diff --git "a/data/dm_maths/full_data_2/2341_11255.jsonl" "b/data/dm_maths/full_data_2/2341_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2341_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify 1*-6*(sqrt(99)\/(sqrt(27)\/sqrt(3)) + 1)**2.\nAnswer: -72 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 2*w**3\/3 + 5*w**2\/2 + 10. Let t = -1875 + 1872. Give k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*j, 5*k = -j - 9 - 2. Suppose -8*x - 589 + 597 = 0. Let b be k - (833\/(-28) - x\/4). Solve -19 = -p - 3*n, 2*p = -p - 3*n + b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1 + 5 - 4 - 3. Let u(j) = j**2 + 2. Let s(n) = -5*u(n) - 4*z(n). What is the first derivative of s(t) wrt t?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 201*a + 234*a - 32 - 398*a with respect to a.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t - 3*t)*(1 + 1 - 5) + 0*t + 2*t + 0*t + (-17 - 19 - 17)*(-3 + t + 3).\nAnswer: -57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 102*i**2.\nAnswer: 3*i**2*(i - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9389 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 1 - (-4)\/2. Let q(t) be the third derivative of -t**4\/8 - t**3\/3 - 5*t**2. Let g(d) = -4*d - 3. Give c*g(f) + 3*q(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -415184, -830375, -1245566, -1660757?\nAnswer: -2075948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r - 134 + 665 + 8 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j + 25 - 169 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71527.9*-2.\nAnswer: -143055.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2443 + 17095\/7. What is the biggest value in 0.04, -2, c?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1586*n + 73290 + 14733 = 671*n for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27627108.\nAnswer: 2, 3, 17, 135427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.95 and -2623.7176624.\nAnswer: -2624.6676624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 6. Let i be c(5). Let r be -5*(-1 + (-1 - i)). Suppose 2167*b + 440 = 2277*b. Solve 8*t + x = 4*t + 7, r*x - 3 = -b*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121122 + 1121202200?\nAnswer: 1111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-14)*(84\/10)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11167, -21876, -32583, -43288, -53991, -64692, -75391?\n\"Answer: b**2 - 10712*b - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -6) + -3 - (3 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 2*d**2 - 61*d + 5329. Determine l(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 3 + 22*d - 10*d - 14*d in the form o*d**2 + n*d + b and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -38*p**2 - 365*p + 4419. Determine u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*s + 17, -85*o + 80*o + 5*s + 40 = 0. Let t be 2 + -2 + -16 + 2. Which is the second smallest value? (a) t (b) o (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2158*a - 1266. What is the remainder when r(1) is divided by 77?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -0.5 (c) -1341887\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*x**5 - 7752*x**4 - 159378*x**3 - 233283*x**2\/2 - 28920*x - 2400.\nAnswer: -3*(x + 40)**2*(4*x + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2574083099 to the nearest integer?\nAnswer: 50735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g - 3*g**4 - g**2 + 3 + g**3 + 5*g**4 - 2 + g in the form o*g**3 + s*g + p*g**2 + n + z*g**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 8. Let g be n(8). Let f be -1*(1 - 3) + g. Let o(j) = j**f + j**2 + 0*j**2. Let d(t) = t. Calculate d(o(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 560614 + -43?\nAnswer: 560591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -843 divided by -75\nAnswer: 281\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 + 20. Let b = -125\/3 - f. Let h = 0.8 + 2.2. What is the closest to b in 5, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-1)*(-8)\/64*8)\/((-6)\/33)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from uxxuxouuouooxxduxd.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-427) - (-12)\/42) + (-3192147)\/60472350?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1883*q + 48906. Determine g(-26).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2371 to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times 62\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-45) - 188\/(-765). Let u = 164\/255 + x. Let k = -1 + 1. Which is the nearest to u? (a) k (b) 0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 14*p**2 - 91*p + 3. What are the prime factors of w(-5)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -4103189?\nAnswer: 4103188.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 53 = -5*z, -3*z + 0*z = 2*j - 33. Let p(h) = h**3 - 6*h**2 - 3*h - 4. Give p(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) 14.2 (d) -1\/3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = 88. Let m be 184\/a - (-4)\/(-22). Is (-1055)\/(-20) - (-1)\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0058749 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9223603 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/4 + 5)*-14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/(13\/(-2158)). Let y = j - -917. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371288 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36970213407 + -36970215466.9998973. Let i = v - -2060. What is i rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 6, g: 7, i: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:15 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60469831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 - -126. What is the second smallest value in -5, z, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + ((-6)\/21 - 153\/(-21)). Suppose 3*s + 1 = -4*l + 11, -h*l + 9 = 2*s. List the prime factors of l*149 + (-60)\/(-15).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/5 and 9\/1961087?\nAnswer: 9805435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*w = -131, -4*k + 3*w + 213 = -2*w. Let i = -32 + k. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/21)\/(2\/(-18)). Suppose -4*k + 2 = -3*k - 3*l, -q*k + 4*l = -11. Find the second derivative of -k*r + 9*r - 4*r**4 - 2*r + 0*r**4 wrt r.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n. Let s(z) = 30*z - 22. Let w(d) = -6*d - 6 - 2 + 22*d - 6*d. Let c(f) = -4*s(f) + 11*w(f). Give u(c(i)).\nAnswer: 100*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + 102112?\nAnswer: 102203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gag. What is prob of sequence ga?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(832)*-1 + sqrt(832) - sqrt(832))**2 - ((2 + sqrt(13) + sqrt(13))*-3)**2.\nAnswer: -71*sqrt(13) + 328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 153 = 75. Let g be w\/2 - (-12 + 17). What is the highest common factor of 204 and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 428*f**3 - 48*f**2 - 3*f?\nAnswer: 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198 + -2146 - (126 + 4)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/11 + (-4)\/(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 + -6.33. What is the closest to 1 in i, 1\/5, -1\/16?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 68. Let w be (-3)\/(d*-3)*(6 - 68). Put w, 2, 5 in ascending order.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*c = 289 - 1205 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - 17\/(-3))*276. Let b = s + 258. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -25. Suppose 6*i - y*i = -41. List the prime factors of i.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.9 + 9.3. Which is bigger: 0.2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5*u - 2 + 6*u)*(-170 - 47 + 59)*(-8 - 7 + 1)*(-3*u + 5*u - 4*u + (4 - 5 + 2)*(3*u - 2*u - 2*u) + 4*u + 0*u - 3*u) to w + i*u + t*u**2 and give t.\nAnswer: -4424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 67 * 3460\nAnswer: 231820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71052810?\nAnswer: 2, 3, 5, 283, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-90) + 4 + 105\/(-25). Let g = -0.03 + 0.43. Which is the nearest to l? (a) -0.1 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 19. Let y = 17 - 14. Suppose -4*s + 2*t + 44 = -2*t, -y*s + 13 = t. What is the remainder when b is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 11*p + 15. Let r = 24 + -12. What is the remainder when 5 is divided by k(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831e (base 15) to base 3.\nAnswer: 1102000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16*335\/536)\/((-3)\/3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.29 + 3.49. Let f = 0.8 + h. Let v = -3.99992 + f. What is v rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 2*s**3 + s**2)*(-2 + 1 + 0) - 138*s**3 - 167*s**3 + 142*s**2 + 311*s**3.\nAnswer: 8*s**3 + 142*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145 divided by -143?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*a + 147 = -3*a, -4*a = -4*d + 156. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + 581 - 349 = -934 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 5. Suppose 3*q = -q. Suppose q = f - 5*n + 7 - 1, -f - 3*n + 10 = 0. Calculate the remainder when 20 is divided by j(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -6. Let i be h\/3 - 16\/12. Calculate the lowest common multiple of (1\/i)\/((-1)\/12) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from hzuff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {g: 2, m: 1, z: 3, q: 10}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 91. Suppose h*t + 2*j = -t - 42, -t - j = 46. What is the remainder when (-20)\/(-25)*t\/(-2) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.95 * -255\nAnswer: -752.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**5\/2 + 17*s**3 + 46*s**2 + 87*s\/2 + 14 = 0.\nAnswer: -4, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 56 + 16*x + (8*x + 9*x + 7*x)*(0 - 2 + 4) in the form b*x + j and give b.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 420 = 105. Let i = j + 43. Calculate the common denominator of 97\/22 and i\/40 + 2\/8.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35.4 - -3.8. Let k = 27 + i. Let l = k - -2.6. What is the second biggest value in -0.2, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttr when three letters picked without replacement from {r: 4, t: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 9. Suppose -o*m = 3*h + h + 10, 0 = -4*m + h + 13. What is the units digit of m + 51 + 20\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 340.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2336.082kg to micrograms.\nAnswer: 2336082000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 9*t - 3 + 1 + 1. Let b be h(-2). Let x = b - 9. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/22)\/(19\/19*(-2)\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t. Let c(m) = -m - 1. Let f be c(-3). Let g(j) = 5*j**f + 67*j - 67*j. Calculate g(q(h)).\nAnswer: 80*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/14)*h*(h*h**(-1\/9)*h)\/h*h*h**4\/h**(-2\/33))**28 assuming h is positive.\nAnswer: h**(22234\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-21) + 76\/(-14) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0)*2\/4. Let t = -3 + n. What is the second biggest value in -0.4, 2\/5, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -4\/3, 2\/43, -2\/3, 18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(70\/8))\/((-50520)\/1260 + 40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 276, 1, -6 in decreasing order.\nAnswer: 276, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 10:28 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k - 33. Let h(f) = -5*f + 32. Calculate 6*a(b) + 5*h(b).\nAnswer: -b - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 22. Suppose 4*m - q - 11 = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -15. Let b = 65 - 65. Solve 4*t - 5*x = -b*t + 11, t = -3*x + d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 169*g**8\/56 + 145*g**4\/6 + 54*g + 1. Find the third derivative of m(n) wrt n.\nAnswer: 20280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18611 is divided by 443?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -14) + -3 - (-12 + 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -176*u + 3. Let z(c) = c - 12. Let s be z(11). Let j be l(s). Suppose 2*i - 3*n - 155 = -24, n = 3*i - j. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 46*z + 255. Let n be o(-9). Solve n*w - 32 = -w - 5*y, 26 = 2*w + 5*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + 23\/(-5). Let h(p) = -3*p - 5. Let t(m) = -2*m + 2 - 3*m + 6*m + 0*m. Let z(b) = k*t(b) - 2*h(b). Let d(o) = 3*o. Calculate z(d(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 29, -2\/9, 8, 3.2, -14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/5 - 3303*y\/5 - 4634 = 0.\nAnswer: -7, 3310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 0 + 9 + 5*b - 6*b**2 - 1. Let g(u) = 30801*u + 246405. Let q be g(-8). Let k(d) = -2*d**2 + 2*d + 3. What is q*z(f) + 8*k(f)?\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*((o**14\/o)\/o)\/o)\/o))**(-3\/40)*o**(4\/7)*o**(1\/11) assuming o is positive.\nAnswer: o**(435\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 565451, 565457, 565465, 565475, 565487, 565501, 565517?\n\"Answer: p**2 + 3*p + 565447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 - 2*p + 21. What is the hundreds digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6460 and 304?\nAnswer: 25840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 32*d = -846. Suppose -14 - 4 = r. Does r = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3409 = -v, -5*d + 5689 = -0*v + 2*v. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 9*x**2 + 1. Let h be g(-9). Solve 4*z = -3 - h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -6*n**2 + 5*n - 3*n + n**2 - n**3 + 4*n**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/7 + -1 + 67\/(-9) and -131\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s**3 - 4*s**4 + 14*s**4 - 2*s**2 + s - 8*s**4 to the form p*s**2 + u*s**3 + x*s + h + g*s**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 247, 553, 949, 1417, 1939, 2497?\nAnswer: 3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -10*t**5 - 484*t**4 + 798*t**3 - 104*t**2 - 200*t = 0.\nAnswer: -50, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2130465 + -215?\nAnswer: 2130250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 0.4, 2, 962 in increasing order.\nAnswer: 0.01, 0.4, 2, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54899731.\nAnswer: 54899731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*q - 4*g, g + 4 = -g. Let b be (-3)\/(-6)*(0 - 2 - q). Solve 5*o + l - 5*l = -8, -4*o + b*l = 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 129. Let c = -69 + x. Let f = c - -25.99999912. What is f rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 578*t**6\/15 - 102*t**5 + 157*t**4\/3 + 40*t**3 + 8*t**2 + 2180*t. Determine w so that h(w) = 0.\nAnswer: -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -944379, -1888760, -2833141, -3777522, -4721903?\nAnswer: -5666284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5742, -4946, -4150, -3354, -2558, -1762?\n\"Answer: 796*i - 6538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, and 1 u when three letters picked without replacement from {m: 3, u: 10, q: 1, d: 4}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 - 9*z**3 - 9*z**3)*(z + 3*z - 3*z) + (-2*z**2 + 5*z - 5*z)*(-2*z**2 + z - z).\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -38. Let q = m + -16. Let p = 1438 + -1441. What is the nearest to 0 in p, q, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49162 is divided by 165?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8090, -64680, -218278, -517388, -1010514, -1746160, -2772830?\nAnswer: -4139028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4976649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -643 + 6441. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 7*g**2 - 20*g + 20. Let s = 243 - 234. Let m be q(s). Factor -2\/3 + 3\/2*d + 1\/6*d**3 - d**m.\nAnswer: (d - 4)*(d - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14002*q**2 + 138067*q**2 + 18742*q**2.\nAnswer: 142807*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddkdddkddkd. Give prob of picking 2 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5 + 6580*p**4 - 677492*p**3 - 2782244*p**2 - 3505712*p - 1407536 = 0. What is p?\nAnswer: -1742, -2, -1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n**5\/n))*n*n*n**(-22)*n)**28 assuming n is positive.\nAnswer: n**(-448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13052*c - 1225. Let o(m) = 8158*m - 766. Let f(y) = -12*j(y) + 19*o(y). What is the first derivative of f(d) wrt d?\nAnswer: -1622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/13 - 1158*o**4\/13 - 223486*o**3\/13 - 14373482*o**2\/13 + 893976*o\/13 + 57512456\/13 = 0.\nAnswer: -193, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 + 22333012223?\nAnswer: 22333013003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 110 = -5*b + b, s - b - 37 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2101111001100 (base 3) to base 2\nAnswer: 100110101110111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5885*i**3*w + 444*i**3 + 3*i**2 - 2 wrt w.\nAnswer: -5885*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2280 divided by 5?\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 20381686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 4. Let g be q(4). Suppose -4*n = 4*s - 16, g = -n - s - s + 4. What is the lowest common multiple of n and (3 - 2) + 5*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and -0.545.\nAnswer: -1.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a - 13\/2 + 1\/2*a**2.\nAnswer: (a - 13)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 659 by -1394772.\nAnswer: -659\/1394772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + (1 - 1)) - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -14. Suppose p*l - 4 = -0. List the prime factors of 16\/l*22\/11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93120 - -53253244.