 26 = 2*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -150 and 1.527.\nAnswer: -148.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5710 - -10004. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2912*b + 1234 = 2897*b + 319 for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.271374 centuries in years?\nAnswer: 627.1374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 7:39 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6}. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, u: 1, d: 2, l: 1}. Give prob of picking 2 m and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1)**(-1\/3)*(k\/(k*k**(3\/2)))\/(k\/((k\/(k\/((k\/k**(-2\/13))\/k)))\/k)*k*k*k) assuming k is positive.\nAnswer: k**(-547\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -53*a + 42. What are the prime factors of j(-51)?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-6)*(-5 - (-62)\/10). What is the derivative of -67 + r**2 - 29 + 28 - 26 + 36*r**n wrt r?\nAnswer: 74*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -183283\/52 - -3525. Find the common denominator of 19\/36 and w.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmv when four letters picked without replacement from vmmvmmmmmm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1107.057ng to tonnes.\nAnswer: 0.000000000001107057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 + -0.71. Let z = -6008 - -6011. What is the smallest value in -2.3, b, z?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -465.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*sqrt(85) - sqrt(85)) + sqrt(85))*-4 + -6*(sqrt(85) + sqrt(85) + -1*sqrt(85) - sqrt(85)))\/(sqrt(35)\/(5*sqrt(28)\/sqrt(4))))**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5194)\/(-53) + 1*4*1 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (5*sqrt(125)*-1 - sqrt(125) - sqrt(125)))**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -14. Let l be y\/(2\/1) + 7. Suppose l*b + 50000000 = -0*b. Round b to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((((p\/(p**(-2\/27)\/p))\/p)\/p)\/p))\/(p*(p\/((p*(p\/((p*p**(5\/3))\/p)*p)\/p)\/p))\/p))\/((p*(p*p*p**(-2\/13))\/p)\/p**(-2\/65)))**(17\/5) assuming p is positive.\nAnswer: p**(-48263\/8775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x + 105. Let w = -32 - x. Solve w*p + 9 = -6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 29\/(-31) - 1674\/25947. Which is the closest to -19? (a) 141 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 2309982?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18434 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-81 - (0 - 33) - -22) + 116\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.54 rounded to 0 dps?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64103, 256246, 576433, 1024664, 1600939, 2305258?\nAnswer: 3137621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 1014 (c) 0.072 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9983243 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16*r*r**(1\/59))\/(r\/(r*r**(-29))*(r\/(r\/r**(-14\/3)*r))\/r*r) assuming r is positive.\nAnswer: r**(-1118\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16832 + 16832 - 607*u to a*u + o and give a.\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y**5 + 24*y**3 + 8*y**2 - 701*y. Let v(r) = r**5 - r**3 - 2*r**2. Let k(s) = -p(s) - 4*v(s). Find the second derivative of k(l) wrt l.\nAnswer: -300*l**3 - 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*(3 + sqrt(1573)) - (sqrt(1573)*-5 + -1)) + 4)**2 + 1.\nAnswer: -220*sqrt(13) + 6318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s**2 + 35*s - 9. Let y be r(-11). Suppose 2*x - 4*b - 1256 = 0, -2*b + 1294 = 3*x - y. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -12. Let w = f - -0.5. Let k = 9 - 5. What is the second smallest value in 2\/5, w, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 + 8\/2. Suppose -156 = -32*f + 36. Solve 2*p = f + d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from {f: 6, o: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2513364845.\nAnswer: 5, 502672969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 82*r. Let o(d) = 41*d. Let y(b) = 11*o(b) - 6*u(b). Let k(i) be the second derivative of 0 + 0*i**2 + 1\/6*i**3 + 12*i. Calculate y(k(t)).\nAnswer: -41*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1729 and 23023.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 2, o: 3, r: 6}. What is prob of picking 1 r and 1 t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 41 = -257. What is the least common multiple of 15 and x?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(-5 + 114\/18). Suppose 5*x - 28 = 2*x + h, -s = 2*h. What is the remainder when 19 is divided by x\/((-180)\/8) + (-114)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {f: 2, v: 1, u: 1, j: 1, o: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 294 * 3.87\nAnswer: 1137.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 13. Let y(t) = -2*t + 12. What is -4*s(q) - 5*y(q)?\nAnswer: 2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -96298\nAnswer: 96285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 12*i**2 + 4*i - 24. Let j be f(12). Suppose 0 = 3*r + j - 3. Sort r, -4, 1, -3 in descending order.\nAnswer: 1, -3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 - 4711*y**2\/3 + 4708*y\/3 + 3140.\nAnswer: (y - 4710)*(y - 2)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, 1, -3, 13330, 260 in increasing order.\nAnswer: -3, 0, 1, 3, 4, 260, 13330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, n: 1, y: 4}. Give prob of picking 1 n and 1 y.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p**3 - 5*p**2 + 8*p - 5. Let a be n(-6). Let c = a - 44995\/11. Calculate the common denominator of c and 20\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**4\/8 - a**3\/6 + a**2. Let l be ((-10)\/(-12))\/(6\/(-108)*-3). What is the tens digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 8*n**2 + 10*n - 10. Let s(q) = 5*q - 8. Let o be s(3). Calculate the least common multiple of 1 and i(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 - 147. Let f = m - -17. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4531694580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)\/j)**(-15)*(j*j\/(j**(-1)\/j*j))**4)**10 assuming j is positive.\nAnswer: j**345","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 126.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/5)\/((v\/((v**(-15\/2)*v)\/v))\/v))\/(v**(-23)*v**(-3\/7)) assuming v is positive.\nAnswer: v**(1059\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**2 + 5*a**2 + 51 + 47 + a**2 - 98.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/11 - -13\/44. Which is the fourth biggest value? (a) -1\/2 (b) y (c) 0.4 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 + 20. Let n be r(0). Suppose 5*p = -2*q + 508, -8 = q - 12. Calculate the highest common divisor of p and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99.015 - 0.015. Let w = o - 99.3. Let i = -25 + 11. Which is the nearest to i? (a) w (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*t. Let c(a) = 19*a. Is c(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 - 77. Let r be (19 - 1) + (-4)\/(24\/p). Suppose 0 = -v - 5*t - 10, 5*t + 10 = v + 4*v. Solve v = -6*j + j - r for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*z - z - 125, 5*x + 4*z = 148. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-6))\/(-1*(-1)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*v = -5673 - 3240, -22279 = -5*q - 4*v. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -15.3. Let f = -0.3 + m. Let p = 21305 + -21301. Which is the closest to -0.1? (a) f (b) -2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1139908 and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/4 (b) -2\/11 (c) 4 (d) -25144 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 421330?\nAnswer: -421332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 730164248 to the power of 1\/2, to the nearest integer?\nAnswer: 27022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 88. Suppose 15*y + u = 14*y. Let m be (42\/y)\/(18\/(-24)). What is the highest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 342 + 70 = -2*g, 2*n + 5*g - 92 = 0. Calculate the greatest common divisor of 84 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -394 or 19052?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*o = 77 + 100, 0 = 3*i - 4*o - 133. What is the remainder when i is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2702 - -21505\/8. Let x = -14 - b. What is the third biggest value in 1\/9, 1\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -402 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10590 divided by 2.\nAnswer: 5295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24139)\/1195)\/((3\/(-9))\/(55\/33)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**3\/4 + 189*x**2\/4 - 47*x = 0.\nAnswer: 0, 1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 516 + -20971\nAnswer: -20455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2498 rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 7:34 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h = 33*h + 3*b + 102, -h + 5*b + 102 = 0. Sort 5, -6\/11, h in descending order.\nAnswer: h, 5, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4188 > -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -2)\/(20\/(-8)*(-17)\/(-85)). Let w(x) = -26*x - 1. Let s(t) = 105*t + 4. What is g*s(c) + 9*w(c)?\nAnswer: -24*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.6 - 51. Let a = 34 + m. What is a rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -17. Suppose n*q = -4*k + q - 16, 5*q = 0. Let w(o) = o + 10. Let h be w(k). What is the greatest common divisor of h and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**6\/120 + 2*v**5\/15 + 5*v**3\/6 + 4*v**2. Suppose 2*h + 15 + 31 = 5*r, -15 = 5*h. What is the units digit of b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70235959?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5047.3 to the nearest 10.\nAnswer: 5050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*i**2 - 30*i + 24*i**2 - 17*i - 68*i - 5 = 0.\nAnswer: -1, -1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -111, -237, -421, -669, -987, -1381?\n\"Answer: -c**3 - 20*c**2 - 7*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, q: 3, r: 2}. What is prob of sequence rd?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + f**2 + f**2)*(-f**2 + 4*f - 4*f)*(2 + 0 - 1) + 2*f**4 - 5*f**4 + f**4 + (-2*f**3 - 3*f + 3*f)*(2*f - 6*f + 3*f) - 3*f**4 - 2*f**4 + 6*f**4.\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2539.05 - 2539. Put c, -3\/7, 12 in decreasing order.\nAnswer: 12, c, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214169 (base 12) to base 5.\nAnswer: 113304122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:43 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.24 - 0.24. Let p = 3 - m. Which is the closest to 1? (a) 0.4 (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305796933.\nAnswer: 3, 13, 2613649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 + t**2 - 1 + t + 3*t**2 + 2*t. Let y be s(-4). Suppose 4*l - 14 + 2 = 0. Solve -p = -4*a - 4*p - 17, -y*p - l = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174102 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2875 and 1.3?\nAnswer: 2873.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -6)\/(3 - 2 - 2). Suppose -8 = -2*p, -n*z - 2*p = -5*p + 42. Let d(x) = 5239*x - 66. Let r be d(z). What is r rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 25. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -81?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t + 216 + 0*t - 215. Let u be 0 + 0 + 0 + -1. What is k(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2129653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k**4 - 4*k**3 - 4*k**2 - 2*k. Let y(t) = -11*t**4 + 3*t**3 + 3*t**2 + t. Let d(c) = 3*q(c) + 4*y(c). Find the second derivative of d(f) wrt f.\nAnswer: -168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + ce7e876?\nAnswer: ce7e874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 440534 + 2?\nAnswer: 440536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 207563 - 56694976?\nAnswer: -56487413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 129375 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1. Let v(j) = j + 3. Determine -5*s(t) - 2*v(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1b99 (base 13) to base 5\nAnswer: 113212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1194760\/320025*((-30)\/8)\/(-5).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*-21*6\/(-8). Suppose 5*m - 105 = 5*a, -5*a + 0*a = 0. What is the highest common factor of m and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8879, 35586, 80125, 142502, 222723, 320794, 436721?\nAnswer: 570510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1345 - -2332. Suppose -27 = -10*j - b. Which is smaller: -97 or j?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1886 and -90203884836.\nAnswer: -90203886722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 68. Suppose -3*j = 5*t - 2*j - 87, 5*t - 96 = 2*j. Calculate the remainder when -4 + 2 - u - -29 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/70*406\/(-145)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 8, -5 in increasing order.\nAnswer: -5, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, j: 8, s: 1, w: 2, f: 3}. Give prob of picking 1 w, 1 k, and 1 s.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -u**6\/90 - u**5\/12 - u**4\/9 - 26*u. Factor h(c).\nAnswer: -c**2*(c + 1)*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8509326*c**3 - 2*c**2 - 1695509*c wrt c.\nAnswer: -51055956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l - 3. Let s be u(-4). Suppose 4*f - 5*j = 5*f - s, 0 = -2*f + 4*j - 8. Solve -26 + f = 3*w - 4*z, -2*w + 1 = 3*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*w + w - 81, 2*i = -2*w - 180. Is w\/58*7636\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v. Let j be (4 - 68\/20)*(-50)\/(-6). Let i(o) be the first derivative of 0*o + 0*o**2 - j - 1\/3*o**3. Calculate i(b(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 9\/11, 65?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 1 - 4. Suppose -16 = 2*y + 2*y. Let l = -1250\/7 - -179. What is the second biggest value in y, l, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2774345330 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -49110 divided by -1637?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4508523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 - 6*g + 47. Let z(t) = -104*t. What is p(z(i))?\nAnswer: 43264*i**2 + 624*i + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-7)*(36\/24)\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 128 = 533. Suppose -2*w + 30 = 2*v, -4*v = -4*w - v + r. What is the remainder when w is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3*p**2 + 2*j**3*x**2 - 2*j**2*p**3*x + 2*j**2*p**2*x - 18106*j**2*p*x + 176467544*j*p**3*x**2 + 7*j*x - 5*p**3 wrt x?\nAnswer: 4*j**3 + 352935088*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + i**2 - i - 1. Let f(y) = 2*y**3 + 3*y**2 - 4*y - 8. Let w(b) = -f(b) - l(b). What is the tens digit of w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4842 divided by -4?\nAnswer: 2421\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -19d?\nAnswer: -19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 21780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 728, -3\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -465847925 divided by -5?\nAnswer: 93169585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 + 5*w - 7. Let c(t) = -t**3 - 12*t**2 + 7. Let q be c(-12). Let s be v(q). Calculate the highest common divisor of 42 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -32, -34.6 in descending order.\nAnswer: -0.3, -32, -34.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 - 2030*r + 206045 = 0. Calculate r.\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/3 - 1*-3. Suppose 15 = -o*v, v = 3*f - 8 - 12. Let y = -5.06 - -0.06. Which is the nearest to 0.1? (a) f (b) y (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/5 of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 12 = 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 377, 363, 339, 305, 261, 207?\n\"Answer: -5*k**2 + k + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-44)*172\/129?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4451, 4460, 4479, 4514, 4571, 4656, 4775, 4934?\n\"Answer: g**3 - g**2 + 5*g + 4446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, 0.56, 0.4, -3, 2\/109?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -22\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:22 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 2*d**2 + 4*d - 6. Let a be b(2). Solve 2*s = -4*y + 14, a*y - 6*y + 16 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214699 - -16769.\nAnswer: 231468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 170*y + 226. Calculate i(0).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**7\/56 - r**6\/90 - 4*r**3\/3 + 9. Let d(l) be the third derivative of y(l). Find the third derivative of d(c) wrt c.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -7\/3*z**3 - z**2 - 27*z + 1\/5*z**5 + 0*z**4 + 5. Find the second derivative of g(w) wrt w.\nAnswer: 12*w**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(2\/33)*m**2*(m**(-2\/5)*m)**(-15) assuming m is positive.\nAnswer: m**(-200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/30 - (-183)\/30. Solve -u = 17*b - 14*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 103.2 and -251863.\nAnswer: -251759.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11924150 by 175.\nAnswer: 68138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*a + 38 = 38 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457504501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17\/34)\/((-2)\/4)*0. What is the nearest to y in 2\/9, -11, -3\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*s - 569, 2*s - v + 237 = -46. Let c = s - -1577. Calculate the remainder when c is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4674 = -379*i + 742 - 1443 - 1068 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5392*t. Let i(p) = 12*p. Determine i(k(m)).\nAnswer: 64704*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 - 4 = 4*l + 3 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/9 + 16*x**3\/9 + 38*x**2\/9 + 20*x\/9 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 + -100?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -391, -1622, -4093, -8218, -14411?\nAnswer: -23086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*r + 2850*r - 3 + 700*r + 715*r.\nAnswer: 4691*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + k + 5 + (1 + 4 - 3)*(-4*k - 2*k + 3*k) + 2*k - 3*k + 2*k - 3*k - 4 + 4 to the form z*k + h and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = 4*u. Let o(v) be the third derivative of -v**5\/10 + v**4\/4 - 5*v**3\/6 + v**2. Let s(j) = j**2 - j + 1. Determine u*s(z) - o(z).\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6499 + 6598 - 3*y - 4*y. Let f be i(9). What is the greatest common divisor of f and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 t when three letters picked without replacement from {e: 4, u: 5, t: 2, y: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.5 - 12253417?\nAnswer: -12253484.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, j: 4, i: 4, n: 3}. Give prob of picking 2 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-18))\/t)\/(t*t*t**(-14)))\/(t**14*t\/((t**(-24)\/t)\/t)) assuming t is positive.\nAnswer: t**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {i: 2, r: 2, z: 9, y: 1}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -7, 4, -23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.06 (b) 4 (c) -7 (d) -22\/3 (e) -10\/7 (f) -1 (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1238155567?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*q + 34, q + 5*r = -3 - 1. Let u = -14 - -12. Sort u, q, 3.\nAnswer: u, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g - 0*g, 2*g = -4*n - 8. Suppose -2*i - 2*u = -2, -2*u - 15 = 3*u. Suppose -5 = i*k + 5*y + 3, -3*y = -4*k - 8. Which is smaller: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 70545866 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 0.08991.\nAnswer: 0.35964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2249099932\/5 - -7003696619963\/15570. Let x = p + -2\/1557. Calculate the common denominator of 0 - ((-71)\/10 - 1) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 4, -7, 34, -5 in ascending order.\nAnswer: -7, -5, 1, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 - d - 2. Let s(x) = 6*x**2 + x + 3. Let o(r) = -5*c(r) - 4*s(r). Is o(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24274, 3, -2 in ascending order.\nAnswer: -2, 3, 24274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12362*t - 1975. What is the tens digit of j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7759 is divided by 129?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.4.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9041429105506 + 9041429105506 + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-8) + 112\/48)\/(-5 + (-48)\/(-9))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1607 is divided by 176?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 11) in base 5?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 410 + 11*k**2 + 5*k**3 + 411 - 2*k in the form n*k**3 + g*k + x*k**2 + o and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -84, -193, -332, -507, -724?\n\"Answer: -m**3 - 9*m**2 - 75*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/6*6 + 0. Let f be c\/((-567)\/1440)*(-2265)\/(-2). What is f rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 less than 5?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 36975356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745065?\nAnswer: 3, 5, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4074292 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9)\/j*j*j*j\/(j**(1\/2)\/j)*j)\/(j*j\/(j\/(((j*j**(1\/10)*j)\/j)\/j))*j*j**(-13)))**(-33) assuming j is positive.\nAnswer: j**(-891\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -5. Suppose 12 = -u*q - 0. Sort 0, q, 4.\nAnswer: q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28583221.9 rounded to the nearest 1000?\nAnswer: 28583000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-4)*s**(-5)\/((s*(s*((s*s\/s**(-1\/3))\/s)\/s)\/s)\/s)*(s\/s**(-7)*s**(-1\/15)\/s)**11 assuming s is positive.\nAnswer: s**(1004\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/8 + 241*v\/2 + 28956 = 0. What is v?\nAnswer: -508, -456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*sqrt(144)\/sqrt(3))**2 + -4 + ((-5*(sqrt(15) - sqrt(135)))\/sqrt(5) - ((-1 + sqrt(192))**2 + sqrt(3) + (sqrt(3) + 1 + sqrt(3))**2 + 4)).\nAnswer: 21*sqrt(3) + 1322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -50 - -8 - 2 - -18.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 534 + -491. Solve -7*w = i - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4. Let m(j) = j - 1. Let s(c) = -m(c) + v(c). Let u be s(-5). Solve -b - 12 = -u*f, 5 + 11 = 5*f + b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325979, 325978, 325977, 325976, 325975?\nAnswer: 325974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 1\/4 (c) 57 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 5*v + 2*v)*(-2 + 3 + 8)*(7 - 2*v + 0*v + 1).\nAnswer: 18*v**2 - 72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110784 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 25 = 4*f + 29, -4*f = 17*x - 84 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 945, 1\/7, 0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 9:49 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 14. Let m be i(-10). Let j = 13 - 8. Sort j, -2, m in decreasing order.\nAnswer: j, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k**3 - 6. Let m(o) = 41*o**2 + 11*o + 20. Let p be m(-3). Let c = p + -362. Let n(x) = 1. What is c*n(s) - l(s)?\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199 + -135. Let g be ((-1)\/(-2) + -1)\/((-2)\/z). Is 16 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 6\/2)\/((-20)\/25040)?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-11)\/((-7018)\/1925))\/(210\/(-140))?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/13)\/p)\/p*p**(1\/6)*(p\/(p\/(p**(6\/11)\/p)*p*p))\/p*p**10\/p assuming p is positive.\nAnswer: p**(3053\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.4455 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 349673747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z + 31. Determine n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 24 + 4*k + 0*k**2 + 0*k**2 + 2*k**2 - 3*k**3 as v*k**3 + a*k**2 + c*k + u and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6859 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 42, 1, 2, 17, -11.\nAnswer: -85, -11, 1, 2, 17, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 0. Let u = c + -9. Let w be (17 + -3 + u)*1. Solve -j = 2*j - w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 1, s: 12}. What is prob of sequence xs?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1169 = -2*s, -3*d - 46 - 516 = -s. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 4*z**2 - 4*z + 6. Suppose -4*l = 5*s - 171, -160 - 41 = -4*l + s. Suppose 48*j - l*j + 3 = 0. Let y be a(j). Solve 5*r + y = -12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-11)\/(-66)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -257, -377?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319.136 years in months?\nAnswer: 39829.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3134 + -3127. Put 0.1, 0.02, b, -2 in descending order.\nAnswer: b, 0.1, 0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**4 - 3*j**2 + 63*j - 119. Let y(f) = f**4 + f**2 - f - 2. Let c(k) = -s(k) - 3*y(k). Find the first derivative of c(q) wrt q.\nAnswer: -8*q**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39229877 to the power of 1\/2, to the nearest integer?\nAnswer: 6263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/13 - 7724*v**3 - 301222*v**2\/13 - 200812*v\/13 = 0 for v.\nAnswer: -50203, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4011430 (base 5) to base 13\nAnswer: -22ac3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1312 + 1311.9. Which is the biggest value? (a) 5 (b) -0.115 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 16*z = 244 + 81 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23069 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - (33 - 11)) + -21 + 11.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zlzihzplhinz. Give prob of picking 1 z and 2 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.26 (b) 2\/3 (c) 1\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 4439268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 52140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/1)\/(18\/48). Calculate the lowest common multiple of 7 and 1\/1 - (-11 - a).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*p + 19. Let o(g) be the second derivative of g**5\/20 - g**4\/4 + g**3\/2 - g**2\/2 + 3*g. Give o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 209*q - 193. Let u = 109 - 43. Calculate the remainder when u is divided by t(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/3053?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-720)\/(-405)*(-9)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -60 + 183. Let u = f - -94. Is 51 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4270336.7 + 0.031324?\nAnswer: -4270336.668676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3 - 51. Let o(s) = s**2 - 2*s - 1. Let n be o(3). Suppose -2 + 26 = 5*h - 2*m, 4*m = n*h - r. Let d(c) = -c**3 + 4*c**2 + c + 2. Give d(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 167, 141, 93, 17?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 13) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 5)*(2*s - 5*s - 4*s)*(-6*s - 7*s + 2*s) to c + j*s + m*s**2 and give m.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16.6 * 3\nAnswer: -49.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4160 is divided by 136?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(2\/29))\/q)\/q)\/(q**(11\/5)\/q*q))\/((((q*q**(-32)*q)\/q)\/q)\/(((q*(q*q**(-10\/3)\/q)\/q*q)\/q)\/q)) assuming q is positive.\nAnswer: q**(10613\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -196 != -197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19895920 divided by -15728?\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*z - 2. Let f be 10\/(-534)*z\/(-5). Let m = f + 785\/2136. What is the second biggest value in m, -4, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*d + 25 + 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 667443424161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**2 - 65*l**2 + 30*l**2 - 12*l**3 + 6*l**3 + 10*l**2.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 24*d**2 + 288*d + 291. Determine u(33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**3 - 2*q - 1. Determine h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + g + 1. Let t be i(-1). Let r be ((3 - t) + -2)*8. What is the remainder when 29 is divided by r\/(-28) + 151\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 178727340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18.8*-0.30984\nAnswer: 5.824992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-26)\/(78\/63)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 38. Find the third derivative of 21*h**s + 7*h**6 - h**2 - 7*h**2 wrt h.\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7000.2 * 0.1\nAnswer: -700.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-833)\/(-238)*8\/28. Sort -16, 12, -8, q in decreasing order.\nAnswer: 12, q, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (7 - (-1 - -3)) - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)\/(y\/(y\/(y**(-4\/7)\/y*y)))*y*y**(3\/10)*y**2*y**(-6)*y*y**7*(y\/y**(-6))\/(y\/y**8) assuming y is positive.\nAnswer: y**(901\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318934 is divided by 69.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2250?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1010.9 + -1011. Which is greater: l or -60?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 2*r. Let z = 6 - r. Suppose -4*l + z*l = -68. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89144*p**3 - 69026*p**3 - 54349*p**3 + (0 + 0 - p**2)*(3 - 3 - p) to the form a*p**3 + j*p**2 + m*p + c and give a.\nAnswer: -34230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.28? (a) -1\/2 (b) 0.6 (c) -12.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -101010010012202 (base 3) to base 13\nAnswer: -1162b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40308202.18102 minus -0.1?\nAnswer: 40308202.28102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 285.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3644308 days in milliseconds?\nAnswer: 31486821.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37682 and 996?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**2 - 5028*k + 2003400 = 0.\nAnswer: -1575, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 372771881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332 - -332. Which is the third biggest value? (a) -3 (b) f (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 676 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/(-8) - (-55)\/4 and 158378\/1012 - (-2)\/(-4)?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 192\/201953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -69, -64, -47, -12, 47, 136, 261?\n\"Answer: w**3 - 2*w - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**3\/3 + 19*b**2 + 361*b + 20. Find h such that j(h) = 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -205*p**3\/2 - 475*p**2\/2 + 20*p - 3. Differentiate d(o) with respect to o.\nAnswer: -615","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 67. Let i = -1189.8 - -1190. What is the third biggest value in i, o, -0.03?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 33785.\nAnswer: 18\/33785","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.03 + 0.03. Let j = a - -7.7. What is the nearest to 1 in -2\/13, -2\/9, j?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaa when three letters picked without replacement from {a: 2, i: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2397758 is divided by 58.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 4, -3\/16, 2, -0.1 in descending order.\nAnswer: 4, 2, 1\/9, -0.1, -3\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 8*r**2 + 19*r - 12. Let h(c) = -3*c**2 - 6*c + 4. Let p(z) = 11*h(z) + 4*k(z). What are the prime factors of p(7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193309 is divided by 4296?\nAnswer: 4285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 + n. Let d(v) = 3*v**3 + 2*v**2 + 3*v + 1. Let q(w) = -2*d(w) + 5*g(w). Suppose 0 = 78*o - 71*o - 14. Determine q(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5 + 4*s**4 + 48*s**3 - 124*s**2 - 46*s + 120 = 0.\nAnswer: -5, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 180*z**2.\nAnswer: 4*z**2*(z + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07012988 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 302212.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 21. Let b be a(-12). Let m = 142 - b. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101112 (base 4) to base 5\nAnswer: 13420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*q**3 + 673*q**2 - 46*q - 592145 with respect to q.\nAnswer: 33*q**2 + 1346*q - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-21))\/((-8)\/(-144)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 22*k + 38. Let q be l(24). Let c be (-25*q)\/((7\/(-10))\/(-7)). Round c to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -496\/3 + 2468\/15. Which is the second smallest value? (a) 134 (b) -2 (c) q (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54277?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**2 + 0*a**2 - 11*a**2 + 0*a**2 - 62*a**3 to the form v*a + l*a**2 + o + r*a**3 and give r.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence igig when four letters picked without replacement from {g: 8, i: 3}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 17 = -j, -3*u + 2*j - 14 - 8 = 0. Let c = -53 + 10. Let o = c - -40. Sort 10, -1, u, o in increasing order.\nAnswer: u, o, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -502 - -836. What are the prime factors of f?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26820 divided by 447.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33784 - -0.21?\nAnswer: 33784.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72375 (base 8) to base 9.\nAnswer: -45066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - 327?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -10, 64, 186, 356, 574?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2962022?\nAnswer: 2, 7, 211573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from {i: 3, z: 5, m: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 7. Let x(d) = -6*d**2. Let m be x(-1). Let l be k(m). Suppose -h + l + 1 = 0. What is the remainder when 5 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 11 - 40)*(-2*x**3 - 9*x**4 + 14*x**4 + 3*x**3) to the form s + r*x + j*x**2 + b*x**4 + y*x**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t - 4. Let m be o(-2). Suppose -m*b = b - 210. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 bigger than 1403\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 13*q + 11. Let f be b(-4). Let r = -46 - f. Calculate the smallest common multiple of r and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - b**3 + b - b**3 - b + (5*b**2 - b**2 - 2*b**2)*(b - 4*b + b) + 0*b + 0*b - 4*b**3 + (b + b + 0*b)*(-b**2 + b**2 - b**2).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 4 + 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 119 = 8*z, -42 = 3*x - 6*x - 5*z. Solve -6*n - x = -37 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c**3 - c**2 + 2. What is q(-2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 1508.2138623111.\nAnswer: 1510.2138623111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/7 + 268242*c\/7 + 52994304\/7 = 0. What is c?\nAnswer: -89216, -198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from edxkddxqkqhdkqd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (-41 - (-33 + 39)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73611*k - 149857 wrt k?\nAnswer: 73611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 26*a**2 - 36. Let x(p) = -27*p**2 + 35. Let d(b) = -3*t(b) - 2*x(b). Find the first derivative of d(z) wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 7 = -5*k, 5*k + 0*k = 3*x - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 154*m**2 + 101*m + 59. What are the prime factors of i(-14)?\nAnswer: 127, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, -399, -473, -525, -525, -443, -249, 87?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206760 is divided by 1696.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13c + -ac0a?\nAnswer: -aabd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*w - 65*w + 4*w**2 + 676*w.\nAnswer: 4*w**2 + 917*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:32 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m**2\/3 - 6304*m - 5404\/3.\nAnswer: (m - 2702)*(7*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55492439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*g**2 - 5*g + 4 wrt g.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1365 and 1801536.\nAnswer: 819698880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 488*j + 1200. Calculate z(-4).\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 6*u**4\/5 + 2233*u**3\/5 - 10974*u**2\/5 - 15463*u\/5 - 2262\/5 = 0.\nAnswer: -377, -1, -1\/6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1 - -1) - 4 - -1220. What is the hundreds digit of (702\/(-72))\/((-12)\/w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25413 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 5:44 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let x(h) be the first derivative of -3\/2*h**2 + 32 - 4\/3*h**3 - 3*h. What is 2*x(b) - 6*y(b)?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.791 + -1.53434. What is y rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 6*h**2 - 2*h + 17. Let o be y(-5). Suppose 4*s + 372 = 5*m, s + 369 = 5*m - o*s. Calculate the smallest common multiple of m and 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/13*v + 2 - 2\/13*v**2.\nAnswer: -2*(v - 13)*(v + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/38 or 12.84?\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*k - 103*k = 1112. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-7\/4))\/(n*n\/(n*n*n\/n**5))*(n**(-2\/7))**36)\/(n**(-1\/2)*n**(2\/7)*n**(-1\/4)\/n*n**(1\/2)) assuming n is positive.\nAnswer: n**(-197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*u + 595*u - 308*u.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 11*n**2 + 3*n**2 - 4*n**2 - 4*n**2.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*r = 3*u + 9, 0 = 5*r + 5*u + 35. Let l be (-1)\/r + 460\/(-30). What are the prime factors of 25*(27\/l)\/(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 plus 4?\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4684 - 4365. Sort -2\/9, j, 1, 2 in decreasing order.\nAnswer: j, 2, 1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278381 is divided by 374?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfjrvvj. Give prob of sequence vfv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 16) to base 4.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y - 32. Suppose -4*o + 10 = -2*o. What is the remainder when c(o) is divided by (-1)\/(1 + 7\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 3*c - c)*(0*c**2 + c**2 + c**2) - 3*c**3 - 7*c**3 + 4*c**3 + (c**2 + 0*c**2 + c**2)*(c - c + c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2943 and 0.4.\nAnswer: 0.6943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 + 1.12. Let n = 21126 - 21126.999984. Let w = a + n. Round w to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -186 - -182. Let w(r) = r**2 + 4*r - 3. Let z(q) be the third derivative of q**5\/60 + q**4\/8 - q**3\/3 - 6*q**2. Give c*w(y) + 6*z(y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - 9066 + 9066.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(((-28)\/(-4))\/7). Solve -r - 2 = -2*a, 10 = -2*a - i*a + 4*r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133 + h + 11 - 28 + 14 - 14 to x*h + o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2 + 32*w**3 - w**2 - 31*w**3 - 2*w**2 - 7*w. Let i = -11 + 16. What is the units digit of l(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 6)*(-47*i + 11*i - 62*i)*(i**2 + 4*i**2 - 3*i**2).\nAnswer: 392*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3 = b. Let u = -4 - b. Sort -4, u, 2.\nAnswer: -4, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4432 = -4*z - 4*y, -5*z - 3125 = 3*y - 8671. Calculate the highest common factor of 404 and z.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 5798121.\nAnswer: 5798121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5548*g = 2358*g - 42925 - 463059 for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -148030 (base 10) to base 8.\nAnswer: -441076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-46 + (57 - 37))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**4\/6 - 34177*z**3\/3 + 1162586209*z**2\/6 + 31221373040*z + 1251778185600 = 0.\nAnswer: -80, 34257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-1*sqrt(176))\/sqrt(4))\/(-1*sqrt(576)))**2*-6.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*o + 162*o - 90 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566 (base 9) to base 14.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(16\/3)*q)\/q**(2\/31)*((q*q**(2\/19)*q)\/q)**(-40) assuming q is positive.\nAnswer: q**(-84124\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) 0.3 (c) -36 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 21. Let d(m) = -m**3 - 5*m**2 - 6*m + 7. Let w be d(k). Suppose -47 = -4*g + w. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s + 6*s - 2 + 2*s - 2*s. Let p be v(6). Let k(q) = q**3 - 4*q**2 + 5*q - 3. Let r be k(3). Solve a - p = -r*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -24 - 1\/3*d**3 + 1\/6*d**4 + 1\/120*d**6 - 2*d**2 + 1\/12*d**5 + 0*d. Let o(b) = -b**3 - 4*b**2 - 4. Let v be o(-4). Give m(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0366169377319 and 5.\nAnswer: 5.0366169377319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 21 = 27. Let u(x) = -x**2 - x - 7. Let y(t) = t + 4. What is j*u(a) + 5*y(a)?\nAnswer: -3*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6591*z**4 + 6445 wrt z?\nAnswer: 26364*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3680200*g*t**2 - 298*g - 122*t wrt t?\nAnswer: 7360400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 0 - 22)*(4*b + 2*b - 2*b).\nAnswer: -192*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**6\/8 + 3*r**5\/10 - 9*r**4\/16 - r**3 + 3*r**2\/2 - 14. Determine y so that s(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)\/z*z*z**(-7)*z**6\/z**(1\/4) assuming z is positive.\nAnswer: z**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5613 - 5611. Which is the second smallest value? (a) t (b) -0.1 (c) -1\/5 (d) 4 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2541985630 rounded to the nearest one million?\nAnswer: -2542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) -458 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 12*a + 11. Let y(v) = v**2 + 22*v + 21. Let o(x) = 3*y(x) - 5*z(x). Factor o(g).\nAnswer: -2*(g - 4)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 2:54 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Differentiate -5 + 3 - t**2 + a + 3*t**2 with respect to t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m. Let j(l) = -91*l - 3. Let a be 4\/(-18) + (-392)\/(-63). Let h be j(a). Let z be h\/(-81) + 4\/18. Let x(v) = -10*v. What is z*p(w) + 2*x(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 27. Let c be z(11). Which is bigger: c or -33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*l - 124, 5*l + 520 = 5*o - 0*o. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51343 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 22, -4, 10 in descending order.\nAnswer: 22, 10, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 1922*o**2 + 4*o - 2. List the prime factors of j(1).\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 9. Let v be i(-4). Let z be (-4)\/(v - 3) + 2. Suppose -4*x + 144 = -4*a, z*x - 2*a - 130 = -5*a. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -327*d**4 + 10*d**2 - 1994*d wrt d.\nAnswer: -3924*d**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22769, -45542, -68317, -91094?\nAnswer: -113873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 174\/3 + (-2)\/8*-4. Suppose 3*k = 2*y + n, -3*k - 5*y = -y - 71. Solve -c - 4*p = 23, c + 3*p + k - 3 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216*55.8\nAnswer: 12052.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 2\/33 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (2 - 5)) + (-12 - -19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123291 and 525483?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*f**3*u**3 - 10*f**3*u**2 + 481*f**3*u*w - 2*f**3*u + 2*u**3*w wrt w?\nAnswer: 481*f**3*u + 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**6)\/(a*a*a**2))**(-46) assuming a is positive.\nAnswer: a**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:50 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 6*i - 8. Let q be y(8). Suppose -q = j - 0*j. Let b = -6 - j. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 take away -45?\nAnswer: 45.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/51320220 and 179\/206520.\nAnswer: 102640440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6829.1458 - -254854.\nAnswer: 248024.8542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 18032\nAnswer: -3\/18032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -175296 divided by -66?\nAnswer: 2656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3016090 to the nearest one hundred thousand.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 3*l**2 + (l + 0*l + 3*l)*(2*l - 3*l - l))*(-1 + 2 + 1)*(2*l + 0*l + 0*l) to the form q + b*l + w*l**2 + a*l**3 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 2*f + 60 = -d, -53*d - 2*f - 3*f = -56*d + 13 + 39 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5969 - 1454. List the prime factors of y.\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f + 1. Let h(v) = -8 - 4*v + 1 + 3*v - 4*v + 8*v**2. Suppose -a + 43 - 48 = 0. Give a*i(n) - h(n).\nAnswer: -3*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -19639*m = -19619*m + 380 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-10)\/3 - -3) + 28\/3 and 93?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (1 + 0 - -2). Suppose r = 5*u - 5, 5*b + u - 23 = 3*u. What is the least common multiple of b and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132016 + 39723 = 693*m + 773*m + 47*m for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 0.5 (c) 2\/3 (d) -1\/4 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 42*o**2. Let k(m) = 1169303*m**2. Give k(b(a)).\nAnswer: 2062650492*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-1680)\/(-49))\/10)\/(1*21\/(-98))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzyzzzzzyzzyzzzzyz. Give prob of sequence zy.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*o - 3*o**2 - 38*o)*(o - o + 2*o)*(3*o - o - 4*o).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emeuueeu. Give prob of picking 2 u and 2 e.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 130, -0.4, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 16*b**2 + 661*b + 8. Give u(-19).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**7\/504 + c**5\/24 + c**4\/12 - c. Let z(o) be the third derivative of k(o). What is the derivative of z(a) wrt a?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d*d\/d**(1\/17)*d)\/d*d))*(d**(4\/7)*d)\/d)\/(d**21)**(-21\/5) assuming d is positive.\nAnswer: d**(54569\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 1:06 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 w when three letters picked without replacement from rrwubssn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -3*a, 5*q + 2 + 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 326.9705 + 0.0295. What is the biggest value in 2, y, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*d + 86 - 106 = 0, 3*d + 12 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1276.47 and -0.01?\nAnswer: 12.7647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*c + 12. Suppose 2*k + f + c*f = 9, -k + 4 = 2*f. Suppose -3*n - 2 = -k*r - 40, -5*n + 4*r = -66. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.14 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 13*c**2 - 13*c + 20. Calculate the least common multiple of 77 and r(-14).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-6)*(-27)\/18. Let z = 11.6 - 13. Let w = z + 0.7. What is the second biggest value in -2, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23541*d - 208 = -23533*d for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 - 22*o + 43. Let n(h) = 27*h**2 - 112*h + 216. Let i(j) = 2*n(j) - 11*q(j). Let x be i(15). Solve -2*y + 8 = -x*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48, -187, -432, -795, -1288, -1923?\n\"Answer: -2*q**3 - 41*q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682, 695, 718, 757, 818, 907, 1030?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3654 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)*y*y**7\/y)\/((y*(y**14*y)\/y)\/(y*y**(1\/7))) assuming y is positive.