\nAnswer: 53160124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91869473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 54, 56, 60, 66, 74, 84, 96?\n\"Answer: j**2 - j + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(117)).\nAnswer: 2 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657 - 593 = -25*c. Calculate the highest common factor of c and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 15 = 48 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -330184 divided by -5\nAnswer: 330184\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -907 by 76.\nAnswer: -907\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**2\/2 + l - 245. Let i be 2\/(24\/10 + -2). Let o(p) = 3*p - 1. Calculate i*k(s) + 3*o(s).\nAnswer: 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406*u + 18100 - 74340 = 0 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4071*o**3 + 7*o**2 + 8*o - 2. What is v(1)?\nAnswer: 4084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 2*n - 3. Let r(q) = q**2 + q + 2. Determine 5*r(y) + 4*t(y).\nAnswer: y**2 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7*j + 4 = 0. Let h be 156\/(-24) - j\/2. Let p(y) = -y**3 - 6*y**2 + 6*y + 5. What is the lowest common multiple of 18 and p(h)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -4 (c) -0.124 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4679443*u - 6886591.\nAnswer: 4679443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/(-28))\/(50\/(-35)). What is the second smallest value in 0, 72, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 3*y. Let f be l(-3). Let o be (1\/(-6))\/(4\/(-12) - f). Which is the second smallest value? (a) 2 (b) -1 (c) 1\/4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 16. Let k be 90\/(-25)*(-5)\/3. Let d(t) = z*t**2 + 0*t**2 + 0*t**2 - k*t**2. Let r(p) = 6*p. What is d(r(u))?\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-704)\/(-33)*(-210)\/(-40) and 64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 208*a - 203*a - 9 = 0, 4*z - a = 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10665\/(-11060) + (3 - 2)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgffgfhfggefe. What is prob of picking 1 f and 1 e?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 766*k - 761*k + p - 716 = 0, 0 = 5*k - 2*p - 728. What is the remainder when 1011 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*x + 4*n = 36, x - 20 = -4*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3813204)\/74371 - 16\/22.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (243\/324)\/((-3)\/1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -44, 5, -2752, 9 in increasing order.\nAnswer: -2752, -44, -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -99, 0.3 in ascending order.\nAnswer: -99, -5, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21811249 and 2892157?\nAnswer: 10441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 49*j - 460. Let k(x) = 2*x**3 - 2*x**2 - 5*x + 1. Determine k(j).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -25. Which is smaller: g or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6231 + 3?\nAnswer: 6234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**2\/2 + 97629*j\/2 - 4160070 = 0.\nAnswer: -32628, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:37 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 56\/181 (b) 0.07 (c) -1 (d) 14\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1957*d**3 - 462*d**2 - 5342870*d wrt d.\nAnswer: 11742*d - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 + 0 = -2*h, 3*h = 9. Suppose 2*n + 2*y = -3*n + 5, -3*y = 15. Suppose 591 = 5*b - n*c + q*c, -5*c = b - 123. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-54)\/8)\/(22\/(-528)). What is the greatest common factor of u and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1)\/10*-22\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13713870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703695603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4988, -9952, -14904, -19838, -24748, -29628, -34472, -39274?\nAnswer: -44028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -373 times -0.007\nAnswer: 2.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - y - 5*y**2 - 7 + 3*y + 3*y**3. Let n be g(5). Suppose -1 = n*c - 10. Solve -o = c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40279320 rounded to the nearest 100000?\nAnswer: -40300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3))\/(20\/(-80))*429\/208*-4.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7290643603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let s(b) = -8 + 2*b**2 - 9*b - 4*b**n + b**2. Is s(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 64 (c) -2\/25 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 - ((-48 - -19) + (36 - 1))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -22, 3, 0.5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*m**2 - 1917*m**2 - 2602*m**2 to w*m**2 + n*m + j and give w.\nAnswer: -4456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212 by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 a, and 1 w when four letters picked without replacement from {a: 3, k: 7, w: 3}.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2982, 5956, 8912, 11844, 14746, 17612?\n\"Answer: -u**3 - 3*u**2 + 2990*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*v - 120 = 192 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 59.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3622 + -1524. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1744 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1441, 5808, 13097, 23314, 36465, 52556?\nAnswer: 71593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*o - 0. Which is the second biggest value? (a) 2 (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 952.267673 + -968.6412. Let u = z + -10.5263208. Let n = u + 26.9. Round n to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/7 - 2*(0 + -1). Solve 0*k + 0 + 7\/4*k**y + 1\/2*k**2 - 9\/4*k**3 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 186. Let y be m(0). Suppose 5*h + a - y = 2*a, -2*h - 4*a + 70 = 0. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 2275858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42443010 is divided by 42442992?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + z + 40*z**3 - 41*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**3\/3 + u**2 - 6*u - 53. Let b(m) = 2*m**2 - 43*m + 235. Let q be b(11). Give r(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114750 and 0.5.\nAnswer: 57375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10301.4 + 25773.8?\nAnswer: 36075.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84267 is divided by 2091?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.624, -0.3, 6, 4, 0.1, 31 in descending order.\nAnswer: 31, 6, 4, 0.624, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - (-7 + 4 + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*d - 5*d - 3575, 0 = -4*d - 4. Let k be b\/(-9) - 4\/(-6). What is the highest common divisor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x. Let o = 116 - 110. Let l(z) = 8*z**2 + 3*z + 3. Let n(w) = 280*w**2 + 104*w + 104. Let p(v) = o*n(v) - 208*l(v). Calculate h(p(g)).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76 - -81. Suppose -n + 100 = r*g, -n + 0 + 5 = 0. Calculate the highest common factor of g and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eawqaqaqqqweeqaayqq. Give prob of picking 2 w and 1 y.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*y + y**3 + 47*y - 94*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 10*a - 10 = -2*g, 2*g + 5*a + 17 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -5*a - 5*j + 154, 4*a - 2*j - 386 = 0. Suppose 4*b - 409 = -a. Let n be b\/9*(-21)\/(-2). What is the highest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1413*a - 137. Let j(k) = 2*k - 27. Give 5*j(o) - y(o).\nAnswer: 1423*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.824 - -173964614.\nAnswer: 173964618.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/18*2)\/((-4585)\/210 + 22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14352 and 2392.\nAnswer: 14352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25113 = 234*d - 1864 - 2423 for d.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 4747503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**5 - z**4 + z**3 + z + 1. Let d(g) = 12*g**5 - 5*g**4 + 5*g**3 + 13*g + 5. Let r(l) = -d(l) + 5*j(l). What is the second derivative of r(b) wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/5, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + 3. Let s be c(2). Let m be 100\/s*(-12)\/2. Let a = 29 + -24. Solve 4*u + d = -d + 10, 0 = a*u - 3*d - m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51866 is divided by 6482.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-one halves of a kilometer?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200, -704, -1560, -2786, -4400?\nAnswer: -6420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1471 = 5*j, -4*o = 4*j - 1330 + 158. Let h = j - 197. Let w = h - 68. What is the highest common factor of w and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/3 - 12*p + 108 = 0. What is p?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 7*c + 4 = 60 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33728131369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 10*b**2 - 11*b + 4. Calculate p(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 4. Let v be q(0). Suppose -5*z = 5*s + 15, 3*z - 11 = -5*s - 16. Let x be (1*(-3 - z - 5))\/(-3). Solve -5*u + v = -x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -509*b**3 + 14169*b?\nAnswer: -3054*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5000005 + -2.5. Round y to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/12978 and 37\/2163.\nAnswer: 12978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-229 + 26 - 84)*(-164 + 36*d + 164)*(1 + 1 - 3) as s + h*d and give h.\nAnswer: 10332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27578136+103\nAnswer: 27578239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57761.\nAnswer: 11, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 214*w**3 + 37*w**2 - 37*w**2.\nAnswer: 214*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(2736))**2*-6.\nAnswer: 1152*sqrt(19) + 65760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-446)\/(-5575) + (-7 - (-1398)\/150)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6481384 to the nearest integer?\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142602 is divided by 1333.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d. Let k(m) = -m**2 - 65*m - 351. Let z be k(-6). Let b(h) be the first derivative of 8 + 0*h + 0*h**2 + 8\/3*h**z. Give y(b(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*g**3 + 28 + g - 2 - 6 - 12 as x*g**2 + r + z*g**3 + n*g and give z.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {e: 4, w: 1, o: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*c - 90*c = -10. Suppose c*u - v = 381, -2 = -v + 3*v. Is 76 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-31)\/930)\/(5\/(-4)). Let n(m) be the third derivative of -1\/300*m**6 + 0*m**4 + g*m**5 + 14*m**2 + 0*m**3 + 0 + 0*m. What is s in n(s) = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (10 + 2)) + 13 - (2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456, 740, 1024, 1308, 1592?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-4))\/(16\/3072)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 4*f + 1. What is u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, -0.3, -9\/16, -12\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/47 + 193\/235. Calculate the common denominator of w and -51\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203.9 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2563851.6 months?\nAnswer: 21365.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86 and 2?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2344 and 746?\nAnswer: 874312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4673496 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-20))\/(-3)*5.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -2, 3, 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161976850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9544.9 - -9545. Is k bigger than -296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1088576652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*c**3 + 347*c**3 - 3251*c + 3251*c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, -7, -1.5979 in descending order.\nAnswer: 0, -1.5979, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, i: 6, a: 9}. Give prob of picking 3 a.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 8*p**2 + 10*p - 3. Suppose 12*r - 35 = 7*r. Is 5 a factor of s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10758606640 rounded to the nearest one million?\nAnswer: 10759000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131210181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**3\/2 - 5*y**2\/2 - y. Let f(n) = -13*n - 20. Give 2*f(b) - 9*g(b).\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2*42528299\nAnswer: -85056598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/6)\/((-12)\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118835 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*b = -233*b + 21. What is the third biggest value in b, 0.3, 0.4, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3210696 plus 3?\nAnswer: 3210699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 2 - -38*(0 + 1). Does 22 divide 1690\/u - (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)*(0 + (8 - 8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + (-408 + 385 - (2 + -23))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56573 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 115*y + 115*y + 0*y**2 in the form x*y**2 + o + w*y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -16*u - 941. Let p(x) = 35*x + 1885. Determine -13*o(c) - 6*p(c).\nAnswer: -2*c + 923","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from mmmmmmmmuvvmvuuv.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*a - 14, 0 = -3*f + 4*f + 4*a - 7. Let m(g) = 3*g + 8 - 4*g - 1 + 0. Let s be m(f). Let t(q) = q**2 - 5*q - 1. Give t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-10))\/(-10 - 485\/(-50)). Solve -5*d + 1 = o, -5*d = 5*b + 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:30 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 276614 - 1.5.\nAnswer: 276612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 - -6.58. Let v = -7 + b. Let x = v - -0.42. Round x to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:00 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 1744 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 20*m + 23. Let w be j(-19). Which is the biggest value? (a) 0 (b) 1\/2 (c) w (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24458*q - 56*q**2 - 24458*q.\nAnswer: -56*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 272*p**3 + 54*p**2 + p - 12492. Let l(m) = -136*m**3 - 24*m**2 - m + 6246. Let s(n) = -9*l(n) - 4*x(n). Differentiate s(z) wrt z.\nAnswer: 408*z**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 4*n**2 + 1284*n - 3888 = 0.\nAnswer: -324, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -149 (b) -0.5 (c) -5 (d) -4\/5 (e) -0.3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 56*l + 376. Let g be q(-11). Calculate the common denominator of -73\/15 and (-2)\/15 + (-10)\/g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465666\/11 + -42576. Is -244 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37504 is divided by 3750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(4 - 171\/42). Solve u*q - q - 18 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 3*c - 3*c + (-3 + 1 - 2)*(-c - c + c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 + 2.4. Put 10, -4, s, 0.3 in decreasing order.\nAnswer: 10, s, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o\/o**(6\/5))))\/o)**47*o\/o**(-24)*o**(-5)*o assuming o is positive.\nAnswer: o**(-177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:05 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 1805?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by -2?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + 282*i + 346. Determine h(-56).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -281*i**2*q - 245*i**2*r + 13*i*q*r + 5*i*q - 564*i*r - 3*q*r wrt i?\nAnswer: -562*q - 490*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(0 + 18\/15). Let a be 3\/b - 7\/(-2). Factor 2*y**2 + y**a + 0*y - 2 - y + 0.\nAnswer: (y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b - 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.0117 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 36*a**2 + 3734*a - 1095. Calculate g(-104).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -7*s**5\/60 - s**4\/2 - 92*s**2. Factor o(j).\nAnswer: -j*(7*j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3406 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1027661 (base 8) to base 9\nAnswer: -457306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 10*h - 254000. What is h rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*n + 482 + 23*n - 620 as r + d*n and give r.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-28)*126\/108?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/8)\/(((-6)\/8)\/3). Put -2\/3, -72, f, -1 in decreasing order.\nAnswer: -2\/3, -1, f, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -314 (b) 0.06 (c) 2 (d) 0.2 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -216, -924, -2110, -3780, -5940, -8596?\n\"Answer: -a**3 - 233*a**2 - 2*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l)**(-16)*l**(1\/2)*l*l**(-1) assuming l is positive.\nAnswer: l**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/26, 4, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 8*k**2 + 4*k + 133. Let s = 142 - 120. Is q(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -2\/23 (c) -1\/6 (d) 17 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -301766706 greater than -301766703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -3*b - 9\/40*b**6 + 17\/24*b**3 + 0 + 1\/4*b**2 + 27\/80*b**5 + 15\/16*b**4. Suppose z(h) = 0. What is h?