\nAnswer: y**(-542\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (3 + 1)) + (5 - 9) + -338 + 310?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6315 + -359954\/57. Let s(k) be the third derivative of 0 + 1\/114*k**4 + 0*k**5 + 0*k - 15*k**2 + c*k**3 - 1\/570*k**6 - 1\/1995*k**7. Factor s(x).\nAnswer: -2*(x - 1)*(x + 1)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 3*x**2 - 1094*x + 2 + 1096*x to f*x**2 + s + u*x and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i + 5*i - i to q*i + f and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.74? (a) 3\/5 (b) -2\/7 (c) 3 (d) -0.3 (e) 62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/8*((-328)\/60)\/41*(-10)\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 17, -2119 in descending order.\nAnswer: 17, 3, -4, -2119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k**3 + k**2 + k - 1. Let h be w(1). Let u be (h\/10)\/(5\/50). Find the third derivative of 4*r**2 + 0*r**4 - 2*r**u + 5*r**4 + 2*r**4 wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -2*g + 14, -4*a + 21*g = 23*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.85 - -0.25. Which is the biggest value? (a) q (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 552 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -86500 at most as big as -86503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3317 = -17*q + 5718 + 10468. Is q a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-516)\/(-7 + 6) - 2.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3148197 to the nearest integer?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/984 and -17\/1808.\nAnswer: 222384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30979501 to the nearest integer?\nAnswer: 5566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40854?\nAnswer: 2, 3, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08144 + -0.02858. Let a = 0.053 - v. What is a rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9520 (base 13) to base 14.\nAnswer: 965d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 1\/2*y**3 + 0 - y + 0*y**2. Let t(o) be the second derivative of -o**4\/6 - 5*o. What is t(m(u))?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.528*0.3\nAnswer: -0.1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/2071165 and 34\/3728097?\nAnswer: 18640485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/z**(-2\/9))\/(z**(-1\/3))**14)\/(z**(1\/3)\/z**(3\/5))**(3\/41) assuming z is positive.\nAnswer: z**(16436\/1845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.78927 to two decimal places.\nAnswer: 28.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5424.247671 to the nearest 10.\nAnswer: -5420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*j**4 + 28*j**2 - 25 + 25 + 4*j**5 + 35*j - 27*j + 36*j**3.\nAnswer: 4*j*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l**2 - l. Let c(d) = 4*d**3 - d**2 + 3*d + 21. Let w(z) = -4*z**3 + z**2 - 4*z - 26. Let p(q) = -6*c(q) - 5*w(q). What is -p(y) - 2*s(y)?\nAnswer: 2*y**3 + y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-3) - (-6 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:03 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11311333 (base 4) to base 13.\nAnswer: -ab82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858 is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*b**4 - b**2 - 54 wrt b.\nAnswer: 136*b**3 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n - 59*n + 20*n + 34*n. Let d(h) = -400*h**2. What is d(g(a))?\nAnswer: -40000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 6 = 4*l, -8 = -5*m + 4*l - 5. Solve 4 = -m*g - g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000905161924 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3200) + sqrt(3200)*2 - (sqrt(150)\/sqrt(108) + sqrt(50)))\/(sqrt(1000)*-3 + (-3*-3*sqrt(10) - sqrt(10))).\nAnswer: -137*sqrt(5)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14 = -2*v, 0 = 4*v + p + 2*p - 48. Calculate the remainder when 100 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**4\/12 + 3*s**3\/2 + 2*s**2 + 30*s. Let k be d(-8). Let r = 9 + k. Calculate the least common multiple of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3546, -6015, -8484, -10953, -13422, -15891?\n\"Answer: -2469*g - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 - 8*a**2 + 3*a**2 + (2 - 4 + 1)*(-7 + 3*a**2 + 7).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + 0 + (-192)\/56\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11*w - 103. Calculate the remainder when 97 is divided by l(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2\/4 + 1994110*x - 7976460 = 0.\nAnswer: -1595292, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1273*u - 10800 = 1138*u for u.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-41*(-46)\/(-4715))\/((-2)\/105)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11150 (base 13) to base 12.\nAnswer: -15b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21.5 or 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 759 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*r - 7452 + 3263 = 12*r + 5931 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1095*s**3 - 65*s**2 + 2*s.\nAnswer: -6570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 594.631991 - 593.57?\nAnswer: 1.061991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*l + 67782 = -93*l - 241*l - 475*l for l.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1376 - -5320. What are the prime factors of y?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57746, -4, -2\/9, 5 in increasing order.\nAnswer: -57746, -4, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3\/13 - 92*j**2 + 179992*j\/13 - 355216\/13 = 0.\nAnswer: 2, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - -34 - 7 - (1 + 2 + 0)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16301, -16323, -16347, -16373, -16401, -16431?\n\"Answer: -o**2 - 19*o - 16281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11084 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 - 4*x + 3. Let k be s(2). Suppose 2*z - 6*z = -2*c - 98, -k = -5*c. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.2, 2\/7, 9 in decreasing order.\nAnswer: 9, 1\/2, 2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141\/170 or 0?\nAnswer: -141\/170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*j + 6*j - 16 = 0, 4*o - 4*j = 84. What is the lowest common multiple of 24 - (0 + (1 - -1)) and o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*u + c**3*v - 103660*c**2*v**2 + 28198*c*u*v**2 + 2*c*u*v - 2*c*u - 2*u*v - 4*v + 1 wrt c.\nAnswer: -12*c*u + 6*c*v - 207320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 2*q**3)*(0 + 3 + 3)*(-22 + 22 + 2*q) + (4 - 6 + 4)*(1 - 1 - 2*q**4) in the form u*q**4 + m*q**3 + n*q**2 + p*q + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(1 + (-10)\/4). Suppose 0 = 3*s - 5*y - 11, 2*y - n = 3*s - 7*s. Factor 3 - z**4 + z**s - z**3 - 3 + z.\nAnswer: -z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71342.09 millennia to centuries.\nAnswer: 713420.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1813 divided by 3.\nAnswer: 1813\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64736 and 1294720?\nAnswer: 1294720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 12*z. Let y(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 + 0 + 1\/20*r**5 - 9*r**2. Calculate y(q(u)).\nAnswer: 432*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4835686, -4835701, -4835716, -4835731, -4835746, -4835761?\n\"Answer: -15*q - 4835671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/10)\/(2\/10). Let l = -0.72 + -34.28. Let v = l - -37. Is u > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 26*w**2 - 2*w. Let c(v) = 25*v**2 - 2*v. Suppose 3*y + 431*p = 430*p - 18, 5*y = 5*p - 30. Determine y*c(u) + 5*m(u).\nAnswer: -20*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 217 + 458*q**2 - 438 + 221 + 618*q**2 to y*q**2 + l + z*q and give y.\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, t: 5, y: 3}. What is prob of picking 2 a and 1 t?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 13 = -4. Suppose -k + 1 = -o. Suppose 3*c - 3*r - 137 = 2*r, o*r - 200 = -4*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 23*a**2 - 25*a + 48. Let b be p(22). Which is greater: -8 or b?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v**2. Let r(s) = -2*s**3 + 3*s - 2. Let b be r(1). Calculate g(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1. Let g(d) = 2*d - 8. Let r(k) = g(k) - 8*j(k). Let q(u) = 6*u + 10. Let v(o) = -2*o - 3. Let f(p) = -3*q(p) - 10*v(p). What is f(r(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f*n*v + 16*f*n + 2*f + 11*n*v - 8*v + 1 wrt f?\nAnswer: 3*n*v + 16*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-1)*152*(546\/1344)\/13.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 7*o**2 - 23*o - 54. Give p(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/7*h**4 - 4\/7*h + 32\/7*h**2 - 16\/7 - 4\/7*h**5 + 8\/7*h**3 = 0 for h.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 8) to base 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, r: 2, n: 1, p: 1, m: 2, w: 1}. Give prob of sequence rhpn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 387563248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let n(o) = 107*o - 1. Determine j(n(x)).\nAnswer: -107*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 less than 62999?\nAnswer: 63088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -13615\/3207?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 199118344.7 to the nearest 10000.\nAnswer: 199120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 5096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1398, -179, 61 in descending order.\nAnswer: 61, -179, -1398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 8:38 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -1710, -5768, -13676, -26718, -46178?\nAnswer: -73340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -28666 (base 9) in base 4?\nAnswer: -10300230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/20 and 67\/13170.\nAnswer: 26340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 0, -5, 239, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*p - 3 = 0, 7 = f - 0*p - p. Suppose -2*s - f*w = -4*s + 6, -5*w + 31 = s. Let j(g) = g**2 + 7*g + 3. Let u be j(-7). Solve -1 = u*m + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 + -126. Let i = q + 189. Suppose -i = -4*t + 415. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 17 = d, -3 - 2 = -5*d. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 4)*(1 + 2 + 10)*(0*n**3 + 4*n**3 - 5*n**3).\nAnswer: -130*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 8 + 38. Let u be 4\/b + 456\/(-9). Round u to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - i**2 - i**2 - 2*i**2 + 0*i + 0*i + (0 + 4 - 5)*(0*i**2 + i**2 + 0*i**2) + (4*i + 0*i - i)*(0*i - 5*i + 6*i))*(0*i + 2*i**3 + 0*i).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 - ((15 - 21) + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-1 + (-7)\/(-3))*-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 11*d - 11. Let s be v(12). Let t be 4 + (s - (-4 + 5)). Is t less than or equal to 13\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 129 = -6*a. Solve 5*v + 3*x + 1 = 0, -3*v + 2*x - 3 - a = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 214881.7 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 218 = 4*i - 2173, -5*i + g + 2445 = 0. Suppose -488*v = -i*v + 46. What is the remainder when 30 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35144 + -20413. List the prime factors of r.\nAnswer: 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752867?\nAnswer: 752867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -237, -238?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22450434152 + -1?\nAnswer: -22450434153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-390)*5\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n + 3*n - 2*n)*(-2*n**2 - 3*n**2 + 2*n**2) - 3*n**2 + 3*n**2 + n**3 - n + n + 3*n**3)*(-2*n + 3*n + 2*n)*(-4 + 3 - 2).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - q + 8. Let s(w) = w**2 + w + 1. Let o(a) = c(a) - 4*s(a). Let y be o(-5). What is the second derivative of 0*x + 2*x**y + x + 0*x wrt x?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 241153\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 7. Let z be j(-3). Suppose 0*h + h = 2. Suppose 0 = h*g + z*c - 8, -6*c = 5*g - c - 20. Calculate the least common multiple of g and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16665738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12182 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 6778.\nAnswer: -6778.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1287 - 1295. Let s(l) = -4*l. Let h(g) = -12*g. Give n*s(f) + 3*h(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -11. Let w = -11 + u. Sort w, 2\/5, 0 in descending order.\nAnswer: 2\/5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204 - 123. Calculate the highest common factor of s and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7962*g + 3059. Is m(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-32) - (-2 + 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1266 less than -1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 - -0.46. Let b = 25.968 - 26. Let v = b - 4.968. Sort v, 8, y in descending order.\nAnswer: 8, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59298?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 17 + (40 - 56) - (4 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 - 3042*g + 3855735.\nAnswer: 3*(g - 2535)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and -5*14\/35 + 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 25\/3, -0.4, 199, -2, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 7*p = -27 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19501502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (-30 + -6 + 17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-8))\/(5305\/50928). Let p(l) = -71*l + 417. What is p(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 133659, 133849, 134171, 134631, 135235, 135989, 136899, 137971?\n\"Answer: w**3 + 60*w**2 + 3*w + 133595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1521 + -524. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5745696 to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.79825 + -1.8. What is n rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 17*p - 6. Calculate x(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 20\/9 of a hour?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.4122kg in tonnes?\nAnswer: 0.0614122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and 3.03.\nAnswer: 296.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 39 = -30. Suppose 5*d - 2620 = 3*m, -f*d + 1635 = -2*m + 62. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -140723*w + 41892 wrt w.\nAnswer: -140723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112\/219 + -29894\/57597. Which is the biggest value? (a) 3 (b) m (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 2*n**3\/3 + 3*n**2\/2 - 3*n - 4. Let d(o) = -2*o**2 - 4*o + 4. Determine 4*d(g) + 5*h(g).\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/285)\/(990\/396)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5151 and 5353.\nAnswer: 273003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -90266.96 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -48801.3928 from 82.\nAnswer: 48883.3928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/639 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6187627 - -6187546.99967. Let d = 80 + o. Round d to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.266 - -6.266. What is the second smallest value in -1.26, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + -9*((-7)\/(-3) + -2). Solve t*i = 3*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 921023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/22)\/(1\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 20*d**2 + 173*d + 46. What are the prime factors of m(-16)?\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(sqrt(605) + sqrt(605)*-1)*5 + -3*(2 + sqrt(605) + sqrt(605))*-1*5)**2.\nAnswer: 19800*sqrt(5) + 545400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 3, 66, 177, 342, 567?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 2*o + 5418. List the prime factors of o.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, n: 18}. What is prob of sequence ssss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*2\/150)\/(2\/5)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -11*((-4)\/(-8) - 2)*2. Let l = 84 - y. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74824 less than -985448?\nAnswer: -1060272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (372\/(-3255))\/(2\/(-7)). Let h(v) be the second derivative of -27*v + 0 - 17\/60*v**4 - l*v**2 - 2\/3*v**3 - 1\/25*v**5. Factor h(k).\nAnswer: -(k + 2)**2*(4*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 4*j - 5. Let m be h(5). Suppose m*k - 4*k - 16 = 0, -4*u + k + 84 = 0. Let w = 27 - u. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - 50. Let l be x(-13). Suppose 8*m - 28 = 4*m + 4*b, -l*m - 3*b + 14 = 0. Calculate the remainder when m is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 19 = -4. Let g = f - -13. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a. Let n(q) = 3*q**2 + q + 39. Determine n(j(u)).\nAnswer: 27*u**2 - 3*u + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -14. Let t = 6.4 - y. Let f = 2 + -3. Which is the closest to 1? (a) f (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1360100 and 1608.\nAnswer: 8160600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + sqrt(98) + 3 + (sqrt(2)*3)**2*-3.\nAnswer: -59 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1615?\nAnswer: -1621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5 (base 15) to base 12.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 85*b - 597. What is a(9)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 102023?\nAnswer: 102033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7*v = -725. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 5*y**2 + 5*y + 22. Let u be l(-5). Let s(x) = x**3 + 5*x**2 - x - 3. What is s(u)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 2\/9, 2, -1\/16, -27.\nAnswer: -27, -1.4, -1\/16, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 541296000 to the nearest one million.\nAnswer: 541000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 3283956.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 308*s - 3564. What is u(11)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -45*b**3 - 13*b**2 + 10*b - 11. Let h(f) = 23*f**3 + 7*f**2 - 5*f + 6. Calculate -11*h(k) - 6*l(k).\nAnswer: 17*k**3 + k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(((f**(1\/7)\/f)\/f)\/f))\/f**8)\/(f**(1\/3)\/f**6))**(-1\/25) assuming f is positive.\nAnswer: f**(-53\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48352.4062834 and -0.3.\nAnswer: -48352.7062834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l - 2 = -c, 0 = -2*c - 3*l + 4. Let a be 1 + (5 - 3) + (-9)\/(-1). Suppose 4 = 8*x - a. Solve -4*y + 16 = 0, x*v + c*y = -y + 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 941 = -4*y + 379, 2*y - 1318 = -4*m. Suppose 16 = -4*h, 2*d - 5*d + 60*h = 55*h - 41. What is the greatest common divisor of d and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 + 714*w + 20. Let b(l) = l**2 + 4. What is 5*b(y) - i(y)?\nAnswer: y**2 - 714*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = w + 4*k, 0*k + k - 74 = -3*w. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhxjhxxpzzhhhpxhxzx. What is prob of sequence pzzx?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 424 = 4*g, 3*g + 2*p - 68 = 250. Suppose 2*x - 116 = -2*a, 2*a - 118 = -4*x + g. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*x + 1234*x - 116132 = -2268*x + 191893 for x.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -5, -1, -4\/5, -0.3, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 354*n**3 - 10*n**2 - 32*n + 180. Let q be x(15). Round q to the nearest ten thousand.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-136068)\/5244 - (-1)\/(-19)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2402 + 9178. Factor -x**3 + p*x + 2*x**3 + 38*x**2 - 185193 + 2971*x - 209*x**2 + 0*x**2.\nAnswer: (x - 57)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32.054 + -1.464. Let m = a + 0.41. Let l = 26 - m. Put l, 4, -0.3 in increasing order.\nAnswer: l, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937133365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 358631 - -701430. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 740934263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o - 46. Suppose -5*b = 3*i + 26, 90 = -4*b + 3*i + 53. Give y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose 0*w - 14 = -2*a + 4*w, 0 = 4*a + g*w - 17. Let t be 13\/(-10) - (-71)\/142. Sort -0.4, a, t in descending order.\nAnswer: a, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w - 2*w + 3*w**2 - w + 7 - w**2. Let h be s(4). Suppose 30 = 2*l + 24. Solve l = -2*d - h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000048 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26235106781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178555*-500.\nAnswer: -89277500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*4*-2*sqrt(539) - (4 + sqrt(539) + -4 + -2)) + 4)**2.\nAnswer: 3276*sqrt(11) + 819855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2)*-2 - -3. Let b = 1.1 + -2.1. What is the third biggest value in -27, b, f, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/19, 0.52, -5\/3, -27?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 8.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-752)\/(-564)*3\/(-2) + (-21 - (-3 - -8))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 680 and 33029300.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = m + 2*o, -119 - 45 = -2*m + 4*o. Suppose 3*p - 101 = m. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4\/3, 6, 0.5 in descending order.\nAnswer: 21, 6, 0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -887*l + 447*l + 440*l + 7*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 4. Suppose d - b = -5. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 4*j - 17. What is n(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86 - 11*v + 17*v - 53 + 3*v**2 wrt v?\nAnswer: 6*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 3)*(5*p - p - p)*(0*p + 3*p - 2*p).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -282 (b) 2\/3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w + 8. Let c be g(0). Is (c\/12)\/(10\/1965) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*d = d - 20, d - 10 = 2*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -286*r**2. Let m(y) = 3*y. What is m(w(l))?\nAnswer: -858*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-3 + 1 - 0). Calculate the greatest common divisor of h and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 5*x**2 + 3*x - 3. Let q be w(-3). Put q, -1, 2 in decreasing order.\nAnswer: 2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 1:14 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 3 + 10 + -32 + 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 10*p + 1. Let z be o(-9). Let q = 11 - z. Find the common denominator of (-89)\/12 - q\/(-4) and -25\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5737 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(1\/3)*(n\/n**4)\/n*n**(1\/5)\/n**(2\/9)*(n**(-3\/4)\/(((n*n**3*n)\/n)\/n))\/(n*n**0*n\/(n*n**(3\/5))) assuming n is positive.\nAnswer: n**(-1351\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 59812, 119487, 179162, 238837, 298512?\n\"Answer: 59675*x + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 517*u - 518*u - 2, 0 = -5*w - 2*u - 64 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -2*u - 3*o, 0 = 3*u - 2*o - 2*o - 74. Suppose -2*s - 36 = -4*w, -2*w + u = -4*s - 0. What is the lowest common multiple of 9 and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 327000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/8 + 18\/(-24). Suppose -w*m - r = -6*r - 417, -3*r + 965 = 5*m. Suppose -5*k + k + m = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 + 4*z**2 + 25*z**2 + 6*z**2.\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.3, -1, -0.17, -17.7, 5\/3, -3\/4?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 1, 3*z + 2*c + 3*c = 20. Suppose 0 = -2*t - 3*m - 4, 0 = z*t - 4*m - 8 - 5. Let i = -11 - t. Sort i, -4, 5 in ascending order.\nAnswer: i, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**5 - 560*n**4 - 10764*n**3 - 44176*n**2 + 79312*n + 113280 = 0.\nAnswer: -118, -15, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 2:01 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(-2\/43))\/k*k)\/k*(k*k\/((k*k\/(k**(-4\/3)\/k)*k)\/k))\/k assuming k is positive.\nAnswer: k**(-166\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -7*x**3\/2 + 4*x**2 - 9*x. Differentiate z(m) wrt m.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15744468.\nAnswer: 2, 3, 151, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 134150 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {l: 3, t: 13}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -63. What is the nearest to 6 in z, 0.3, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 227 = -6*f - 2*v, 4*f - 184 = -4*v. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l**23*l))))\/l*l*l**(1\/10))\/(l**(-6\/7)\/l**(-2\/57)) assuming l is positive.\nAnswer: l**(-88091\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, 2, 3\/5 in decreasing order.\nAnswer: 4, 2, 3\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 8*p. Let q = 53 - p. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (19\/(-7) + (-18)\/63). Suppose -2*s = g*n + 3*s - 236, 3*n - s - 266 = 0. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 44\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0*c**2 + 2*c + 0 + 0*c**4 - 1\/2*c**3 + 1\/20*c**5. Find the second derivative of w(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 1 j when three letters picked without replacement from drqdgjg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wzhz when four letters picked without replacement from {z: 2, w: 9, h: 8, f: 1}.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*m = -188*m + 382*m + 5, -2*y - m = 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1909 (base 12) in base 9?\nAnswer: -4140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(4 + (sqrt(152) + sqrt(152)*-2)\/sqrt(8) + 2 + -5).\nAnswer: -3*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -382920313.19 - -0.5?\nAnswer: -382920312.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -78, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avn when three letters picked without replacement from {a: 1, n: 1, z: 1, v: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*b - 45*b + 135*b + 152*b + 29*b.\nAnswer: 443*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c276 + 28?\nAnswer: c2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 43*z - 56. Let l be a(7). Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3005446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -106 and 31.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5765601 is divided by 319?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -323, -343, 9 in descending order.\nAnswer: 9, -323, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-29.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44388*k + d = 44391*k - 10, -918 = -227*k - 5*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-1) - (-160)\/30 - -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 106*s**2 - 544*s + 560. What is the derivative of z(o) wrt o?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 4*m**2 + 8*m - 7. Let o be f(5). Let s be o*30\/(-444) + 0. Which is bigger: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -119*f - 61. Let q(m) = -55*m - 30. Let t(h) = -13*q(h) + 6*y(h). Give t(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/60 - y**4\/12 + y**3\/3 + 2*y**2. Let q be h(9). Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 196 + 148 = 0. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6 + 14 = 0, 0 = -4*k - r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3266837 divided by 1\nAnswer: -3266837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-13))**(2\/85)*(u*u\/(u*u**12*u))\/(u*u**(2\/3)\/u))**(-37) assuming u is positive.\nAnswer: u**(122396\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 689910327 and 7479.\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -459234*u**2 - 459238*u - 4 = 0. What is u?\nAnswer: -1, -2\/229617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -630512?\nAnswer: 9\/630512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 0*m - 17 + 101 = 0. Solve m*p - 9*p - 3 = -2*i, -3*p - 3 = -i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66426.456 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 7*v + 1. Let p be k(7). Let s(b) be the first derivative of 1\/14*b**4 - p - 2\/7*b - 2\/7*b**3 + 3\/7*b**2. Factor s(q).\nAnswer: 2*(q - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b - 36*b = -68*b - 15. Let u(o) = 2*o**3 - 5*o**2 - 10*o - 11. Let d(r) = -r**3 + 3*r**2 + 7*r + 7. Calculate b*u(z) - 8*d(z).\nAnswer: -2*z**3 + z**2 - 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 0. Suppose 3*s + 3*y = -g, -y - 10 = y. Suppose 0 = s*r - 4 - 5. Solve r*n + 16 = 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.69697ms in nanoseconds?\nAnswer: 1696970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**6\/150 + s**5\/50 - s**4\/20 - 10*s. Determine d, given that y(d) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90591739?\nAnswer: 7, 1848811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 330 = -1511556*j + 1511561*j, 0 = -15*f + 4*j - 264 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/32)*n*n\/n**(-3\/2)*n*n**(1\/2))\/(((((((n\/n**2)\/n)\/n)\/n)\/n)\/n**3)\/((n**(-2\/9)\/n)\/((n**3*n)\/n))) assuming n is positive.\nAnswer: n**(2519\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/10 + n**4\/12 + n**2 - 3*n. Suppose 3*w + 4 = w. Give t(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165 + 271. Let l = q + -109. Which is the closest to 2? (a) l (b) 0.1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 77*t**2 - 453*t + 6689. What is l(72)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2\/4 - (46124\/(-8) + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + -3 - sqrt(1573)) + 5 - (sqrt(234) + (sqrt(234) - sqrt(234)*-4))\/sqrt(2))*-4 + -1.\nAnswer: -9 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9987 = -4*h - 2707. Round h to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40317, 80715, 121149, 161637, 202197?\nAnswer: 242847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 175084, 0, -3, -2, 2, -5, -4.\nAnswer: -5, -4, -3, -2, 0, 2, 175084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - (-42)\/224*52. Which is the nearest to 0.1? (a) -6 (b) s (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wciciiiuaewe. What is prob of sequence cwuw?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {s: 1, k: 1, w: 3, h: 3, j: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (133\/126)\/19*-4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 3:49 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 119020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 7*u**4\/24 - u**3\/2 - u**2. Let t(s) = -2*s - 2*s - 4 + s + 7*s + 2. Give -6*j(z) + 10*t(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 70. Put -4, i, 4, -9 in increasing order.\nAnswer: -9, -4, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68843 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.9 and 0.0179.\nAnswer: -6.8821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107 - 3b?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -20025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-6)*k*k*k**(-2)*k*(k**0*k)**13*((k\/(((k\/k**(-1\/2)*k)\/k)\/k))\/k**(2\/25))\/((k\/(k*k**(-3\/8)*k))\/k**(2\/7)) assuming k is positive.\nAnswer: k**(13063\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*h - 4*f, -15 = 3*h - 9*f + 12*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943410759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54406\/3 - -18136. Suppose l*j**3 + 0*j**4 + 4\/9*j**2 + 0*j - 2\/9*j**5 + 0 = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*g - 82*g + 35*g)*((1 + 4 - 4)*(9*g - 103 + 103) + g - 2*g - g).\nAnswer: -77*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j + 2*j - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/50 and -52\/525.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16715*y**5 - y**4 + 2*y**3 + 14778*y wrt y?\nAnswer: -334300*y**3 - 12*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1122 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007754 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*b + 16, -2*b + j + 12 - 1 = 0. What is the units digit of b*1 - (-8 + 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**5\/5 + k**4\/4 + k**3\/3 + 2*k**2 + 2*k. Is p(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3535756717.\nAnswer: 163, 21691759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 397 and -33.1194.\nAnswer: -13148.4018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (12 - 4 - 11 - -1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162216342 + 5517.\nAnswer: 162221859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 12. Calculate the remainder when 85 is divided by p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376626.\nAnswer: 2, 3, 41, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let u be 0\/(-1) - (2 - p). Suppose u = -h, -6*b = -b - h + 38500. What is b rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.769 rounded to one decimal place?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvpt when four letters picked without replacement from tpttvpptt?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c = -18*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*k - 6 + 3, -7 = 4*i - 5*k. Factor 2\/3 + j + 1\/3*j**i.\nAnswer: (j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j + z + 304 = 0, 4*j - 5*z = 304. Let y = 84 - j. Suppose 8628 = y*g + 4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(216\/176))\/(3\/(45\/10)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-97194\nAnswer: -77755.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**28*g\/g**(-10)*g\/g**(-18\/11)*g*g**(-31)*g assuming g is positive.\nAnswer: g**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 - 180\/(-54). Suppose 5*w = 2*j + 418, -o*w + 2*j = 7*j - 341. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -4647?\nAnswer: -4647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.23623 meters in kilometers?\nAnswer: 0.07523623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -66. What is the greatest common divisor of 72 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*c + 12 = 0, y - 2*c - 8 = -y. Let h be (-30)\/(-4)*-3*8\/(-36). Solve -y*w - 25 + h = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/4 - 5*y**3\/2 - 6*y**2 + 8*y + 32 = 0. Calculate y.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43.1 + 43.2. Sort 6\/11, 3\/4, p in decreasing order.\nAnswer: 3\/4, 6\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -0.06\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 = z + 1, 2*r + 10 = 2*z. Let k = z - 5. Suppose -3*b + 0*b + k = 0. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose 5*p + u - 87 = 0, 43 = n*p - u - 6. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -2, 42, 0.4 in descending order.\nAnswer: 42, 0.4, 0, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608152753?\nAnswer: 13, 89, 40433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68\/15376407 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/9 + 8\/9. What is the closest to z in -4, -2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -281, -353, -327, -161, 187, 759?\nAnswer: 1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(38)\/sqrt(2) + -1).\nAnswer: -10*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56185 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9. Suppose o*m + f + 4*f = 45, -m + 3*f - 11 = 0. Find the third derivative of -3*c**2 - 2*c**m + 5*c**2 + 3*c**4 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-138)\/12*-3*2?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 33353 = 3*o, 5*o - 16657 = -3*c + 3342. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4, -12147, -5.\nAnswer: -12147, -5, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) -1966 (c) 1\/5 (d) -3 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/5 - 3*y**3 - 7*y**2\/5 + 759*y\/5 - 378 = 0. What is y?\nAnswer: -7, 3, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*h - 71, 4*h + 2*m - 145 = -m. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-20))\/(1\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 3*w + 2*w**3 + w**3 + 0 + 0 + (-w + w**2 + w)*(-3*w + 2*w + 2*w) - 78*w - 31*w**3 + 78*w.\nAnswer: -27*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 2*w + 1. Let n be u(4). Let b = -3 - n. Suppose -5*s - 7 = 3, -4*f + 32 = b*s. Calculate the smallest common multiple of f and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*c**3 + 140*c**2 + 139 + 557\/2*c.\nAnswer: (c + 1)**2*(c + 278)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -120628 in decreasing order.\nAnswer: -3, -4, -120628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s**2 - 21*s + 4. Calculate the remainder when 347 is divided by u(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-30))\/(3\/2)*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*v + v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - -6. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12652433 (base 7) to base 15.\nAnswer: 18267e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 - ((23 - 33) + 39) - (1 + 3 + 3)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1) - (-16 - 1289 - -4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -3\/4, 118, 2\/5, 3 in descending order.\nAnswer: 118, 3, 3\/5, 2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**9*t))\/((t*t*t**(-4\/15)*t)\/t)*t**4\/t*t*t**(-13) assuming t is positive.\nAnswer: t**(-296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4 - 0. Let q(h) = -h**3 - h**2 - h + 1. What is the units digit of q(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 - 7982*r**2 + 7982*r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4906 is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, g: 2, f: 2, w: 1, i: 1}. What is prob of picking 1 i, 2 k, and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(sqrt(7) + -3).\nAnswer: -20*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {h: 4, p: 3, m: 1, v: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - f**4 - f**3)*(42*f - 47*f + f + 60).\nAnswer: 4*f**5 - 60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -734 + 4330 = 4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (22 - 8954\/330)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18614)\/(-10) - (56\/(-20))\/(-7).\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -458260053*c + 74331543 wrt c?\nAnswer: -458260053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.9 minus 1.314?\nAnswer: -41.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 11178100 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2586 and 9678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(80))\/sqrt(8))\/sqrt(5).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -5*h**3\/2 - 43*h**2\/2 + 35*h. Let q be c(-9). Let b = -16 + 39. Calculate the greatest common factor of b and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48983*d**3*q**3 + 33*d**2*q - d*q**3 - 7*q**2 wrt d?\nAnswer: -293898*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 + 3 = 0. Find the second derivative of 4*m - m + 0*m - m**l wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/4 + 8*p**3\/3 - 7*p**2\/2 + 10*p + 2591. What is x(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/3)\/(-3)*(-5)\/((-60)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*h = -c - 2, 3*h - 36 = -4*c. Let k(u) = -3 + c - u + 0 - 1. Determine k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 130\/42 + 3\/2*-2. Let g(j) be the third derivative of 4\/21*j**3 + 0 + j**2 + 1\/60*j**6 + 0*j - 19\/210*j**5 + w*j**4. Determine l so that g(l) = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from {n: 2, o: 4, d: 8, z: 1}?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/11)\/((((j**13\/j*j)\/j*j)\/j)\/j)*(j*j**4)**(3\/16) assuming j is positive.\nAnswer: j**(-1803\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*v - 34 = -97, n - 2*v - 15 = 0. Let g = -18 + n. List the prime factors of (-24)\/(-14)*g*14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 4*f**2 + 4*f + 3. What is h(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvmvmv. What is prob of sequence vm?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (180\/4725)\/((-4)\/(-6)). Put 2\/5, -1\/3, o in increasing order.\nAnswer: -1\/3, o, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9983422*k**3 + 2444230.\nAnswer: 29950266*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 760326 by 842.\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2606481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -48, -5, -114, -2, 3, 1 in decreasing order.\nAnswer: 7, 3, 1, -2, -5, -48, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29171937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 32571 = -2*l - 3074, 29509 = 2*l - 3*o. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*sqrt(192) + -5.\nAnswer: -8*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 52. Which is the nearest to u? (a) 3 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -11533503?\nAnswer: 11533505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -5, 0 in decreasing order.\nAnswer: 6, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 563401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31594 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1196*s**2 - 37*s + 252854.\nAnswer: -2392*s - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 23 = 4*r. Let t be (-305193)\/r - (6\/8 + -1). What is t rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37060 + 15\/6*2 + -8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*i + 93, 4*h - i + 37 = 161. Let r = h + -27. Solve -1 = r*u - 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -9. Let p = w - -14. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 293432\/21 + -533131\/42. Let b = a - 1281. Find the common denominator of b and -17\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31864, -63730, -95596?\n\"Answer: -31866*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnnt. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2496*k - 2499*k = -15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 217980 divided by -7785\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 6*c + 3*c + 10*c + 4*c.\nAnswer: c**3 + 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -19. Suppose -5 - 5 = -h*v. Suppose -3*d + 75 = 4*c, v*c + 39 + 25 = 2*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = z - 19*s - 23, -5*z - 4*s + 220 = 0. Let v = 493 + z. List the prime factors of v.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 2*t + 4. Let k(g) = -g**2 + g. Let p(r) = -3*k(r) + s(r). Suppose 4*c - 100 = -c. Suppose -5*b + 5 = -c. Determine p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/4 + w**3 - 5*w**2\/2 + 2*w - 3. Let z be s(-4). Solve 5*d + 1 = z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1120.5 and 2.\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(528) + (sqrt(528) - 1*sqrt(528)*3 - sqrt(528))))\/(sqrt(768) + (sqrt(768) - 1*(2*sqrt(768) - sqrt(768)))).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/7 + 16*x\/7 - 418\/7 = 0. What is x?\nAnswer: -19, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61159 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/81)\/(74\/333)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122 - -202?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 997869.1 nanometers in millimeters?\nAnswer: 0.9978691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -258*y + 55*y + 3177. Solve 59 = -y*i - 43 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 - 2) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkcmamczcmmmammcamca. Give prob of sequence mckz.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(4 + 56\/(-21)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 7 in ascending order.\nAnswer: 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f + 5*z + 1, f + 2*z + 2 = 0. Let k = f + -6. Find the first derivative of -2*u - u + k*u - 5 + 3 wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 - 3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*l - 24, -l + 4 = -2*m. Let f(n) = -n**2 + 4*n + 1. Let x be f(0). Sort x, -3, -2, m in descending order.\nAnswer: x, -2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.98 - -0.02. Let o = v + -40.3. What is the nearest to 1 in 1.3, o, -0.5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/8 + 30\/80. Suppose 3*p = 4*p - 2*g - 87, -172 = -2*p + u*g. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:13 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5109*t - 1763*t - 1838*t = 1710*t + 17574 for t.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 9. Let u(v) = v + 21. What is the remainder when 38 is divided by u(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**4 + 8412*r**3 + 67068*r**2 + 58660*r = 0?\nAnswer: -2095, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 2 - 106*k**2 - 5*k**4 + 104*k**2 + 7*k**4 to c + y*k**3 + f*k**2 + x*k + w*k**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -342292*o**2*r**2 - 7*o**2*r + 89*o**2 + 14*o + 122 wrt r.\nAnswer: -684584*o**2*r - 7*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 15*x + 17*x - 29*x. What is the highest common divisor of 2637 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**5 - 306*j**4 - 1179*j**3 - 276*j**2 + 1764*j = 0. Calculate j.\nAnswer: -98, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8b7 (base 16) to base 4.\nAnswer: -23202313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 372 and 6?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let z(s) = 25*s - 1. Let l(d) = -22*j(d) - 2*z(d). Let r = 618 + -619. Let p be l(r). Calculate the highest common factor of p and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*w = 2, -17*w - 11 = -c - 14*w. Solve -3*q = -5*l - 2, 0 = l + l - c*q + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 293040141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a**4\/a)\/a)\/a)\/(a\/(a\/(a\/(a\/(a*a**(-2\/3)*a))))))\/(a*a*a\/((a**(-2\/11)\/a)\/a)*a**5*a)*((a*a**4)\/(a\/(a*a\/a**8*a*a)))**(1\/23) assuming a is positive.\nAnswer: a**(-314\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927187 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.9471 and -256?\nAnswer: -1266.4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 5*c**2 + 3*c + 74*c**4 + 5*c**2 - 9 - 4*c to k + r*c**4 + z*c + w*c**3 + j*c**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 18*y**2 - 33*y + 5. Is 5 a factor of v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024621913?\nAnswer: 7, 11399, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rryrgbgbrgy. Give prob of sequence rrg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 1 - (-321)\/3. Suppose l = -5*h - 5. What is h rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**7\/168 - v**6\/30 - 3*v**5\/80 + v**4\/12 + v**3\/6 - 18*v. Suppose l(b) = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgxogxgiggd. Give prob of picking 3 g and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-10) + 1083\/120 and 35\/1008*100*(-12)\/90.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1182 - -1186. Solve 920*f = 919*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(sqrt(7)*-1)**2 + 0 + (1*(sqrt(567) - sqrt(567)*-2) + 0 + 1 + sqrt(567) + sqrt(567))**2.\nAnswer: 90*sqrt(7) + 14138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 + 12*i + 7. Calculate t(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.001, -4, 0.1, -5 in ascending order.\nAnswer: -5, -4, -0.001, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9094 is divided by 182.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -4*o**2 + 6*o - 101. Let x(v) be the second derivative of 7*v**3\/6 - 5*v**2\/2 + 2*v. Determine 5*l(s) + 6*x(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 11. Let l = 1 - n. Suppose 2*f - i - 8 = 0, 2*f - f + l*i = 4. What is the lowest common multiple of 1 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -17. Let m = 18625753\/72435 - 20\/4829. Let b = -257 + m. What is the closest to a in b, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, d: 5}. Give prob of picking 1 u and 3 d.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 508*g + 804*g + 111*g + 514*g - 349*g in the form b + f*g and give f.\nAnswer: 1588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 632010?\nAnswer: 631660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 2308445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46633 - -46635. Factor -20*n - 14 - 50\/7*n**w.\nAnswer: -2*(5*n + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -252 - -503\/2. Suppose 25 = -2*y + 5*o, -3*y = -4*y + 5*o - 25. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 30015*s**2 + 805. Let g(d) = 112*d**2 + 3. Determine 805*g(m) - 3*o(m).\nAnswer: 115*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10. Let p be (56 - -1)*(f + -3). Calculate the remainder when 12\/18*p\/(-2) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8405947.\nAnswer: 11, 787, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -77, -158, -239, -320, -401?\n\"Answer: -81*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 19151*p + 44. Is n(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1724094*q - 45650 = 1724644*q for q.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 - (4 - (6 + -1)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 721 - 1369. Let t = -295 - a. What are the prime factors of t?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471*q - 237*q - 236*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131576642*b**3\/7 - 137027234*b**2\/7 + 786720*b - 8064 = 0. What is b?\nAnswer: 168\/8111, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -21*q**5\/20 + 20*q**2 + 20*q. Differentiate o(i) wrt i.\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 1. Let z(f) = 69*f**2 - 1. List the prime factors of z(q).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -158145*k*u**2*x + 2*k*u**2 - 2*k - 2*u**2 - 841106 wrt x?\nAnswer: -158145*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9448512, 18897005, 28345496, 37793985, 47242472, 56690957, 66139440?\nAnswer: 75587921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(209)*-3 - sqrt(209))\/(sqrt(11) + (3*sqrt(88))\/sqrt(8)) + 0)*-2.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**3 + 6*n**2 + 5*n - 13. Let d(k) = k**2 + k. Let x(l) = 5*d(l) - s(l). Let g = -7 - 2. Let p(f) = 3 + 0 + f**3 - 3*f**3. Give g*p(i) + 2*x(i).\nAnswer: 2*i**3 - 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 1:27 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16045043 rounded to the nearest 10000?\nAnswer: 16050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3172 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:09 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4637000 to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -31.\nAnswer: -31, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*t - 30, 0 = 3*t - 5*c + 4 + 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/131530 and 52\/65765?\nAnswer: 131530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 29. Determine w(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (6\/(-168)*-268)\/(-1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424028 and 598?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(6\/11)*i*i)\/i*i)\/i)**(4\/9)*i*(i\/i**(-23))\/i*i\/((i\/(i**(-21)\/i))\/i) assuming i is positive.\nAnswer: i**(409\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**(-3\/26))\/m))\/m)**(-7)\/(m**(-4\/25))**4 assuming m is positive.\nAnswer: m**(-109\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32024451 rounded to the nearest ten thousand?\nAnswer: 32020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/15510)\/(-17 - (-212)\/12). Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 + 226 - 914 + 233 + x**2 + 230.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -18. Let g = -5.4 + 1.4. Let t = g - -3.9. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18769 - -18771. Let p = 0 + -0.2. What is the nearest to p in 5, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 18, -2, -342, 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1737134kg to tonnes.\nAnswer: 0.0001737134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/((-1233)\/189882).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m + 2. Let f be j(5). Let r(n) be the first derivative of 8*n**2 + 67. Let a(t) = -3*t. Let i(b) = f*r(b) + 11*a(b). Determine i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/12 - 11*f**3\/6 - 4*f**2 - f. Let v be (-2)\/(-5) + -47*5\/25. What are the prime factors of a(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -30. Which is the closest to -1? (a) -2\/7 (b) w (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64572465 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:13 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2560552846 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (5 - -18)) + 2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042699 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00509 and -110?\nAnswer: -0.5599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/69072 and -43\/46554528?\nAnswer: 46554528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2 - (-18 - -14). Suppose -4*t + 152 = 3*y, -i*t + 22 = 7. Suppose 3*v = -5*p + y, -2*p = 2*v + 3*v - 29. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511951.5 litres in millilitres?\nAnswer: 511951500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -100, -207, -324, -457, -612?\n\"Answer: -t**3 + t**2 - 103*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 639 + -681. Suppose h = 2*h - 103. Let v = o + h. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85096.1*-0.06.\nAnswer: 5105.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 1883*z - 13280. Calculate d(7).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387 + 149 = 119*p. Let m = -13.91 - -14. Which is the biggest value? (a) p (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, l: 3, c: 3, k: 8}. Give prob of picking 1 l, 1 e, and 1 k.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4521523 rounded to four decimal places?\nAnswer: 1.4522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -17. List the prime factors of (-540)\/(-28) - l\/7.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 3. Let w be y(4). Let q(p) = 3*p + 1. Give q(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 210.09?\nAnswer: -1680.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 2 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 119\/(-77) - 13\/((-143)\/6). Which is smaller: 19\/102 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 8 + -16 - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 114645178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66757*g**5 - 6*g**4 - 22*g**3 - 40*g**2 - 572126?\nAnswer: 4005420*g**2 - 144*g - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2285201 and 4.\nAnswer: 9140804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 395, 1055, 2151, 3677, 5627, 7995, 10775?\n\"Answer: -u**3 + 224*u**2 - 5*u + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -17*v - 21. Suppose -3*a - a = -5*z - 19, -a - 4 = 0. Does 7 divide h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3949 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 5*t**2 - 5*t + 2. Let q be u(-6). Let l(v) = 2*v**2 - 6*v - 3. Is l(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 80920 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (24 - 18 - 38) + -22?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19954783 is divided by 552.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/5*s**2 - 38\/5*s + 2\/5*s**3 - 68\/5.\nAnswer: 2*(s - 2)*(s + 1)*(s + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82060 - 81999. Let m = -249 + 554. Calculate the highest common divisor of m and z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z + 17. Does 5 divide j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -670, 567, 0, 2 in decreasing order.\nAnswer: 567, 5, 2, 1, 0, -670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*x**6 + 563855*x**5 + 1711*x**2 - 71089*x.\nAnswer: -4320*x**3 + 33831300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 119 + 129 = 2*f, -124 = -f - 2*p. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -201 - -214. What is the remainder when 4\/(-10) - 234\/(-10) is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -2, 4, -1\/3, -1 in increasing order.\nAnswer: -2, -1, -1\/3, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5 = -5*d, -165 + 155 = -4*z + 3*d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 64 = 7*a. Suppose y = 3*r - 12, 3*r + r + y = a. Solve 0*n + 2*n = r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b81556 (base 16) in base 11?\nAnswer: 689aa21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-182 - 319 + 182)*(4*s - 6*s + 3*s)*(1 - 3 - 1) + 4*s - 2*s - 4*s)*(3*s**2 + 2 - 2).\nAnswer: 2865*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104343*c - 80037*c - 40591*c.\nAnswer: -224971*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + a - 14 + 5 = 0, 0 = -2*b - 4*a. Let k = 9 + b. Suppose -6*w + 20 = -5*w. What is the remainder when w is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -3. Let v(q) be the first derivative of -q**4\/4 - q**3 + 5*q**2\/2 + 8*q + 11. Let g be v(-4). Solve -g*i + 32 = -5*b, -i - b + 19 = -t*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153\/(-561)*11*-21 is divided by (-92)\/(-6) - 4\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuxuu. What is prob of sequence uu?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1704 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -3*c - r + 1169, 0 = 2*c - r - 565. Suppose 2*p - 1010 = -2*i, -c = -p + 4*i + 215. Suppose -4*u + p = 3*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 4*f - 6. Suppose 0*m + p + 69 = m, -3*m + 206 = -2*p. Calculate the remainder when m is divided by s(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 + -10 - -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002652 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a factor of 153061401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z + 18. Let d(q) = q - 8. Let r(h) = -5*d(h) - 2*s(h). Let c(t) = 5*t + 7. Let f be -1*138\/12 - (-1)\/2. Give f*r(k) + 6*c(k).\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -27*s**3 + 2*s + 8. Let r be c(3). Let h = r - -724. Suppose 0 = m + 3*m - 12. Calculate the smallest common multiple of m and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198066803?\nAnswer: 11, 18006073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-84)\/(4 + 3)) + 19\/1254*979\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 21*j**2 + 51*j - 39. Let m(u) = 1. Let c(i) = a(i) + 3*m(i). Factor c(x).\nAnswer: 3*(x + 3)*(7*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 410*c**2 + 4982*c - 92. What is w(-13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 2. Let t(b) = b**2 + b + 1. Let v = -1 + -2. Let x be t(v). Let u(w) = -w + w - 3 - 4*w + x. Calculate 11*m(g) + 6*u(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-12 + 30 - 7)*((3 + 0 - 4)*(-1 - u + 1) + u - 3*u + 4*u - u + 0*u + 2*u + (4 - 1 - 1)*(-u + 6*u - u)) to the form m + t*u and give t.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247 - 244. Let k(s) = s - 95*s**2 + 95*s**2 + 23*s**v. Determine k(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17*b - 24. Let m be u(-3). Suppose 0 = -7*v + 43 + m. Suppose v*w = 8*w - 3640000. Round w to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, 1, -39, 75, 0?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -485748 or -485747?\nAnswer: -485747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -52212 - -241?\nAnswer: -51531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(30)*-2)\/sqrt(6).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20943890?\nAnswer: 2, 5, 11, 19, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 269100 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*q - 5*p - 5, 2*p - 6 = 0. Let k = 15 - q. Solve 3*w - k = -0*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: c4500 (base 13) to base 5\nAnswer: 42233430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25783439 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2\/3 (c) 174\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2888315 and 1195.\nAnswer: 2888315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 64*i**2 - 7*i + 1. Let d(f) = -63*f**2 + 9*f - 2. Let y(m) = 2*d(m) + 3*l(m). List the prime factors of y(1).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(10\/2 - -4) - -1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13903 or 17416?\nAnswer: 17416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 16818*n - 66. Let a be d(-3). Let g be (-2)\/((1 - -3)*-1)*a. Round g to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -94, -142, -190, -238, -286?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + -294. Let x be ((-12)\/(-7))\/((-56)\/t). Solve -3 = -x*r + 9*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*b = -3*z - 494, 0 = 5*b - 62800*z + 62797*z - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**0)**(-40)*(z\/(z*z\/(z\/(z**8*z))))**(2\/11) assuming z is positive.\nAnswer: z**(-898\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 250600 + -250594.29988. Let w = 93.3 - 99. Let j = z + w. Round j to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ee (base 16) in base 7?\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144.004 + 632618.996. Let h = i + -632762.98200094. Let t = h + -0.018. What is t rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 29*r**2 + 28*r - 64. Give f(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/11400 and -83\/24.\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 11. Let r(k) = 4 - k + k - 2*k**2 + k**2. Let b = -47 + 30. Let p(q) = b*r(q) - 6*s(q). What is the first derivative of p(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*2*1 + (-3*2*sqrt(112) - sqrt(112)))**2*1.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.085 - -1.915. What is the closest to -1 in s, 1\/2, -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 6 = -p + 3*g, -2 = 3*p - 5*g. Let v(m) = 10 - 43*m**2 + 49*m**2 - 4*m - 20. Does 17 divide v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 16*r + 22 - 107 + 30 + 28.\nAnswer: -16*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/7))**(-2\/97)\/(h**(-1)*h*((h*h**(-2\/7))\/h*h)\/h*h))\/((h\/(h**(2\/3)\/h)*h**(-1\/3))\/(h**0*h)**(1\/88)) assuming h is positive.\nAnswer: h**(-103337\/59752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 147, 261?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -11.8. Let x = 0.6 - -10.6. Let l = w - x. Is 3 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*v = 8, -l - 59*v - 4 = -62*v - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let m(y) = 35*y + 100. What is z(m(w))?\nAnswer: 1225*w**2 + 7000*w + 10000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-17)\/(g\/(g*g**0*g))**(-35) assuming g is positive.\nAnswer: g**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5*p**2 + 12*l**2*p**2 + l**2*p - l*p + 12*l + 6*p**2 wrt l?\nAnswer: 40*l**3*p**2 + 24*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5585964 minutes in milliseconds?\nAnswer: 33515.784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 2. What are the prime factors of s + (0 - (-1 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z + 2. Suppose -20 = -r + 6*r. Let i be b(r). Suppose 138 - 18 = 3*h. Calculate the highest common divisor of h and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -23. Put 7, 2, u in decreasing order.\nAnswer: 7, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311 by -3.\nAnswer: 311\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 784?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 180, -1615 in decreasing order.\nAnswer: 180, 5, -1615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-5)*(-4 - 266\/(-84)). Let c*k + 4\/3 - 2\/3*k**2 = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -13. Suppose -m*k = -p + 16, -2*p - 4*k + 40 = -2*k. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40 + 134 + 7)*(4*a + 0*a - a) - 2*a - 4*a + 3*a.\nAnswer: 540*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -6, 1, 3, 6 in decreasing order.\nAnswer: 34, 6, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -18985.88966?\nAnswer: 18985.48966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 300 + -1499\/5. Factor 0*q + n*q**2 - 1\/5.\nAnswer: (q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4 + 1350*x**3 + 4095*x**2.\nAnswer: -5*x**2*(x - 273)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 10:35 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 195*x**5 - 13758*x**4 - 134817*x**3 + 1192236*x**2 - 2106468*x + 296352 = 0.\nAnswer: -14, 2\/13, 3, 392\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276 + -277. What is the second smallest value in 3\/7, 0.03, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -23*s**2 + 3*s + 3. Let a(c) = 27*c**2 + 134 + 137 + 110*c**2 - 17*c - 288. Let w(h) = -6*a(h) - 34*l(h). Let k(j) = 4*j**2. Calculate w(k(n)).\nAnswer: -640*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n + 2*b, n - 15 = 8*b - 3*b. Let z be ((-24)\/(-16))\/(3\/(-8)). Sort n, z, 1 in ascending order.\nAnswer: z, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let q(x) be the second derivative of x**7\/840 + x**4\/6 + 2*x. Let t(y) be the third derivative of q(y). Calculate g(t(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417 divided by 5.\nAnswer: 417\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -324186 + 94893. Let a = r + 229292.863921. Let l = a - -0.136. What is l rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31577295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/139 - -272\/417. Let u(r) be the third derivative of 0*r + 0 + 1\/6*r**4 - o*r**3 + 4*r**2. What is the derivative of u(f) wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -1393.\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-8) + 1\/4. Suppose k - 8 = -3*k, 0 = 5*r - 2*k + 4. Sort u, r, -2 in increasing order.\nAnswer: -2, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3248*y - 3718*y - 940 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -122*d**2 + 5*d. Suppose -5*o - 526 + 551 = 0, 15*l = 2*o - 130. Let b(a) = -183*a**2 + 8*a. Calculate l*i(c) + 5*b(c).\nAnswer: 61*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1705)\/30)\/(-31) - (-4)\/24. Let n(z) = -23*z + 49. Calculate n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -5 - (-23 + (2 - 1) + 8 + -20).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130149 is divided by 129072?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 15 + 6. Let w be 0 + 33 - (1 + -1). Calculate the highest common divisor of v and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 (base 10) in base 4?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-4) + 458\/316. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3 = -3*a, 3*l + 4 = 4*a + l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 14*x**2 + 29*x + 44. Give m(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1565*z - 193. Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d - 13*d - 32*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = -19*s + 10*s. What is the tens digit of ((-78)\/6 + 2)*(s + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**4\/11 - 12*u**3\/11 - 14*u**2\/11 + 12*u\/11 + 16\/11 = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 207502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86995.\nAnswer: 5, 127, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 9:23 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -7*a**6\/360 + 3*a**4\/4 - 3*a. Let x(w) be the third derivative of p(w). What are the prime factors of x(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10695080 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6300\/525*2\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 3*m, 5*n + 5*m = 16*n - 538 + 552 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -d + 2*d. Let h be (-1)\/2 - (-258)\/4. Let b = -47 + h. Calculate the remainder when d is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6745, -14299, -22627, -31729, -41605, -52255?\n\"Answer: -387*b**2 - 6393*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 17 = -3*z - 200, 5*z - l = -313. Let d = z - -66. Calculate the highest common factor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*d = 190*d + 468 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -15. Suppose -t - 2*p = 6, -5*t + 4*t - 5*p = 0. Let r = 22 + t. Calculate the smallest common multiple of v and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 4*u - 2. Let x(m) = -m**2 - 1. Let y(h) = 7*h**2 - 5*h + 1. Let l(v) = -3*x(v) - y(v). Determine -4*l(q) - 5*z(q).\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 18. Let m = -164 + 176. Calculate the least common multiple of 1342 and o(m).\nAnswer: 12078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and (-6)\/(-9) + (325390\/(-30))\/(-13).\nAnswer: 2505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 12:34 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -13, 2, 1\/45?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 249912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + t**3 + 0*t**3 + (-3*t**2 + 4*t**2 + t**2)*(-5*t + 0*t + 0*t) - t**3 - 3 - 4*t**2 + 4*t**2.\nAnswer: -10*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 15\/2*m - 6*m**2 - 3\/2*m**3 = 0 for m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 58?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162697?\nAnswer: 19, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10681 divided by -258\nAnswer: 10681\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*i - 10 = -76*i. Solve i = -n - 0*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 430776 and 0.19?\nAnswer: 81847.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/4 - 27\/(-12). Suppose 139 = w*p - 133. Is p\/(-12)*(-3)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + j - 2*j)*(-1 + 4 - 1).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 10*m**2 - 41*m + 29. Let f be p(13). Solve 0 = -4*a + 17 + f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 10339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375945925 to the nearest integer?\nAnswer: 19389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**24\/w)**17)**39 assuming w is positive.\nAnswer: w**15249","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8955, -70616, -237985, -563916, -1101263, -1902880, -3021621, -4510340?\n\"Answer: -8809*k**3 + 2*k - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v**2 - 30*v + 147. Let m be q(9). Which is greater: 437 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2525 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/5430 and 41\/543.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -0*s, -339*l + 336*l - 4*s = -30 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k = -20. Suppose -d + 10 + 27 = -4*o, 3*o = 3*d - 93. Let r = 54 - d. Solve p - r = -k*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/43 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwqkkkwkqkwkwqdqqqqk. Give prob of picking 1 d, 1 w, and 1 k.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 9*m**2 - 10*m - 9. Suppose 14*f + 120 = 26*f. Let t be ((-24)\/f)\/((-24)\/(-80)). What is x(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:05 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 455 + -457.744. Let f = x + -0.256. Which is the smallest value? (a) -5\/6 (b) f (c) -1.1 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 5*i - 2*i)*(-1 - 20 + 2)*(0 + 7 - 3).\nAnswer: -152*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220220020 + -12?\nAnswer: -220220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:42 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4681570\/3825)\/(56\/(-6)). Let s = -5674\/357 - b. Let g = 538\/5 - s. What is the common denominator of -35\/2 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-10)*1\/2. Suppose 0 = -2*q + 2*x + 24, -o = 7*x - 4*x. Solve -3 = -4*i - q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/2 + 1499*w\/4 + 1505\/4.\nAnswer: -(w + 1)*(6*w - 1505)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (4 + sqrt(128)) - sqrt(2) - sqrt(16)\/(sqrt(8)*4).\nAnswer: -33*sqrt(2)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 578. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000159874 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -13, -1\/3 in decreasing order.\nAnswer: 18, -1\/3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y + 2 + y + 23191*y**3 + y**4 - 23193*y**3 - 4*y**2 as l*y + f*y**2 + s + w*y**4 + c*y**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 153.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 38262 = l, 0 = -5*l - 65*m + 68*m + 191344. What is l rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 2\/(-8)*-4. Solve -4*t + 3*v - y = -t, -5*v + 33 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 66\/120171025 and 54\/3575.\nAnswer: 1321881275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -596, -660, -780, -962, -1212, -1536, -1940, -2430?\n\"Answer: -x**3 - 22*x**2 + 9*x - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132 take away 0.106?\nAnswer: 3131.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 6. Let o(h) = -1. Let m(q) = 6*o(q) - w(q). Let v(r) be the second derivative of 0 + 1\/6*r**3 + r + 0*r**2. What is m(v(k))?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Let q = 1976 - 1971.996. Let u = q - j. Round u to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from {u: 1, s: 2, m: 1, p: 3}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/5339890 and 49\/533989.\nAnswer: 5339890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + b**2 + b - 2. Let d be n(2). Let w(l) = -l**3 + l**2 + l - 23. Let r be w(0). Let i = d - r. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*h - 234*h = -2736. Suppose -57*v = -h - 684. Solve 5*l - v = -4*m, 2*l = -l - 2*m + 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**3 + 19. Let z(m) = -m. Calculate z(v(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89531 and 322525?\nAnswer: 297690575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1 - (26 - 91077) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/3)\/t*t\/((t\/t**6)\/t*t))**(2\/25) assuming t is positive.\nAnswer: t**(38\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 - (0 - (1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2 - (-15)\/(-6)). Suppose -3*v + 1 = -n. Let k be (-4)\/(v*(-5)\/5). Solve -4 = k*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -26, -32, -38?\n\"Answer: -6*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 9:05 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.8 + -9.757. Let t = v - 0.04299912. Round t to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4234*u**2 - 149*u. Let h(l) = -17*l. Determine t(h(c)).\nAnswer: 1223626*c**2 + 2533*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*q**4 - 610*q**3 + 1346*q**2 + 2*q - 12 wrt q.\nAnswer: 1032*q - 3660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 4*l - 343. Let i be l + -4 + 1 + 2. Let z = i + -21. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25615 - -25624. Suppose 2*r - 27 = -5*u + 22, -2*u = 3*r - 46. Let k = r + -3. Calculate the smallest common multiple of s and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 + 4*t**2 - 5*t - 2. Let y be w(7). Calculate the least common multiple of -3*2*(-6)\/y and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1765364 - -0.08?\nAnswer: -0.0965364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Suppose -u*a = 3*a. Let t(v) = -67*v + a + 2 + 65*v. What is t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16510 + 16522. Solve -2*z - 4 = -t + 3, 4*t - n = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*b**2 - 3)*(3*b + b**3 - 3*b) + (7 - 7 - 9)*(-5*b**5 + 5*b**5 + 4*b**5 - 2*b**5 + 7*b**5 - b**5 + (2*b - b - 3*b)*(-2*b**4 - 4*b**2 + 4*b**2)).\nAnswer: -110*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 0. What are the prime factors of 24\/2 - s\/(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 84 = -5*u. What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/5)*j**(3\/7)*j)\/(j**7*j*j)**(-40) assuming j is positive.\nAnswer: j**(12671\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19, 33, 53, 79, 111?\n\"Answer: 3*y**2 + 5*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/19 - 2002*n**2\/19 + 466334*n\/19 + 17641074\/19 = 0. What is n?\nAnswer: -33, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + (4 - 3 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 191041297 and 1063.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2686 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7027 <= -7020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10500)\/735)\/(((-27)\/945)\/((-3)\/(-15)))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 2*g - 2. Let v be b(2). Let p(h) be the first derivative of -h**4\/2 - 4*h**3\/3 - 3*h**2\/2 + 182. What is p(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097885 to the power of 1\/2, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*v**3 + (4*v**2 - 3*v + 3*v)*(-3*v + 4*v + 0*v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in 4, -0.01, -5, -3, -8, 102?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b - 5. Let f(g) = -18*g - 22. Let r(l) = 6*l + 7. Let x(q) = -3*f(q) - 10*r(q). Let m(p) = 5*o(p) - 6*x(p). Give m(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*l + 892, -4*h + 8 = -0*h. Suppose a = 6*a - l. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 350 - 189. Let s be (-9)\/6*(2 + 29*2). Let n = s - -113. What is the highest common factor of j and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 4660*x**2 - 2352766*x - 270774504.\nAnswer: 2*(x - 2772)*(x + 221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -62\/17 (c) 5 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10 + 9)*-2*(-618255)\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/2*(-6*(-10)\/(-135))\/(292\/438)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 52*i**2 - 5*i + 273. Let n be d(52). Sort -5, 3, 1, n, 2 in descending order.\nAnswer: n, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 7508*g**3 - 85571376*g**2 + 188991940544*g - 127733580071680.\nAnswer: 2*(g - 1892)**3*(g + 9430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 312.36057 milliseconds?\nAnswer: 0.000003615284375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 45, 65, 85, 105, 125?\n\"Answer: 20*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/170469 and 109\/8742.\nAnswer: 340938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**2 - 6*y + 2. What is the remainder when 85 is divided by m(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23322100859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-354)\/11 - (-2)\/11. Let f = i + 37. Suppose f*p + q - 25 = 0, -3*p - 4*q + 44 - 12 = 0. What is the remainder when 37 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -146946\nAnswer: -1\/2578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 986.2 - 987. Which is the nearest to -20? (a) 1 (b) 1\/4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 2\/1)\/1. Suppose -2*u = -v + 3*u + s, 2*u = 0. Suppose -11 + v = -4*h. Solve -a + 0*a - h = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16\/(-72) - 364\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/6)\/1)\/(-9*42\/(-3780))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**7\/42 - 7*x**6\/72 - 2*x**3 + 19. Let b(v) be the third derivative of d(v). What is the third derivative of b(j) wrt j?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 16*g**3 - 344*g**2 + 349*g + 21. Let t(a) = -21*a**3 + 459*a**2 - 465*a - 27. Let i(b) = 9*d(b) + 7*t(b). Determine c so that i(c) = 0.\nAnswer: 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*i**2 + 6*i**2 - 2475 + 13*i**2 to the form x + t*i + y*i**2 and give x.\nAnswer: -2475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8351115 to the power of 1\/2, to the nearest integer?\nAnswer: 2890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - m - 1. Let l be b(-2). Let a = 2.01 + -2. Let i = a - -0.49. What is the third biggest value in l, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 36 = 3*w. Suppose -6*k = -w*k + 6. Suppose 5 = -2*q + 3*i, 13 = 2*q + i + k*i. Solve 4*f = -5*p - 40, 0*f = -3*f - q*p - 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 7.94, -5\/6, -5, -1\/4 in descending order.\nAnswer: 10, 7.94, -1\/4, -5\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 11:54 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 8 (b) -3 (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (41 + -39 - -21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**2 - 3*y**2 - y**2 to the form o + z*y**2 + x*y and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9}. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 220*g + 1340. Give z(6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2367011\/16 + -148253. Let q = z - -316. Find the common denominator of -25\/36 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13173790 and 3020?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Let n(o) = 2*o + 18. Let x be n(-7). Suppose s = x*z - 4 - 4. Solve -z*a = -l + 3, 5*a - 2*l = 2 - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1825, -1375, -913, -433, 71, 605, 1175?\nAnswer: 1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 3. Let a be 2\/(-4) + 38\/v. Solve 0 = -y - 2*y + a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25783114 >= 25783122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**2*p**2*t**2 - 17*b**2*p**2*t + 16*b**2*p + 3*b*p*t**2 - 7*b*t**2 wrt p?\nAnswer: -14*b**2*t**2 - 34*b**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15668*z - 8. Let o be w(-6). What is o rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 990 and 1386.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328\/574 - 819345\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/120 + l**4\/12 - l**3 - 3*l**2. Let a(y) be the first derivative of u(y). What is the derivative of a(x) wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 9*r**4 - 2*r**2 + 4*r**4 + 0*r**3 + 2*r**4 + 2*r**3 to the form d + n*r**4 + t*r**3 + b*r**2 + o*r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -123401132 (base 5) to base 3\nAnswer: -1010210211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*a - 2, 0 = -3*x + 5*a - 28 + 9. Let r be (1\/(-1))\/(x\/(-38)). Suppose -5*j + 2 = -4*f - r, 5*j - 2*f = 23. Is 13\/3 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 15) to base 6.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 161133*a - 8 = 161129*a, 0 = 7*a + 7 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, -44, 2\/7, 31?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-924 - 1686 - 100 - 2973)*(-5 + s + 5) in the form q + a*s and give a.\nAnswer: -5683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73548, 139030, 204512, 269994?\nAnswer: 335476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4493 * 0.1634\nAnswer: 734.1562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.9 - -6. What is the second smallest value in r, 4, -4\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -1 - 3) + 4. Suppose -5*h - 2 = -4*u + 13, 6 = 3*u - t*h. Do 2\/3 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -178, -181, -186, -193, -202, -213?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 27.9?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -47\/5, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 3 - (-48)\/(-26). Suppose i - 3*m + 7 = 0, i = -m + 1 - 0. Which is the closest to i? (a) y (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-392)\/2352 + (-7)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181784 is divided by 260?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1531.\nAnswer: -1531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -0.7 (b) 2\/3 (c) 13.4 (d) 143\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(-2 + sqrt(13)) - (sqrt(1573)*-3 - sqrt(1573))**2)*6.\nAnswer: -754980 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 + n. Suppose 2*m + h - 3*h = -20, 0 = -2*m + 3*h - 25. Let z = 6 + m. Calculate the remainder when 10 is divided by t(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose -8 = -f*i - 0. Let h = 11 + -5. Solve 10 + h = i*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 - 112. Let x be (d\/6)\/(14\/168) - -6. Solve -x*i - 16 = 7*m - 3*m, -3*m = -3*i + 21 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/8)*n*n**1*n**(-1\/4)*n\/n**(-1\/3) assuming n is positive.\nAnswer: n**(95\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/((-240)\/32*22\/110).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68*l**2*z + 13*l**2 + z + 571 wrt l.\nAnswer: -136*l*z + 26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2. Let b(i) be the first derivative of -i**4\/4 - i - 6. Let a(d) be the first derivative of b(d). What is a(k(f))?\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128405.96 and -0.4.\nAnswer: -51362.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 + 481. Let x be 651621\/h + (-12)\/42. Let p = x + -1935. Calculate the common denominator of 77\/10 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:26 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225 - 83 = 44*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/5*4\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 7. Suppose -237 = 3*n - 5*s, -2*s + 305 = -5*n - 90. Let i = n + 72. Calculate w(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 4*q**2 - 17*q - 29. Let c be a(-6). Is 35*20 - (0 - c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.317, 8.2, 0.4, -6\/11, -1 in ascending order.\nAnswer: -1, -6\/11, 0.4, 8.2, 8.317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 47*i - 6. Let g be u(2). Let n = g + -86. Suppose 7*c = -n + 37. Solve 0 = -c*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -26. Suppose 5*l - 3*l + 6 = 0. Let c = l + g. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270798 is divided by 3663?\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 45, 107, 195, 309?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99272.\nAnswer: 2, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*o - 105 = 18*o + 77 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*g + 12 + 12 = 0, -4*w = 5*g + 4. Suppose 0 = t + w*i - 2*i - 9, -5*t - 2*i = -53. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**3 + 12*z**2 - 6*z. Suppose 2*x + 19 = -5*c, 2*x + 19 = -4*c + 5. Let k(m) = -2*m**3 - 4*m**2 + 2*m. Calculate x*p(l) + 8*k(l).\nAnswer: 2*l**3 + 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3 + 0 - -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**2 + 72 - 51 - 21.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6\/5)*q)\/(q\/q**3)*(q**(2\/7)*q*q)**(7\/8) assuming q is positive.\nAnswer: q**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 1. Let p be l(-1). Which is smaller: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 13*r**2 + 2*r - 8*r**2 - 3 - 3*r**2 - r**2. Let d be b(-9). Suppose -i + 31 = -d. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 9*y + 2*y - 12*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3\/4))**(14\/3))**13)**11 assuming x is positive.\nAnswer: x**(-1001\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -134694, -1077648, -3637098, -8621292, -16838478?\n\"Answer: -134708*x**3 + 2*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 12:53 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -351061\/31070 - 3\/3107. Calculate the common denominator of (-1390)\/264 - (-4)\/22 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8*-2*(2 - -408). Suppose 330 = n*m - 203*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11704512 to the power of 1\/2, to the nearest integer?\nAnswer: 3421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14890 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210750 divided by -5.\nAnswer: -42150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 16.2. Let l = 0.042 - 0.112. Let a = 0.07 + l. What is the closest to a in 9, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*f*k**4*p + 45*f*k**4 - 23*f*p + 2*f - 2*p + 1 wrt k?\nAnswer: 48*f*k**3*p + 180*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5461, 10837, 16141, 21379, 26557, 31681, 36757, 41791?\nAnswer: 46789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c98 (base 14) to base 9.\nAnswer: -7151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*r = -25*r - 4431 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 2\/13 (c) -2\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 503*l - 13548. Determine k(27).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/3 + 7*k**3\/6 - 8*k**2 - 4. What is the lowest common multiple of 51 and l(0)?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11\/52, -3, -73, -5, -0.1, 2\/3?\nAnswer: -11\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 0. Let l(z) be the first derivative of 3 - 12\/5*z**5 + 1\/2*z**6 + 9\/2*z**a - 4*z**3 + 0*z + 3\/2*z**2. Factor l(p).\nAnswer: 3*p*(p - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(21 + 1656\/(-81)) - (6\/15)\/(-2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-33 + 0 - -12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + i**2 - 8*i - 8. Let x be w(-2). Which is the nearest to -0.6? (a) x (b) -0.4 (c) -5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97876 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.132 + 1.162. What is the nearest to -2\/5 in d, 2\/7, -5, 0.8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*w, -694*m + 699*m - 4*w + 21 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 112 = 22. Suppose 3*w - 7*w = 28. Let y = g + w. What is the least common multiple of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 265, 258, 247, 232, 213, 190, 163?\n\"Answer: -2*p**2 - p + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 330 = -d. Suppose 745 - d = 4*c + 4*k, 3*k = -c + 151. Suppose -c = -3*s + s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*d + 2810 - 82, -3*d + 4074 = 3*p. What is the greatest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2\/9, 4, -1 in decreasing order.\nAnswer: 4, -2\/9, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/4)\/(5\/20). Suppose t = -0*x + 2*x - k, x + 3*t + 5 = 0. Let p(o) = -5*o**2 - 3*o + 11. Let m(a) = -2*a**2 - a + 4. What is x*p(y) - 11*m(y)?\nAnswer: 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 139080 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2, u - 2*u - 3*y = -17. Let t(x) = x**3 + 13*x**2 - 8*x - 27. What is the remainder when t(-13) is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(475) - sqrt(475)*2)*-6 - sqrt(475) - sqrt(475)) + 5)**2*2.\nAnswer: 400*sqrt(19) + 15250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1\/2)))**(-2\/105)*(m**(2\/5)*m)**(-1\/84))\/((m\/m**(-2\/3))\/(m**(-2\/21)*m*m)*m**(1\/8)\/(m*m**(-1\/4))) assuming m is positive.\nAnswer: m**(703\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107612 is divided by 1016?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 14*r - 40. Give z(-7).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/1 - (-1408 + 1429)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 12*d**2 + 7*d - 10. What are the prime factors of c(-11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171684, 171683, 171682, 171681?\nAnswer: 171680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from owwqfwwoq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20\/9 + 322\/153. What is the closest to 0 in 0.1, -0.5, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16006 and 3624.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 75 = 2*r. Let w = r - -20. Solve 2*s = -s, 5*x = -w*s + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-55 + 34 - 58)*(3*g + 2*g - 4*g).\nAnswer: -158*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let w(u) = -8124*u**2. Determine w(j(a)).\nAnswer: -8124*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from ussau?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 18440028?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i + 1. Let y(b) = 6*b**2 - 13*b + 12. Let x(h) = -5*c(h) + y(h). Let j be x(7). Suppose j*w + 4*w = 8. Solve -z + w*z = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - r - 7*r + 3*r. Let x(b) = 4*b**2. Calculate j(x(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i - 1. Let l(b) = -41818*b. Calculate v(l(d)).\nAnswer: -125454*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7726527 is divided by 13118.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/2 - 63*x**4\/4 + 33*x**3 - 99*x**2\/4 + 6*x = 0. Calculate x.\nAnswer: 0, 1\/2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.38 + 118.38. Let z = -116.9 + l. Put -5, z, -0.3 in ascending order.\nAnswer: -5, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*b + 7, -3*b - 6*h + 10*h + 32 = 0. Suppose 0 = -v + b*f + 78 + 161, -2*f = -3*v + 697. What is v rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18)*1 + (-40)\/450.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10063138, -20126268, -30189398, -40252528, -50315658, -60378788?\nAnswer: -70441918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 109, 98, 83, 64?\n\"Answer: -2*y**2 - 5*y + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-24)*-3 + (5054\/(-4))\/(-19). Solve z = -8*v + 19*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1908*n**2 + 92. Let u(i) = 1908*i**2 - 138. Calculate -3*l(v) - 2*u(v).\nAnswer: 1908*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 4 (c) -4021 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -10. Find the third derivative of -9*i**2 - b*i**2 + 7*i**4 + 7*i**2 wrt i.\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 10\/29 (c) 8 (d) 1 (e) -0.3 (f) -10.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**5 + 1200*p**4 - 24760*p**3 + 171840*p**2 - 392400*p = 0. What is p?\nAnswer: 0, 6, 10, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 2022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**2 + 18*t - 9. What is w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -14. Suppose 4*x - 49 + 13 = 2*l, 40 = b*x - 4*l. Let g = 2 + 5. Calculate the lowest common multiple of g and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l + 35. Let m be j(8). Which is the second smallest value? (a) 67 (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*v = 3*r + 30, -v + 8 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2269.264, 3\/19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/3 (b) -95 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(4\/9))\/i)\/i**5)\/(i\/i**(1\/3))**(1\/24) assuming i is positive.\nAnswer: i**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -7\/5 (c) -5 (d) -3\/4 (e) 2\/109\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(13) + (-5*sqrt(1053) - sqrt(1053))**2 + 5 + ((sqrt(117) + (sqrt(117) - sqrt(117)*2))*5)\/(3*sqrt(441) + sqrt(441))).\nAnswer: -75826 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 781093273?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 1) + -4 - (-8 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (51 + (36 + -7 - 18) - 17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 506*k + 1. Let m be g(1). Let x be 3\/(-6)*4*(-9)\/6. Suppose -3*h - 2*h = 3*s - m, -x*s - h = -507. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41189283?\nAnswer: 3, 17, 19, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 5, -61, 4?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -0.4, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 300 + -222. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142417149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 20882*d + 20877*d - 13, -11 = 7*v - 3*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r - 87 + 327 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-1)\/6 - (-13)\/2. Suppose 2*p - 3*l = 4, f = -p - 3*l - 0. Sort p, -0.1, 2\/7, 2\/19.\nAnswer: p, -0.1, 2\/19, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5*q + 61 + 200, 964 = 4*m - 4*q. What is the lowest common multiple of 12 and m?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 13) in base 3?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 3. Suppose -4*y + l*y = -8. Let v = y + 13. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557373.2nm to meters.\nAnswer: 0.0005573732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870 and 406?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4298873 is divided by 50?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 37, -5 in ascending order.\nAnswer: -5, 1, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + 21)*-3*(-3)\/(-1404)\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -205 + -312530554?\nAnswer: -312531203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36843031*w**2 + 55090917*w wrt w.\nAnswer: 73686062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmm when three letters picked without replacement from mkmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) -0.3 (b) -763 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 5*i**2 - 5*i**2)*(-2*i - 2*i + 8*i) - 6*i**4 - 6*i**5 + 6*i**4.\nAnswer: -14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 10. Let n(d) = d - 1. Let c(h) be the third derivative of -h**5\/60 - h**4\/12 - 5*h**3\/6 - 9*h**2. Let l(q) = c(q) - 2*n(q). Calculate l(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*20\/(-800) - (-3)\/(-8). Let a = -7 - -7.3. What is the smallest value in w, 2\/9, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 6*d. Let z(x) = 1 + 0 - 2 + 3*x. Let w be z(1). Let r be (-20)\/w*2\/(-4). Determine m(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let b(a) = 25*a + 11. What is b(c(z))?\nAnswer: -25*z + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 27 = 11*v. Suppose -v*q + 5*q - 88 = 0. Calculate the remainder when 351 is divided by q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 10*n**2 - 17*n - 17. Suppose 833 = 65*a + 378. What is d(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -16*z - 5. Let k(c) = 7*c - 3. Let o(v) = -6*v + 2. Let t(l) = 3*k(l) + 4*o(l). Determine 11*t(i) - 2*y(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11042?\nAnswer: 2, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -36109416 and -36109417 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 10*y - 10. Determine b(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20*-1*645\/(-86).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbjb when four letters picked without replacement from jbbgbbjbjbbjbcjb?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -662, -980, -1284, -1568, -1826?\n\"Answer: u**3 + u**2 - 328*u - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 0*j**6 + 0*j**2 + 3\/56*j**8 + 0 + 0*j**5 + 0*j**7 + 1\/3*j**4 + 2*j + 0*j**3. What is the third derivative of h(q) wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 greater than -164769\/1966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -3, 0.2, -6, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16217727668 - -0.3\nAnswer: -16217727667.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 239291780 a multiple of 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**3 - 15*f**2 - 19*f + 2. Let p be k(6). Put -78, p, 2 in increasing order.