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35972 and 23851.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**6\/20 + 6*h**5\/5 + 59*h**4\/8 + 11*h**3 + 13*h + 28. Suppose l(x) = 0. Calculate x.\nAnswer: -11, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.7, -4, 194\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -26700458347754.\nAnswer: -26700458347754.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10 = 3*k + 3*j, k = 4*j - 8. Suppose 2*l + 56 - 6 = k. What are the prime factors of l\/(-10)*68\/5?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*w = 36, -2333*y - 62 + 8 = -2328*y + 3*w for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55073578477 + 3.\nAnswer: 55073578480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from {k: 2, j: 7, d: 6}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2) + 63\/6. Let h = n + -5. Suppose 15 + h = 5*w. Solve 0 = w*t - 0 + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 532397189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 - 20. Let d = 25 - 97. Let i be ((-6)\/8)\/(2\/d). What is the greatest common divisor of i and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24441200 a multiple of 1505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.109 less than or equal to -4788128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 70, 186, 350, 562, 822, 1130?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/2625960 and 38\/853437.\nAnswer: 34137480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3 - 1 - 7 + 3*n - n. Let t be w(6). Suppose -4*c = -3*k - t + 5, 2*k = 2*c + 4. Solve -c*d + 6 = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -136?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 11*f - 4. Let b = 2134 - 2145. Give z(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431871505 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 84.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 22. Let g be t(0). Let a be (15\/(-9))\/(2\/(-66)). What is the highest common divisor of g and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -7. Let f = 8 + -9. Put g, f, 4 in increasing order.\nAnswer: g, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*u + 5*u - 213, -4*f - 61 = -u. Let d be (-9)\/u + 26\/5. Suppose -4*l = -16 + 4. Solve -9 = -0*x - l*x + d*r, 15 = 5*x + 4*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ab (base 13) to base 14.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - m**2 + m. Let c(r) = 5*r**3 + 32*r**2 - 3*r. Let o(j) = c(j) + 3*u(j). Find the third derivative of o(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215021 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -123 + 126. Suppose 0 = -2*v, -w = -b*w - 2*v + 6. What is the highest common divisor of w and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 63*h - 1. Let y be v(1). Suppose -4*u + 81 = -3*r, 0 = 3*u - r - r - y. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -55. Suppose -4*c + 3*c = 4, -z + 4*c - 14799984 = x. Round z to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 - -89. Suppose -z - 134 = -11*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -65. Let t(k) = k + 1. Suppose 35 - 30 = h. Let b(i) = i + 2. Determine g*b(m) + h*t(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -0.05025812635.\nAnswer: -2.05025812635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 14550*x - 3735648 = 0. Calculate x.\nAnswer: 272, 4578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(245) + 3*sqrt(245) + 4 + sqrt(245))**2 - (4 + (6*(sqrt(5) + -1))**2)).\nAnswer: 352*sqrt(5) + 5920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 13. Let u be ((-102)\/1105)\/(6\/(-356)). Let d = 66\/13 - u. Which is the third biggest value? (a) d (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-1)*(-7)\/(-42)*3\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 315471.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.204 * 1688.\nAnswer: 344.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-132) - 208\/1144.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(13 - 96\/8)*(-4)\/78\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7736 + 7746. Suppose 0 = w - 3*i - 9, 5*w + 2*i - 22 = w. Calculate the highest common factor of w and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.26 or -326?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*j**3 - j**3 + 3*j**3)*(-226 - 347 + 808) + (-1 + 1 - 2*j)*(2*j**2 - 2*j**2 - 4*j**2) as d*j**3 + r + z*j + w*j**2 and give d.\nAnswer: -932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*d - 0*f - f, 3*d - 4*f = 16. Suppose 216 = d*y - 4*y. Let k = -31 + y. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (30 - 32) - (13 - -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*k + 236*k + 106 - 106.\nAnswer: 361*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**3 + z**2 + 10*z + 2. Let g(l) = 10*l**3 + 2*l**2 + 21*l + 3. Calculate -4*g(b) + 7*y(b).\nAnswer: 2*b**3 - b**2 - 14*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*p + 18 = 0, b = -656*p - 656*p + 1314*p - 9 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -3\/2 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (10 + (4 - -8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 + 6970*f**2 - 13975*f - 20940 = 0 for f.\nAnswer: -1396, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/15 - 26\/(-10). Suppose -3*g = 2*f - 7, 5*f + 5 + 10 = -g. Suppose 5*m + g*t = 20, t - 3*t + 6 = 0. Solve h*b - 13 + m = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5199465 + 6?\nAnswer: 519946b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from wwwppuppp?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 380?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 1)\/(-2) + 5. Suppose 0 = m*l - 3*l + 6. List the prime factors of (-4 - -13)\/(l\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/3 - 761104*b\/3 - 761102\/3 = 0?\nAnswer: -380551, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110693 is divided by 1004?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a3505 (base 11) in base 9?\nAnswer: -2633456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24604, -24603, -24602, -24601?\n\"Answer: k - 24605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 - 1 + 9000*f + 8998*f - 556*f**3 - 17998*f in the form l*f + b*f**2 + m + i*f**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/7220335 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 64\/27*a**3 + 2\/9*a**5 + 26\/27*a**4 - 2*a**2 + 7\/270*a**6 + 1\/945*a**7 - 8*a + 0. Factor j(g).\nAnswer: 2*(g + 2)**3*(g + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 677 + 4240. Is 4916 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9270 (base 10) to base 5\nAnswer: -244040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 10*p = -299, -2*y + 383 = -114*p + 101*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i**3 - 38*i**2 - 91*i - 5. Let o(q) = -5*q**3 - 20*q**2 - 46*q - 2. Let d(b) = 5*o(b) - 2*v(b). Factor d(j).\nAnswer: -3*j*(j + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:38 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166299514385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/24 - 925\/(-150). Suppose -b = 2*b - 5*w - 34, -b = w + 2. Solve 5*v - 1 + g = b*y, -5*v = y + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 14) to base 8\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1802428682?\nAnswer: 2, 2477, 363833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joso when four letters picked without replacement from ssosojsjsjoooooo.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 5022.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-224)\/(-3))\/(-4)*(-279)\/62)\/(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 90. Suppose -4*o + 82 = 2*k + 16, 0 = -3*o - 4*k + v. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708723*d**2 - 2126159*d**2 + 708718*d**2 + 708718*d**2 - 3*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 156 - -6?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 y when three letters picked without replacement from {y: 9, c: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 15 = 2*x, 3*z - x + 3*x = -9. Let r be (-1 + -2)\/(z\/(-2)). Let i be 6*2*(2 - (-3)\/r). Solve w = 4 - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000116506674 to six decimal places.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 545b1?\nAnswer: 545b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**5 - 57*u**4 + 324*u**3 - 348*u**2 - 1344*u + 2304 = 0.\nAnswer: -2, 2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5349 + -0.0359. Let s = -0.6 + v. Round s to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31440224314 - 3?\nAnswer: -31440224322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {f: 1, h: 1, t: 1, r: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1536008 by -3.\nAnswer: -1536008\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9389 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 12*w + 10*w + 3*w - 5, 0 = 4*w + 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4529, -4550, -4571, -4592, -4613?