\nAnswer: -78, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*i*p - 66*i*s + 2417*p*s + 1767*p wrt s.\nAnswer: -66*i + 2417*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21516753371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f = -0*f. Sort f, -1, 5 in increasing order.\nAnswer: -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/(-60))\/(-11)*78\/364.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*p = -70, 0 = 63*u + 36*u - 115*u - 3*p + 68 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2787 + 11063\/4. Let m = 619\/11 - 10735\/198. What is the common denominator of m and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.002 * -8.\nAnswer: -24.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iin when three letters picked without replacement from nniiin?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000502 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1281842\/245 - 5232. Let u = f + 96\/245. Let d(y) = -y. Let o be d(3). Which is the biggest value? (a) o (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75\/4 of a tonne?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -452*k - 2*k**3 - 1405*k - 1047*k to the form s*k**2 + c*k + o + h*k**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475163820 to the power of 1\/3, to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let y(a) be the second derivative of a**3\/6 - 127*a**2 + 281*a. Determine u(y(i)).\nAnswer: -i + 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 583 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 3*k - 1. List the prime factors of o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91972744?\nAnswer: 2, 877, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*k = 19, 2*a - k - 34 + 22 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48287389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -532165 take away -986?\nAnswer: -531179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 7982603, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*f*r**3 + 24*f*r - 91250542*f + 186*r**4 wrt r.\nAnswer: 291*f*r**2 + 24*f + 744*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 29*n**2 - 54*n + 8. Let q be l(27). Let h(o) = -o**3 + 7*o**2 + 9*o - 12. Determine h(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/3*2\/24*12.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13841 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133 + 90 + 417)*(3*i - 3*i + i**2) - i**2 + 3 + 3 - 4.\nAnswer: 639*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17d (base 15) to base 11.\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (324\/(-24) - -15)\/1 - (-5)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1022*n**2 + 16*n - 5247. Let q(h) = -2043*h**2 - 40*h + 10497. Let l(s) = 2*q(s) + 5*u(s). Differentiate l(x) with respect to x.\nAnswer: 2048*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -787 - -812. Suppose -3*u - 5*d = -10 - 33, -4*u + 5*d + 69 = 0. Calculate the remainder when j is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449575786 to the power of 1\/3, to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45 + 8425086?\nAnswer: 8425041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.19888ms to seconds.\nAnswer: 0.01919888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 325*j + 323. What is a(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350 and 96705?\nAnswer: 967050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*r**5 + 9*r**5 + 5*r**2 - 12*r**6 + 10*r**5 wrt r.\nAnswer: -1440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*q + 5*q = 14, 0 = 4*q + 8. Suppose -s = -4*j - w, 4*s + 3*j - 29 = 6*j. What is the greatest common factor of s and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19887 + -8941. List the prime factors of y.\nAnswer: 2, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -722684.\nAnswer: -722684, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*l, 6*l = l + 4*r. Solve -5*p - 5*q = 5, l = q + 7 - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -33*j - 95. Let x be k(-3). Solve 3*h + 5 = 2*h, x*h + 5 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243.86171 - -0.13829. What is the nearest to 2 in 1\/8, -4, -0.4, t?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 - 11*m + 6. Let j(g) = 7*g**2 + 21*g - 11. Let q(w) = -6*j(w) - 11*o(w). Let y(c) = -c**2 + 2*c. What is 2*q(x) + 5*y(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -416, -749, -1124, -1553?\nAnswer: -2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-10\/13)*i*i**(-19) assuming i is positive.\nAnswer: i**(-244\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:37 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.69 and 45916.414?\nAnswer: 45915.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/240 and 47\/135.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + ((1*sqrt(475) + -5)*4 + -5 + -2)**2) + 1.\nAnswer: -5400*sqrt(19) + 41626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -60*x. Suppose 3*i + 14 + 0 = -5*r, 16 = -4*r. Let w(n) = -23 - 7 - i*n**2 + 30. Calculate k(w(y)).\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5112295 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1920, 5, -1, -175.\nAnswer: -175, -1, 4, 5, 1920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212\/11*(-73502)\/(-26728).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2263, -2205, -2147, -2089?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c = -37*c. Suppose -1670 = 5*l + 5*q, 5*l - 4*q + 1529 + 123 = c. Does 4 divide 3\/((l\/(-112) + -3)*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkd when three letters picked without replacement from {d: 4, k: 3, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(2 + 9\/6). Let a be (-1)\/l - 105\/(-49). Solve t - 13 = -3*j - 0, 0 = -a*t + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.49 - 680240268674\nAnswer: -680240268673.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*x + 24, 8 = 3*x + 4*z - 0*z. Suppose 5*o - x*f + 12 = 0, -2 + 11 = -o + 3*f. Suppose 149*s = 156*s - 21. Sort -1, o, s in ascending order.\nAnswer: -1, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/18 and 51\/4140346?\nAnswer: 37263114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1216673, 2433346, 3650019, 4866692, 6083365?\n\"Answer: 1216673*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247406 is divided by 4849.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1309, 1310, 1313, 1318, 1325?\nAnswer: 1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.71373 rounded to 0 decimal places?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uummuuuumuu. What is prob of picking 3 m and 1 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17780000 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4 - 9327962*c**3 - 10876298752198*c**2 + 141393348272378*c - 130517040192216 = 0. Calculate c.\nAnswer: -2331997, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.6 (b) -54 (c) 0.5 (d) 2\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4\/4 - 1304*c**3 - 3382527*c**2\/2 + 23869720*c - 335073025\/4 = 0.\nAnswer: -2615, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c = -13. Suppose -c = -5*b + 22. What is the greatest common divisor of 56 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 5*u**4\/6 + 55*u**2\/2 - u + 24. Let g(w) = -w**2 - 6. Let a be (3 - 1)\/(102\/18 - 6). Let x = 42 - 97. Give a*j(l) + x*g(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39068479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/4 - 9*i**2. Let r(p) = -2*p. Calculate v(r(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.38, 0.5, -22.59, 2 in descending order.\nAnswer: 2, 0.5, -0.38, -22.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94\/5*a**2 + 94\/5 - 1\/5*a + 1\/5*a**3 = 0.\nAnswer: -1, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 701 + -695. Solve 12*m - 42 = -r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 76887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 223321, 223449, 223605, 223789?\n\"Answer: 14*m**2 + 86*m + 223221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 3\/22, 0.3, -1\/3, -96?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 4*v - 5*h, v = 1531*h - 508*h - 512*h - 513*h - 53 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Let h(z) = -z**3 + 2*z**2 + 4. Let a be h(n). Let c = 6 - a. What is the lowest common multiple of c and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*l - 60. Is 535*(l + 4)\/(-4 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -920675?\nAnswer: 3\/920675","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Round 379620.1833 to the nearest 10000.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -571234 + 7544363.\nAnswer: 6973129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + p - 21, -s - 4*p = -4*s + 48. Let i = -237 - -253. What is the least common multiple of s and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/374 and -30\/4811.\nAnswer: 105842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/6 - s**3\/6 - 4*s**2 - 42*s + 48. Let q(t) = 2*t**2 + t + 9. Give -2*j(v) - 3*q(v).\nAnswer: -2*v**2 - v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 13) in base 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j*j\/j**(-3\/5))\/(j**8*j))\/((j\/j**(2\/3)*j)\/(j*j*j\/(j**(-1\/15)\/j)))*(j**(-2\/21)\/j**(-5\/2))**1 assuming j is positive.\nAnswer: j**(73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 181539566*w**3 - 7313457*w + 23?\nAnswer: 1089237396*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 12*i - 17 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**2 - b**2 - 6*b**2 + b**2 - b to the form p*b**2 + q*b + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 d when four letters picked without replacement from {c: 2, d: 6, t: 1, s: 3, f: 2}?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173 - -240. Let p = z + -62. Solve 0 = s + 6*v - v - p, 5*v = s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 768854508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 664343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**6\/((g\/(g\/(g*g**(3\/4)\/g)))\/((g\/(g\/((g*g**(1\/4))\/g)))\/g)) assuming g is positive.\nAnswer: g**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + m + 3*m, -2*c + 5*m - 6 = 0. Suppose -29*g + 15 = -130. Suppose -o = c*o + 3, v = g*o + 10. What is the smallest common multiple of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 1577?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 u when four letters picked without replacement from uuouuuooouooouuu?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 129 = -5*b - y, 0 = 5*b - y - 156. What is the remainder when b is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8\/(5 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0187? (a) 0.1 (b) 3\/4 (c) 1\/22 (d) -5\/6 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278895745.\nAnswer: 5, 2399, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*q - 3*q + 57 = 0, 117 = 3*m - 3*q. Calculate the greatest common factor of m and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**6\/120 - 7*v**5\/60 - v**4\/6 - 3*v**2 + 8*v. Let f(l) be the first derivative of x(l). Calculate f(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 230, -29, -664, -1801, -3566?\nAnswer: -6085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349748430 is divided by 517?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34782 and 186?\nAnswer: 6469452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 40. Calculate the common denominator of g\/8 + 16\/(-8) and -73\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -28. Let h be ((-115)\/(-325))\/((-4)\/s). Let t = h + -2\/13. What is the common denominator of t and 18\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.25 + 1.55. What is a rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -234.09069 to the nearest integer.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (2\/(-8) - 0). Let s = 1282.5 - 1282.9. Sort t, 1, 5, s in ascending order.\nAnswer: s, t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20540232 (base 6) to base 10.\nAnswer: 604028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 8 - (29 - 23)) + -2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -816.5 + 661. Let g = 156 + k. What is the second smallest value in 4, g, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -575015.6 rounded to the nearest one hundred?\nAnswer: -575000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzx when three letters picked without replacement from xzxxo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233 + 126. Let k = d - -105. Let q(t) = -7*t + 3. Let i be q(k). Solve 0 = -4*f - 3*r - i, -4*f + 2*r = -2*r - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Let x = 61 - 245\/4. Let c = -2 + 2.2. Sort q, c, x in decreasing order.\nAnswer: q, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 - -250. Let o be 375\/(-3) - (20\/(-30))\/((-4)\/(-30)). Let d = g + o. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2391, 2389, 2387?\n\"Answer: -2*f + 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 13*p - 6*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*l - 130603 - 155*l + 410*l + 5*l**3 - 155*l + 130603.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8530733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8878 + -8875. Solve 5*q - 5*v = 40, l*q + 2*v - 19 = 4*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 15*a**2 + 0*a**2)*(-2 + 1 + 2).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39\/23 or -2?\nAnswer: -39\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + c**3 - 3 + 2)*(c**2 + c**2 + 0*c**2) - 118*c**4 - 17*c**5 + 118*c**4.\nAnswer: -21*c**5 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -86, -132, -196, -284, -402?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1681 + -8412\/5. Find the common denominator of b and -87\/310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/17 + (-12)\/6 and -1\/5?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.57 - -0.043.\nAnswer: -6.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-4*sqrt(1100)*-3 + sqrt(1100))**2 - (-1 + 0 + sqrt(1100))))*-2.\nAnswer: -371800 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 54.42.\nAnswer: 816.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 29 = 16. Suppose 5*s = b*s - 20. Let q(h) = -h + 8. Let c be q(7). Solve -s + c = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -271.98 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*o**3\/11 - 1106*o**2\/11 - 3390*o\/11 - 3150\/11.\nAnswer: -2*(o + 7)*(7*o + 15)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53228 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpnlr. Give prob of sequence rrll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + 5*(sqrt(272) + 3).\nAnswer: 17 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)*n)**(6\/25)\/(n**29)**(1\/10) assuming n is positive.\nAnswer: n**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-9))\/(18\/189). Let g = 142 + k. What is the remainder when g is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000490939 to six dps.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96646 divided by -4202.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 - 3*k - 3. Let l = 7 + -4. What is p(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 6*l**2 - 2*l**2 + l**2 + 2)*(39 + 39 + 19).\nAnswer: 485*l**2 - 388*l + 194","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -30056, 2, 3.\nAnswer: -30056, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 34385442.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from vvvmvmmrv?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 = 3. Let h(b) = j*b**2 - 3*b**2 + 3*b**2 - b**2. Let y(w) = w**2 - 8*w + 8*w. Determine h(y(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37\/2 - 485\/26. Suppose 0 = -2*k - 6, -4*a + 4*k = 5 - 29. Let t be (1 - 7\/4)\/a. What is the third smallest value in x, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 16. Let z be b(-4). Let x(w) = -w**2 + 22*w - 36. Let n be x(z). Solve -n = 3*u - u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 8*n - 2*m = 433, 2*n + 4*m = 826. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (-5 + sqrt(1088)*3)**2 - (sqrt(5100)*-3 + sqrt(51))\/(sqrt(3) + -2*sqrt(3)*-4).\nAnswer: -2131*sqrt(17)\/9 + 9810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*y**4 + 17294*y**3 - 5866056*y**2 + 664013538*y - 194791095.\nAnswer: -(y - 339)**3*(17*y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r + 15. Let f be a(0). Suppose -3*u + 2*h = 5*h - f, -15 = -3*u - 2*h. Suppose 3 = 2*v + u. Sort v, 5, 4 in increasing order.\nAnswer: v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.36864 centimeters to nanometers.\nAnswer: 23686400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -465 + 18*c**2 + 465. Let n(r) = r**2. Determine s(n(w)).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 232\/68)\/(-1). Let k = m + 31\/34. What is the closest to -3 in k, -0.2, 0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + 20 + 1 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 - 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -3. Let g be 64\/a - 10\/15. Suppose -3*z + 4*f = -0 + 1, -2*z - 2*f = g. What is the second smallest value in 2\/7, 5, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 * -0.113\nAnswer: -5.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/68750 and -23\/66.\nAnswer: 206250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(24) + 2.\nAnswer: sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000799530106 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042881505 to six dps.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 12*g**2 - 4*g - 12. Let a be l(-12). Suppose 0 = f - 41 + a. Find the second derivative of 21*o + 9*o**5 - 9*o - 6*o**f wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19\/3 + -6. Let l be ((2*(-6)\/84)\/(-1))\/1. Put -0.3, w, -2, l in descending order.\nAnswer: w, l, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09507225776 - -106.90492151224. Let o = i - 107. Round o to seven decimal places.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h + 2 = 31*h. Let k(q) = -8*q**2. Give k(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - b**4 + 5617 + 2*b - 11219 + 5618 to the form m + s*b**4 + h*b + c*b**3 + t*b**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 2*a**2 + 3. Let m be q(-3). List the prime factors of m*(0 + -1) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from txsnnwst?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 + 19*u - 1. Let x(q) = 3*q**2 - 10*q. Let i(r) = 7*x(r) + 4*z(r). Let t be i(-8). Does 11 divide t - (0 - 1)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrrff. What is prob of picking 1 r and 1 f?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139590*a - 255523 wrt a.\nAnswer: 139590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 250\/897 - -2\/69. Find q, given that -d + 4\/13*q**2 + 2\/13*q - 2\/13*q**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-963)\/(-54) + (-8 - 10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2\/2 + 6546*x + 776286 = 0.\nAnswer: -4242, -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y = -356179 + 356259 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -237, -417, -649, -951, -1341, -1837, -2457?\nAnswer: -3219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.3, 16, -1\/8, 0.5 in increasing order.\nAnswer: -0.3, -1\/8, 0.5, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000003 (base 4) to base 9.\nAnswer: 108811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10*13200\/(-11880)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1565, -18, 1\/2, -3, 14\/5, -2, 0.3?\nAnswer: -1565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -0.1 (c) -1\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8108552.\nAnswer: 2, 1013569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 12\/(-16))*1. Put j, 5, -1\/7 in increasing order.\nAnswer: j, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/604 in 2\/79, -0.3, 0.04?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, n: 3}. What is prob of picking 3 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-2) + 4)*1. Let t = -563 + 576. What is the second derivative of -2*p - t*p + 247*p**2 - 243*p**q - 6*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 434239060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3782 divided by 4984.\nAnswer: 1891\/2492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7622, -6121, -4620?\nAnswer: -3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - 35*g + 18*g + 5*g + 9461 + 5*g)*(0 + 4 - 3).\nAnswer: -2*g + 9461","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/20 and -64\/315.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 8*y + 28. Let v be 5 + -82 + -6 - (0 + 0). Let n = v - -80. Let a be i(n). Solve -5*p = w - 2 + 5, a*w = -5*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*g**3 + 15*g**3 + 36*g**3)*(g - 2 - 3*g - 8).\nAnswer: -50*g**4 - 250*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*u + 166*u - 66*u)*(7 + 2 - 5) - 3*u + 3*u + 2*u + (1 - 1 + u)*(0 + 4 - 3).\nAnswer: 791*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u. Let h(w) = 47*w. Determine b(h(k)).\nAnswer: -235*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/((-448)\/232) - (-2 + -6)\/32?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 10288820*o**2 + 13232487412864*o + 26464933670464.\nAnswer: 2*(o + 2)*(o + 2572204)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**6\/360 + l**5\/24 - l**4\/3 + 4*l. Let m(k) be the third derivative of b(k). Differentiate m(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.2, 1\/4, -276?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1008 and 486248?\nAnswer: 8752464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/1690*80\/(-48).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 38*a - 50*a. Solve s + 9 = -4*s + 4*i, -s + a*i + 7 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3)*w)\/w)**20*((w\/(w\/((w\/(w*(w\/(w\/(w**(-1\/2)\/w*w)))\/w))\/w)))\/w)**(18\/13) assuming w is positive.\nAnswer: w**(493\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2\/2 + 2635*j + 6943225\/2 = 0?\nAnswer: -2635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1384 divide 123621648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69, -112, -155, -198?\n\"Answer: -43*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-50)\/10)\/(-10)*(0 + 42). Let b be (-6 - -1) + (d - -16). What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/360*-9*20\/70.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 2*t + 2*t - b, 4*b - 376 = -4*t. Suppose 0 = 15*a - 10*a - t. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/26323134 and -7\/65586?\nAnswer: 447493278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 140\/6*(-6)\/(-5)*5. What is the tens digit of x - (4\/(-10) + (-22)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9793780788 rounded to two dps?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3909)\/(-29631) - (-6)\/8. Let b = -1\/2324 - s. Calculate the common denominator of 55\/7 and b.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 4*g. Let k be r(-2). Suppose -6 = -k*l - 3*w, 2 = -5*l + 5*w - 4*w. Suppose l = 5*o + 5*b - 395 + 65, -129 = -2*o + b. Is o a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(76)*-5)\/(5*(sqrt(4) - sqrt(100))).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1282 - 282 = 0. Suppose 2*l + 189 = -m. Let r = 759 + l. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 78*f**2 + 1435*f + 152. Determine w(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 22*v**2 + v - 17. Let u be t(-22). Let h be (-43 - u)\/(1 - (1 - -1)). Solve h*d + 5 + 3 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268612 is divided by 134306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + 4\/(-10) - 18. Let l be 2 + 5\/(10\/(-28)). What is the units digit of (-224)\/l*g\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402844 is divided by 498.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 11*s**2\/3 + 31*s\/3 + 7.\nAnswer: (s + 1)*(s + 3)*(s + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429248 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 0.2, 5\/4, 257, 70 in descending order.\nAnswer: 257, 70, 56, 5\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 4*x + 3. Let o be t(2). Suppose -o*m + 3 = -9. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.9 + -1.3. Let g = 9 + o. Round g to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.048 + 0.0022. Round r to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 434, 947, 1434, 1883, 2282, 2619?\nAnswer: 2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l - 137. Determine r(-5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-5)*(-262)\/3668.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -731, -1619, -2863, -4463?\nAnswer: -6419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 21*c - 13. Let n be u(-19). Let a(z) = z**2 - 18*z + 34. List the prime factors of a(n).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + 3*-1*(sqrt(891) + 0) + 5))**2.\nAnswer: -1944*sqrt(11) + 72315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1010, -1205, -1400, -1595, -1790, -1985?\nAnswer: -2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/(-12)*(-2 + -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 2*s. Let m(q) = 9*q**3 + 10*q**2 - 31*q + 109. Let z(f) = -m(f) + 5*u(f). Is z(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145537933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -3 (c) -1\/5 (d) 9.6 (e) 1 (f) -5 (g) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.33573 rounded to 0 decimal places?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.75 in 947, 0, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*c**2 - 541*c - 22057 wrt c.\nAnswer: 46*c - 541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 11:00 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43604385*k**3 + 8621*k**2 + 9*k - 9 wrt k.\nAnswer: 261626310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npppnwwp. What is prob of picking 2 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 20 = -h. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -22*g + 4. Calculate the smallest common multiple of p(-5) and 5.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17 + (3 - 6)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 - 56*q**2 - 17*q - 72. Let z(n) = -2*n**3 - 37*n**2 - 11*n - 48. Let i(j) = -5*u(j) + 8*z(j). What is the tens digit of i(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*m = 3*s - 29, 2*s = 5*m + 35. Let i = s + -5. What is the second derivative of -2*y**i - y**5 - 3*y - y**5 wrt y?\nAnswer: -80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 809\/28 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:15 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 4*i**2 - i - 2. Let b(j) = j**3 + 3*j**2 - j + 1. Let s be b(-3). Let k be p(s). Let g = -8 + 7. Put g, 2, k in ascending order.\nAnswer: k, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoo when three letters picked without replacement from oooyooyooyyooy?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120100 + 122?\nAnswer: 120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1111201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aayp when four letters picked without replacement from pybapbpypptaytppybpb?\nAnswer: 8\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 12 + 58 = 0. Let u = w - 25. List the prime factors of 1 - (u + (-156)\/(-4))*-3.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwaeaewqelwwwwwe. Give prob of sequence qw.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*a + 57216, -2*a - 17805 = -i - 55944. List the prime factors of a.\nAnswer: 23, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 3400*x**3 + 2167500*x**2 + 614125000*x + 65250781250.\nAnswer: 2*(x + 425)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12\/20 - (-18676)\/140 is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*l + 793*l - 272*l - 248*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 5*y)*(-6 + 2 + 2) + y - y + y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3277201 is divided by 1092307.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 97488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -119\/4 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**2 - 3. Let v be a(4). Let o be (-6)\/8 + v\/(-4). Suppose 2*b + 2*g - o = -0*b, -6 = 2*b - 4*g. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + 0. Suppose 3*h + 11 = -4*i, -5*h + i = -0*i - k. Suppose 2*y - h*y + 2 = 0. Solve -a - y = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**2\/5 + 6644*n + 70011568\/5 = 0?\nAnswer: -1892, 18502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szz when three letters picked without replacement from {g: 8, s: 8, z: 4}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, 0, 5, 3, -153 in ascending order.\nAnswer: -153, 0, 2, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 3. Let n be a(0). List the prime factors of (-466)\/(-8) - n\/(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 82. Calculate the remainder when 299\/2 - 6\/12 is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1014.317244 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2 - 5*r - 4. Let a be f(-1). Let u be (-176)\/(-10) + 2\/5. Let t = u + a. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r + 5 - r - 3. Let h be a(0). Suppose h*k - 4*y + 0*y = 92, -k = 5*y - 60. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 5*i + 1658, -2*j + 3*i - 62 = -1752. Suppose 0 = 10*q - 209 + j. Let n = -46 - q. Which is smaller: n or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 6*r + 60 = 0. Let v = 23 + r. Calculate the greatest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*t + 126*t + 13 - 22 - 18.\nAnswer: 365*t - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5 = -3. What is the greatest common divisor of p and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -452016 (base 7) to base 11\nAnswer: -55066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/297573036 or 0?\nAnswer: -1\/297573036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483 and 156354.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1407639 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205747 and 3968?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -632881156 + 0?\nAnswer: -632881156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1)\/(5\/755). Suppose -826 + n = -3*i. Suppose 0 = -4*p + 667 + i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -175*r**3 + 8*r - 4. Let b(h) = 7524*h**3 - 342*h + 171. Calculate -4*b(m) - 171*n(m).\nAnswer: -171*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2 - 6 = -2*j, 0 = 5*j - 4*d - 10. Let c(x) = -9*x + 18. Let i be c(j). Does 27 divide i + (1 - 4) + (311 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -12 - 4*h**2 + 0*h**2 - 7*h**3 + 5. Let k(c) = -c**3 + c**2 + 1. Let q(n) = 4*k(n) + l(n). What is the derivative of q(x) wrt x?\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86086 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 201171?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 140, 191, 276, 407?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101212100 (base 3) in base 10?\nAnswer: 27603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2. Let t(d) = -9*d + 6. Let p(b) = b**3 + 3*b**2 - b. Let a be p(-2). Let m(l) = -8*l + 5. Let v(s) = a*m(s) - 5*t(s). What is g(v(y))?\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - o = -5*o - 10, -4*k = 2*o - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/9 (b) 47\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -4, 4, -1, -56, -2 in descending order.\nAnswer: 17, 4, -1, -2, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:25 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38117\/4 - 9988. Let m = -452 - p. Calculate the common denominator of -27\/11 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4311299 + 4311299.4999938. Let h = 0.5 + 0. Let p = h - k. What is p rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/39909036 and 1\/339698?\nAnswer: 1237180116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117142 by 1583.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 233 (b) 2 (c) -16\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5341 to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21.031 and 0.0813587?\nAnswer: 20.9496413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:03 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2755 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-16)*-4 + (-9 - 0). Let u be n\/(-3)*-1 + 53. Let m = u + -6. Calculate the highest common factor of m and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4079214?\nAnswer: 2, 3, 75541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 9*b**2 - 1. What is d(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 2\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*1)\/((9044\/(-34))\/19).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3 - 2554174*k**2\/3 - 6811148*k\/3 - 1135192 = 0.\nAnswer: -2, -2\/3, 851394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.1 rounded to 0 dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*f**3*j**3 - 5*f**3*j**2 + f**3*j - 7*f**2*j**3 - f*j**3 + 2*f*j - 24*f - 56*j**3 - 59*j**2 wrt j?\nAnswer: 210*f**3 - 42*f**2 - 6*f - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -114 (b) 2 (c) 3 (d) -4 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = -5*b - 15, 0 = -2*b + 2*p - 2. Let v(q) = 15*q**3 - 4*q**2 + 5*q. Let j be v(b). Round j to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 9 - 6 - 2*g**2)*(-2865*g - 3384*g + 8233*g) to y + z*g + m*g**3 + a*g**2 and give z.\nAnswer: 3968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + b**2 - b - 19. Let h(w) = w**3 - 10*w**2 + 14. Let c be h(8). Let u = c - -114. What is l(u)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3822615 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196875 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 16*t - 21. What is the tens digit of j(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14) + 0\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l + 2. Let j(u) be the first derivative of 23*u**2\/2 + 5*u - 3716. Calculate 8*d(t) - 3*j(t).\nAnswer: -5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/892804 and -15\/1408.\nAnswer: 28569728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 54*g + 1762 + 953, 27*o = 31*o + 2*g + 80 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231*l**3 + 232*l**3 + 2*l**2 - 3*l**2 to the form d + f*l**2 + q*l + w*l**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148027 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 9 = -4*v + 3*z, 3*v = 3*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 9*s**2 + s + 4. Calculate the remainder when x(9) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*l + 2 = 0, -s + 4*l + 0 = -4. Suppose -3 = 4*y + y - 2*d, -2*y - d - 3 = s. Let p(v) = -v**3 + 5*v**2 - 6*v + 5. Let k be p(4). Sort k, y, -4.\nAnswer: -4, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3963 + 2257. Which is the third smallest value? (a) m (b) 0.2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**4\/6 - t**2\/2 - 5*t. Let c(u) be the second derivative of -u**4\/6 + u**2\/2 + 2*u. What is -5*c(i) - 4*v(i)?\nAnswer: 2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -149764?\nAnswer: -14976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*4 + 5\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*l - 20. Let i = -39 - -129. Let q = i + -28. What is the remainder when q is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -16. Let j = 8 + -4. Suppose -j*v = -2*v - 18. Calculate the least common multiple of y and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-4 - 0)\/4. Suppose q = -5*n + 11 + 314. Let g = -35 + n. What is the highest common divisor of 30 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.01 times 7\nAnswer: -7.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:27 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t + 2*s - 5 = 0, 3*t + 4*s = -29. Let o = 14 - 13.91. Let g = o - 2.09. Are g and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -142\/81? (a) -0.5 (b) -2\/5 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -105, -268, -485, -750, -1057, -1400?\n\"Answer: k**3 - 36*k**2 - 2*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d - 48*d - 28 = 3*m - 99*d, 4*m = -4*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -1\/9, -0.4, -40\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-14))\/(240\/(-112)))\/(((-351)\/(-9))\/117)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.94 - -1.94. What is the closest to m in -5, 2\/3, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/15 + 1310548*k\/15 - 87370.\nAnswer: 2*(k - 1)*(k + 655275)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516 times 6?\nAnswer: -9096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3757 = -2*b - 5*f, 10*f + 5645 = 3*b + 8*f. Let y = b + -4181. What is y rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106394484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 11:03 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2303305, -4606635, -6909965, -9213295?\nAnswer: -11516625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*n = -158*n + 95*n - 7518 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -4*i - i. What is the common denominator of i\/(-3)*(-6)\/20 and -65\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 l when three letters picked without replacement from {l: 5, i: 3, b: 2, e: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30278433 to the nearest integer?\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -887.6 + 794.76. What is w rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32386958970 to the nearest one million.\nAnswer: -32387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64955312 to the nearest integer?\nAnswer: 8059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/4 + 127*a**3\/4 - 129*a**2\/2 = 0.\nAnswer: -129, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 4. Let x(v) = -4*v - 8. Let a be x(-3). Suppose 2*r + a*u = -2, 0 = -3*r + 4*u - 2*u - 19. Give s(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:57 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 2*m + 14. Determine y(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1630, 1632, 1634, 1636?\n\"Answer: 2*w + 1628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2322)\/(-108))\/(3741\/3828).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + v**4 + 0*v**4 + (1 + 2 - 1)*(-4*v**4 + 4*v**4 + 2*v**4) + v**4 + v**4 - v**4 - v - 1906*v**4 - v + 1968*v**4.\nAnswer: 66*v**4 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 55 - 58*y**4)*(5 - 2 - 5)*(42 + 13 - 8).\nAnswer: 5452*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, p: 2, b: 1, y: 2, n: 2}. What is prob of sequence nh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - u + 2. Let c = -2 + 2. Let w(x) = x**2 - x - 4. Let h be w(3). Suppose c*k - 4 = -h*k. Determine i(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/17)\/z**(3\/11))**32)**(-46))**(-15\/11) assuming z is positive.\nAnswer: z**(-1611840\/2057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1440002, 2880014, 4320026, 5760038, 7200050, 8640062?\n\"Answer: 1440012*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205095, -205111, -205127, -205143, -205159?\nAnswer: -205175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/5080860 and 79\/150544.\nAnswer: 20323440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 34235?\nAnswer: -34240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 282969.6 kilograms?\nAnswer: 282.9696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5252, 1, 3 in descending order.\nAnswer: 15, 3, 1, -5252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**5\/10 + f**4\/6 - f**3\/6 - 2*f**2 - 2*f. What is the remainder when r(-3) is divided by (-26)\/(-169) - (-464)\/26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3905, -6357, 4, 7 in ascending order.\nAnswer: -6357, 4, 7, 3905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 7071480?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/22178 and -41\/17060.\nAnswer: 221780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1423, 10, 4\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96\/7*w + 32\/7 + 18\/7*w**4 + 16*w**2 + 64\/7*w**3 + 2\/7*w**5.\nAnswer: 2*(w + 1)*(w + 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 12\/16 - 6\/8. Let h(k) = -k**2 - 7*k + 6. Let p be h(-7). Suppose p = a*x - 66. Calculate the remainder when x is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -2\/3*j**3 + 0*j + 0 + 1\/4*j**4 - 1\/12*j**5 + 1\/120*j**6 - 4*j**2. Determine a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1384293426 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1426030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/9))**(-18\/11)*(o\/(o**(3\/4)*o))\/(o*o\/(o*o**(-8\/9))) assuming o is positive.\nAnswer: o**(-1621\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -144282594*s**3 - 79*s**2 + 189449*s - 3.\nAnswer: -865695564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -724.20621 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1351301900816 and 69?\nAnswer: 1351301900885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyypppyy. Give prob of picking 1 y and 2 p.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/48, 3\/2, 5, 1 in increasing order.\nAnswer: 1\/48, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:12 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 674 and 12036966.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 4*h**2 - 5*h - 3. What are the prime factors of y(-6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47.5 - 41. Let l(s) = s**2 + 72*s - 143. Let h be l(-74). What is the smallest value in -5, h, -2\/7, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 23229?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33103.54 grams?\nAnswer: 33103540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p - 8. Is 14 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/3)\/44*456\/190\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129338367 to the nearest integer?\nAnswer: 11373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-98)\/2)\/7 + 20. Solve 0 = -5*i + x + 11, -x + s = -2*i + 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*p**4\/9 - 692*p**3\/9 + 46288*p**2\/9 - 40720*p\/9 - 1600\/3 = 0. Calculate p.\nAnswer: -30, -2\/19, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**18*v**(-11) assuming v is positive.\nAnswer: v**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*a - 4 - 7 = 0, 5*x = -a + 8. Let k be (-8)\/12 + (-2)\/6. Let f be k\/(-4)*2*2. Is f != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.145 + -0.103. Let v = q + -5.642. Which is the second biggest value? (a) 0 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l - 3*r, -3*l + 10 = -3*r - 14. What is the second derivative of -n**2 + 154*n**l + 26*n - 129*n**4 + 2*n wrt n?\nAnswer: 300*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 376740 - -3?\nAnswer: 376743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/20 - (9 + (-146)\/16) and 51\/55?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 545 or 547?\nAnswer: 545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-5)\/((-20)\/24). Let v = g + -2. Let f = 0.117 - 0.017. Which is the smallest value? (a) f (b) 1\/3 (c) 0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 + (-20)\/(-8) - -153. Suppose 0 = -11*h - f + 46. Let v be 31 - h\/(-4)*(-12)\/(-10). What is the highest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -l - 3*l - 3*j, 5*j = 3*l - 20. Let d(m) = -m**3 - m**2. Let q be d(-2). Suppose 25 + l = q*a. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 + 261*q**4 - 6057*q**3 + 16635*q**2 - 16128*q + 5292 = 0.\nAnswer: 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1201 - -1199. Sort j, -0.1, -0.3, 1 in decreasing order.\nAnswer: 1, -0.1, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*k - 95*k - 60*k - 242*k + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/7 - 1507*o\/7 + 9006\/7 = 0.\nAnswer: 6, 1501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306277534?\nAnswer: 2, 9901, 15467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/54 and 55\/18162?\nAnswer: 54486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192 + 195. Solve 5 - 17 = y*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*g**2*h**2*j + 74556*g**2*j - 1528*h**2*j - h*j + h + 24*j - 60 wrt g.\nAnswer: 102*g*h**2*j + 149112*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63563155 + -2221963.\nAnswer: -65785118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q + 4*q + 1 + 0*q to z + v*q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*v + 2. Suppose 0*d + 42 = v*d. Suppose 0 = -3*r - 3 + 12. Solve -3*u + 4*i + d = -4*u, 4*i = -r*u - 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1788)\/36)\/(2\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -6*p - 305. Let r(q) = -2*q**2 + 3*q + 4. Let x be r(3). Is x > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1355207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28877*y**3 - 84907*y**2?\nAnswer: -173262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m + 34. Let r be v(-10). Let c = -73 + r. What is the highest common divisor of 9 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -16 - 4. Let c be (6\/(-5))\/(4\/f). Suppose 0 = 3*l - c - 15. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59*o**2 + 2956*o**3 - 5402 + 2955*o**3 - 8876*o**3 + 2*o + 2953*o**3 wrt o?\nAnswer: -36*o**2 + 118*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 3. Let m(t) = t - 6. Suppose -l + 2*k + 5 = 3*k, 0 = l + 4*k - 5. Let a be m(l). Let s(r) = r. Let p(n) = a*b(n) - 5*s(n). Calculate p(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, -1\/4, -1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99688.2514 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1386913 = -h, -k + 3636946 = 5*h - 3297592. Suppose 0 = -5*q - 5*g + 58118 + h, 2*q - 4*g - 577980 = 0. Round q to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2675176857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5 = 3. Let f(p) = -p - 1. Let g be f(z). Solve 8*b = g*b + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 130?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-102 - -107)*2\/45. Let s = -78\/77 + 8\/11. What is the third biggest value in r, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 34*p**2 + 72*p + 46. Let h be t(36). Suppose -6*n = -h + 10. Calculate the least common multiple of n and 129.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, a: 2, t: 3, v: 1, s: 3, m: 2}. What is prob of sequence st?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 113061*r - 678325. Calculate m(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*6*-1*sqrt(136)*-3)\/(sqrt(16)\/(2*sqrt(2)*-1)*-2))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0 = -10. Solve q*t + 3 + 7 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1290*p**2 + 9 - 908*p**2 - 9 in the form i*p**2 + y + v*p and give i.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o - 3*o)*(-4 + 3 + 2)*(0 - 8 - 46*o + 41*o).\nAnswer: -10*o**2 - 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 16 = 5*w, -37*w + 30*w = s + 27 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1252*y - 137*y + 1878*y - 5986 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 4*y**2 + y - 4. Let i be u(4). Is i bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**2 - 5*i + 2. Let q(m) = -3*m**2 + 2*m - 1. Suppose 3*b - f = -0*b + 20, 9*f + 50 = b. What is b*q(s) + 2*u(s)?\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 25 = h, 2*v - 721 = 3*h. Let r = 507 - v. Calculate the highest common factor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - f**3 - 8*f + 8*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 103 = 73. Let t be (4 - 8)*(d\/(-10) + 0). Solve 0 = 3*g + t*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -76 + 13. Let o be 2\/7 - (-141)\/s. Suppose 0 = -o*c + 87 + 158. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(24\/69)\/8. Suppose -11*a - 1 = -10*a. What is the biggest value in -1\/8, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apc when three letters picked without replacement from {p: 4, a: 4, c: 1, y: 10}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*a - 84*a = -6. Solve -4*j - a*j = -18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - n. Let j(z) = 25 + 60*z**2 - 5*z**2 + 592*z - 537*z. Let x(d) = -j(d) - 25*s(d). Factor x(m).\nAnswer: -5*(m + 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 686165011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35141 + -1?\nAnswer: -35142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-402)\/4221*(-585)\/26?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3225\/100 + (-1*1)\/4. Let s be (-80)\/v*(-2 - -2 - -2). Is -5 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 15*g - 75. Let j(c) = -1. Give -75*j(y) + n(y).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-9 - (-13 + 30))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**2*x**2 + 7*t**2*x - 270*t**2 + 7*x**2 wrt x?\nAnswer: 2*t**2*x + 7*t**2 + 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.961 - 0.039. Let a = 0.3 - 0.11. Let y = -0.01 - a. What is the closest to q in y, 3\/2, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57790 is divided by 540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 + (-8 - 18) - -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1832795, -3665587, -5498379, -7331171?\n\"Answer: -1832792*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 6, n: 2, g: 1, r: 4, s: 1}. Give prob of sequence rnn.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(-59*v - 2*v + 13*v).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -42*g + 38*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 5*y = 11*p + 34, -4*p + y = -17. Let b = 7 + -6. Solve b = -g - 3*l, -5*l = -p*g - 3*l - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 5\/((-15)\/(-39)). What is the third derivative of t**6 - t**5 + z*t**6 - 61*t**2 + 0*t**6 - t**6 wrt t?\nAnswer: 1200*t**3 - 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19*w - 69. What is m(13)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.8 + 8.9. Round b to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*i - 20, 2 = i + 2*q + 10. Suppose -s + 0*s = h - 10, -4*h + 4*s = i. Let r(k) = 31*k + 24. What is the tens digit of r(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-10) - 28\/70.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -241 or -1204\/5?\nAnswer: -1204\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1109*c - 60595 = 2340*c + 4936 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84705 divided by -5647.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q + 18926 = 48710. What is the remainder when q is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 2*o - 43 + 43 - 19*o**2)*(33 - 140 - 74) to z*o + v + f*o**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, j: 2, i: 1, u: 3, w: 4}. Give prob of sequence it.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958*k = -961*k - 4*g + 60 + 21, 0 = -4*g for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*a**3 + 2 + (12*a - 29*a - 38*a - 1)*(a + 2*a**2 - a).\nAnswer: -112*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -5, 3 in increasing order.\nAnswer: -6, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*c = 2*n + 419*c - 22, c - 2 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -8. Does 37 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**3 + 16*d**2 - 18*d + 11. Let a(x) = -20*x**3 - 48*x**2 + 54*x - 32. Let c(s) = -6*a(s) - 17*h(s). Is c(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3714 is divided by 1226.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5681, 11365, 17053, 22745, 28441, 34141?\nAnswer: 39845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**2))**(-2\/51)*(b**(-3\/5))**(7\/5) assuming b is positive.\nAnswer: b**(-307\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - 4) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 + 3*m**2 + m**2 + (28 + 40 - 22)*(3*m + m**2 - 3*m) to the form x*m**2 + l*m + y and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17*p**3 + 9*p**2 - 897*p + 9. Let r(c) = 4*c**3 - 2*c**2 + 224*c - 2. What is 2*i(l) + 9*r(l)?\nAnswer: 2*l**3 + 222*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1468514.\nAnswer: -1468514.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 191114359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*v + 18*v - 901064 - 271384. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3465*j**2 - 595*j - 595. Let t(v) = -35*v**2 + 6*v + 6. Let f = 3673 - 3667. Determine f*g(m) + 595*t(m).\nAnswer: -35*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let j(z) = b*z - z + 0*z. Let q be j(-3). Solve -q*u + 3*y - 12 - 9 = 0, 2*y = u + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-30)\/f)*f)\/f**(-24))\/(f**(2\/7)\/f)**(-7\/2) assuming f is positive.\nAnswer: f**(109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-1348))\/(9\/(-3)))\/(5688\/22752).\nAnswer: 2\/337","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 1. Let p be (-6 - -7) + 0\/(2 - 1). Let k(d) = -d**2 + d - 1. Give p*k(f) + u(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*t**2 + 1359*t - 1373*t + 3*t**2 - 4*t**2 as o*t + c*t**2 + z and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -264 - -718. Suppose -142 = 13*z - i. What is the greatest common divisor of z and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 190 - 194. Let o(q) = q**3 + 3*q**2 - 5*q - 1. Calculate o(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40046 is divided by 13345?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 51. Suppose -y - 3*y + l = 3*h, 0 = 4*h + 4*y - 24. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 5*p - 2*a - 1222, -2*p + a + 424 = 0. Calculate the remainder when p is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24.2 less than 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(950)*1*-5)\/(sqrt(2) + sqrt(242)*-1 - (sqrt(2) + sqrt(80)\/sqrt(10))).\nAnswer: 25*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/738 (b) -0.1 (c) -2\/11 (d) -0.065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/3, 3\/7, -77 in increasing order.\nAnswer: -77, -2, -4\/3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 5, 12 in decreasing order.\nAnswer: 12, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394, 396, 398?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*d + 4*m + 10, -d + 9 = 2*m. Suppose 1206 = -b + d*b. Suppose 0 = -2*u - 4*h + 134, 3*u - 3*h = -6*h + b. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 26361420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -35*s - 40*s - 26 - 43*s + 146*s - 44*s. Let c = 14 - 30. What are the prime factors of g(c)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5 - c**3 - 1 + 8 in the form r + j*c**3 + o*c**2 + k*c and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (590*v**3 - 10967*v**2 + 10967*v**2)*(3*v**2 - 4*v**2 + 2*v**2).\nAnswer: 590*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 313.7 + -313.69999297. What is g rounded to seven dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = -117*p + 114*p, 3*z = 4*p - 31. Let u = 17 - 14. Suppose -3*s - 4*n + 4 = 0, s + u*n = -2*n + 5. Put s, 10, -4, z in decreasing order.\nAnswer: 10, s, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56277776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - 2710382\/(-6). Let z = i + -291730. Round z to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 10*r - 22. Let 65 - 803*k - 130*k**2 + 5*k**5 + 808*k + 65*k**4 - 12*k**3 + r*k**3 = 0. Calculate k.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/60 and -91\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 331260 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63 - (-40 - -94)) + 3 + -2 + -10 + -24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 0 - -3) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(4) - ((sqrt(200) - sqrt(8))\/sqrt(2) + sqrt(4)))\/(sqrt(18)\/sqrt(36)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*d + 28*d + 36 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 618099522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*v - 12 = 2*v, 2*p - 34 = -v. Let w(z) = -z + 3. Let t be w(-20). Let m = p + t. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**2\/2 + 5*q + 1. Let v = -33 + 21. What are the prime factors of a(v)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10683 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124134, 495579, 1114338, 1980411?\nAnswer: 3093798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3))**4*s**(-2\/23)\/s**(-2))**15 assuming s is positive.\nAnswer: s**(-3480\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 3. Let r be 1\/(-3) - (-2)\/y. Suppose g + 4 = 8. Solve 4 = -r*u + g*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18636 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.962*-75.\nAnswer: -147.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -16*q + 65. Let i(p) = -5*p + 22. Let m(l) = 7*i(l) - 2*o(l). Determine m(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 3:21 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 138097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017487 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k*q**2 + 106725983*k + 112828129*q**2 wrt k?\nAnswer: 2*q**2 + 106725983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 2\/3*t**3 + 2\/9*t**4 - 8\/9*t**2 + 0 = 0 for t.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j + 28 = 0. Calculate the greatest common divisor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -146889?\nAnswer: -146885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 + 287*n - 2293. Calculate the least common multiple of 145 and s(8).\nAnswer: 5655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105*1583.\nAnswer: 166215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (1 - (-1 - -1) - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 0.0814?\nAnswer: -3.0814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tql when three letters picked without replacement from {l: 1, q: 1, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogt when three letters picked without replacement from {o: 2, v: 1, g: 1, x: 2, t: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -5*m - 5*a, -7225 + 7125 = 5*m - 5*a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2326960 and 26\/15.\nAnswer: 6980880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 45, 82, 119, 156, 193?\n\"Answer: 37*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123131, 123136, 123141?\nAnswer: 123146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m + 204 = -22*m. Solve q - 12 = 3*d, q - m = 2*q + 3*d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 53 - (-769 + 716).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f = 27 + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(85) + sqrt(85)*-2)\/sqrt(5) - (sqrt(51)*-4)\/sqrt(3)) + (-6*sqrt(170)*2)\/(sqrt(20)\/sqrt(2)*6)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 3*h - 12 + 4 + 0*h**3 - 7*h**2 + h**3. Let n be k(8). Solve n = -4*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38516708897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148 + 30. Let x = -55 - l. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*f**3 - 34*f**3 - 32*f**3.\nAnswer: -149*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64849 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7cac (base 13) to base 11\nAnswer: -12204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -935 - 28. Which is the nearest to 1? (a) 0.3 (b) 3\/8 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039038 rounded to 6 dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 7129174940 to the nearest one hundred thousand.\nAnswer: 7129200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 112 + 7*x + 112 as z*x + t and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*p - 2)*(4 - 2 - 4) - 4 + 4 - 2*p + (3 + 0 - 4)*(2 + 4 - 5)*(-24 - p + 24) in the form x + s*p and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001590516 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -77091020280 from 15.\nAnswer: 77091020295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:04 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b**5 + 27\/2*b**6 - 1\/2*b**2 + 0*b**4 - 1\/7*b**7 - 4\/3*b**3 + 0*b + 112. What is the third derivative of a(g) wrt g?\nAnswer: -120*g**3 + 4860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.105 * -5.8\nAnswer: -0.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**2 + 105010*o + 551355005 = 0. Calculate o.\nAnswer: -10501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -2*z**6\/21 + 32*z**5\/35 + z**4 - 248*z**3\/21 + 96*z**2\/7 + 10253. Determine j so that x(j) = 0.\nAnswer: -3, 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -7*i**7\/10 - 7*i**4 + 5*i**2 + 2*i. Find the second derivative of u(c) wrt c.\nAnswer: -1764*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -132. Let z be 4*(-1 - -2)*1. Sort 3, a, z.\nAnswer: a, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -8 + 0)\/((-1)\/2). Let j(i) = -4*i + 41. Let n be j(y). Suppose n = -4*c + 1. Solve -6*t - 3*r = -t - 12, 4*t + 2*r - 10 = c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (70\/21)\/((-45)\/(-27)). Solve -m - b*n = -9 - 1, 15 = 2*m + 3*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 2 - (-34 - -29).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = 5. Solve -4*a - h + 4 = -5*h, 0 = -j*a - h - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39880.\nAnswer: 2, 5, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*x + 4*x + 209323. Let r = x + -4980. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -386 and -387 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1152162 and 639606.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 5 (c) 39\/2 (d) -7607\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*b**2 - 2 - 108*b**2 + 2*b**4 + 6454*b - 6434*b to the form f + z*b**3 + k*b**4 + c*b + q*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 10. Let g(a) = a + 4. Let k be g(-10). Let l be k\/(-9)*-1*-12. What is the units digit of m(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 6066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 + 1 + (-1 - 32). Let d = n - -33. What is the derivative of -9 - 11*j**4 + 2 + d + 10*j**4 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-1\/2)\/r))\/r*r*r**(-4\/9)\/r)\/((r*r**(-1))\/r)**43 assuming r is positive.\nAnswer: r**(793\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhhm when four letters picked without replacement from {h: 17, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-9 - -12) + 19)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -729*q**5 + q**2 - 53*q?\nAnswer: -43740*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-66)\/(-15) - 6\/(-10). Suppose 7*u = 8*u - m. Suppose -6*x - 72 = -12*x. What is the remainder when x is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 90050454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2, -15.\nAnswer: -15, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-10)\/6*6\/4. Solve -s = -4*k - 23, 0 = 3*s - 2*k - 9 - x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 14171?\nAnswer: 14172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 11254402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 417073, 833433, 1249793?\n\"Answer: 416360*t + 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28307 is divided by 4039.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0 = 4. Let y(k) = 7*k - 1. Let d be y(1). Let c(g) = -g**3 + 5*g**2 + 4*g + 7. Let z be c(d). Put 4, z, h in descending order.\nAnswer: 4, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 - -107. What is the units digit of 9\/3 + (65 - (t + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*m + 29 = -h, 14 = -h - 2*m. Let p(w) = -5*w - 5. Let x(q) = -6*q - 4. Let y(v) = h*x(v) + 5*p(v). Give y(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - g - g + 16 = 0, 2*f - 30 = 5*g. Suppose 1 = -c, 2*o - 3*c - c = f. Let d(r) = 80*r + 6. Is 11 a factor of d(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -123*z + 2781. What is m(25)?\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 3, d: 1, u: 6, o: 2}. What is prob of sequence wo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 542\/(416256\/(-3456))*(6\/36)\/(6\/(-1072))?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4)*-1)*-4.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2730478?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 7*n**3 - 70*n - 5. Let h(q) = 8*q**3 - 69*q - 6. Determine -6*a(c) + 5*h(c).\nAnswer: -2*c**3 + 75*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8188*a + 8356*a = -2352 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (5 - (-3 - -1)) + -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 970596.7 days in milliseconds?\nAnswer: 83859554880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133606 is divided by 3516?\nAnswer: 3514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 - -182. Find the third derivative of -17*w**o + 8*w**6 + 9*w**2 + 4*w - 9*w**6 wrt w.\nAnswer: -2160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8263077 milligrams in tonnes?\nAnswer: 0.0000000008263077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145\/117*6\/10 - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + 13 + -17 - 22.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:41 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 - 51*c + 52. Let h be o(1). Solve -398*n + h = -405*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/7096 and -31\/4.\nAnswer: 7096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -52. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 208*l = -1652*l + 215*l + 16700 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-9))\/(2\/42). Let v be 1 - -5 - (-2 - -7). Suppose v + d = f. Which is bigger: f or 15\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4004511 (base 8) in base 12?\nAnswer: 428235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 38 + -15)\/(8\/(-3))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Calculate the remainder when 7 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-174)*(-458)\/1145\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g**3*j**2 - 1653013*g**2 + 10*g - 42779*j**2 - 2*j wrt g.\nAnswer: -36*g*j**2 - 3306026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10154, 42690, 96918, 172838, 270450, 389754?\nAnswer: 530750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1938 = 13*n - 8319. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -4*m**3\/3 + 5*m**2 + 14*m. Differentiate n(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(4\/7)\/(o**2\/o))\/(o**(-1\/2)*o*o**(-5)))**9)**14 assuming o is positive.\nAnswer: o**513","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2, 18, -1\/3, -1.5, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3651858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/12 and ((-68)\/(-2) + 1\/(-2))*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 3. Let y be d(-11). Let o = -6 - y. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjybrjbbzybzybbbr. Give prob of sequence jzz.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/60417 and -169\/1090740.\nAnswer: 448294140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 817*n**7\/42 - n**5\/10 + 629*n**3\/2 - 295*n + 3. What is the second derivative of v(g) wrt g?\nAnswer: 16340*g**3 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-111)\/(-4) - 3\/(-12). Suppose 2*t - 4*m - v = 40, 5*t = -4*m + 212. Suppose -4*k + t = k. Calculate the least common multiple of k and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8387, -16773, -25161, -33551, -41943, -50337, -58733?\n\"Answer: -s**2 - 8383*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**31\/h**(-1\/6))\/((h*h**(-1\/2)*h*h)\/(h\/(h*h**(-11)*h)*h)))**(1\/8) assuming h is positive.\nAnswer: h**(119\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 8. Let z(i) = 2*i - 7. Suppose 355*j + 11 = -140 - 914. Determine j*u(y) + 4*z(y).\nAnswer: 5*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 9845682.\nAnswer: 29537046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prdrpdrdrdrrr. Give prob of sequence pp.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = 73 + 108 - 10 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -272636281876 - -0.3.\nAnswer: -272636281875.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + v - v - v + 1 - 1 + (v - 2*v - v)*(-2 - 2 + 3))*(2*v**2 + 10*v**2 - 4*v**2) as i + y*v**2 + w*v + k*v**3 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h**5\/2 + 1154*h**4 + 3222*h**3 + 2797*h**2 + 1033*h\/2 - 207 = 0. What is h?\nAnswer: -207, -1, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 1.125865 (c) 12 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*i + 10, 4*i = -2*h - 0*h + 8. Let q(u) = -7*u + 3*u - 7*u + h*u. Let c(n) = -2*n**2. Determine c(q(j)).\nAnswer: -242*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-644)\/(-7))\/(1\/1). Let n(j) = 47*j - 1. Let x be n(6). Let t = a + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**8\/20160 - k**7\/630 + 11*k**6\/720 - 7*k**5\/60 - 2*k**2. Let n(m) be the third derivative of s(m). Is n(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b**3 + 2*b**2 + 41*b + 52. Let u be s(-5). Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 210 = 16*k. What is the remainder when k\/5 - 3\/(-5) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 724654 * 2\nAnswer: 1449308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*p**2 - 212*p**3 - 6 + 214*p**3 to w*p + z + y*p**2 + q*p**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Suppose -2*d + 10 = w. Suppose 6*h - 2*h = -d*o + 92, h - o - 17 = 0. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567 divided by 5\nAnswer: 567\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -263*b - 701 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -722 or -20?\nAnswer: -722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 114*u + 174*u + 151*u.\nAnswer: 444*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66*2\/(-34) - 18\/(-153).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 = 5*l - 1, 3*l + 5*b = 6. Suppose 5*o + 18 = -g + o, -2*o = -5*g + 20. Suppose g*n = -2*n. Solve -6 = l*d - n*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3 + 7 = 0. Solve -p = 2*s - 5, 3*p - h*p = -4*s + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - 3*v. Solve -4*y + 4*x + 4 = v, 0 = -2*y + 3*y - 2*x - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let i = 105\/8 + -1163\/88. Which is the second smallest value? (a) i (b) -1\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 5*i. Let o be f(3). Let t(q) = 8 - 2*q - q + 2*q + 0*q. Let c be t(o). Solve -4 = 2*j - c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 2*m**2 + 2*m**2 - 1 + 1 + m**2 + (2*m + 0*m - m)*(1 - 1 + 2*m) + 3*m**2 + 0*m**2 + 0*m**2 + (-4*m - 6*m + 9*m)*(2*m - 3*m - m).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - x**2)*(x + 4*x - 2*x)*(0 + 0 - 3)*(-9 + 1 - 8) to the form u*x + s*x**2 + i*x**3 + n and give i.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 8*c - 1. Let f be g(8). Let n be 4 + f + (-2)\/2. Find the second derivative of -9*k - n*k - 24*k**3 + 16*k**3 wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 equal to 15\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249 - 248.873. What is k rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:27 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 5\/71 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(605) + -2*sqrt(605)) - (sqrt(27) + (sqrt(27)*2)**2 + 0)) + (3 + -3*(2*sqrt(243) - sqrt(243)))**2 + 5.\nAnswer: -1816*sqrt(3)\/11 + 2093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.117378759 to three decimal places.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50 + -55 - 20\/(-2). Solve -3*n - 5 = -4*s + 2*s, i = -2*s + n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(9 + 1) + (11820 - (-2)\/1). Calculate the highest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(2\/(-75)). Let v be ((-20)\/i)\/(2\/340). Round v to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -3178.\nAnswer: -3178.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 249578509 to the power of 1\/2, to the nearest integer?\nAnswer: 15798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141 + -142. Suppose -m = 3*f + 16, -4*f - 31 - 5 = 5*m. Which is the nearest to 1? (a) m (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/7, 6, 2, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 169 - 50. Let y = -21 + a. Let u = -68 - y. Which is smaller: u or -29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)*k)**(-1\/20))**46*((k\/(k**(-1)\/k)*k*k*k)\/k)**21*k**(1\/2)*k**(1\/6) assuming k is positive.\nAnswer: k**(2467\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -4 + 2 - (((sqrt(14) - 2*sqrt(14)) + sqrt(14) + sqrt(14))\/sqrt(2) + -3)) + 5.\nAnswer: 2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -27969534*u. Let c(t) = -7*t**2. Give o(c(j)).\nAnswer: 195786738*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 582 = -376*d - 202 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -465361813 + -5?\nAnswer: -465361818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12754, 24904, 37054, 49204, 61354, 73504?\nAnswer: 85654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 116. Calculate the remainder when i(29) is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 6*r + 6. What is b(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5658005689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005882 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 359 - 358.519. What is h rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.100892nm in millimeters?\nAnswer: 0.000007100892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**7\/140 + r**6\/90 + 4*r**3 + 7. Let t(j) be the third derivative of z(j). Factor t(c).\nAnswer: 2*c**2*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j**2 - j. Let b be k(1). Let x(c) = 11*c**3 - 2*c**2 + 2*c - 1. Let h be x(b). Suppose 167 = 3*a - h. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.027 - 0.094. Let g = -0.120751 - r. Round g to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 - (8 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -81, -66, -69, -96, -153, -246, -381?\n\"Answer: -l**3 - 3*l**2 + 31*l - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63965801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.571898 nanograms?\nAnswer: 0.008571898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-203)\/(-49) + 3\/(-21). Suppose -5*g + 63 = -2*g. Solve 0 = -b + 3*s - 11, -1 = 5*b - d*s + g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(360)*-2)\/(sqrt(72)\/(sqrt(36)\/sqrt(4)*5)))**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 1412?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 9*a - 30. What is u(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 696606914?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(1\/17)\/o*o))\/(o*o**(-2\/23)))\/((o*o**16)\/(o\/(o*o**(1\/27)))) assuming o is positive.\nAnswer: o**(-179563\/10557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 38*f. Let w be x(38). Solve 5*m - 2*s + 33 = w, m + 6 = s - 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 11 = 3. Let l be (-310)\/(-3) + j\/(-6). Suppose -5*k = 2*n - 3*n - l, 0 = -4*n - 16. What is the least common multiple of 2 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 62*a - 916. What is f(39)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21386567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 74*r**3 - 2*r**2 - 74*r.\nAnswer: 2*r*(r - 1)*(r + 1)*(r + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 + -9)*(-2)\/(-4). Sort 2, -6, y in increasing order.\nAnswer: -6, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + f = -3, -2*f = d + 3*d + 6. Let s = -1 + 3. Solve d = -u - m + s, 5*m - 5 = -u + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16, 35, 52, 67, 80, 91, 100?\n\"Answer: -o**2 + 22*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32016 = 47*b - 45*b. Suppose -12*r + b = 12*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**6\/f)\/f)**(2\/29))**21)**(6\/5))**(-45) assuming f is positive.\nAnswer: f**(-9072\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*n + 3*v - 71, 2*v = -3*n + 41. Calculate the remainder when 91 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4 = 2*d. Suppose -d*u + 2 + 2 = 0. Determine b, given that 2*b - 2*b**3 + 0*b - 5*b**2 + 0*b**3 + 3*b**u + 2*b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) -4\/123 (b) -2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = 3, -3*i - 23 = 4*a. Sort -2, 4, i, 2 in descending order.\nAnswer: 4, 2, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2937, 2, -1\/143, -0.71?\nAnswer: -2937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8*q + 0*q - 3*q + 2 + 2*q.\nAnswer: 7*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:22 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154192 at most as big as 154194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/5 (b) -28 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**2\/2 + 2*o. Let r(j) = -j - 26. Let x(h) = -r(h) + 6*w(h). Is x(0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -476.1 + 476. Which is the nearest to o? (a) -4 (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206261412 divided by 34376902.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 5, -0.8167, 0.5?\nAnswer: -0.8167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 117, 210, 293, 366, 429?\n\"Answer: -5*u**2 + 108*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77409 is divided by 1385?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-2)\/(-3) - -6. Suppose -i*g = -33 - 67. Is g*(-2 - 1)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74)\/888 + (-137)\/(-60) + -3.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -76586 (base 13) to base 15\nAnswer: -4365e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-11)\/(c*c\/c**1)*(c**(-4\/5)\/c)\/((c\/(c*c\/(c**(-3\/8)\/c)))\/c) assuming c is positive.\nAnswer: c**(-417\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*u + 7. Suppose u*l + 0*o + 5*o = 532, -3*o + 184 = l. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1871*f - 1487*f + 1973*f)*(3 + 1 - 1) in the form g + q*f and give q.\nAnswer: 7071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 871\/8 <= 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*z - 1958*i**2*q*z - 8*i**2*q + i*q*z - 11*i*q + i*z + 43*z + 19 wrt i.\nAnswer: -12*i*z - 3916*q*z - 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -763, -1141, -1517?\nAnswer: -1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-20) - (-4)\/(-10). Suppose 3*m - o - 19 = v, 3 = -m - o + 4. Solve -3*b - 16 = 2*t, -11 - 7 = -t + m*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -19*o - 20. Let l be w(3). Let b = 79 + l. Suppose -10*g = -78 - b. Let v(n) = n. Let y(d) = 3*d + 1. Give g*v(i) - 3*y(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 + -0.1. Let l = 16728 - 117098\/7. Let x = -2 + -2. Which is the closest to x? (a) l (b) z (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -19. Solve 0 = r*s - 0*s + 2*l + 19, 0 = 2*l + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.062 - -0.06336. Round f to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*l + 3*i, 0 = -3*l - 3*i - i - 8. Let z = -523 + 458.9. Let n = z - -64. What is the second biggest value in 1, n, l, -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.24 + -0.24. Which is the second smallest value? (a) -2\/3 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -110, -181, -268, -377, -514?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by 886?\nAnswer: -29\/886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 16*k**2 + 17*k**2)*(105*k + 83 + 102*k - 208*k) to u*k**3 + r*k + h + w*k**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**17\/p)**(-5\/2))**(7\/5) assuming p is positive.\nAnswer: p**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2 + 2 + 5*i. Let g(z) = 3*z**2. What is g(b(r))?\nAnswer: 75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 152\/168 - ((-72)\/189)\/4) + 23.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3 - k - 6 - 6 + 4. Let r be d(-16). Factor -4 + 3*y - 12*y**2 + r*y + 8*y**2.\nAnswer: -4*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 2181*i - 2185*i - 4, -3*t - i = -6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 591776455 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*i**3 + 183*i**2 - 92*i**2 + 75*i**3 - 91*i**2 - 6*i.\nAnswer: -2*i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b2b5 + 102?\nAnswer: b3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/(-12))\/(2\/(-8)). Suppose -o + t*o = -48. What is the units digit of o\/8 - 875\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a**2 + 1\/3*a**6 + 0*a**4 - a**3 + 0*a + 9 + 0*a**5. Find the third derivative of c(v) wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/6 + 7*o**5\/30 + 10*o**3\/3 - 2*o**2 + 7. Let u(p) = -7*p**3 - 5*p**2 - 7. Give 5*f(z) + 14*u(z).\nAnswer: 2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 9072*k**3 - 9081*k**2 + 18150*k.\nAnswer: 3*k*(k - 3025)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912504 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*v + 13, -2 = 2*o + 5*v - 1. Solve 4*p + 3*a + 1 = -1, -o*p - 2 = a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -7*t**4\/12 + t**3\/6 - 17*t. Let z be 6\/((-2)\/10*(-9)\/(-12)). Let w = -41 - z. Give j(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -26. Suppose 3*v + 20 = w. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375804777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*j = -3 + 13, -2*j = v - 8. Suppose -v*o - 12 = 0, -1 = -3*w - 4*o - 4. Let x(r) = -2*r + 2. Let z(i) = -4*i + 3. What is w*z(a) - 5*x(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8193490 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49635571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -955 + 41*r + 738 - 28*r to f*r + j and give j.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Let j(x) = -3*x - 4 + 0*x**2 - 1 + r*x**2 + 7. Determine j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384791 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 29*x**2 - 192*x - 5. Let l(b) = 3*b**3 + 44*b**2 - 288*b - 7. Let n(h) = 7*j(h) - 5*l(h). Find the second derivative of n(o) wrt o.\nAnswer: -6*o - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*t**4 + 16*t**2 - 66552*t + 1 wrt t.\nAnswer: -1464*t**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from iyyfnffvf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-23 + 22 - (0 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 6 = -f, 7*y + f + 8 = 9*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -116 (c) 31 (d) -2 (e) 1\/4 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39385058 is divided by 517.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10*12)\/(2076\/(-13840))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 23028 = -2*k, 0 = -r - 3*k + 2310 + 2293. Calculate the highest common factor of 564 and r.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -102, 39, 224, 465, 774, 1163?\nAnswer: 1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u - 14. Let g be (-1)\/(7\/4 - 2). Let d be g + -1 - (2 - 3). Let l(p) = -2*p - 5. Calculate d*v(j) - 11*l(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 1\/120*b**6 - 1\/3*b**4 - 2*b**2 + 59*b - 7\/6*b**3 - 2\/15*b**5 + 0. What is l(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = g + 6, 3*j - 2*g - 3 = 0. Suppose o = 4*p - 7*p + 25, 40 = j*p - 2*o. Suppose -2*u = 18 - p. Is u >= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 61*q**3 + 2*q**3 - 29*q + 15*q + 11*q as s*q**2 + z*q + o*q**3 + j and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1815\/52 - 139\/4. Let v = -3 - -4. Sort 2, n, v in descending order.\nAnswer: 2, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*(-9)\/(-6). Let m(h) = -2*h + x - 2 + 1. Let f(n) = -2*n. Give m(f(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301 and 16469.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*n**3 - 11829284*n**2 - 1749150682336*n - 349829663296.\nAnswer: -4*(n + 295732)**2*(5*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2 + 2 + 1. Let d(s) = 3 + 432*s**3 + 62*s**3 - 497*s**3. Give -2*d(k) + 6*i(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3414062 - 425?\nAnswer: 3413334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 + -120. Let a be 2\/10 - 2\/(-10). Let p = a - -4\/15. What is the nearest to p in 2\/21, 13, b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 312008*f + 6012. Let w be j(-14). What is w rounded to the nearest 10000?\nAnswer: -4360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 16 - 22 = 0. Let f be c + 0 - (2 - (-9)\/(-3)). Solve f = -5*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c + c. Suppose 19*m - 2089 - 1369 = c. Calculate the highest common factor of m and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 93*c**2 + 390*c - 20184. Determine i(-99).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5026*h**2 - 69*h**2 + 1321*h**2.\nAnswer: 6278*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -73, -0.2 in descending order.\nAnswer: 1, -0.2, -4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*o + 1914 = 237*o. What is the greatest common divisor of o and 891?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142669?\nAnswer: 23, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -19 - 71. Solve -31*k + 16 = -j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5\/11 + 10*t**4\/11 - 16*t**3\/11 + 8*t**2\/11.\nAnswer: -2*t**2*(t - 2)**2*(t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1143758609 divided by -4\nAnswer: 1143758609\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -123 times -1.750761\nAnswer: 215.343603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*l**2*y**3 - 1611785*i**2*l**2*y - 107*i**2*l*y**2 - i**2*l - 2*i*l*y + 3*l*y**3 + 113*l wrt l?\nAnswer: -4*i**2*y**3 - 3223570*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*f**5 - f**5 + 59*f**5 - 83*f**2 wrt f.\nAnswer: 5760*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 15) in base 3?\nAnswer: 102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 + 660*q**4 - 866*q**2 wrt q?\nAnswer: 120*q**3 + 15840*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -14b699?\nAnswer: 14b686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 + 30*y**2 - 6*y + 8. Let s(z) = -23*z**3 - 90*z**2 + 19*z - 25. Determine -6*s(u) - 19*v(u).\nAnswer: 5*u**3 - 30*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -428*a*f**3*o + 6225*a*f*o*r**2 - 7*f**3*o*r - 2*f*o*r**2 + 1732045*r**2 with respect to a.\nAnswer: -428*f**3*o + 6225*f*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11771548 and 7188?\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15, -2\/87, 0, -3, -3\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (177\/(-42) - -4)*119\/(-765). Let q(a) be the second derivative of 0 - 1\/20*a**5 + 1\/6*a**3 + b*a**6 - 4*a - 1\/12*a**4 + 0*a**2. Factor q(m).\nAnswer: m*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v - 5. Calculate t(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-536)\/(-201)*(-120)\/(-128)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 1427554*y**2 + 1427554*y**2 - 6.\nAnswer: -6*y**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1727*-2.15.\nAnswer: 3713.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, t: 1, a: 5, l: 3}. Give prob of sequence taa.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13590439.\nAnswer: 149, 197, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-5))\/(18\/(-120)). Let w = q + -4. Suppose -t = t - w*y - 14, 5*t + 2*y = 59. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*p + 261*p - 92 + 278*p + 92 + 581*p.\nAnswer: 895*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = v - 2, 0*a + 15 = -5*a. Suppose v*u - 6*u + 5 = 0. Let k(z) = z + 1. Let l(t) = -10*t - 4. Let r(b) = u*k(b) + l(b). Determine r(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**3\/7 - 836*w**2\/7 - 1688*w\/7 = 0.\nAnswer: -2, 0, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = -1. Suppose -y*j = -3*u - 79, 0*j - 71 = -4*j - 5*u. Let o = 33 - j. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 1165?\nAnswer: -1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 4 - (-2 - -2)) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239 = 284*y - 321*y - 537 + 1037 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1131 - -596. Let n = m + 3751\/7. Factor -n*s**2 - 4\/7*s - 1\/7*s**4 - 1\/7 - 4\/7*s**3.\nAnswer: -(s + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a kilometer in meters?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -0.3, 24, 2 in increasing order.\nAnswer: -0.3, -0.07, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -245*d**5 + 44940*d**4 - 149435*d**3 - 316920*d**2 - 140300*d - 18000 = 0.\nAnswer: -1, -2\/7, 5, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -198\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = -0*q. Suppose -5*x + 35 = -5*m, q*m - 56 = -3*x - 2*m. Solve -x = 4*g - 0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 548190616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*x**5 - 25*x**2 + 54*x**5 - 17*x**5 - 32*x**5 wrt x?\nAnswer: -1440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 - 208 = -i. Let d be (-1)\/i - (-1)\/((-20)\/(-296)). Suppose 0*s + 2*s = -5*l + 40, -5*l = 4*s - 60. What is the highest common factor of s and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + n**2 + 2*n. Suppose 33*a + 291 = 36*a. Let z = -99 + a. Determine y(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -10, 2, 18, 38, 62?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 99, -2, -4 in descending order.\nAnswer: 99, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bccg when four letters picked without replacement from {g: 9, c: 4, b: 4}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) -0.3 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c279 (base 15) to base 4.\nAnswer: -1230321300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -3) + 1\/(-1). Solve -10 - 6 = 2*f - 2*b, -3*b + 9 = o*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0.5, -2\/31, 0 in descending order.\nAnswer: 0.5, 0, -2\/31, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/((-22)\/27720*-45)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -72. List the prime factors of (250\/(-40))\/((-2)\/8) - m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 - 94*k\/3 - 264.\nAnswer: -2*(k + 11)*(k + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 10 - (86 - 169 - (1 + -10)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1076 - -1517. What is the greatest common divisor of o and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = 0, -4*n + 11 = g - n. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:55 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -32 - -25 - (-22)\/(-2). Let y = j + 106. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 18 + 12 - 2*a**4 + a + 7 in the form w*a**3 + v*a**4 + h*a**2 + i + c*a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*c**3*j**3*k**2 - 2*c**3*j**2*k**2 - 2*c**3*j**2*k - 40*c*j**3*k**2 - 48*k**2 wrt j.\nAnswer: -84*c**3*k**2 - 240*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*w**5 - 33*w**5 - 2*w**6 + 17*w**5 + 7*w**2 - 16 wrt w?\nAnswer: -240*w**3 - 2640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 4*j + 4. Let w be h(2). Suppose -5*g = -5*p + 30, -p = -4*g + 2 - w. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 less than 1385\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/((-11)\/((-110)\/75))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 148*g\/3 + 146\/3.\nAnswer: 2*(g - 73)*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326754195.\nAnswer: 3, 5, 17, 1281389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2943*c**3 - 20607*c**2 - 29472*c - 60 = 0.\nAnswer: -5, -2, -2\/981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 1 (b) -1 (c) 0.1 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjj. Give prob of picking 4 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8276139 is divided by 67.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 3, l: 5, z: 1, a: 1, i: 6}. Give prob of sequence ya.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(-16 - 13 - 7)*(2*j - 3*j - 8*j).\nAnswer: -648*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*j - q - 25, 10 = -3*j + q. Let y(t) = -2*t + 4. Let p(x) = -3*x + 3. Let z(r) = j*p(r) + 4*y(r). Determine z(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4257*x - 17631. List the prime factors of z(8).\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d + 8 - 11*d + 1 + 0. Let m be p(4). Find the third derivative of -j**6 - 2*j**4 + 2*j**2 - 3*j**4 + m*j**4 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**7\/14 + w**6\/10 - 3*w**5\/10 + 7*w. Determine s so that k(s) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*(-6)\/(-28). Sort 0.1, 0, g.\nAnswer: g, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18100927 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64 + -3aa37?\nAnswer: -3a9c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/148*(2 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*r + r = 7, 0 = a + 4*r - 29. Let y(s) = -9*s - 9. Let w(m) = 4*m + 4. Calculate a*w(g) + 6*y(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5344 = -l + 742, -5*l = 4*a + 4594. Let s be 4 + 3 + a\/164. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 4, 9379, 1 in decreasing order.\nAnswer: 9379, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.444 - -8276987439.\nAnswer: 8276987439.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 219 - 23*r**3 + 20*r**3.\nAnswer: -r**3 + 219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2095 (base 14) to base 7\nAnswer: -22245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -20, -23, -28, -35?\n\"Answer: -r**2 + 2*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*c - 84. Let b = c + 81. Suppose 2*g + b = 5*i, -2*i + 3*g + 21 = i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = 11*s - 65, -38*v + 26 = -2*s - 40*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*x + 36*x - 714. Suppose 0 = 17*s - x - 544. What is the greatest common divisor of 184 and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2225, -19, -3, -1 in ascending order.\nAnswer: -2225, -19, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100121111002 + -112100?\nAnswer: -100122000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 + 16 = 0. Let y be (m\/2)\/(14\/(-28)). Suppose -y*q = 3*r - 171, 2*r + 31 = -5*q + 145. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 28*h + 3*h**3 - 28*h.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9973 times 156079?\nAnswer: 1556575867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001261822911 rounded to seven dps?\nAnswer: 0.0012618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1*sqrt(832) + 2 - sqrt(832))**2)*4.\nAnswer: -256*sqrt(13) + 13348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 8*a**2 - 4*a - 3. What is the remainder when 56 is divided by h(-8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuuuuuuu. Give prob of picking 4 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvoooovv. What is prob of picking 2 o and 1 w?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3718, 7481, 11248, 15019, 18794, 22573?\n\"Answer: 2*f**2 + 3757*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1523004 (base 6) to base 15.\nAnswer: 1b48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*x = -59*x - 121. What is the remainder when 106 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 431810, 431908, 432060, 432266?\nAnswer: 432526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 36, 1\/6, -86\/3 in decreasing order.\nAnswer: 36, 1\/6, -1, -86\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 - k**2 - 8 - k**2 - 2*k**3 + 2 - 4*k**4 to the form v*k**3 + a*k**4 + q*k**2 + w*k + h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184018671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192*(-1278)\/7952)\/(8\/(-14))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = -29715. Let v = 178201\/18 + b. Let z = -889\/4 + 435\/2. Find the common denominator of z and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5 + 2*n - 5. Let k(h) = -3993*h**2 + 7050*h**2 - 3052*h**2. What is k(r(a))?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 15 + 1167*o**2 - 36 + 1078*o**2 + 1215*o**2 in the form k*o**2 + q + h*o and give k.\nAnswer: 3460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15335)\/5445 - 6\/27. Let p = g - -100\/121. Calculate the common denominator of -35\/9 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**(2\/17)\/h*h)\/h)\/h)\/h)\/h**(-2\/11))**(28\/3) assuming h is positive.\nAnswer: h**(-14140\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 + 279*h**2 + 3672*h + 11340 = 0. Calculate h.\nAnswer: -6, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*g = -o - 14, -o + g - 5 = 0. Let w = 1 - o. Let k(n) = 3*n - 11. Let c be k(5). Solve 5*x - c*t = 2*x - 10, w*x + 5*t = 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*b, -32*w + 5*b + 3964 = -28*w. Is 82 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101937939 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156*h*r**2 - 480*h*r + 98*r**2 + 2005*r wrt h?\nAnswer: 156*r**2 - 480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2485 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - n + 2*n + 42, 41 = 3*d + 4*n. Let h = d - 7. Suppose h*j = 4*y - 32, 2*j + 3 = -5. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*r**2 + 8*r**2 - 9*r**2 in the form p + s*r**2 + k*r and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*h*o**4 + h*o**3 + 57*h*o + 24*h - 136*o**4 + 13 wrt o?\nAnswer: 348*h*o**2 + 6*h*o - 1632*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -192, 0.29, 1, -1\/2, 0.16?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100146 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: 16 + (-106 - (34 - 5)) + 12\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*r + 18 = -3*c, r = -5*c - 30. Let j = -4 - c. Suppose -w + 2 + 1 = 0. Solve 0 = -k - w*h + 4, 5*h - 3*h - 4 = -j*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261220 divided by -4?\nAnswer: 65305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -345\/29 (b) -69 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 50877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -216 + 536*t**3 + 111*t - 65*t**2 + 81*t**2 - 9*t + 95*t**2 - 533*t**3.\nAnswer: 3*(t - 1)*(t + 2)*(t + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 5:22 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16122288 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 91*u**2 + 77*u - 1367. Give z(-92).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbb when four letters picked without replacement from {i: 3, b: 15}.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 320*i + 39 - 344 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 - 9020300*t + 4068290604500 = 0 for t.\nAnswer: 902030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -428 + 546. Suppose -o = -2*v - 5*l, 3*v = 5*l + 173 - 21. Is v at most as big as 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 3. Let u(i) = 4*i - 16. Let k(x) = -x**3 + x**2 - 4*x + 1. Let z = 546 - 544. Let c be k(z). Determine c*s(v) + 2*u(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/12 + 5*k**3\/3 - 7*k**2\/2 - 5*k. Let a be m(8). Suppose a*y = 5*y + 36. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 128.186?