\n\"Answer: -21*j - 4508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = -4*a + 2*c + 151, a = -9*c + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 11 = 5*n, 4*i - 28 = 2*n - i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2192.746*-0.1\nAnswer: -219.2746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 673, 2734, 6169, 10978, 17161?\n\"Answer: 687*q**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39213154 less than 4752?\nAnswer: -39208402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 + 18 = 0. Let m(u) = u + 2. Let d be m(z). Let l(y) = -6*y + 2. Let f(v) = -4*v + 1. Let x = -3 + -2. Give d*f(a) + x*l(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.275 - -0.325. What is the third biggest value in 0, 5, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -15.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by -27 + 27 + (0 - -42)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 0.4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -627 divided by 9?\nAnswer: -209\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -92. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u + 40 = 97. Solve u*v - 3*w + 8 = -w, 0 = 5*v + 3*w + 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2. Let p(b) = 7001 - 6970 + 2*b**2 - 3*b + 3*b + 2*b**2. Give p(a(g)).\nAnswer: 36*g**4 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 4*s - 4*s)*(-2277 - 1109 - 4658 - 3431 - 1500) as w + c*s and give c.\nAnswer: -12975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 28*x - 616. Calculate q(23).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -36*p**2 + 11*p - 155. Let a(u) = -17*u**2 + 5*u - 74. Give 13*a(d) - 6*n(d).\nAnswer: -5*d**2 - d - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 219*y + 9 - 317*y - 7 as g + d*y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18 + 0 - (4 - 3). Suppose -y = u - 21. Suppose n = -n + y. Calculate the remainder when 6 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-76)\/(-38))\/(0 + 2)*4. Find f, given that 24*f + 28\/3*f**3 + 27*f**2 + 16\/3 + f**t = 0.\nAnswer: -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-5 - (93\/(-92) - 4)). Let m = 922 + a. Solve -m*s + 3*c = 7, -5*s - 3*c - 9 - 19 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 6, 12, 20, 30, 42, 56?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2563*t + 1735 - 114507 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-20) - 1) + (-28)\/(-5). What is the closest to 1 in m, 3\/8, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 4\/3*k**3 - 8 + 10*k - 6*k**2. Let l be u(8). Calculate the highest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 34 = -3*g, -7*g + 3*g + p + 39 = 0. Let l = -7 + g. Find the first derivative of 2 - 2 + l - 2*y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597452.2 years to millennia.\nAnswer: 597.4522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/z)\/z*((z*(z*z**(4\/5)*z)\/z)\/z)\/z assuming z is positive.\nAnswer: z**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1042 - 298 = -10*o. List the prime factors of o.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3662 and 57.\nAnswer: 208734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 8*z - 14. Suppose -2*p = -4, 4*x + 4*p = z*x + 518. Let q = -94 + x. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g - 9117 + 1392 = -g. Solve g*q - 508*q - 28 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 8:59 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651000 rounded to the nearest 100000?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:06 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4659245777 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64557973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 5*r + 5*r)*(4 + 1 - 2) - 2 - 12 + 123 + 2*r + (-3 - 2 + 3)*(4*r - 5*r - r) - r + 2*r + r + 1 - 2*r - 1.\nAnswer: 12*r + 109","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37673377 by -5.\nAnswer: -37673377\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173218153?\nAnswer: 41, 173, 24421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-2))\/(13\/(-416)). Let c = 25 + w. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a hour in minutes?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85182 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 544467 divided by -16499\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0655 + 26.3655. Let h = 23.3 - y. Put 5, h, 0.6, -5 in descending order.\nAnswer: 5, 0.6, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 1. Suppose 0 = -14*u - 71 + 1. Which is the third smallest value? (a) g (b) u (c) -0.2 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -151661\nAnswer: -454983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 5*o**2 - 9*o - 5. Let a be -1 + 3 + 8\/(-1). Let f be d(a). Calculate the greatest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-22))\/((-27070)\/(-59554))*(-152)\/(-14)\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*a + 28*a - 3*v + 6, 11 = 2*a + v. Solve l = 3*u - 3 + 15, -18 = -a*l + 3*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 2*j = -9*g, 5*g + 5*j + 5 = 0. Which is the third biggest value? (a) -1 (b) -0.2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -7. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1292841 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935207813 to the power of 1\/2, to the nearest integer?\nAnswer: 43991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 59824.27ns?\nAnswer: 0.05982427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28.1 and -1258.2.\nAnswer: 35355.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 402*x + 6716. What is m(-15)?\nAnswer: 911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 29. Suppose 5*w - o*w = 0. Suppose 4*q - 64 = -w*q - p, 5*q + 3*p = 80. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 32*i - 10. Let w be v(-3). Let o be -2*(-4)\/16*-6 - w. Let s = 34 + o. What is the remainder when s is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -277*b + 31*b - 79*b + 3. Let v be n(-7). Suppose 17*d - 15*d - v = 0. What is d rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1254 divided by -11.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*h**2 + 170 - 170.\nAnswer: -787*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 341049096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20580 in 4\/3, 3.8, -18, -5?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1220*u + 108*u**2 - 20*u**3 + 364*u**2 - 1500 + 553*u**2.\nAnswer: -5*(u - 50)*(u - 2)*(4*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62591 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/68)\/(-3) + 12\/(-204)*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/9425 - (-20832)\/(-3480).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from immmccrpciiiirr. Give prob of picking 1 r and 1 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -726 + 106. Let s(f) = f**3 + 2*f + 110. Let a be s(0). Let y = m - a. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 5*m, -2*m - 3 = -2*w + 7. Find f such that 2\/5*f + m + 2\/5*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 3 + 2*q + 3*q**3 - 5*q**3 - q**2 + 1. Let m be c(-1). Solve -v = -m + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19491120 is divided by 3695.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (27\/30)\/(42\/161) and 137\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1214*l**3 + 1798*l**3 - 582*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1076 times 2.2\nAnswer: 2367.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -396*z**2 - 24952*z + 12. Determine p(-63).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1072976.99987 + -1072992. Let z = w + 15. What is z rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(510)\/(sqrt(10) - (sqrt(10) + (sqrt(10) - sqrt(90)) + sqrt(10))))\/(2*1*sqrt(3))*-4.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 268 - 3215\/12. Let d(b) be the third derivative of 0*b**5 - 1\/60*b**6 + 0*b + y*b**4 - 3*b**2 + 0 + 0*b**3. Find the second derivative of d(m) wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -309708 - -778975. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29562*h**3 - 14780*h**3 + 87*h - 14780*h**3 to the form o*h**2 + a*h**3 + d + n*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.905, -27, -0.3, -5?\nAnswer: -0.905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -33. What is the highest common factor of 70 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmpmmmmmmmm. Give prob of picking 1 p and 3 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 89 = 12*n. Let p = -84 + n. Solve -l = -0*l + p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1454 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 + s**4)*(-4 + 1 + 1) + 4*s**4 - 3*s**3 + 3*s**3.\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -473442 (base 13) to base 4.\nAnswer: -12131030010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q + 21*q + q + 33*q + 2 to the form l + u*q and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/243)\/((-140)\/(-210)*10\/(30\/(-6))).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k**3 + 2*k**2*o - 336*k**2 + 245*k*o + 2*k - o - 9 wrt k?\nAnswer: -30*k + 4*o - 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2944 or -2935?