\nAnswer: 51.2744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d - 53*d = 44*d - 87532. Calculate the remainder when d is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8523)\/63 - 4\/(-14). Let f = r + 140. Let o = 24 + 16. Solve f*i = 4*g + g + o, 0 = -2*i - 3*g - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 100 - (6 - (9 + (-14 - -7))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1518 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75573, 80975, 95641, 124203, 171293, 241543, 339585?\nAnswer: 470051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/5))**(-2\/31)\/((s*s**0)\/(s**(2\/9)*s)))**(-36) assuming s is positive.\nAnswer: s**(-1024\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 87\/2*q**4 + 87\/2*q**2 + 2523\/2*q - 3\/8*q**5 - 10089\/8*q**3 = 0.\nAnswer: -58, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 29. Suppose -b + 10 = b. Suppose 6 = -v + 3*v, -t + b*v - h = 0. Solve -t*m - 2*m - 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 + 2*l - 2. Let c be m(1). Let y be ((-14)\/(-2))\/(c\/12). Suppose 4*f - y = -8. Solve 20 = -f*q - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -15, -5 = c + 4*c + q. Suppose 5*u - 6 = -2*i, 0 = -u + 3*i + i - 12. Put 9, c, u in descending order.\nAnswer: 9, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/512)\/(54\/192).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, j: 1, s: 3, l: 1, i: 1}. What is prob of picking 1 j, 1 i, 1 l, and 1 s?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 9*z - 1\/5*z**5 + 0*z**3 + 0*z**4 + 2\/5*z**6 + 0*z**2 - 4\/21*z**7 + 0. Factor h(q).\nAnswer: -4*q**3*(q - 1)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 + 2*l + 2. What is the units digit of o(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2173 + -2164. Sort a, -7\/9, -2\/7, -2\/23 in descending order.\nAnswer: a, -2\/23, -2\/7, -7\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/4 and 17\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let y be (1\/g)\/(2\/756). Let r be (3045\/(-120) - -22)*-8. Calculate the highest common factor of r and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245625059?\nAnswer: 31, 2707, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b*b**(-2))*b*b)\/b)\/b*b*b**(-4))**(1\/7)*((b**0*b)\/(((b**(-5\/6)\/b)\/b)\/b))**(1\/41) assuming b is positive.\nAnswer: b**(-289\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*d + 1, 2*r = r - d + 7. Let t be 8\/(-12)*6 + 19. Suppose 2*c - 5*g = -2*c + 25, 3*c - 3*g = t. What is the closest to -3 in 2\/9, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*j, 82 - 77 = 5*j - 2*g. Solve t + 3*b + 6 = 0, -j*b - 8 = -2*t + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -76. Let p = 185 - 192.04. Let z = 7 + p. Put s, -0.5, z in decreasing order.\nAnswer: s, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2)\/sqrt(4) - (sqrt(19) - (sqrt(133)*-1)\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 13*v**2 + 47023*v - 86856 = 0?\nAnswer: -3619, 24\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jryr when four letters picked without replacement from {u: 4, p: 3, r: 2, y: 4, z: 2, j: 3}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00679257 and -70.\nAnswer: -69.99320743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -344390, 0.1, -2\/21, 6 in descending order.\nAnswer: 6, 0.1, -2\/21, -344390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53504*d - 27414*d - 4 + 2 + 3.\nAnswer: -80918*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*o + 2*o - 10, -5*s + 28 = 4*o. Let n be (-12)\/10*(-10)\/s. What is the second derivative of -l**4 - 3*l**4 + 2*l - n*l wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = -6*x. Suppose -f - 12 = 4*h, -5*h + 0*f + f - 6 = 0. What is the units digit of h - (x - (5 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x + 11*x. What is l in 1\/2*l - 1\/2*l**3 + 0*l**2 + x = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/3))**(-2\/5)\/(f\/f**(3\/7)*f*f**0) assuming f is positive.\nAnswer: f**(-151\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*l**2 + 4*l**2 + 4*l**2 + (-l + 3*l + l)*(-2*l + 1 - 1) to h*l**2 + r + v*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 10445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-3\/4))\/(o**(-19)*o)*o*o**(-1\/43)*o*o\/(o\/o**(10\/3)) assuming o is positive.\nAnswer: o**(12157\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 11*o**2 - 8*o + 2. Let g(v) = v**3 + 5*v**2 - 4*v + 1. Determine -4*a(r) + 9*g(r).\nAnswer: r**3 + r**2 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*o - 20 = 7, -5*v + 3*o = -35. Suppose -2*t - 5*u = -20 - 1399, 2773 = v*t - 3*u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0291 - -2.8559. Let n = 0.115 + y. Which is the second biggest value? (a) n (b) -1 (c) -3\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/80 and -55\/33752?\nAnswer: 337520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*a + 7*a - 99 + 295 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaaqaaaaaaaa. Give prob of picking 1 q and 2 a.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -371*m**3 + 25817*m**2 + 3 - 5 - 25817*m**2 to d*m**3 + i*m + p + c*m**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7719987 to the power of 1\/2, to the nearest integer?\nAnswer: 2778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2566793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 12:38 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9*(-163 + 10)*-9)\/(3\/(-8))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1 + -8)\/((4 + -9)\/180)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 15. Which is the closest to 1? (a) 0.4 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4412 and 83461804.\nAnswer: 4412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**3 - 4*k**2 + k. Let w(l) = -5*l**3 - 5*l**2 + l. Let u(d) = -3*n(d) + 2*w(d). Calculate the remainder when 21 is divided by u(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Suppose -m*h - 87 = -19. List the prime factors of 1 - h - (0 + 3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**4\/24 + 20*b**2. Let v(a) = 21*a**2. What is v(g(p))?\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 14 = x - 2*o, 4*x - 3*o - 31 = 0. Let p be 2*(-2)\/x*-2. Let y = -1.5 + 1.7. Sort 2\/11, p, y.\nAnswer: 2\/11, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - 45. Let m = -113 - q. Which is the nearest to 0? (a) m (b) 1 (c) -1\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(405) - -6*(sqrt(405)*2 + sqrt(405)))**2 + (sqrt(405) - (1 + sqrt(405))**2*-5)) + -4.\nAnswer: 396*sqrt(5) + 592936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -318*a**2 - 3159*a - 138. What is v(-10)?\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(8\/(-3)))\/((-231)\/(-28)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2391921, -2391906, -2391867, -2391798, -2391693, -2391546, -2391351, -2391102?\nAnswer: -2390793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 0 - (-1 + -5). Suppose 2 = t*p - 13. Is 7 a factor of 35 + (0 - 3)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + 2)*1 + -4)**2 + 6*((sqrt(28)*2)\/sqrt(2))\/sqrt(7).\nAnswer: -24*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i - 85 = 0. Suppose p - 67 = -1. Calculate the remainder when p is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*w - 10. Suppose -2*h = 4*l + 156, -w*h + 2*l = -3*l + 360. Let c = 78 + h. Solve 0 = -c*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/5)\/g*g*g)**(-15))**(-1\/8)\/(g**(-8\/3)\/(g\/(g*g**(-4)*g)))**(-10\/11) assuming g is positive.\nAnswer: g**(-581\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 7*u - 15. What is the remainder when 160 is divided by g(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101 (base 2) to base 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55696, -55641, -55550, -55423, -55260?\n\"Answer: 18*o**2 + o - 55715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-12))\/(4\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -112010 (base 3) to base 11\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 218835.\nAnswer: -2407185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/((-24)\/14))\/((-1)\/(-3)). Let c(q) = q**3 + 8*q**2 - 7*q - 7. Let p be c(u). What is the highest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 13*r**2 + 23*r - 3. Let c be y(-19). Suppose -14*b = -12*b - c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/29 and -1\/261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10538338*u**5 - 2*u**4 - 30520904*u**2 wrt u?\nAnswer: 632300280*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.2429672 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, -2\/11, 1\/2, 10\/307 in descending order.\nAnswer: 1\/2, 10\/307, -2\/11, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/3 and 2\/8 - (9 - 7804\/720).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4572 = -2*z. What is the units digit of (z\/(-72))\/((-1)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5762 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:22 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 43. Is 1160 + 0 - (-4 + 7)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*g + 292*b - 289*b, 3*g - 2 = 5*b. Sort 1, -4, g, 8 in decreasing order.\nAnswer: 8, g, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/3 + 95\/12. Which is the smallest value? (a) -4 (b) m (c) 0.5 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 plus -22428993?\nAnswer: -22429059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 8*l = 45. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**6\/51 + 12*o**5\/85 + 5*o**4\/17 - 104*o**3\/51 - 105*o**2\/17 - 100*o\/17 + 68. What is l in h(l) = 0?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -74, -299, -750, -1505, -2642, -4239, -6374?\nAnswer: -9125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*q**5 + 480112*q**4 + q**3 + 523526*q**2 + 34*q - 1?\nAnswer: 840*q**2 + 11522688*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 66\/85 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/12449 and -11\/26727?\nAnswer: 5639397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-936)*3*-8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1056, -4737, -10888, -19509?\nAnswer: -30600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 50\/(-225) + 4\/18. Which is bigger: 15\/11 or i?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2384304 divided by -312.\nAnswer: 7642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 6*d**2 + 155*d + 186. What is h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**9\/504 - 19*q**5\/60 + 32*q**2. What is the third derivative of p(d) wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*h = 20, h - 15 = -3*p + 2*p. Let g = -5 + p. What is the smallest common multiple of 5\/(-1)*24\/(-10) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a - 5*a = 4*a. Let f(v) be the second derivative of 0*v**2 - 1\/4*v**4 - 2*v**3 - 37*v + a. Find d such that f(d) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -958 less than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 281.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 a factor of 1268838244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644253?\nAnswer: 3, 23, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/36 - 2*t**5\/15 + t**4\/8 + 2*t**3\/9 - t**2\/3 + 29. Factor f(v).\nAnswer: v*(v - 2)**2*(v - 1)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/6 + 3769*v\/3 + 37640\/3 = 0?\nAnswer: -7528, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b**2. Let m(h) = h - 3. Let p(r) = -2*r + 4. Let y(t) = -4*m(t) - 3*p(t). Determine y(g(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + sqrt(112) + sqrt(112)*2)*1 + sqrt(112))\/sqrt(4))\/(sqrt(44)\/sqrt(275)*-3).\nAnswer: -25*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 22, -615296 in ascending order.\nAnswer: -615296, -5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.435 - -0.435. Which is the smallest value? (a) 3 (b) 0.6 (c) v (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13612, 27260, 40910, 54568, 68240, 81932, 95650, 109400?\nAnswer: 123188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-42))\/(3\/(-4734)). Let o = -260 + t. Factor 3*h**o - 4\/3 + 11\/3*h**2 - 16\/3*h.\nAnswer: (h - 1)*(h + 2)*(9*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5392 - 5389. Calculate the lowest common multiple of h and 348.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63213 equal to 63224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 - 2*m**4 - 5*m**4 + (m**2 - 1 + 1)*(-3*m**2 - 4*m**2 + 4*m**2) to the form i*m**3 + s*m**2 + n + o*m + f*m**4 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.0491 and -0.3.\nAnswer: -2.11473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 10 + 2, 3*d + 5*g = 35. Suppose 18 = 3*b + 3*t, -t + 36 = d*b + t. Calculate the remainder when 23 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.187779 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1593689124 to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(130)\/((-2*sqrt(70))\/sqrt(7)))**2.\nAnswer: -5*sqrt(13) + 113\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(10) + (sqrt(10) - sqrt(1210)*-5)).\nAnswer: sqrt(19)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 83*c**2 - 164*c**2 + 83*c**2. Let b(y) = -11*y**2 - 2. Give b(q(u)).\nAnswer: -44*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9) - 1248\/(-144).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159609361 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - (0 + (2 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9688770 divided by -17745?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (-19)\/(-3) + -2. Let h = -54872 - -54865. Suppose -10 = -5*f, 4*f - 14 = u - f. What is the closest to h in u, -0.3, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqjjjxajaag. What is prob of sequence gg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -67*h**2 - 1. Let r(m) = 3*m**2. What is -q(d) - 6*r(d)?\nAnswer: 49*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 0 + 1\/3*a**3 - 26*a - 5\/2*a**2. Determine w(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1682*b**3 - 29*b**2 + 86*b - 213450932?\nAnswer: 5046*b**2 - 58*b + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22000203 (base 4) to base 12.\nAnswer: 1b883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/(-7) + 3 - (-768940)\/140.\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13027 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -2 + -24 + -21 + 1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(204) + sqrt(204)*2 + sqrt(204)))\/(sqrt(972)*-1) - ((6*-2*sqrt(833))**2 - (sqrt(833)*-1 + 4)).\nAnswer: -119948 - 55*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 10. Let w be z(-10). Let b be (w\/(1\/1))\/(-3). Suppose b - 4\/5*a - 2\/5*a**2 = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1039674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6424)\/(-184) + -35 - (-3)\/((-621)\/(-60))*90?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/(-3)) - -8. Let l = b - 3. Solve -h + 4*i = -5*h + 8, -3*i - 22 = -l*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 5550.\nAnswer: -4\/2775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**4 + 3*a**3 + 67*a**2 + 68*a - 1021 wrt a?\nAnswer: -36*a**2 + 18*a + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -135a1 - -149?\nAnswer: -13458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6592 and 29973?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x - 33. Let a(l) be the first derivative of l**2\/2 + 4*l + 8. Determine 33*a(c) + 4*u(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -504?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -535 - -541. Solve -4*p = -3*q + z*q - 3, 2*p = 2*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*v - 15, -2*v = 2*r - 0*v. Suppose -20*c + 49 = 89. Sort r, -4, c in decreasing order.\nAnswer: c, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3523 at most -3917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 45 - -14 - -1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16 - 392\/24 - 1367\/(-15). Is f greater than or equal to 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29944920 to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -4*n - 8. What is the tens digit of n + 0\/2 + 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 + 1. Let y be f(1). Let m = 8 - 8. Which is the third smallest value? (a) y (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 144240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*g - 5*g + 54*g)*(0 + 1 + 0)*(-12*g**2 + 32*g**2 - 10*g**2).\nAnswer: 650*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 3*k**3 - k**3)*(-3 - 5 + 7).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 5*n**2)*(-3 - 2 + 5 - 24*n).\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:17 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/4)*s\/(s*(s\/((s\/((s*s\/(s*s\/(s\/s**7))*s*s)\/s))\/s*s*s))\/s)*s**3*s**(-3) assuming s is positive.\nAnswer: s**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 479, 825, -1, -2, 5 in increasing order.\nAnswer: -2, -1, 5, 479, 825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/272 and 63\/488.\nAnswer: 16592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/167? (a) -1\/73 (b) -0.2 (c) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21 - 2 - (1 + -3). Let c be (2\/(-3))\/(14\/l). What is the remainder when 43 - ((-3)\/c + -3) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17103 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -53*v - 206. Let q be l(-4). Do 10 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 161, 162, 163, 164, 165?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**4 - 2428*o**3 - 272692*o**2 - 9300068*o - 102413616 = 0 for o.\nAnswer: -43, -29, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2*(-12)\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 3:45 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 0 - 3 - 12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 - -2) + (-2)\/2. Let f(o) be the first derivative of o**2\/2 + 24*o - 197. What is the units digit of f(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -96, -1305, -4584, -10965, -21480, -37161, -59040?\n\"Answer: -172*a**3 - 3*a**2 + 4*a + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/(t**9*t))**(-8\/15)\/((t\/(t\/t**(-3)))\/t*t**(-7)*t*(t*(t**(-1)\/t)\/t)**25) assuming t is positive.\nAnswer: t**(964\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 + 2*c**2 + 2. Suppose -5*v = -3*v + 30. Let g = v - -13. Let m(o) = -5*o**3 - 3*o**2 - 3. Calculate g*m(r) - 3*y(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*g + 27 = b, -2*b - 12 = -4*g. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 17. Let p be -20 + (9 - (-30)\/(-6)). Let a be x(p). Is -9\/5 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y**(-1\/35)\/y)**43)**29)**22)**9 assuming y is positive.\nAnswer: y**(8394804\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.11, 17\/4, 0.2 in ascending order.\nAnswer: -2\/9, 0.11, 0.2, 17\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 7 = 13. Suppose -1 = s*d - 3*c, -c = -d - 0 - 1. Let x(p) = 20*p + 5. What is the units digit of x(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 18. Suppose 287 = t + d. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 221974.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1628133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, d: 4, h: 3}. Give prob of sequence qd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2, -106 in descending order.\nAnswer: 5, 2, -1, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 3*z - 20, -3*k + 5*z = -26. Suppose -k*c = 2*c - 8. Suppose 6*j + 31 = j - 2*a, 3*j = 5*a. Sort c, 5, j in decreasing order.\nAnswer: 5, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102539600 to the nearest 100000.\nAnswer: 102500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + 2*c**2 + 8*c - 14. Let d be r(-6). Let p = -660 + d. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + -8 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 + -1)) + (11 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63.302201 + -63.3. What is r rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*m - 910. Suppose c = -c + m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 875 + 335. Let z = d - -567. Which is the third smallest value? (a) z (b) -5\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4160 = -4*b - 9*b + 4056 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150402794*k**3*s + 49*k**3 + 220299*k wrt s.\nAnswer: 150402794*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1088*g + 13. Is h(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 7392.\nAnswer: 110880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 10:21 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.07 + 0.07. Suppose 8*l + 11 = 3. Which is bigger: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1653*b + 1640*b - 78 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let d(c) be the first derivative of -9*c**2 + 4*c + 7. Let z(f) = 53*f - 12. Let k(o) = 8*d(o) + 3*z(o). Give k(a(y)).\nAnswer: 30*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*q = -13, 7*q + 47 = -5*s + 3*q. Sort s, -2, 5, 2 in descending order.\nAnswer: 5, 2, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919763895 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 1630*c - 50925.\nAnswer: -5*(c + 35)*(c + 291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 67437011 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 1 - 2*q)*(-2*q**4 - 9*q**4 - 3*q**4).\nAnswer: -14*q**5 + 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1814\/7 or 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 723\/2, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79\/632 + (-17)\/(-24).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -164*m + 2. Let y(n) = n**2. Determine y(t(x)).\nAnswer: 26896*x**2 - 656*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)*v**1\/v)\/(v**(2\/21)\/((((v\/v**(-6))\/v)\/v)\/v)))\/(v**(4\/5)\/((v**8*v)\/v)*(v\/(v*v**(-1)))**(-27)) assuming v is positive.\nAnswer: v**(1322\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.466 to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/21 and 71\/2399589?\nAnswer: 16797123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, -0.04, 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 2:43 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11083038.\nAnswer: 2, 3, 41, 45053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 441 = y, 87*y + 445 = v + 92*y. Calculate the lowest common multiple of 35 and v.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*j**6 - 976*j**4*p - 112*j**2 + 9371*j*p wrt j.\nAnswer: -11640*j**3 - 23424*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 - 3*h - 2. Let x(f) = f**2 + 10*f + 12. Let k be x(-9). Suppose d + 10 + 2 = 5*p, k = 4*p - 3*d. Let r be (5 - p) + 1*-4. Determine i(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*n**3 - 5*n**2 + n - 1285?\nAnswer: -426*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6239 (b) 3\/4 (c) -0.2 (d) -3 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 13) in base 15?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -l + 10, -2*l + 15 = -1264*v + 1263*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Suppose 2*m + y*m = -3*r - 14, -4*m - 24 = -2*r. Suppose -r*q = -6*q - 2*x + 66, 25 = -5*x. Calculate the remainder when 56 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 4*t**2 + 2*t - 2. Let w be h(4). Let k(n) = -n**2 + 8*n + 3. Let o be k(w). List the prime factors of 5\/o*13*3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 484.188714 to one decimal place.\nAnswer: 484.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*y + 0 + 0*y + 7*y**4 - 5 wrt y.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 67. Let v be b\/5 + 3\/(-5). Is (-2)\/v*906 - 4\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18888 and 712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13245046?\nAnswer: 2, 6622523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*220\/(-10) + (-39 - 28)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -52, -82, -112?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33912754 is divided by 204.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 31*i**2 - 20*i + 40. What is n(6)?\nAnswer: 1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62*45\/(-12090)*(-2)\/(-30)?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -207 and 0.3?\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87942653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmm when three letters picked without replacement from jmjmttmbmbtmm?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 37. Suppose -5*k = i - 99. Calculate the remainder when 51 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 133*z**3 + 2*z**2 + 10*z - 13. Let k(n) = 44*n**3 + n**2 + 3*n - 4. Determine 4*j(x) - 13*k(x).\nAnswer: -40*x**3 - 5*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 10:39 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -11*o - 27. Let x be n(-3). Solve -2*d - 12 = -x*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v + 2. Let d(s) = 3*s - 1. Let t(y) = -8*d(y) - 5*z(y). Suppose 2*c - 12 = -2*w, -c + 30 = 5*w - 2*c. Calculate t(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 35 = -5*u, 3*s - 2*u - 3*u - 50 = 0. What is the greatest common factor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -268284*x + 599. Is d(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 8, 0 - 6 = 2*u - 4*p. Suppose 2*k + 90 = u*l, k - 69 = -3*l - 4. Calculate the common denominator of -37\/6 and (-5)\/l - (-442)\/40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2*w + 100 = 0, -42*x - 87*w - 91*w + 116 = -177*w - 100 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (8 + -18) - -4 - 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 15. Let m be (-9 - j)\/((-3)\/2). Suppose 6*v = m*v + 14. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + 1. Let f be (-1)\/(-3)*g + 4\/6. Let c(a) = -2*a + 14. What is the units digit of c(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(sqrt(180)*-3 + -4)*2)**2.\nAnswer: -163600 - 14400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 18*k - 105 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403640 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiyonynnwndiiniw. Give prob of picking 1 y, 1 n, 1 i, and 1 w.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 528 + -324?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, 25, 5, -1\/2, -0.1, -2.9 in decreasing order.\nAnswer: 25, 14, 5, 1, -0.1, -1\/2, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 - 2*f**2 - 5*f**2 + 7*f**2. Let j(y) be the third derivative of 2*y**2 + 0 + 0*y**3 + 0*y + 0*y**4 + 1\/30*y**5. Give a(j(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 10. Suppose -3*g - n + i*n = -10, -n - 24 = -5*g. What is the second smallest value in 0, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -72 in descending order.\nAnswer: 4, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*0.45\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 5*m**2 - 4*m + 5. Let o be t(4). Suppose 0 = o*i - 3*w - 0*w - 34, 0 = -w + 2. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + 8. Let g(i) = 5*i + 270. Let h be g(-27). Calculate the highest common divisor of o and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21323123 (base 4) in base 12?\nAnswer: -1b64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 29. Let m be 12*-1*(-9)\/12 + 1. Let l be b(m). Let y = -19 - l. Let x(a) = -a**2 - 8. Determine x(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 2.9, -5, -0.06076?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119 divided by -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -418943 (base 14) to base 4\nAnswer: -20130121233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**2 + 29*y**2 - 20*y**2 + y + 9*y - 12. Give h(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 - 5*s**2 + 8*s + 7. Let k(w) = 2*w**3 + 2*w**2 - 4*w - 4. Suppose -6 = -5*c + 3*c. Let z(v) = c*q(v) + 5*k(v). Determine z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 + -38 - (-11 - -1)) + (19 - 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/2189 and -13\/1791?\nAnswer: 19701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -537.87 - -0.025.\nAnswer: -537.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*i + 6, m - 136 = -0*i + 3*i - 130 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 v when three letters picked without replacement from {x: 2, a: 4, n: 1, v: 5, b: 2}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11958*j - 1205*j - 3750*j to the form d*j + t and give d.\nAnswer: -16913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 2*a + 2. Let l(v) = -5768*v**2 - 12*v - 13. Calculate -6*g(m) - l(m).\nAnswer: 5774*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-9)))**(-2\/123) assuming z is positive.\nAnswer: z**(-16\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*m**4 - 138*m**4 - 62*m**4 + (4*m + 0*m - 3*m)*(4*m**3 - 3*m**3 + m**3) to the form n*m + r*m**2 + y + z*m**4 + c*m**3 and give z.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/1 + (0 - 0). Let k = o + 9. Suppose 6*n = k*n + 12. Solve -3 = -n*b + b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2117486?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42 - -42)\/(-1 - 5). Solve 21*j + 11*j = r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415 + 281 - 696 - 30*c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.6619 to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*y + 88*y = 45 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5945\/21 + 283. What is the third biggest value in x, -0.2, 0.04?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8023453?\nAnswer: 19, 422287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3999703 is divided by 293?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48500.0671 rounded to the nearest 100?\nAnswer: 48500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 5, 4, -0.4, -1.4 in ascending order.\nAnswer: -1.4, -0.4, 4, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 49*v - 31*v - 1 in the form s*v + p and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 225228575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -6 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -366112*w - 673. Let q(n) = -3269*n - 6. Calculate -673*q(j) + 6*r(j).\nAnswer: 3365*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 40 = -t, 63*t - 59 = 7*o + 62*t for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2545\/4 + 636. Which is the biggest value? (a) -4\/3 (b) s (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 4*q + 0*q)*(2*q + 0*q + 0*q) + (3061 - 588 + 3849)*(-q**2 + 3 - 3) as b*q + l*q**2 + y and give l.\nAnswer: -6324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 19*f - f - 17*f + 5. Determine v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -401430 (base 7) to base 2\nAnswer: -10000100011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -406 + 406. Let q be (2\/3)\/(4\/186). Suppose z = 4*j + 5*o - 5, -5*j + o = -o - q. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10.335 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9389495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20885 - 1?\nAnswer: 20884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1542 - -2?\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*b - 390681 = 0, -32*b - 156278 = -2*j - 34*b. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 - 23 = 4*k, k = 0. Let w(v) = 2*v - 25. Let t be w(f). Let p be (-385)\/(-75) - ((-17)\/(-15) + t). What is the greatest common factor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 7*j + 7. Let x(q) = 3*q**2 + 6*q - 6. Let d = -3 + -4. Give d*x(k) - 6*o(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 13*h = 75. Let j be (12\/h)\/((-4)\/(-20)). Which is smaller: 0.4 or j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.07, -0.7, -1\/3 in decreasing order.\nAnswer: 5, 0.07, -1\/3, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1006 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) + -1*(sqrt(400) + (sqrt(400) - -1*sqrt(400))))\/(sqrt(128)*3*-5))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {z: 1, o: 6, b: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 125155, 500707, 1126631, 2002927, 3129595, 4506635, 6134047?\n\"Answer: 125186*v**2 - 6*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -657, -1310, -1971, -2646, -3341, -4062, -4815?\n\"Answer: -b**3 + 2*b**2 - 652*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10116 + -324?\nAnswer: 6462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 t, 1 v, and 1 a when four letters picked without replacement from {t: 1, a: 2, v: 2, r: 1, f: 1, m: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -109, -26, 105, 278, 487, 726, 989, 1270?\n\"Answer: -i**3 + 30*i**2 - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (448\/(-40) - -11)\/((-2)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x - 1\/6*x**3 - 11 + 0*x**5 + 3\/40*x**6 + 7\/2*x**2 + 1\/12*x**4. Let h(z) be the second derivative of t(z). What is h(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12982435*h**4 + 8150845*h?\nAnswer: -155789220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -29*s**2 + 1493*s + 768. Calculate a(52).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*z**2 + 7*z + 35*z + 80*z**2 + 67*z**3 - 3*z wrt z.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51051 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 9*m**3)*(-26 + 12 + 28 - 4*m).\nAnswer: 36*m**4 - 126*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6391*r + 651900. Give g(102).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 0.01, -0.1, -224, 3\/23, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**3\/3 - 13*r**2\/3 + r = 0.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, n: 1, f: 5, r: 2, b: 2}. What is prob of picking 1 n and 3 f?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.8? (a) 0 (b) -3 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yqyfyfyusy.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21220221022 (base 3) to base 16\nAnswer: 26138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -435*r + 12136. What is v(29)?\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 240545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 9\/(-6))*2. Is y less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = p + 2 + 16, -5*h + 66 = 3*p. Suppose h*q + 582 = 16*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/126343 + -2929388870\/1137087. Let r = 2568 + p. What is the common denominator of r and -7\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + f - 1. Let c(s) = -5*s**2 - 5*s + 2. Determine 3*a(y) + c(y).\nAnswer: -8*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 6*x + 0*x**3 + 3 + 7*x**3 - 3*x**3. Let o be (-4)\/(-8) - (-7)\/2. Is y(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24825547243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = 937 + 98. Let g = 0 + -4. Is u - (g + (-1)\/(-1)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1 + (-2 + 0 + 3)*(0 + 1 - 3))*(315*c**2 - 147*c**2 + 691*c**2) to the form k*c + a*c**2 + w and give a.\nAnswer: -2577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0237587 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.7 - 7. Let h = -0.07 + 0.17. Let v = 2.1 - h. What is the third smallest value in r, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172 by 5.\nAnswer: -172\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 17. Which is the closest to -2\/7? (a) 2 (b) o (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416176718 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23832 = -22*n - 14*n. What is the remainder when n is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230858959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b - 27755 = 74868. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -16. What is the biggest value in 0, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3573.4 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -105745620.\nAnswer: -21149124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.21, -10\/21, -8?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3592*w + 41329 = -86*w - 13841 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16850 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let w = -150.8 - -151. Sort -1\/10, w, k in increasing order.\nAnswer: -1\/10, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -3*r. What is the least common multiple of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -825. Calculate the highest common divisor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.4975702.\nAnswer: 0.19902808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246 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: Suppose 180245 = 5*v - o, 5*o = -4*v + 3*o + 144182. Does 86 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 6*v - 59. Let l be n(5). List the prime factors of (-1)\/((-1)\/l - 0) - -229.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311979127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -30*i - 32. Let v be 8\/36 + 2 + (-404)\/36. What is the units digit of c(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3579274, -3579161, -3579048?\n\"Answer: 113*l - 3579387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10582 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 2 + 5*f + 1 - f**2. What is the units digit of o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(91)\/(sqrt(7) - 4*sqrt(7)*5).\nAnswer: -2 - sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211640 (base 7) to base 14.\nAnswer: -d520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/15)\/(g*g**(2\/79)\/g)*(g\/g**(-31))**(3\/16) assuming g is positive.\nAnswer: g**(7396\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10581.1 + 10581.09929511. What is g rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113\/82 - 5557\/492. What is the common denominator of v and -13\/38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 5389986\nAnswer: 70069818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k + 149. Let q(w) = 8*w + 149. Calculate 6*m(t) - 7*q(t).\nAnswer: 4*t - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 - 199*c - 51*c + 57*c - 220*c.\nAnswer: -413*c + 209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7694*-0.5.\nAnswer: -3847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 + 1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.5, 301.\nAnswer: -0.5, -0.1, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtttxxyxyyvxvtyv. Give prob of sequence yxyt.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 48*u**3 + 2*u**2 + 2. Let x(p) = -p**3 - p**2 - 1. What is -j(m) - 2*x(m)?\nAnswer: -46*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -16*y - 34. Let i be k(-10). Suppose -4*c = -3*s - 2*c + i, -4*s = 5*c - 145. Calculate the greatest common divisor of s and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 3*u. Let s(y) = y**3 - 2*y**2 - 2*y. Let h(i) = i + 1. Let x be h(2). Let m be s(x). Give t(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 706 - 717. Let x = -22 - -17. Which is the nearest to -2? (a) -4 (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 4*u**2 - 1. Let o be h(-3). Let w = 22 - o. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79947 is divided by 56.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-161))\/(1*1\/(-6)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -55\/12*l**4 + 4 + 0*l - 3*l**2 + 59\/12*l**5 - 5\/6*l**6 - 3\/14*l**7 - 20\/3*l**3. Suppose h(n) = 0. Calculate n.\nAnswer: -4, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-12) - (-2)\/(-4). Let p be s\/(-4) - (-189)\/12. What is the greatest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4904*(8 + -2 - 8). What are the prime factors of (4\/(-5))\/(-4) - k\/(-10)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2 - -1) + (-170 - -172)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 50 = 10*f + 34. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeek when four letters picked without replacement from {j: 9, k: 1, e: 4, o: 1, x: 3}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -132*d. Let u(v) = 11*v. Calculate u(g(h)).\nAnswer: -1452*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 477 - 453. Let n be 98\/4 - (-8)\/(-16). Calculate the greatest common factor of c and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - 62 - (-1 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, 144, -9 in descending order.\nAnswer: 144, 5, 4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 12:15 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6291219.\nAnswer: 3, 11, 311, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 16, 4, 3, -7 in descending order.\nAnswer: 21, 16, 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c**3 - 98*c**3 + 31*c**3 + 19*c**3 + 30*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/4)\/1 + -4. Solve 5*v - 8 = -p, 14 = u*v + 3*p - 0*p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(96) - sqrt(96)) - (sqrt(96)*2*2 - sqrt(96)))\/(sqrt(12)\/(sqrt(32)\/sqrt(8)) + sqrt(27)\/(sqrt(9) + sqrt(72)\/sqrt(8))) + 4.\nAnswer: -16*sqrt(2)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/7 - 3026328*f\/7 + 39778224.\nAnswer: -3*(f - 92)*(f + 1008868)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((0 + sqrt(2057) - sqrt(2057))*4 + sqrt(2057) + ((sqrt(2057) + -4)*-5 - sqrt(2057)) + 1)**2)*1.\nAnswer: -2310*sqrt(17) + 51865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036483.\nAnswer: 7, 263, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + z - 2 = 4*z, 0 = -z + 1. Let h(f) = 2*f**2 - f - 2. Calculate the least common multiple of r\/((-20)\/176)*5\/(-2) and h(-4).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655480234.\nAnswer: 2, 37, 8857841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - o - 4*o + 15 = 0, -5*o + 30 = 5*t. Suppose -3*u + 20 = t. Suppose -3*q + 19 - 5 = 2*d, 1 = u*d - q. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 63. Let k(v) = -8*v + 186. Determine -4*k(o) + 11*l(o).\nAnswer: -o - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 50663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4473\/17 - -263. Let d = -0.523 - 0.477. Which is the nearest to 0.2? (a) d (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -15. Suppose 40 = -2*l - 3*l. Let z = -3 - l. What is the highest common divisor of z and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(3\/(-6)). Let g(w) = -w**3 - w**2 + 3*w - 2. Let o be g(m). Let j(y) = y + 3. Is j(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41 + -1b4?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 + 10*i + 12. Let h be m(-4). Suppose 2*d = 3*a + 7, 4*d - a - 15 = -6. Solve y - d = -l, 0*l - 16 = h*l - 2*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**4 + 724*v**3 + 984*v**2 - 200896*v + 740480 = 0?\nAnswer: -178, -20, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71\/2 - -32. Let j = 15\/4 + o. Factor -1\/4*t**2 + j*t + 0.\nAnswer: -t*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 2*m**2 - m - 4. Let r be f(3). Suppose -56 + 22 = -r*k. Suppose k*s = 14*s - 18. Round s to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*c + 7 = 0, -3*q + 7*q - c + 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929098449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2433343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 336 = -0*c. Calculate the highest common divisor of 56 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 3 + 1 - 4 - 7*s.\nAnswer: 3*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yttw when four letters picked without replacement from {w: 1, u: 1, y: 2, r: 2, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2347*h + 30. Let c be j(-6). Let p(n) = -n**2 - c*n + 14112*n. Let l(x) = -2*x**2. Determine l(p(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 49*y**3 - y**2 + 2*y - 1. Let h(k) = k**3 + 5*k**2 + 4*k + 1. Let m(v) = -v + 4. Let c be m(8). Let l be h(c). What are the prime factors of d(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -40675?\nAnswer: 40673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r + 6, -2*r - 4999 = 5*l. Let c = l - -1814. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4337.\nAnswer: 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*s + 1011 - 94 = 0, 3*n + 3*s = 2727. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 84. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13212, -64, -2, -5 in decreasing order.\nAnswer: -2, -5, -64, -13212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 108499, 217322, 326147, 434974, 543803, 652634, 761467?\n\"Answer: x**2 + 108820*x - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298570549.\nAnswer: 71, 4205219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201 is divided by 398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 22 = 54. Let f = i - 6. Suppose -n - 3 + f = 0. Calculate the lowest common multiple of 9 and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*q + 646 = 0, -n + 6*n = 3*q + 1054. Suppose -7*x = -3*x - n. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387426 is divided by 3489?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 4653*l**7\/7 - 5*l**3 - 43*l**2\/2 + 9360. What is the third derivative of y(k) wrt k?\nAnswer: 558360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*c + 252. Suppose 5*w = -2*d - 75, -6*w + 2*w - 72 = 2*d. Let r = d - c. Calculate the greatest common factor of r and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m. Let o(j) = 24*j - 755. Calculate o(f(i)).\nAnswer: -216*i - 755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/17 or 0.1?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2. Let t(z) = z - 5*z + 85*z**2 + z + 8*z. What is l(t(y))?\nAnswer: 7225*y**4 + 850*y**3 + 25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 + 949 = -7*l. Let s = l + 177. What is the greatest common factor of 65 and s?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 19\/6 and -7\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 38*j + 39.\nAnswer: -(j - 1)*(j + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:16 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqecqeqqqeqqqccmcqqc. What is prob of picking 2 q?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*j + 5*z - 150 + 94, -114 = 21*j + 3*z for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 6. Let j(i) = -4 + 1 - i + 1. Let w be j(3). What is h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - f - 12 = 0, -f = 5*t + 3*f - 27. Suppose 0 = 9*j - 12 - 60. Solve -j + t = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**3 + 15*l**2 - l + 3. Let v be c(-3). Let 12684*d - 1 - 12670*d + 5 + v*d**2 = 0. What is d?\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11acee (base 16) to base 12.\nAnswer: -47a43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 3 + f**3 + 2*f**2 + 4*f**2 - 7*f + 1. Let t be a(-6). Let b = t + 5. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from lpp?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t. Let d = -2 + 4. Suppose -d*p = -2*w + 2, -2*w = -6*p + p + 4. Let a(b) = -2*b**2 - p*b**2 + b**2. Calculate a(v(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -26.38 * -0.3\nAnswer: 7.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -865, 10, 3, -2, 5 in descending order.\nAnswer: 10, 5, 3, 1, 0, -2, -865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 43 - u - 43. Let w(t) = t**2 - 3*t + 1. Give -w(r) + 4*z(r).\nAnswer: -r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -109425.073 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 4 (b) 1 (c) -4 (d) 6\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 6. Determine x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -155541 (base 6) in base 5?\nAnswer: -444131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-230)\/15 + 16)\/((56\/(-6))\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 2*m + 5)*(-3*m**3 + 2*m**3 + 0*m**3).\nAnswer: -2*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = 4*w + 4*w. Let u(k) = -4*k - 8*k - 3*k**2 + w*k - 3 + k**3 + 9*k. Calculate u(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-16)*3\/(-9). Let u be 1*(-45)\/(-5 + 2). Let g be u\/8*(-6)\/15. Which is the nearest to -1? (a) -4 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21121001122101 (base 3) to base 11.\nAnswer: 2307515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70052 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.22 + -6.32. Let u = 2.1 + b. Let g(v) = v**3 + 8*v**2 - 9*v + 4. Let k be g(-9). What is the third smallest value in -1\/2, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 - 93. Suppose -2*w + 3*w = -3*a, -3*a - t = -5*w. Solve -2*i - i - w = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 = 8. Is -9 not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 11*v - 10 = -13*v, v - 11 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 68, 453, 1388, 3113, 5868, 9893?\n\"Answer: 40*u**3 + 35*u**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(2 - 2 - 9)*(-4*r**2 + 5*r**2 - 5*r**2) + 119*r - 11*r**2 - 119*r in the form u*r**2 + n + m*r and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.10901 - -2.89099. What is the smallest value in -0.1, -3\/7, 287, k?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41510 is divided by 73.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by -114.\nAnswer: -31\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*k + 1, 5*y - 5*k = 45. Suppose 4*r + u - 9 = 19, 2*u = -y*r + 32. Let f be 2\/r*(-9)\/12. Are f and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (21\/(-273))\/(2\/(-6)). Let j = r + 53\/13. Suppose s + 7 = 4*h - 0*s, -6 = 2*s. Is h at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -312659.79.\nAnswer: 312659.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5583*a**2 - 5 - 2 + 544*a**2 + 7.\nAnswer: -5039*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113\/55 + 16\/11. Let h = -0.06 - -0.26. Let g = h - 0.5. What is the closest to -0.1 in -0.4, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -3. Let n(b) = 5*b + 9. Calculate the remainder when n(0) is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/11 + 5652*s**3\/11 - 2958598*s**2\/11 - 8983008*s\/11 + 29755160\/11 = 0.\nAnswer: -3277, -5, 2, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 + -50. Let w = -460\/7 + b. Let x be 585\/(-78) + 26\/4. What is the nearest to 1\/2 in x, -0.6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -368*m - 199. Let b(d) = 5540*d + 2984. Let u(c) = 6*b(c) + 88*i(c). What is the first derivative of u(x) wrt x?\nAnswer: 856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 8) to base 3.\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/12)\/(2\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(5 - 3) + -2 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5622*i + 5622*i - 11*i**2)*(5*i - 6*i + 0*i).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -406 + 402. Sort q, 26, 4, 1 in descending order.\nAnswer: 26, 4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-243)\/6)\/(-9) - 4. Let k(d) be the second derivative of -3\/56*d**7 + 17\/80*d**5 + d + 7\/48*d**4 + 0 - 1\/40*d**6 - z*d**2 - 1\/3*d**3. Solve k(f) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 + 105. Is 33\/(-77) - (-7300)\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 + j. Let w(t) = 4*t**4 + 8*t**3 - 24*t**2 + 16*t. Let u(v) = -4*k(v) + w(v). Factor u(h).\nAnswer: 4*h*(h - 1)**2*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 421 divided by 56.\nAnswer: 421\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2 - 1 - 3*g**2 - g**3 + 4*g**2 + 0 - 3*g. Let q be r(4). Suppose -5*i + q*i - 6 = 0. Let m(j) = j**2 + j - 4. What is m(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 n when four letters picked without replacement from {l: 1, n: 1, z: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0421 and -112046149935?\nAnswer: 112046149935.0421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 - 26*o**2 - 7*o**4 + 14*o**4)*(0 - 6 + 3).\nAnswer: -12*o**4 + 78*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 246 - 20*s**2 + 226 - 22*s + 8*s**2. Let p be i(-10). Let o be p\/(-1 + 0\/1). Which is smaller: o or -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10167782 divided by -5.\nAnswer: -10167782\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04863, -5, 393 in ascending order.\nAnswer: -5, -0.04863, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4385 + -16?\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 447246 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -182db9?\nAnswer: -182dbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -34. Suppose z*u = -9*u + 54. What is the greatest common factor of 30 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1553 = 5*g - 1568 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010242 (base 6) in base 15?\nAnswer: 1d0db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1993 - 770. Let w = p + -643. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - -0.1. Let u = -3.07 - -0.07. Let p = -453113 + 4984245\/11. Which is the nearest to o? (a) -4 (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + 45. Let v be (3 - 0)\/(15\/10) - j. Let p = 104 + v. What is the lowest common multiple of p and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141547\/18 + -7866. What is the common denominator of a and 3\/(-9)*(-330)\/(-28)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*c*j*o**2 - c*j - 375*c*o**2 + 24*c + 3*j*o**2 - 1903*j*o + 646 wrt c.\nAnswer: -6*j*o**2 - j - 375*o**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1335)\/6*(-2)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let b(y) = -7*y**4 + 6*y + 9. Let d(z) = z. Let f(u) = m*b(u) + 6*d(u). Find the first derivative of f(c) wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -599 - -600. Which is the closest to -0.1? (a) d (b) 4 (c) -1.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)\/(sqrt(54)\/sqrt(6)))\/sqrt(9))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11736990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 6213400?\nAnswer: 55920600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = 6*l - 207. Suppose -u + 375 = 2*u. Suppose -4*j = -l*s - 568, -2*j + s + 157 = -u. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194959.\nAnswer: 19, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 7*x - 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 1\/4, -4\/3, 2, 0.2, 5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 take away 82513651?\nAnswer: -82513708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 82*k = 87*k - 24, -5*k + 25 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*d + 3*i, -2*d = -i + 3*i - 12. Let m(t) = t - 4*t**2 - 2 - d*t**3 + 5*t**3 + 0*t + t. Calculate m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -1, 2, 1.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2504 and 416.\nAnswer: 130208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -399 not equal to -399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/11)*r*r*r**(-3))**(-22)\/(r**(-5)*r**(-6)\/r*(r\/r**2)\/(r**(-6)*r)) assuming r is positive.\nAnswer: r**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-5) + (-9)\/45. Let w be b + (-2 - -5) + -2. Suppose -w*c - 3*u + 111 = 0, 5*c + 6*u - 176 = 4*u. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -910, -998, -1086, -1174?\nAnswer: -1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 14 + 43 + (8 - 0) + -11.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -146, -119, -102, -101, -122?\n\"Answer: -c**3 + c**2 + 31*c - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433106845, 433106843, 433106841, 433106839?\nAnswer: 433106837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1\/4)*q*q)**4*q**6\/(q*q**(-2\/5)*q*q) assuming q is positive.\nAnswer: q**(92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238591204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.34 - -8.9. Let t = o - 7.6079. Round t to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 13) to base 5\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1381267 divided by 1381267\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(119)*2 - sqrt(119))*2)\/(sqrt(21)\/(sqrt(30)\/(sqrt(20)\/sqrt(2)))).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = f - 3, -2*s = s - 9. Suppose -d = -5*t - 5, d + f*t - 8 = 2*t. Which is the smallest value? (a) 0.5 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 20*d**2 + 3*d. List the prime factors of g(-2).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 1\/73 (c) 0 (d) -1\/2 (e) 1135 (f) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 5:42 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 163585750 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6\/(-15) - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43328 = -61*a + 125*a. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 39*q + 0 - q**2 + 1\/6*q**3. Let z(b) = 2*b - 6. Calculate 6*g(h) + z(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6991535 and -0.0427.\nAnswer: -6991535.0427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -8699*i + 2. Let s be v(-1). Let y = -139289\/16 + s. What is the common denominator of y and 4\/(-28) - 6\/2?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttppegttptep. Give prob of picking 1 g and 1 e.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from ssjs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k + 8 = 0. Is (-1956)\/(-8)*k\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 43*c**2 - 146*c - 397. What is o(-46)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from cjhiecicipciceij?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -997*x - 144568. Give v(-145).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**3*u**3 - 19*d**3 + 27564*d*u**2 + 5506*u**3 wrt u.\nAnswer: 24*d**3 + 33036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 22*d + 9. Let u be (-4)\/(-8)*22*-2. Let y be o(u). Suppose -4*p = -3*f - y*p + 7, -11 = -2*f + 3*p. Solve 5*m - m + f = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22076465 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -3 + 1 + 0. Let a(s) = -10*s - 1. Let p be a(x). What is the highest common factor of 81 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 123 = -390. Let s = -1200\/7 + i. Which is the closest to -2\/3? (a) -0.2 (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-21))\/(2\/18) - -2. Let k(d) = -3055*d - 3. Let f be k(b). Suppose -5*s + f + 11413 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22*1)\/(-2)*(-21 + 22). Is -2*(1 + -2) + i + 1438 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36, 221, 680, 1533, 2900, 4901?\n\"Answer: 20*y**3 + 17*y**2 - 6*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 360511 at most as big as -428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 31830 and 31830 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15106614 (base 8) in base 16?\nAnswer: -348d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(1\/4))*m)\/m**(-15\/2))**(-1) assuming m is positive.\nAnswer: m**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 1, w: 12}. Give prob of picking 2 w.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3, 0.48, 2\/13, 20\/9 in increasing order.\nAnswer: 0, 2\/13, 0.3, 0.48, 20\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 45. Solve -o - 5*f = -s, -3*f - 2 + 16 = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**2 + 223*b - 37. Let u be s(-25). Solve 25*y + u = 88 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 3*p - 4. Give t(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -23. Suppose -w = l*w - 240. What is the smallest common multiple of w and 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-375)\/(-74))\/(441\/28). Let s = y - 4\/111. Let w = 1.2 - 1. Which is the biggest value? (a) 2 (b) s (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1)*l)\/l*l)**(-3\/5)*l**(-3\/4)*l*l*l*l\/(l\/l**(-8)*l)*(l**(-7\/5)\/l**5)**(-8) assuming l is positive.\nAnswer: l**(877\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6235 = -4*j, -6241 = -y - 3*j + 5*j. Let g be 1 + -6*1\/(-3). Suppose 4*z = -f + 2*f + y, 4668 = g*z + 5*f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(900) - (3*-3*sqrt(900) - sqrt(900))) + sqrt(900))*-1)\/((sqrt(588)*-1 - sqrt(588) - sqrt(588))\/(1*(sqrt(16) - sqrt(4)))).\nAnswer: 40*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*m - 0 - 3, -2*m + 1 = -f. Which is the nearest to -37? (a) -5\/3 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d - 38 = -3*q, -2*q = -d - 9. Suppose -3*y = -2*y + 14. What is the units digit of (-82)\/((y\/(-4))\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a + 0*a + 5*a)*(1 + 2 - 1)*(-3 + 10 + 0).\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - 127 = -3*v, v - 173 = -3*y. Suppose 44 = g - 0*g + 5*p, -g - p = -y. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = -1. Suppose 0 = -2*s - o*u - 0 + 2, 5*u - 10 = -5*s. Suppose -411 + 36 = -s*v. Round v to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 1:08 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 - -69. What is the second derivative of -10*t - 21*t**5 - 19 - 69*t**5 - 21*t**h + 9*t wrt t?\nAnswer: -2220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52 + -201184?\nAnswer: -2011d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1220.4 - -1222. What is the nearest to -2\/7 in -0.4, n, 26\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1978, -1980, -1982, -1984?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61422.\nAnswer: 2, 3, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 367*o\/5 - 56028\/5.\nAnswer: (o - 483)*(o + 116)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2542\/19 - 10149\/76. What is the nearest to -0.2 in -2, -5, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -8369\/1790?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21174, -42336, -63488, -84630?\nAnswer: -105762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(50)\/(sqrt(10)*2).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - sqrt(190)*-2)*6)\/sqrt(10).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2160\/405)\/((-6)\/3))\/(2\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f. Let g(a) = 2195433*a**2 + 2. Give l(g(o)).\nAnswer: -4390866*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f - 2. Let o be w(0). Is (2\/o)\/(9\/(-531)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktktnntttk. Give prob of sequence nttn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*p = -28*p - 468. What is the closest to 10 in p, 0.4, -115?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 13*d**2 + 136*d + 45. What are the prime factors of y(-30)?\nAnswer: 3, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/5457032 and -63\/2283044.\nAnswer: 223738312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let y be ((-3)\/3 + -3)*-2. Let k(z) = 2 - z - 2 - y*z. Determine k(f(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 + 0.3908. What is w rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -26. Let r(h) be the second derivative of 0 + 0*h**2 - 1\/2*h**4 + 3\/10*h**y + 3*h + 1\/3*h**3 - 1\/15*h**6. Factor r(g).\nAnswer: -2*g*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - l**4 - l**5 + (-l**5 + 3*l**2 - 3*l**2)*(-3 + 1 + 0) + l**5 + 0*l**5 + l**5 - l**5 + 3*l**5 + 0*l**5 + (0 + 1 - 2)*(6*l**3 - 6*l**3 + 3*l**5).\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + 16. Suppose 0 = -3*t - 5*s + f + 49, 21 = t - 2*s. Let j = -2 + t. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from cbbsxxxcxxsxc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1083 and 456?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by 79?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2877.24 + 17.76. Let r = i - 2897.031. Let x = r + 0.031. What is the second smallest value in x, 4, -37?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -13*o**2 - 2*o. Let g(r) = 26*r**2 + 5*r. Give -2*g(j) - 5*w(j).\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2 and 5\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 1. Let n(h) = -4*h**2 + 6*h**2 + 1414 - h - 1410. What is n(t) + 3*o(t)?\nAnswer: 2*t**2 + 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483070063.\nAnswer: 7, 479, 144071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 6. Suppose -4*v = 16, 0 = -y*o + o + 2*v + 427. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 898?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**5\/20 + 11*k**4\/8 + 40*k**3 - 1819*k**2. Find c such that w(c) = 0.\nAnswer: -5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*l + 29 = 0, 7*l + 13 = -3*u + 2*l. Let w(r) be the third derivative of r**4\/24 - 5*r**3\/6 - 28*r**2 + 2. Give w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 - 4*p**2\/5 + 51*p\/5 + 54\/5.\nAnswer: -(p - 6)*(p + 1)*(p + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3300435?\nAnswer: 3, 5, 71, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-160)\/(-25))*(-30)\/1. Suppose -6*p = 12 + y. Let s(q) = -4*q - 11. What is the units digit of s(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 8 - (-1911)\/(-105). Put -2\/7, -1\/3, -0.2, k in increasing order.\nAnswer: k, -1\/3, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5462 is divided by 447.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6. Let v = r + 5. Let s = v + 3. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 125, 277, 453, 653, 877, 1125, 1397?\n\"Answer: 12*k**2 + 116*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*n, -5*y + 0*y - 2*n = -90. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-494)\/130)\/(4\/40)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 10*u + 12. Let v be t(9). Let h = v - 46. What is the remainder when h is divided by (0 + 13\/2)*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/(-10395)*(-50)\/(-20)\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/3)\/((-2)\/18). Put s, -1, 3 in descending order.\nAnswer: s, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2230 + 0?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 120. Let z be -20*-4*3\/d. Suppose -4*y + 12 + z = 0. Sort 3, -3, y in ascending order.\nAnswer: -3, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1185 and -0.5.\nAnswer: -1185.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*i = 0, 4*m + i = 3*m. Let l = 0 - m. What is the units digit of l + 3*2 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 2:36 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 6) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -9*q - 15. Let g be -12*((-2)\/q)\/(9\/(-6)). What is the units digit of 433\/g - (-3)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (89*k + 161 - 161)*(2*k + 170 + 112*k**2 - 170) as z*k**3 + y*k**2 + r*k + q and give z.\nAnswer: 9968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j + 9. Let y be f(8). Let k be (-18)\/63 + (-2)\/y. Which is the third smallest value? (a) k (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -982 + 557. Let h = w - -605. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -1819639?\nAnswer: -1819639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 4*q**2 - 7*q + 15. Let f be y(5). Let w = -13 + 21. Let k be 1 + -1 - w\/60. What is the closest to 1 in f, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31180, -4, 2\/7, 0.08, -2 in descending order.\nAnswer: 31180, 2\/7, 0.08, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -c + 16, -3*k + 3*c + 0 - 21 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (0 + -1 + 0 + (-739 - -752)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, 4, 10 in descending order.\nAnswer: 10, 9, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/785268 and 1\/1944.\nAnswer: 14134824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**2 - 33*g**2 - 22*g**2 - g**2.\nAnswer: -75*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -10*s + 246. Suppose -162 = -i - 5*z + s, -2*i = -2*z - 536. What is the highest common factor of i and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 47*a + 11. Let s(x) = 46*x + 12. Let z(b) = 6*g(b) - 5*s(b). Let n be z(5). Suppose 4*k + 3*u = 385, -3*u = -4*k + 125 + n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 711.302 minutes?\nAnswer: 42678120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -17*b**3 + 6*b**2 - 5*b + 1. Let v(z) = 35*z**3 - 11*z**2 + 9*z - 2. Calculate 6*v(t) + 11*w(t).\nAnswer: 23*t**3 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/14)\/v)\/v)**(2\/45) assuming v is positive.\nAnswer: v**(-29\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 1, o: 1, a: 1, r: 1}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-270))\/((8\/(-2))\/(-12))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.847 rounded to 1 dp?\nAnswer: -164.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 44 + 6 = 0. Let x = -7 + 12. Let l be 276\/x - (-2)\/k. Calculate the greatest common factor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -327958 - -329165. Suppose -k + 213 = 2*k. Calculate the greatest common factor of i and k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*7\/210*(-10)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1539) + 2*sqrt(1539)) + (sqrt(1539) + -1 + sqrt(1539))*-4)**2.\nAnswer: -360*sqrt(19) + 38491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*1*sqrt(3) + sqrt(3)) - (sqrt(12)*3 + (-2*sqrt(147))**2)) + 1 + (-2*sqrt(750))\/(sqrt(10) + (sqrt(360) - (sqrt(360) + sqrt(360)*1 - sqrt(360)))).\nAnswer: -587 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418521?\nAnswer: 13, 19, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/31 and 40\/7.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 92.9313 times 5\nAnswer: 464.6565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 + 171456\/2016 - 3\/63?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - -4) - (19 + -19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f + 1. Suppose 2*r + 5*k - 3 = 18, r - 12 = -4*k. Suppose x + 14 = 4*p - x, 0 = -4*p - 4*x + r. Give c(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**3 + 56494*n - 56782*n + 7*n**3.\nAnswer: 35*n**3 - 288*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-77))\/(26\/182)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 21, -1\/3, 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmt when three letters picked without replacement from mmtmptmmtttttmmmmmt.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8192, 8432, 9082, 10346, 12428, 15532, 19862?\nAnswer: 25622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**28)*((v*v\/v**(-1\/17))\/v)\/v*v*(v**17*v)\/((v\/v**(1\/18))\/v))**(-11\/3) assuming v is positive.\nAnswer: v**(29909\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(45\/60)*-36*(-13)\/728\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*a + 15 = 0, -2*a - 20 = 2*q + 4. Let y = 381 + -385. What is the nearest to q in y, -1, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08223 - -1\nAnswer: 0.91777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4 - 347*l**3 + 4109*l**2 - 13560*l + 5796 = 0?\nAnswer: 1\/2, 6, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 994123289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 31174.\nAnswer: 155870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from ottoottttot?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 2 = -l - 0, -126*w - 174*w - 3*l - 1993 = -529 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 - 4*g**2 + g**2 + (-2 - 3*g + 4 - 1)*(-25*g + 38*g + 11*g).\nAnswer: -75*g**2 + 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.62 - -14. Let g = -0.7 - m. Let i = g + 0. Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/7)\/((4\/5)\/((57120\/850)\/(-24))).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 37 = 3*q. Let k be (1 - q) + (-100940)\/(-90). Let t = k + -1130. Find the common denominator of 19\/16 and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 9. Let l(p) = p - 4. Let j be l(v). Suppose 4*z - 8*z + 8 = j. Solve -z*s + 0*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 45. What is the least common multiple of 0\/2 + (-1 - -6) and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 0*r. Suppose -10*n + 9*n + 4 = r. Let x = -619 + 621. Solve -x*o = n*b - 3*o + 21, 0 = 2*b + 5*o - 17 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) + 168\/(-27). Let q = l - -17. Suppose 4 = 2*p - p, 0 = -2*c + 3*p + 52. Calculate the remainder when c is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose 0 = -i - 3*b - 3 - 7, -l*b = 5*i + 2. Let t = i + 4. What is the remainder when 29 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 8*w**2 + 24*w.\nAnswer: 2*w*(w - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 at most as big as 975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081 times 0.7?\nAnswer: -0.0567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*b**2 + 14*b**2 + 3*b**2 + 19*b**3 wrt b?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssshhhss. What is prob of sequence hs?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15587 or -1979655\/127?\nAnswer: -1979655\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 6. What is the remainder when 53 is divided by d(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2709 is divided by 676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 177692704 divided by -32?\nAnswer: -5552897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6229?\nAnswer: 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - i + 2 + 7, -4*m + 41 = 5*i. Let f(k) = 4 - 4*k - m. Let y(h) = -h**2. Give y(f(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -0.872, -2\/23 in decreasing order.\nAnswer: -2\/23, -0.872, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 190320 and 203320.\nAnswer: 74415120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-10)*(-779 - -1). Let u be (-3)\/(-1 + (-4)\/8). Does 8 divide u\/(-8) + (1 - w\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**5)\/t*t))**(-1\/7))**(-26) assuming t is positive.\nAnswer: t**(130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49884 is divided by 16628.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - 92. Let u(j) = -42*j - 31*j + j**2 - 50*j + 123*j. Determine u(l(k)).\nAnswer: 9*k**4 + 552*k**2 + 8464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:58 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 + 9145792*w**3 + 18291574*w**2 - 9145792*w - 18291576 = 0.\nAnswer: -4572894, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 23*a - 42. Give b(-17).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 29*c**2 + 1. Let k be z(-3). Suppose -b = b - k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + 32db92?\nAnswer: 32dbb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 0. Let c = 52 - d. Is c - 4*(-1)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 54 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000261934 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Let t(f) = 3*f**2 - f + 29. Let u be t(-11). Suppose c*g - 170 - u = 0. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-440*m**4 + 2054*m**4 + 70*m**4)*(0*m + 5 - m - 4).\nAnswer: -1684*m**5 + 1684*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.1 + -120.1. Let d = j + 75.6. Let x = d + 4.4. Is 2\/3 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(176))\/(sqrt(400) - (sqrt(400) + 2*sqrt(400)) - sqrt(4)) + 5)**2.\nAnswer: -40*sqrt(11)\/21 + 11201\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 + 1290913*z\/6.\nAnswer: -z*(z - 1290913)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y**5 + 37*y + 20*y**5 + 2*y + 9*y**5 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1098, 246, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 2*o + 1. Let u be 136*(-7)\/(28\/3). Let a = 98 + u. Let f be a\/(-1)*9\/12. What is h(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 28*m - 184. Determine g(13).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*n + 3. Solve -j - 3 = 4*l - l, -5*j = -n*l + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-1)\/(-3)*3. Put -30, 0, k in ascending order.\nAnswer: -30, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21882 is divided by 684?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 48*a - 318. Let n be k(40). Solve 9 = n*t - 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggg. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) 169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(832)*1 + 4)*-5)**2 + -1.\nAnswer: -9600*sqrt(13) + 749199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**3 + 5*k**3 - 2*k**3)*(-5*k + 15*k - 9*k + 13) in the form z*k + w*k**4 + f*k**3 + m + t*k**2 and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - h = 0. Let i(r) be the second derivative of h*r**2 + 0 + 6*r + 1\/2*r**4 + 0*r**3. Let d(y) = y**2. Give i(d(f)).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3150 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(1 + -3) + 4. Suppose 0 = -l + 3, w = -3*x + x + 2*l + 56. Suppose -x*b = -32*b + 13. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddldllldlllddddldll. Give prob of picking 1 d and 2 l.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -17, -23, -25?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(-5*-3*(sqrt(75) + sqrt(75)*-2) + 4)*-5)**2*4.\nAnswer: -258000*sqrt(3) + 6757396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-5)*(-301 - -306).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*l + 13, 5*z - 7 = l. Let m = -18 + 18.1. Is m less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 46.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 289, 585, 885, 1183, 1473, 1749, 2005?\n\"Answer: -w**3 + 8*w**2 + 279*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167.6 > 5\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 163057 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2279496 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q = 18*q + 978 + 166. Solve 0 = q*c - 19*c + 100 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2524080 to the nearest ten thousand.\nAnswer: -2520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:14 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/6)\/13*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c - 40. Let p(z) = z**2 + 10*z + 1. Let a be p(c). Let q(s) = s**2. Calculate q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870273 is divided by 3769.\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5\/6, -2751, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148930432 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.82974 and 4.7.\nAnswer: -13.299778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 + -228. Let g(q) = q**2 - 3*q - 6. Let u be g(l). Does u = 148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6112 (base 7) to base 11.\nAnswer: -1654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5131277 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6360, -12909, -19632, -26529, -33600, -40845, -48264?\n\"Answer: -87*o**2 - 6288*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 10*z**2 - 8*z - 8. Let m(l) = -2*l**2 + 2*l + 5. Let y(r) = -5*r**2 + 5*r + 13. Let i(x) = -8*m(x) + 3*y(x). Give 8*i(v) - o(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142235143 (base 6) to base 8.\nAnswer: 13071747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwuuwwwwmwwuuwwquww. What is prob of picking 2 u?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(343) + sqrt(7) + (sqrt(7) - (4 + sqrt(28)) - sqrt(7)).\nAnswer: -9 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*u + 20 - 6*u**2 - 20 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f + 1. Let m = -4 + 4. Suppose 0 = -m*b + 4*b - 8. Is o(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (23 + -2 - -39).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.685 to one dp.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (132\/(-55))\/(2\/(-5)). Let i(r) = r**3 - 5*r**2 - 6*r + 1. Determine i(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5 in descending order.\nAnswer: 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -548?\nAnswer: 57\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 20. Let z be (2\/(-6))\/(q\/(-36)). Solve 0 = 2*t + z*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 8, -18, 77\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 53 + 51 + 8*n**3 - 2*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 8*y**2 + 11*y - 17. Let h be m(9). What is the units digit of 140\/18 - h*(-6)\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 362. Is 30 a factor of a(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 3*k**2 + 4*k + 2. Suppose 0 = 5*n - 9*n - 6*n - 30. Let x(o) = o**2 + o. Determine n*x(l) + u(l).\nAnswer: -l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**7\/10 + f**5\/60 + 47*f**4\/12 - 2*f**2 - 16. Find the second derivative of c(w) wrt w.\nAnswer: 252*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3)*x*(x*x**7)\/x)\/(x*x**(-4)*x**(-1\/10)\/x) assuming x is positive.\nAnswer: x**(373\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, g: 4, l: 5, d: 1, m: 5}. Give prob of picking 1 o, 1 d, 1 m, and 1 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 16 = -16*x. What is the remainder when ((-6)\/(-4))\/((-3)\/(-44)) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38630039 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 + 91*z\/2 - 670\/3.\nAnswer: -(z - 268)*(z - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 9*s**2 - 2. Calculate d(5).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 539574569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**27)**(-17\/4))**1)**3 assuming b is positive.\nAnswer: b**(-1377\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.0539, -579\/179, 0.4?\nAnswer: 0.0539","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -418, -428?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 177259.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:01 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-2)*(-12)\/27. Suppose -x*s = 4*m + 8, 13*s = 14*s - 3*m + 10. Let j(t) = -3*t + 3. Let q(b) = -1 + 3 - 4 + 2*b. Determine s*j(n) - 5*q(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1307 + -1306. Let j be 2\/4*-4 - -21. Suppose 2*d - 22 = 4*l, 0 = 2*l + 7*d - 2*d - j. Put l, 4, i in decreasing order.\nAnswer: 4, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584138 is divided by 194711.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27146 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2108 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**3*q**3 + 2*l**3*q**2 + 47445*l**2*q**2 - 5926*q**3 wrt q?\nAnswer: 24*l**3 - 35556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -157911010.86999586 - -157911014. Let o = 3.13 - u. What is o rounded to 7 decimal places?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, 1, -1, 4, -3 in decreasing order.\nAnswer: 66, 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/141 in 5, 2\/5, 2, 20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 4*g**2 + 2*g - 22. Let t be o(9). Suppose 244 + 1616 = -5*s + 4*q, t = -s - 5*q. Let h = s - -258. What is h rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/7 + 739778*u\/7 + 3909864 = 0?\nAnswer: -369852, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 4*a + 8 = 12*w, -4*w + 11 = 2917*a - 2920*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 37*k + 225. Let r be m(-5). Is r bigger than 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35356 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 r, and 2 h when four letters picked without replacement from grhhzezrzhhhv?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*(6 + (-155)\/30). Let q(g) = 53*g**2 + g - 56. Is q(a) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3665 (base 12) in base 10?\nAnswer: -6125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -15\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*v**2*w**3 + 117*v**2*w - w**3 - 2*w - 370 with respect to v.\nAnswer: 58*v*w**3 + 234*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4089 - 4084. Let u(q) be the third derivative of q**4\/6 + q**3\/3 - 3*q**2. Calculate u(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.972 - 0.058. Let d = -40 + 40.03. Let v = y + d. What is the closest to 1\/3 in v, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, 2.\nAnswer: 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times -514\nAnswer: 668.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -761 times 0.01\nAnswer: -7.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**4 + 5*a**3 + 0*a**5 - 19*a**2 - 5*a**5 + 14*a**2 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -9\/8 (b) 57 (c) 0 (d) -4\/5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5759651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**4 + h**4 + 13*h**2 + 12*h**3 - 11*h**3 - 13*h + 15*h as k*h + o*h**4 + w + d*h**3 + t*h**2 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 8. Let a(c) = -5*c + 11. Calculate 3*a(j) + 4*n(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(15 - 87\/6). Let m = 2 - 2. Let o = m - i. Solve -o*n - 5 = 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x - 28. Let y(c) = -c**2 - 10*c - 10. Let s be y(-4). What is the greatest common divisor of x and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (480\/(-50))\/(2\/(-5)). What is the highest common divisor of u and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.8 - 23. Round o to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 186*b**2 - 3060*b - 5400.\nAnswer: -3*(b + 2)*(b + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3080*l - 2552*l = -6336 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1856069 (base 10) to base 9\nAnswer: 3438038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-51)\/102*2*3\/(-12))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.157450347 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 150 = 5*k. What is the derivative of 19 - 95 - 46*g + 104*g - k*g**2 - 54*g wrt g?\nAnswer: -12*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*p**4 + 2*b*p**3 + 6544*b*p**2 + 1438*p**4 - 2*p**3 wrt p?\nAnswer: -48*b*p + 12*b + 34512*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9700460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 5, -560851, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/((u\/(u*u\/(u*u\/u**(-15))))\/u))\/u)**(-15)*(u\/u**(-6\/7))**(-2\/27))**(43\/3) assuming u is positive.\nAnswer: u**(1705552\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 x when three letters picked without replacement from xxxxkxpkxpxgxpxxxxp?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0*g - 1\/90*g**5 - 1\/108*g**4 + 0 + 1\/9*g**3 + 1\/540*g**6 - 28*g**2. Factor w(j).\nAnswer: 2*(j - 3)*(j - 1)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 1159.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 66*t**2 - 171*t - 1. Determine i(3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -413*f**3\/3 + f**2 + 364*f - 1299. What is the derivative of u(s) wrt s?\nAnswer: -826*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 3\/11 in increasing order.\nAnswer: -9, -4, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40090 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 7. Let u be y(6). Let w(z) = 8*z + 4. Let m be w(1). Suppose 94*t = 92*t + m. Solve 0 = -u*r + 5*p - 40, -2*r + p - 5 = t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 272 - 280. Suppose -8 = 4*x + 3*r, 2*x - 6 = 2*r - 24. Put 0.3, x, w, 2\/17 in descending order.\nAnswer: 0.3, 2\/17, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(-1 + (sqrt(68) + -2)**2 + 4*sqrt(68) + 4 + sqrt(68)).\nAnswer: 6*sqrt(17) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 6. Suppose 29*c - 56*c + 270 = 0. Determine m(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13892558 divided by -3\nAnswer: -13892558\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-8800)\/(-152) + -2 + 120\/57?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51989, 103970, 155951, 207932?\n\"Answer: 51981*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 515135737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 0 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0 + 0*f - 1\/120*f**6 - 1\/10*f**5 + 8*f**2 + 5\/24*f**4 - 4\/3*f**3. Calculate the smallest common multiple of 8 and r(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 15) + 46 + -2.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:09 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*((-533)\/91 - -12 - 3*2). Which is the nearest to 2\/5? (a) o (b) 22 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905379915 to the power of 1\/2, to the nearest integer?\nAnswer: 30090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 69 - 877 + 113)*(-10*l - 6*l**3 + 10*l).\nAnswer: 4452*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10016 + 12758. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0 + 0*c + 155\/3*c**3 + 262*c**2 + 103\/12*c**4. Differentiate a(y) with respect to y.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -407? (a) 1\/4 (b) 5 (c) -0.342\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14855.3 rounded to the nearest 10?\nAnswer: 14860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 95.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49\/6 - 8. Let c = 71548\/3 + -23849. Factor -c + w*r**3 - 1\/2*r + 0*r**2.\nAnswer: (r - 2)*(r + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 62996?\nAnswer: 4409.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppwqvppqpqpppqvqpwpp. What is prob of sequence wwq?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -5. Let s = -208 + 216. Let m be s\/50*40\/48. What is the second biggest value in 2\/3, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 7:36 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 1:08 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, -11, -5, -145 in ascending order.\nAnswer: -208, -145, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + 27*x - 27. Let r be v(-10). Solve 0 = 2*z + 2, -2*c + 3*z + r = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(1\/23)*r*r)\/((r*r**(-13\/5))\/r) assuming r is positive.\nAnswer: r**(639\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29463*h**2 + 17445*h.\nAnswer: -58926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47073647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1282*v**3 - 1225*v**3 - 595*v**3)*(-3*v + 6*v - 2*v).\nAnswer: -3102*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + y = -2*y + 22, 4*o = 5*y + 38. Let n be -10 + o + 22\/18 - -2. Suppose -3*d - 8 - 13 = 0. Sort -1\/2, n, d.\nAnswer: d, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57599414?\nAnswer: 2, 2221, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -364 + 2544\/7. Is 0 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**3 + 5*o**2 + 3*o**3 + 3*o**3 - 13*o**2 to y*o**3 + c*o**2 + q*o + s and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105442 - -163779. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -6 (c) 0.71 (d) 2\/11 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 846 and 2726.\nAnswer: 24534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 9792407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(90)\/sqrt(2).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddssd. Give prob of picking 2 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3 - 2 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxktktkkjckkttk. What is prob of sequence kxk?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2383*u**3 - 12*u**4 - 2383*u**3 + (-3*u**3 - 2*u**3 + 3*u**3)*(5 + 0 - 4)*(-2*u + 14*u + 2*u).\nAnswer: -40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*h**3 + 626*h**3 + 157*h**3 + 1447*h**3.\nAnswer: 2274*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.882 times 107088?\nAnswer: -201539.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7115.83*9\nAnswer: 64042.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+1349806979\nAnswer: 1349806979.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/1 + 16*91\/252. Which is the biggest value? (a) 0.1 (b) 0.01 (c) 4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 + 2*c**2 - 3*c - 2. Let h(a) = a**3 - a**2 - 1. Determine -2*h(q) - i(q).\nAnswer: 2*q**3 + 3*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 283 + -240. Calculate the remainder when 124 is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, 2\/3, 5, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -34*s - 13. Let t be j(7). Let p = t - -892. Suppose 0 = 3*x + 2*k - p, 6*x - 2*x - 850 = 2*k. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*h**5 + 8810673*h**3 - 2*h**2 + 2335330*h - 13?\nAnswer: -2460*h**2 + 52864038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.2. Let z = g + 0.3. Let a = -47 + 51. What is the nearest to -2\/5 in z, 1, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 - 3*y**2 + 4*y**2 + 15*y**2 - 2*y**4 + 83*y - 98*y + 5*y**2 + 1 in the form k + f*y**3 + x*y**4 + c*y + g*y**2 and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 26.096. Round u to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 14648408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 96 in -2\/7, -4, -0.07, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from nggmmmnmmmgnnng?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17255 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5832, -5838, -5842, -5844, -5844?\nAnswer: -5842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25754 divided by 37.\nAnswer: -25754\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*r = -256*r + 5*v - 25, 4*v + 8 = 3*r - 10 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let u(w) be the second derivative of -w**4\/12 - 529*w**3\/3 + 129*w. Determine u(m(t)).\nAnswer: -t**2 + 1058*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19759*l + 33959*l - 21220*l)*(2*l + 0*l + 0*l).\nAnswer: -14040*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 5:51 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 8*w + 43. What are the prime factors of g(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/(-7) + (-16)\/(-56). Let l be (0\/(-2) - 2) + x. Let a be 10 + 0 - 1\/l. What is the greatest common divisor of a and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezlppzpaezwww. What is prob of picking 2 w and 1 p?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 10*w + 5. Let h be z(-10). Let y be -2 + 5\/(h\/2). Let f(i) = i**3 + i. What is f(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0*c = -2*c - 6, c = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 11:40 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-12 + 6*o + 12)*(3*o**2 - 2*o**2 + o**2) + 3*o**3 - 2*o**3 - 2*o**3)*(7*o**2 - 10*o**2 - 3*o**2).\nAnswer: -66*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1406 and 444999.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*m - 837 - 49176 = -483*m - 613 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocssbryb. Give prob of picking 1 r and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 387977942\/15 or 25865195?\nAnswer: 25865195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-18))\/((-25536)\/(-6048))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 4. Let r(j) = -2*j**2 + 5*j**2 - 4 + 1 - 8. Calculate 11*q(s) + 4*r(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 481 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129709185521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/10692 and -91\/54?\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -630 at least -629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w. Let d(v) = 2. Let n(r) = d(r) + 2*i(r). Let a be (-26)\/(-91) + 6*22\/28. Calculate n(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2 - 2)*(-j + 0*j + 0*j) + (3*j - 2*j - 3*j)*(-2 - j + 2) + 2*j**2 + j**2 - 4*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hynhcsschc. What is prob of picking 1 y, 1 c, and 2 s?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7479 + 7479. Put 6, -52, s in decreasing order.\nAnswer: 6, s, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586093 is divided by 309.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/360 - v**5\/12 + v**4\/4 + 64*v**3\/3 + 3*v**2 - 3*v. Let d(n) be the first derivative of r(n). What is d(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/3 + 6270*q**3 + 37615*q**2\/3 - 6270*q - 37616\/3 = 0. What is q?\nAnswer: -18808, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.159, 6\/71, -0.05 in descending order.\nAnswer: 0.159, 6\/71, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139795682857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j = -51*j - 27. Put j, 3, 0 in increasing order.\nAnswer: j, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 10:26 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/5 (c) 2\/7 (d) -3\/7 (e) -1\/44 (f) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, l: 7, h: 1, o: 6, k: 2, r: 1}. Give prob of picking 2 k, 1 t, and 1 o.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -306 <= -306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((-234)\/72) - 8\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + -3 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/90)\/((-14)\/140))\/((-20)\/(-18))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 1420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 41.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 10*n**2 + 9*n + 2. Suppose 0 = -2*w + 11 + 7. Let i be m(w). Suppose 0 = 2*b + i. Let j(s) = 6*s**3 + s**2 - s - 1. What is j(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10857, 10870, 10887, 10908?\nAnswer: 10933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22755.21742 + 0.3548?\nAnswer: 22755.57222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(68)*-2 - sqrt(68))\/((sqrt(4) - sqrt(36))*-3) - (-3 + sqrt(425))*6*-2)**2.\nAnswer: -4260*sqrt(17) + 2189081\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4311, 4323, 4331, 4335?\nAnswer: 4335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**9\/3024 - r**6\/120 + r**3\/6 - r. Let s(g) be the second derivative of h(g). What is the third derivative of s(f) wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49190f (base 16) to base 7\nAnswer: -55501412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.066665\nAnswer: 0.026666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 431, -11288 in decreasing order.\nAnswer: 431, -5, -11288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r**2 + 2494*r + 2. Let n(b) = -11*b**2 + 2495*b + 2. Calculate -4*k(d) + 5*n(d).\nAnswer: d**2 + 2499*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + v. Let s = 58 + -58. Determine d(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2*sqrt(80) - sqrt(80)) + -1 - (-5 + -1 + sqrt(80)) - 5*(sqrt(80)*-2 + -4)))**2*3.\nAnswer: 90000*sqrt(5) + 262875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346802 = -16*b + 97*b - 67918. What is the highest common factor of 60 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-219 - 17) + 204 - (-2 + -115).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 2, i: 2, a: 1}. Give prob of sequence tia.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 4*y**5 - 4*y**5 + (-y**5 + 0*y**5 - 2*y**5)*(-1 - 1 + 0) + 2*y**3 - y**5 - 2*y**3 + 6*y + 65*y**4 - 1 - 65*y**4 + 3*y**5.\nAnswer: 9*y**5 + 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 653, 150, -3 in decreasing order.\nAnswer: 653, 150, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 6:36 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5523000 (base 6) in base 9?\nAnswer: -458700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/36 and -121\/17203548.\nAnswer: 51610644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -148188757, -296377525, -444566295, -592755067?\n\"Answer: -a**2 - 148188765*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 63032 = -4*t - 4624, 5*o = 2*t - 73004. Round o to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3677*p + 10646*p + 3898*p - 3428*p + 9675*p as n*p + x and give n.\nAnswer: 17114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b - 20 = 0. Put -2, b, 2 in increasing order.\nAnswer: b, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**6\/60 + s**4\/12 - s**3\/6 + 3*s**2. Let r be g(1). What is the units digit of r\/(-9)*66\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 45 - (-3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**4\/12 + 7*a**3\/6 + 2*a**2 + 3. Let i be (-4 - -4)\/((-2)\/1). Suppose 0 = -4*c - 16, -2 = 2*v - 2*c - i*c. Calculate l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - r - 50, 4*s + 0*r - 44 = 4*r. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*n - 12 + 30 = 213*n. Let q(r) = -2*r**3 - 2*r**2 + 3*r + 1. Give q(n).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 956582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/389620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 13. Let m(t) = -3*t + 38. Let r(k) = 3*k**3 + 26*k**2 - 8*k + 3. Let x be r(-9). Give x*m(a) + 17*o(a).\nAnswer: a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 8510\/222*12\/10?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(360))\/(sqrt(72)*4).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.75 times -2\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 808328 and 8216?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8839729\/9 + 1959283\/2. Let y = 2552 + h. Let w = 37\/54 - 487\/297. Calculate the common denominator of w and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 9. Let y be s(6). Let t(q) = 2 - q**2 - 3*q + 2*q**2 + 0. What is the units digit of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26\/5 of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4189 - 33553\/8. Let r be (-2 - (-2 + -1)) + 18. Let g = -3 - r. What is the common denominator of g and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) + (-2)\/24. Let n = -17 - -28. Let t = -10.7 + n. Which is the smallest value? (a) t (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214228 and 21756.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -563 (base 11) to base 12.\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -7*p**6\/50 + 81*p**5\/50 - 33*p**4\/20 - 7*p**3\/5 - 262*p. Suppose h(k) = 0. What is k?\nAnswer: -2\/7, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2273*j - 6580*j + 2288*j + 2020*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 + 31*i**2 - 20*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48384 and 2784?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 942 a factor of 691428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i - 13. What is l(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/139, -1, -3, -508?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q - 856 = -437*q + 4*k, 0 = -6*k + 3*k - 0 - 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o**2 - 2*o + 2. Let d(v) = -8*v**2 - 3*v + 3. Let g(p) = 2*d(p) - 3*z(p). Let m(j) = -4 - 2*j + 4. Calculate g(m(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j + 2*h, -3*h + 3 = -2*h. Suppose 4*s - 2792 = -j*i, -4*i - s = 2*s - 2794. Round i to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197bdc (base 16) to base 4.\nAnswer: 12113233130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-12)\/4) + (-1 - -22). Suppose g = 6*y + y. Find the first derivative of 13*c**y - 10*c**3 - 5 - 1 wrt c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 11:04 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbbo when four letters picked without replacement from bbookbbooooob?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26953 or -26809?\nAnswer: -26809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*b + 44, -4*o - 2*b + 44 = -7*b. Suppose o = 12*j + 47. Let c(g) = 156*g**2 + 6*g + 13. Is c(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 161 = -4*o + 2*o, -2*o = -5*v + 263. Let p = 91 - v. What is the greatest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -16. Differentiate -2 + 8*n - n**l - 8*n wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/5, -1, -415, -4, 9\/10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5999 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21327403\/10723230 + 1\/119147. What is the common denominator of g and 50\/189?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -11. Solve -q = -y - 3 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 54. Let h(x) = -8*x + 381. What is -15*f(b) - 2*h(b)?\nAnswer: b + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334512?\nAnswer: 2, 3, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23208 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 22 + 2*i + 2*i + 7*i - 43 - 12*i. Give k(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -6, 0.665, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(243) + 3 + sqrt(243) + 2)*-4 + (-3*sqrt(243)*1 - 1*(sqrt(243) + sqrt(243)*1))*-4)**2.\nAnswer: -6912*sqrt(3) + 36016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -2*y + 3*o - 29, -y - 27 = -5*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1\/(-7)*168\/192).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2367 and -13\/1578.\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13965 and 5?\nAnswer: 13965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 6*p**5\/5 - p**4\/6 - p**3\/6 + 3*p**2\/2 + 54*p. What is the tens digit of l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 319383.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h + 3*h**2 - 4*h**2 - 56*h + 18*h + 24*h.\nAnswer: -h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (102\/24)\/(2\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*((-1*sqrt(1100) - sqrt(11) - (sqrt(396) + 1)) + sqrt(44)\/(sqrt(4) - (sqrt(4) + (1*sqrt(48))\/sqrt(12)))*-3))**2.\nAnswer: 1792*sqrt(11) + 138048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 41 = 5. Suppose -34*u - k*u + 12198 = 0. List the prime factors of u.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*v - 64, 4*v - 2*y - 10 = -86. Let p = v - -20. Let w(o) = -44*o**3 - 2*o**2 - 2*o - 1. What are the prime factors of w(p)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 46, 0.4, -0.4, -1 in descending order.\nAnswer: 46, 0.4, 0, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178 - -891\/5. Factor -f*t**4 + 3\/5*t**2 + 0 + 0*t**3 - 2\/5*t.\nAnswer: -t*(t - 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699275 to the power of 1\/2, to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69381 by 69381.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001784 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 514563242035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 6:21 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2658)\/(-54) - (-2)\/(-9). Calculate the remainder when (1 - 3 - -2) + r is divided by (-312)\/16*2\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 * 0.02\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqqvrqvvqxvvq. Give prob of picking 1 x, 2 v, and 1 r.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*z = -765*z + 9580 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 81*g - 1. Let b(z) = -4*z + 3. Let c(p) = -5*p + 4. Let x(h) = -4*b(h) + 3*c(h). Let j(t) = 4*t. Let v(k) = -j(k) + 3*x(k). Give v(f(a)).\nAnswer: -81*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1\/v*v)**(1\/6))**12)**(-3\/8) assuming v is positive.\nAnswer: v**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 847734 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9516 - 5461 = 152*o - 1147 - 150 for o.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 709.2, 0.5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*z - 11985 = 1886*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20126203*j - 153410852 wrt j.\nAnswer: -20126203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -1.1. Let x = h - 0.3. Which is smaller: -1\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h. Let i be (0\/(-4))\/(-1 - -3). Suppose 5*g + 5 = 5*j, i = j - 2*j + 4*g + 13. Give u(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**3\/2 + 3*a**2\/2 + 3*a + 3. Give j(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8715 is divided by 1742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -38. Let x be z\/(-15)*0 + 0. Determine j so that -2\/9*j**3 + 0*j**2 + x*j - 2\/9*j**5 + 0 + 4\/9*j**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 88. What is the remainder when 83 is divided by ((-168)\/(-30) - 6)\/(x\/70)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus 2.36?\nAnswer: 7.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 3, 0.02, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66716879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084 = -4*g - 4*r, -2*g - g = -3*r + 807. What is the remainder when 3602\/20 + 1 - (-27)\/g is divided by 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.036+-8201.51606\nAnswer: -8201.55206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -1360454.42 and -5.\nAnswer: -1360459.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 27*m - 475. Let b be d(18). Solve -9 = 2*h - c, 3*c + b = -5*h - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**2. Let y(p) = 7*p**2 - 4. Calculate i(y(u)).\nAnswer: 392*u**4 - 448*u**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c - 19. Let q be h(3). Suppose -q*u - 35 = -s, 0 = -2*s - s - u + 105. What is the lowest common multiple of s and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*k + 6 = 0, 4*k = -k - 15. Suppose -3*h + 2*j = -4, -9*h - j = -4*h + 2. Factor -2*f**2 - 4*f + 1 + h*f - b.\nAnswer: -2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230878.7kg to grams.\nAnswer: 230878700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5403*t = -5405*t + 35, -d = 4*t - 25. Let r = 3.97 - -0.03. Let s(o) = -o - 5. Let u be s(-13). Which is the nearest to u? (a) 3\/2 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*o**4 + 6*a**3*o - 48*o**4 - 5*o**2 wrt o?\nAnswer: -24*a**3*o - 1152*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.123 - -6.73. What is n rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-3 - (0 + 10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9720\/405*(-1 - (-8)\/6 - 0). Solve 0 = 5*w + 10, 2*f + 11*w - 6*w = -q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/317 less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30535 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d - 22. Let l(c) = -c + 11. Let k(w) = 9*l(w) + 4*t(w). Let z(a) = -a - 1. Let u = 353465 - 353469. Determine u*z(j) - k(j).\nAnswer: j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.447 + -2.447. Let d = 5.1 - 1.1. What is the smallest value in f, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 4*g**2 + 3*g - 1. Let l be y(4). Let o(s) = s**3 - 6*s + 6. Let w(d) = -2*d**3 + 11*d - 11. Calculate l*o(f) + 6*w(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -130\/2059 in 0.1, -0.4, 5\/2, -0.1, 0.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 4*c**3 - 2*c**3)*((-2 - 2 + 5)*(-2*c + 2*c + c) + 12*c - 53*c + 25*c).\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddldddddldddldd. Give prob of sequence dl.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272199?\nAnswer: 3, 41, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 25181816?\nAnswer: 25181823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*h - 39 = 3*v - 26*h, 220 = 4*v - 20*h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x = 0. Suppose x = 3*v - 10 - 26. Let l = -1292 + 1297. Solve -w = -l*w - v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(1\/7)*9491. Let m = -18126 - g. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 8\/7, 0, -79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1536*a - 1530*a - 4*f = 42, 1713 = -3*a - 287*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.87314198 and -0.6.\nAnswer: -3.47314198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48002 divided by -5.\nAnswer: 48002\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 7*w - 14. Let d(j) = -2*j**2 - 2*j + 4. Let g(v) = -28*d(v) - 8*t(v). Let s(i) = -145*i**2. Give s(g(p)).\nAnswer: -37120*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 148 = 7*g. Let m(v) = 15 - 10*v**2 + 22 - g. Let x(d) = -d. What is x(m(h))?\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2, -5*y + 3*b = -7 - 10. Let o(k) = -k**2 + 4*k + 4. Give o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25776 and 1082592.\nAnswer: 1082592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {x: 17, c: 3}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69669 is divided by 711?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/570 and -61\/9?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109708784 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1154759 is divided by 20995.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1218592194?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 932*t**3 - 66864*t**2 + 560560*t + 148800 = 0?\nAnswer: -60\/233, 10, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12)*b*b*(b*b*b*b**15*b*b)\/b)\/(b**(-4)*b)**(-37) assuming b is positive.\nAnswer: b**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*w**3 + 119*w**3 - 57*w**3.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -6*r + 24 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11732 + -8120. Calculate the greatest common factor of 252 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/53)*m*m\/((m*m**(2\/3))\/m) assuming m is positive.\nAnswer: m**(206\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4608 - -4616.158. Let o = a + -0.158. What is the second biggest value in 3, o, -4, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4878 (base 12) to base 5\nAnswer: -230111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 22.8. Let i = 19 - 31. Let l = i + 11.9. Which is the closest to l? (a) -0.1 (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4 - 2*b + 0*b + b. Let a(v) = -v**2 - v + 5. Let s = -334 + 331. Give s*j(k) + 2*a(k).\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -11, 2\/15, 0.2, 525\/74?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860 divided by 4.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.00521 + -0.05621. What is the smallest value in m, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3219561 and 9?\nAnswer: 3219561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 4*m - 8, -2*v + 19*m + 16 = 17*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -85128178*d**2*u**4 - 4398448*d**2*u - 6*d*u + u wrt u.\nAnswer: -1021538136*d**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 7.1785.\nAnswer: 35.8925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -55. Let n be (-440)\/36 + (-4)\/(-18). Let a = n - g. Solve -l - a = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 384. Let n be ((-37)\/(-2))\/(224\/i). Find l, given that -n*l**2 - 6*l**3 - 8\/7 - 8\/7*l**4 - 48\/7*l = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**3\/3 - 3*d + 1. Let z be 3*-3*(-80)\/120. Let r(c) = -5*c**2 + 13. Let m = 70 - 44. Determine m*k(h) + z*r(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 10*o - 169. What is d in 189*d**4 - 20 + 135*d**4 - 208*d**3 + 204*d**2 - 284*d**4 - 34*d + 5*d**5 + o*d**5 = 0?\nAnswer: -5, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 + 513. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-481 - 230*y + 481)*(59 + 31 - 28 + (1 - 2 - 1)*(5 - 2 - 1)) + (-3 + 0 + 4)*(2*y - 3 + 3) in the form q*y + p and give q.\nAnswer: -13338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*q**2 + 26 + 67*q**2 + q + 2*q**3 - 136*q**2 - 2*q**4 in the form t + m*q**4 + z*q + r*q**3 + b*q**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(0 + 0 + y) + y + 5*y - 5*y + (y - 1 + 1)*(2 - 1 + 1))*(0*y - 5*y + 4*y)*(-2*y + 3*y - 3*y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208073237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139539, -138609, -137679?\nAnswer: -136749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(80\/(-12)) - (1 + -1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/11)\/(z\/z**(3\/2)))**(3\/2) assuming z is positive.\nAnswer: z**(27\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(80) + -1*sqrt(80)*5)\/(sqrt(144) - (sqrt(144)*1 - sqrt(144))).\nAnswer: -4*sqrt(5)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 746 - 4573\/6. What is the common denominator of z and -37\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**0)**15*(t\/t**1)**(1\/48))**(2\/25))**(3\/16) assuming t is positive.\nAnswer: t**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1434 + 6199. Suppose -q = 24*a - 19*a. Let f = a + 1896. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**5\/7 - 8816*n**4\/7 - 4866340*n**3\/7 - 9521544*n**2\/7 + 96764688*n\/7 - 116371296\/7 = 0?\nAnswer: -1101, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-15))\/(20\/25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 - 109 + 322 - 13*w - 110 to n*w + d and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxtd when four letters picked without replacement from {x: 5, t: 3, d: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614746476?\nAnswer: 2, 3, 5692097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -212, 5, 3 in ascending order.\nAnswer: -212, 3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*t + 7861, 5657 = 5*r + 2*t - 7442. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 + 168 - 658 + 166 - w + 164.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17834912\/(-7) + 21\/(-49). Let g = 1507845 + w. Round g to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -22, -39, -54?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2580 and 604980.\nAnswer: 26014140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 12. Which is the smallest value? (a) -3 (b) i (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1083176 + -143?\nAnswer: 1083033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-70) + 1)*64\/32\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15525 + 108848\/7. Which is bigger: u or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o + 105. Suppose 11 + 14 = 5*y. Suppose -7*v = -4*v + y*k - 22, -4*k = -v - o. Is v less than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 10. Let s be y(-5). Suppose s*b = b - 2. Let p = 7 + -2. Solve -5*q = b*c + 23, 0 = p*q + 3*c + 31 - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**5 - 13112*l**3 + 343636*l**2?\nAnswer: -300*l**2 - 78672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17040 is divided by 7432?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*2\/(-16)*-4. Let w = p + 19. Solve 4*h + 0*h = -w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -1\/3 (b) 3 (c) 4800 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13861 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p. Let h(f) = -171*f**2. Calculate h(a(g)).\nAnswer: -2736*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + y**2 + y**3 + y + 0*y**2 + 22. List the prime factors of v(0).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 101.\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 + 3. Let s(w) = -3*w**2 - 2. Let c = 8 - 5. Let y(u) = c*s(u) + 2*g(u). Let b(x) = -x. Calculate y(b(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1093798*f**2 + 19422*f wrt f?\nAnswer: -2187596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 11*b**2 - 10*b + 7. Let z be c(12). Is (-4)\/2*(z\/(-2) + 0) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + j = 2*j - 54, -3*j - 8 = -2*q. Let w(o) = 2*o - 6. What is the tens digit of w(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2228 + -2229. Let g = 1 - -6. Suppose 0 = 6*w - g*w + 4. What is the closest to 2 in m, w, -9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 11:07 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/120 + o**5\/20 + o**4\/6 - o**3 + 2*o**2 - 387*o. Determine x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -20. Let p = -6 + d. Suppose 2*r - 4*y - 34 = 32, 2*y = -5*r + 225. What is the remainder when r is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, -4, 181, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -300 divided by -5\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {l: 1, a: 1, p: 4, g: 1, t: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 - (-9 + -11 + 11 + 10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1883\/110 + 185\/22. Let u be 2\/(-1) + (-431)\/(-220). Let q = v + u. What is the common denominator of -31\/6 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 182 = 2*c - 7*c, c = -3*d + 28. Suppose m = -3*m - 2*s + 26, 5*m - c = 2*s. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v - 7 - 3 - 3 + 17 - 3. Let s(c) = 21*c - 5. Give -22*f(u) - 4*s(u).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -8, 0, 20, 58?\n\"Answer: w**3 - 3*w**2 + 4*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 96223400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114833 - -1723403\/15. Which is smaller: 61 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**3\/2 + i**2 + 16*i. Let z be 2 + 2\/1 - 2. Determine c(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 89*z - 517. What is v(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101 - 73 - (23 - 0)) + (-3 - (3 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/70 - 9\/63 and 26\/49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -39. Which is the nearest to -3? (a) -6 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 4.62.\nAnswer: 9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let t be 6\/(-4)*(-132)\/99. Sort t, q, -12, 3 in ascending order.\nAnswer: -12, q, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14435589 or -14435590?\nAnswer: -14435590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**2 + 84*z - 19. What are the prime factors of f(-15)?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 484215225 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2027, 2489?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ba - -a?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84, -92, -100?\n\"Answer: -8*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 47*k**4\/4 - 11*k**3\/3 - 11*k**2\/2 + 11*k - 916. Let b(y) = -24*y**3 + 6*y**2 + 6*y - 6. Calculate -6*a(r) - 11*b(r).\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6783 + -6754. Sort -7, g, 2 in descending order.\nAnswer: g, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*a + 15*a + 13*a + 5*a as v*a + l and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuussuuuu. What is prob of picking 4 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 - -150. Solve 3*z = -2*v + 7, y*z - 4*v - 35 - 1 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*r - 98*r + 228*r.\nAnswer: 323*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1885*q**2 - 4905*q**2 - 1506*q**2.\nAnswer: -4526*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (419 - 429).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 - 0.164. Let r = 0.026029 - d. What is r rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a day in minutes?\nAnswer: 21312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + 17. Let f(w) = 3*w**2 + 25*w + 86. Let d be f(8). Let t = d + -449. What is the remainder when t is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 997 - 995. Solve -l + 7 + 0 = -o*w, 4*w = l - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11777, -94118, -317617, -752852, -1470401, -2540842?\n\"Answer: -11763*k**3 - k**2 + 3*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 4 = 3*o + a, -3*a = -11*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8489 - 14580*i + 7291*i - 1356*i**4 + 7289*i wrt i.\nAnswer: -5424*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2\/9 - 314000*y\/3 + 12324500000 = 0. Calculate y.\nAnswer: 235500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 562*a + 111*a - 167*a - 25252942. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 85451.71 centuries?\nAnswer: 8545171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from wbrbbbwburbyrbywwr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (33\/99)\/((-1)\/(-114591)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b*m*p*w**3 + 23*b*m - 2*b*p + 7*b*w**3 + 5*m*w**3 + 4*p*w**3 + w wrt m?\nAnswer: 2*b*p*w**3 + 23*b + 5*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.06 - 2.26. Which is smaller: r or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m**2 + m. What is the hundreds digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -15*x**2. Let o(i) = 105208*i**2. Give s(o(t)).\nAnswer: -166030848960*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23908.13 millennia to years.\nAnswer: 23908130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-657)\/36)\/((-18)\/(-8))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6187187370 + 15?\nAnswer: -6187187355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 13 = o. What is the remainder when o is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1146 = 5*f - 179, 4*a - 1054 = 2*f. Suppose 465 = -6*x + 3105. Let r = x - a. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (5 - 3) - -2. Let m(s) be the third derivative of 0*s + s**2 - 1\/20*s**6 - 1\/12*s**4 + 0 + f*s**3 + 1\/10*s**5 + 1\/105*s**7. Factor m(x).\nAnswer: 2*x*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y - 4. Suppose 3*p = 26 - 2. Suppose -5*d = -p - y. Solve -u = -2*u + d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 13*u - 130 = 0. Let d(k) = -10*k**2 + u*k**2 - 11*k**2. Let z(w) = -3*w. Determine d(z(s)).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 421874617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-27)\/63)\/(527\/119))\/((-9)\/(-2))?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1047*a + 5. Let q(f) = -f. What is t(q(j))?\nAnswer: -1047*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -394 - -393.3. What is the nearest to -0.2 in 1\/4, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7 - 2*f + 7 + 0. Let s(z) be the third derivative of 19*z**4\/24 + 6*z**2. What is x(s(l))?\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65975.\nAnswer: 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87.8 + 47.8. Sort w, 5, -5 in descending order.\nAnswer: 5, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 701\/264 - -1\/88. Is 3 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2461 (base 12) to base 13.\nAnswer: -75337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988232 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-6)\/(-4))\/((-261)\/580))\/((-4)\/6). Solve -k + 5 = -2*h + 12, -k + b = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/14 and -43\/54194?\nAnswer: 54194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -404162279 and -1212486841\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.415 - 0.085. Let y = s + -39.5. Which is the third biggest value? (a) y (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 33*f + 1. Let a(k) = -149*k - 5. Let n(b) = 14*a(b) + 63*r(b). Let z(s) = s - 2. Let g be z(6). Let i(m) = -3*m - 3. Determine g*n(v) - 9*i(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 188943 + 6*k - 188943. Let y(g) = -14*g**2 - g. Determine y(f(d)).\nAnswer: -504*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5775 divide 439951050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1886 = -80. Is q a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 688\/3*l + 2\/3*l**2 + 59168\/3 = 0.\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 27*p + 107 + 115 - 17*p - 304.\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (127*p - 48*p - 54*p)*(-3*p - 2*p + 3*p)*(9*p + 725 - 725) in the form o*p**3 + j*p + v + k*p**2 and give o.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -520 divided by -5\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439364, -438052, -436742, -435434, -434128?\nAnswer: -432824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.1 - 0.1. Let l = a - 3.7. Let q = -5 - -5.2. What is the closest to q in -2\/15, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - 26*s + 178110 + 1412391. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4308882661?\nAnswer: 4308882661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/12 - i**3\/6 + 5*i. Suppose r(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 - -138 - (-4 - (10 + -2))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:51 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**3 - 7*h**2 + 7*h - 3. Let o(d) = 5*d**3 - 3*d**2 + 3*d - 1. Let w(c) = 5*o(c) - 2*s(c). Give w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b**2*n - 114*b**2 + 8*b*n + 8*b + 883708*n wrt b.\nAnswer: 16*b*n - 228*b + 8*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Suppose -f - 26 = -u*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 46*c - 3. Is s(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 239127 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.19 - -1.29. Let c = b - -1.9. Let v = 3 + -2. What is the second smallest value in -1\/2, v, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3692, 3697, 3702, 3707, 3712?\nAnswer: 3717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 58 - 178 = 0. Solve 3*a + 0 - 17 = 2*z, -r = -5*a - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 2 q when four letters picked without replacement from bbbdbdjdqxdxdqddqx.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008295664 to seven dps.\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-702)\/(-249)) - -1 - 38\/(-57)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*o + 16. Suppose -5*u - l + 8 + 7 = 0, 2*u - 2*l + o = 0. Which is the closest to 2\/7? (a) -5 (b) u (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by -12\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/9 and -17\/327.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*t - 8 + 6 + 15*t + 0 to j + u*t and give u.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.1, 2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a52 (base 13) to base 9.\nAnswer: 15416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 949*p**3*w - 130366*p**3*x**2 + 2*p**2*w*x**2 - p**2*w*x + 4*p**2*x**2 + 2411*p**2*x + 7*p*w - 194*w*x wrt p?\nAnswer: 5694*w - 782196*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58.466 and -90.\nAnswer: -148.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/(-210)*14\/12.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*g**3*u**3 - 150*g**3*u - g*u - 10*u**3 - 3*u**2 wrt u.\nAnswer: -690*g**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -26*r**2 - 16*r. Let k(b) = -5579*b**2 - 5*b + 5562*b**2 + 0*b - 6*b. Give 5*g(y) - 7*k(y).\nAnswer: -11*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/((-1112)\/3475)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-15)\/(-10) - 1). Which is the second smallest value? (a) -60 (b) -5\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18525355 is divided by 2495.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-10))\/((-16)\/80). Let t be (-1680)\/((-4)\/(-16)*z). Suppose -5*b + t = 965. Is b 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 3:11 PM and 4:39 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 + -123. Sort 1, -2, -1, t.\nAnswer: -2, -1, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(2) + 0 + -3.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/140 - 353*j**4\/56 - 177*j**3\/7 + 3118*j**2. Suppose a(o) = 0. What is o?\nAnswer: -1, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 3*m - 2*d - 14, 0 = 5*d - 25. Let w be (-363)\/12 - (-2)\/m. Let g = w - -45. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 27 - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101 + 106. Suppose -8 = 5*i + 2, 2*z - 4*i = 52. Calculate the remainder when z is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7752493098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.5, -0.05, -6, 4\/13, 0.26?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 - 7*p - 9. List the prime factors of k(-6).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 829580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddwvaaavdz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21046.9 rounded to the nearest 100?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -21. Let v = l - -25. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*d - 433, -25*f - d + 439 = -23*f. Solve f*p - 212*p = 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5990331 is divided by 386?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40 - -0.577\nAnswer: -39.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 4*u + 5*b, 5*u - 4723*b + 4727*b + 29 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = -5*j, j + l + 18 = -2*l. Let u be -1 - (1 + -2) - 5. Suppose 2*i = -2*s - 3*i - 22, 2*i + 3 = 5*s. Sort u, s, j in increasing order.\nAnswer: u, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = -2*t, 5*t - 3*x = -6*x + 22. Solve t*u = 2*n - 2 - 6, -3*u - n = 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1206450*f**3 - 27*f**2 - 23407 wrt f?\nAnswer: 7238700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1365 and 74256?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3979 + -3979.021833. What is b rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 32*l. Let n be k(1). Let s = n - 15. Solve -o + a = -0*o + 9, -o + 3*a - s = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**3 + 4*r + 1. Let o(j) = 2*j**3 + 3*j + 1. Let t be (-78)\/741 - (1 + (-55)\/(-19)). Calculate t*o(q) + 3*p(q).\nAnswer: q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 376 or 0.1?\nAnswer: 376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/(10\/15 - 0). Let z = 113 + b. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2031525497 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**6\/210 - 11*w**5\/35 - 24*w**4\/7 - 296*w**3\/21 + 3382*w**2. Find x, given that h(x) = 0.\nAnswer: -2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkggggkggkkgg.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d*d**(-3\/8)\/d)**(-13)*d**6\/((d\/((d**(-2\/19)*d*d)\/d))\/d)*d\/(d*d*d**(1\/5)\/d*d)*d**1 assuming d is positive.\nAnswer: d**(38433\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -676*d*w**2 + 15*d*w - 6984*d + 6579*w**2 + 22 wrt w?\nAnswer: -1352*d + 13158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/(-1)*(80\/1440)\/(1\/(-18))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(832) + sqrt(832) + ((-1 + sqrt(832))*-1)**2) + -2.\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + o**4 + 10*o**2 + o + o - 8*o**2 in the form g*o**3 + i*o + y*o**2 + p*o**4 + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.461133km to millimeters.\nAnswer: 461133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2 - (-87)\/((-9)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-6 + 6)) + 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.3 + 7. Let j = 1189 - 1189. Which is the fourth smallest value? (a) m (b) 3\/4 (c) j (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237037623 divided by 2181?\nAnswer: 108683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1460*g**4 - g**3 - 2253 wrt g.\nAnswer: -5840*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -5695452?\nAnswer: 5695452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12948 + -12838. Let m = -0.23804 - 108.29196. Let h = p + m. Round h to 1 dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-10)*(-270)\/(-4). Suppose i - 21 = 2*x. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjtljj. What is prob of sequence jl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6884 is divided by 229.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, n: 7}. What is prob of picking 1 n and 3 v?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 43. Let q(j) = -32*j**3 - 48*j**2 - 28*j + 12. Let i(n) = 13*n**3 + 19*n**2 + 11*n - 5. Let t(h) = g*i(h) - 5*q(h). Factor t(u).\nAnswer: 4*u*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(4\/24*-2). Suppose 8 = q*k + k. Factor -2*n - 5\/2*n**k - n**3 - 1\/2.\nAnswer: -(n + 1)**2*(2*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2287 divided by 20\nAnswer: -2287\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*s - 16 = 0, 3*c - 2*s + 0*s - 20 = 0. Let p be 0\/((-1 - -2) + -2). Let n = c + p. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1104)\/(-345))\/(4\/(-10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*g**2 - 2*d**2*g*j + 121821*d**2 + d*j - 12*g**2 + 6637*g*j - 2 wrt d?\nAnswer: -4*g**2 - 4*g*j + 243642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from {b: 1, t: 3, i: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/(-62)*2\/(-10)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13)*p*p**(22\/3)\/p assuming p is positive.\nAnswer: p**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 3 (c) -0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**3 + 3*t**2 - 2*t - 5. Let k(b) = 11*b**3 + 5*b**2 - 3*b - 8. Let w be (7 - 2)*(0 + 1). Give w*k(r) - 8*c(r).\nAnswer: -r**3 + r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 637 and 1547?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 80208?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -465 + 483. What is the highest common factor of c and 726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38377?\nAnswer: 38377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 159 + 45*t + 48*t - 190*t + 67*t - t**3 - 131 - 18*t**2. Give v(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*r + 16825, -2*r - 19343 = 4*i + 3047. Round i to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -259371 by 23.\nAnswer: -11277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 2*v + 3*l - 24, 14 = v + 3*l. Let y = -1 - -0.6. Sort y, v, -3 in decreasing order.\nAnswer: v, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.9, 2\/7, -9, 2 in increasing order.\nAnswer: -9, 2\/7, 2, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267853 is divided by 236?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + -1 + 1 + (sqrt(17) - (sqrt(17)*1)**2).\nAnswer: -17 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*n - 2*h - 1, 5*n = 4*h. Let t be (-166)\/(-6) + n\/6. What is the greatest common divisor of 108 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9646 and 156?\nAnswer: 57876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 211001101220?\nAnswer: 211001101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 29*o - 44*o**3 - 1\/4*o**4 - 4 - 2904*o**2. Determine n so that r(n) = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -63, -61, -61, -63, -67, -73, -81?\n\"Answer: -p**2 + 5*p - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 4*u - 1. Let r be z(3). Suppose -x = r*w - 478004, 2*x - 7*x + 717020 = 3*w. Round w to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37409204 by -9352301.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (2 + 0 - 3)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-35 - -11 - -12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z - 8. Let t(s) = -13*s + 15. Let i(p) = 7*a(p) + 3*t(p). Suppose -r - 67 + 77 = 0. What are the prime factors of i(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25766248 divided by 11852?\nAnswer: 2174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/120)\/(20\/(-6)). Which is bigger: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + y**2 - 2 + y + y**3 + 0 + 1 + 2*y**4 in the form k*y**4 + r*y**2 + j*y + i*y**3 + x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4896796?\nAnswer: 2, 193, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:54 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 7)*(-3*n + 0*n + n) + 9*n - 13*n + 6*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-68.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 262 divided by 3\nAnswer: 262\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 147137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40102 + -13?\nAnswer: 40034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/171 and 27\/151903.\nAnswer: 25975413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000323317693 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 16944000 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 184*w + 1653. Give h(-171).\nAnswer: -570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69.2 - 69. Let y = 2\/175 + -39\/350. Which is the second biggest value? (a) n (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 5. Determine z(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4) - -2)*(10 + 2). Solve -6*q + v = -0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7434 - 125.7299058.\nAnswer: -129.4733058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + 0)*-2 - (2 + sqrt(57)\/sqrt(3)).\nAnswer: -5*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44562536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-486)\/(-99) + -6)\/(-2 + 5)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 921199 and -0.085237.\nAnswer: 921198.914763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 12*d**2 - 21*d + 4. Determine w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8405 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1544 and 22583?\nAnswer: -3486.8152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1100 = t + 156, 5*y - 6282 = 3*t. Is 3\/(18\/y)*(1 + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13146 is divided by 13128?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -724*s - 266871648 - 163469476 = 92951596. Round s to the nearest 1000.\nAnswer: -723000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16728*j**4 + 19*j**3 - 696392*j**2 wrt j.\nAnswer: 401472*j + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/11 - 2902*v**2 - 63838*v\/11 - 31918\/11 = 0. What is v?\nAnswer: -15959, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**9\/5040 - g**6\/240 - g**4\/24 + g**2. Let y(a) be the second derivative of l(a). Find the second derivative of y(s) wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5740 = 4*x, -2*x = -v + 3*x + 2856. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnot when four letters picked without replacement from {t: 5, n: 2, a: 5, o: 7}.\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-7) - 21\/(-49). Are g and -14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2107 - -2115. Solve 34*w - o = 26*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:02 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 7*b**2 + 10*b - 10. Let f be n(7). Let m be f\/(-25) - (-1 - 1). What is the smallest value in m, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2021716227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**2*w**3 - 36877*n**2*w**2 - 59*w**3 - 5*w**2 + 51*w wrt n.\nAnswer: -2*n*w**3 - 73754*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 173.40734?\nAnswer: 172.40734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -34000.\nAnswer: -34000.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.128 - -1.134. Which is the closest to 0.2? (a) 3 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-35)*(-15)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13918 + -0.06082. Let n = -4.9 - -5. Put -2, l, n, 1 in decreasing order.\nAnswer: 1, n, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7905 + 7905 + 547*y**3.\nAnswer: 547*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-11))**(-9\/8)*b**(3\/5)*(b*b*b*((b**(2\/67)\/b)\/b*b)\/b)\/b assuming b is positive.\nAnswer: b**(-8623\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -85 + 219. What is l rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2\/7 (c) -0.1 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d - 16. Suppose 5*i + 2 = r + 2*i, d*r - 48 = 2*i. What are the prime factors of 3 + r + (0 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 21*v**2 - 171 + 347 - 23*v + v**3 - 173. Let b be f(-22). Suppose -11*x + 6*x + b = 0. Solve 2 - x = -3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2695 and 26705.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 9*c - 10. Let u(m) = 2*m**2 - 9*m - 9. Calculate 5*b(n) - 6*u(n).\nAnswer: -2*n**2 + 9*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from absubrrurrarurrua?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3210919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + 6. Determine k(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -343\/10*i**3 + 5733\/10*i**2 + 59319\/10 - 31941\/10*i = 0.\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 680?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 (base 13) in base 12?\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -69*c + 48. Let v be n(10). Let o = -457 - v. Let d = 342 - o. List the prime factors of d.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 813965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g + 3*g)*(-1 - 1 + 0) + g - 2 + 3*g - 2*g.\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + 0.1. Let k = u - 0.8. Let n = -7 + 29\/4. Which is the nearest to 0.1? (a) k (b) n (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 18. Solve r = -2*d + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 45. Suppose a*c + 1910 - 5871 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322388516 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 264 = -8*d. Let h = d + -60. Solve h*q - 6 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**4 - 2*c**2 - 16*c + 8479?\nAnswer: -4*c**3 - 4*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - 843 + 877 - 5*i - 5*i**2. Determine t(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2760\/348 + -8?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 7*q - 9*q. What is the remainder when ((-156)\/q)\/(3\/(18\/(-4))) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.45 - 3.7\nAnswer: 33.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -36, -29, 0 in increasing order.\nAnswer: -36, -29, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 31*v**4\/4 - 2*v**3\/3 + 2*v**2 - 8722. Let p(n) = -n**3 + n. Give 3*p(x) - q(x).\nAnswer: -34*x**3 + 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8393 = -f - 10*f. List the prime factors of f.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 2*i + 2*i**2 + 1 - 4*i**2 - 2*i. Let g be p(-2). Let d(x) = 0*x**2 + 3*x**2 + 4*x + 3 - 2*x**2. Give d(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 24 + 30. Let f = t + -17. Let i be (-1 - 0) + (f - 9). Solve 4*b - 3*b - 2*x - 9 = i, 2*b + 2 = -x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*y**6 + 1728342*y**3 - 175320*y**2 - 50?\nAnswer: 5040*y**3 + 10370052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h**2 + 0*h**2 + h**2)*(6 + 6 - 5) + (2*h - 4 + 4)*(2 - 2 + h))*(-3 - 1 + 6).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 2162. Let c be f(0). Let t = c + 4390. What are the prime factors of (-8)\/20 - (t\/(-20) + -3)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**3\/3 + 3*x**2\/2 + 3*x - 14. Let a be p(3). Find the second derivative of 3*w**a + w - 7*w**3 - w**3 wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1924011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25113356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 495\/(-660) - 2\/8*-27. Suppose -f*o + 1994 = -136. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1716 (base 11) to base 6.\nAnswer: -14055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + j)*(-2 + 6 - 2) + 5*j + 1 + 4 - 3.\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 560 - -2446. Is 75 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 13) to base 6\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 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: In base 5, what is 131 + -1?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(448) + (sqrt(448) - (2*sqrt(448))**2)*4 + 2).\nAnswer: -160*sqrt(7) + 28664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*i + 509 = 0, -6*r - 3*i = -2*r + 491. Let z = 179 + r. What is the greatest common divisor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8 - 24 - 9 + 3 + 6*m. Let l be d(9). Suppose 25*w = 17*w + l. Solve 7 = i + w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/8 + 2\/8. Suppose -21 = -0*u + j*u. Let p = -4 - u. Solve 6 + p = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*h - 2 + 5 - 3.\nAnswer: -53*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*(-2 - (-5)\/4). Let w(s) = s**2 - 3*s + 1. Let r be w(x). Let f(y) = 4 - 2*y - 6 + 3*y. Give f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-357)\/630 - (-22)\/33.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(261\/(-54) - -5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c. Let j(t) = t**2 - 2*t. Let k(v) = 2*v**2 - 4*v**2 - 11*v + 4*v**2 + 3*v**2. Let n(i) = 22*j(i) - 4*k(i). Calculate n(h(r)).\nAnswer: 242*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83903*b**2*g**3 - 86109*b**2 wrt g.\nAnswer: 251709*b**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 6*y - 6, -6*i - 12 = -2*y. Do i and -5978 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 38 = -12*o - 4*a, -2*o + 4*a - 24 = 0. Factor -r + 0 + 7\/4*r**o.\nAnswer: r*(7*r - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.861 + -6919392866\nAnswer: -6919392871.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v**2 + 11*v + 70. Let h be o(-6). Let i be h\/(-6) - (-106)\/159. What is the greatest common divisor of i and 132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + a**2 + 110*a + 338. Determine w(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1479970 and 0.3.\nAnswer: 1479970.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 11. Let h(m) = m + 14. Let s be h(i). Solve a = -4*r - 20, 5*r + 25 = 3*a + s*a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.058l?\nAnswer: 26058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/5)\/q)**(-2\/37)*q**(18\/5)*q*q**(1\/4) assuming q is positive.\nAnswer: q**(721\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 18. Suppose -4*n = c*u - 88 - 40, -5*u = 4*n - 164. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51201 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-318)\/(-6)*-1. Suppose 0 = -5*r + t - 0. What is the greatest common divisor of r and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000295419 to 7 decimal places.\nAnswer: -0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -50*l - 54. Give c(15).\nAnswer: -804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -22170\nAnswer: 1\/22170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 157? (a) -5\/2 (b) 1\/3 (c) 1\/252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9 - 15*m + 7*m**3 + 14*m**2 - 12*m**3 + 6*m**3. Let x be z(-15). What is the greatest common factor of x and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9. Suppose o = -4*r + 4*f + 176, -2*f - 230 = -5*r + f. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}