\nAnswer: -2944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h, 5*h - 1301 - 215 = 4*i. Let t = i + 665. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/1501, 44, 0.1, -4, -4\/5 in ascending order.\nAnswer: -4, -4\/5, 3\/1501, 0.1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w + 5*j = 55, 0 = -j - 4. Let z(f) = -f - 11. Let o be z(w). What is the highest common factor of o and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -19 (c) 1 (d) -33 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*y - 68 = -154, -4*y = 5*u - 448. What is the smallest common multiple of (-72)\/(-5) - 4\/10 and u?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 36. Let x = 22 - t. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 1:37 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 1280?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 1339098791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5513 - 12101?\nAnswer: -22014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 5:44 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(36\/(-9)) - 9. Suppose o = -44*b + 363 + 825. Solve 4*m + 18 = c, -c - b = 4*m + m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 1225375?\nAnswer: -1225368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g + 164 - 164 - 6*g + 5*g.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 168 + 722 - 71 = -8*h for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywwywwwyyqywyyyyy. What is prob of sequence wqww?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184958413 to the nearest integer?\nAnswer: 13600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1666075*x**3 + 4*x - 4*x + 1666067*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 1.4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 0*z**2 - 20\/3*z**3 + 0*z**6 + 0*z**5 + 0*z**4 + 5 + 0*z + 13\/7*z**7. What is the third derivative of m(w) wrt w?\nAnswer: 1560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16313699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**5\/4 + 193*t**4\/4 + 2455*t**3\/4 - 3325*t**2\/4 - 14875*t - 9375 = 0.\nAnswer: -10, -5, -2\/3, 5, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70307300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 220 + 1251 + y.\nAnswer: y + 1031","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -180, 204, 48 in decreasing order.\nAnswer: 204, 48, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 712.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 115.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154714*a - 12430 = 154827*a for a.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133020.\nAnswer: 2, 5, 7, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from cayyccnxycyyk.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -t - 12, 3*d + 2*t - 2 + 6 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17570610 rounded to the nearest 100000?\nAnswer: 17600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**3 + 5*u**2 - 3*u + 4. Let p(z) = -34*z**3 + 14*z**2 - 8*z + 11. What is -11*c(o) + 4*p(o)?\nAnswer: -15*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 0. Let z = -0.0065 + -199.9935. Let j = -204 - z. What is the closest to 1 in -3, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-255)\/220 + (-5)\/55. Put 0, -8\/9, 0.4, l, -0.4 in descending order.\nAnswer: 0.4, 0, -0.4, -8\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1788.\nAnswer: 1\/894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -8. Let r = -11 - s. Sort -2, r, 4 in increasing order.\nAnswer: r, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/7))**1*a**(2\/13)*a\/(a**(-5)*a*a*a*a)*((a**1)**(5\/8))**23 assuming a is positive.\nAnswer: a**(12553\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7 + h**2 - 5 - 1 - 5*h. Let n be d(2). Sort n, 5, 4 in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/43, -5\/3, 0, 4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3996 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + (-2*sqrt(2736) + 4 - sqrt(2736)))*1*2.\nAnswer: -72*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1529087*l**4 + 16*l - 393202675 wrt l.\nAnswer: -6116348*l**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*-2*sqrt(343) - sqrt(343))*5)**2*-1 + 1.\nAnswer: -857499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {o: 4, l: 2, q: 1, f: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1886 and -34418.8838554.\nAnswer: -36304.8838554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:01 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17860, 17738, 17402, 16744, 15656, 14030?\nAnswer: 11758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9107, -9425, -9743?\nAnswer: -10061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, 5, 250, -5, 7 in ascending order.\nAnswer: -5, -4, 5, 7, 11, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -52. Let z = r + 28. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/(-4 + (-2472481)\/(-618123)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q + 7. Let u be j(5). Let w be (-3)\/6*(u - -2). Differentiate k**2 + w - 4*k**2 + 2*k**2 wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27843 is divided by 234?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -9178.248.\nAnswer: -9164.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 81636 divided by 6?\nAnswer: 13606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345 divided by 12371.\nAnswer: 345\/12371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16566136 + -11?\nAnswer: 16566125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/25)\/(2\/5). Suppose 0 = -4*x - t - t + 14, -2*x = 5*t - 11. Solve 4*f - 20 = 0, x*s = s - i*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(3*(-2*sqrt(17) + sqrt(17)) - (-3 + sqrt(153) + sqrt(17)))*5 + 0 + -4 + -2)**2.\nAnswer: -23100*sqrt(17) + 524981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28032222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3407*h**3 - 1184*h**3 - 1183*h**3 - 3 + 3 - 2*h**3 + (-3 + h + 3)*(-h**2 + 4*h**2 - 2*h**2) to i*h + k + j*h**3 + c*h**2 and give j.\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.17 != -41810\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, y: 3, p: 2, t: 8}. Give prob of picking 2 j.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -793*l**5*s - 2252*l**4*s + 21645*l**2*s + 90*s wrt l?\nAnswer: -47580*l**2*s - 54048*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/178061 or 1?\nAnswer: 18\/178061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/756 and -11\/202608?\nAnswer: 202608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*b**3 - 14*b**3 + 82*b**3)*(4*b + 6*b - 2*b + (1 + 5 - 5)*(-5 + 5 - b) + 2 - 2 + 2*b + 2 - 2*b - 2 - b + 2*b + 0*b).\nAnswer: 432*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1092\/234)\/(-2 - (-8)\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198\/7 or -27?\nAnswer: -198\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*p - 17956 = -148576. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226703557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137.0000109 - 137. What is c rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 - 2*a - 3. Let h(k) = -25*k**2 + 12*k**2 + 12*k**2 - 1. Suppose 4*j + 9 = n, -4*n + 16 = 3*j - 1. Determine j*t(d) + 5*h(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 + -11 - -5) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 307871.95\nAnswer: 92361.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*x - 233*x - 534 = 0. Which is greater: x or 269\/37?\nAnswer: 269\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1263 - 7?\nAnswer: -1271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481137 is divided by 70528.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -15*i**2. Let c(v) be the first derivative of v**2\/2 - 19. Calculate a(c(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -7 + 1. Suppose 0*p - m = -2*p - a, p + a = 4. What are the prime factors of p\/2 - (-1 + -10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*237*(-3)\/(-18). Suppose -5*o + g = p, -3*p + o = p - 358. List the prime factors of p.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 3:12 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72561776 by 4.\nAnswer: 18140444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.08, -8, 0.4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.21 * 0.55.\nAnswer: 32.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.0816 + -1.11. What is x rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 19. Let a(z) = -7*z - 4. Let c be a(-7). Let s be (-2)\/u - 21\/c. Sort 5, -0.3, s in descending order.\nAnswer: 5, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 3*q**2 + 20*q + 156. Let c be o(8). What is the third biggest value in 0.1, -0.28, c, 2.1?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 2*y + 2*y - 7753 + 7753.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 12*b**2 - b + 17. Let x be h(12). Suppose 0 = -0*r - 2*r + 6. Suppose r*j - j = 8. Solve -j + 24 = x*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)\/((44\/(-66))\/((-60)\/315))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/10))\/u*u*u\/(u**(-2\/15)\/u))\/(u**(-2))**(-22) assuming u is positive.\nAnswer: u**(-247\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-3 + 3 - 1 + (-1 + 5 - 3)*(-3 + 0 + 1))*(-1 - 1 + 3)*(-262*q - 244*q - 15*q).\nAnswer: 1563*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31248 - -0.2\nAnswer: -31247.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 42\/31, 2\/39 in descending order.\nAnswer: 42\/31, 2\/39, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 278365 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*n. Suppose 25 = z - n. Suppose 4*m + 10 - z = -y, -4*y = -m - 43. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/7)\/(51\/238). Let z be -1 - a - 2\/2. Which is bigger: 3 or z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2 and 101\/25490.\nAnswer: 25490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14\/727 - -52903\/8724. Calculate the common denominator of u and 676\/48 + (-8)\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 92 = 46*k - 10, 5*a = 99*k - 98*k - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -2*i**3\/3 - 3*i**2\/2 + 4*i - 722. Let y(v) = v**3 + 7*v**2 + 6*v - 3. Let f be y(-6). Calculate b(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o - 553*o**2 + 663*o**2 + 2 + 6*o - 2*o**3.\nAnswer: -2*o**3 + 110*o**2 - 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-5)*2\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/168 + -1745\/504. Suppose 22 = -2*a + 4*p, a - 3*p + 9 = 2*a. Calculate the common denominator of m and a\/(-3) + (-7)\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) -3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3303 (base 5) to base 3\nAnswer: -121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 342496*b + 1712479. Determine t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614931.\nAnswer: 3, 71, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2861172 and 1938?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.91 - -3.91. What is the nearest to h in -2\/7, -0.05, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58570\/27 >= -2170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/3, 2\/15, 1\/7, 204, -60?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1.2 (b) 11 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3251*f**2 + 3248*f**2 + f**3 + 3*f**3 to the form u + c*f**2 + t*f**3 + s*f and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 27, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28757 greater than -86272\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + -6 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 - 3*x - 3700 - 5*x**2 + 2*x. Let a be z(0). What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2. Let m be -1 - -2 - (-1 + -2 + 1). Let c(h) = -12 - 19*h**2 + 12 - m*h**2. Calculate c(u(i)).\nAnswer: -198*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.102 + 2212495217\nAnswer: 2212495217.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -111, 0.3, -658?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.84 - 10. Let x = v - 0.04. Which is the closest to 1? (a) -0.5 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560684543 is divided by 4916.\nAnswer: 4911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17485*m - 2*m**4 + 7934*m + 8509*m + 33*m**2 wrt m.\nAnswer: -24*m**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - p + 43 = 0, 1 = 213*p - 214*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g - 4*l = 72, -2*g - 4*l = -42. What is the remainder when g is divided by 2 - (0 - 16\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.5, -3, 0.29, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 443264.\nAnswer: 1329792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*g**2 - 1 - 102*g**2 + 661*g**3 + 159*g**3 + 1 to q*g**2 + u*g + h + j*g**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-60)\/25))\/((-20)\/(-9)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose 0 = -0*p + b*p. Suppose 9600000 = -c - p*c. Round c to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*w + 2*w. Let h(p) = -116*p + 57*p + 58*p - 7. Let c(j) = -j - 4. Determine w*c(v) - 3*h(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/16250 and -117\/23000.\nAnswer: 1495000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 45 = -405. Let g = 52 + -28. Let t = g - h. Calculate the greatest common factor of t and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*-2 + ((2*sqrt(162))**2 - sqrt(2)).\nAnswer: -11*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -120 and 556.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 4. Let m be c(7). Let d = m - -7. Let f = d + 7. Solve 0 = -4*g - 3*r - 14, 2*r + 0*r = f*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -435.\nAnswer: -4\/435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10642 = -167*n + 7803 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:11 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2816443779 to the nearest integer?\nAnswer: 53070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962 a factor of 500168736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 28.1. Let v = 0.7 - 0.6. Let s = n + v. What is the smallest value in -0.1, 5, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/33 + (-278)\/(-6). Suppose -2*q = 3*p - 0*p + j, -5*p - 74 = 4*q. Let l = 4 + -23. Are p and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 6*g**2 - g + 7. Let b be i(6). Let a = b + 7. Is (-45)\/(-4) + (-2)\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68174 divided by -2?\nAnswer: 34087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47 and 58.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m + 2*t + 265, -m - 3*t + 70 = 0. Suppose 2*o = o - 5*k + 43, 0 = 3*o + 4*k - m. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) -0.04 (c) -5\/6 (d) -1 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1954.917ml to litres.\nAnswer: 1.954917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 = 9*r - 63. Suppose -232 = -3*h - r. Let c = -33 + h. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.044 + 0.056. Let t = -57\/205 - 5\/41. Which is the third smallest value? (a) n (b) t (c) 3\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w - 2*w + 4*w - 11 + 11 + 6*w + (-9*w + w + 14*w)*(-3 + 1 + 0) as r*w + g and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5 = 5*r, 2*r - 6 = -0. Suppose 8 = -4*v + m, m - 23 = 3*v - 4*m. Sort 5, u, v in descending order.\nAnswer: 5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15827*f**2 + 51*f**3 - 5*f + 3 - 15827*f**2 + (f**2 + 2*f**2 - 5*f**2)*(2 - 2 - 2*f).\nAnswer: 55*f**3 - 5*f + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -135. Suppose -3*t + 269 = -5*w, -3*t + 3*w + 44 = -223. What is the smallest common multiple of t and o?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let p be a(-6). Let h be (100\/p)\/5*-3. Let k(r) = r**3 + 5*r**2 - 1. Let o be k(-4). What is the highest common divisor of h and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 0 + 0)*(2 + 4*u**3 - 2)*(2*u - 3*u + 2*u + (-1 + 3 - 1)*(-4*u + 2*u + 0*u) - 4*u + 4*u - 2*u).\nAnswer: 84*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 241710424 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/17577 and 50\/80197.\nAnswer: 45471699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2229*d - 34. Let l be x(7). Let r = l - 8569. What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559*u + 47712 = -551*u. What are the prime factors of u?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-9))\/((-28)\/252)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 1.314604542867.\nAnswer: -2.685395457133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 8*n + 9. Let o be b(8). Suppose 4*z = o + 7. Is ((-2)\/(-3))\/(z\/150) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7707 divided by -5.\nAnswer: 7707\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*-1 + (28 - 13). Suppose 1 + t = 3*m + 3*a, 2*a = -m - 2. Solve 0 = -40*q + 36*q - m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -21\/2, 0, -1536\/25, 2 in decreasing order.\nAnswer: 2, 0, -3\/5, -21\/2, -1536\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 3923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 6. Let n(h) = -h**2 + 10*h - 5. Let u be n(9). Let d be k(u). Suppose 2*p + 27 = 81. Solve -3*r + 5*i = p, r + 23 = 3*i + d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 333051 + -333041. Let d = -6 - -10. Solve -6*i + d*i - a = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 + 9*r + 10. Let p be c(-5). Suppose -p = 18*q - 475. Solve 16 + 9 = 5*a + 5*f, a - q = -4*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1396*u**2 + 5821*u**2 - 2440*u**2 in the form i + v*u + k*u**2 and give k.\nAnswer: 1985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24712653?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + p**2 - p + 2. Let w be d(-2). Let o = 0.647 - 0.687. Which is the nearest to w? (a) -2 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:28 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3 + sqrt(176))*5)**2 + ((2*sqrt(891))**2 - (sqrt(33)\/(sqrt(192) - sqrt(3)))**2).\nAnswer: -505250\/49 + 1800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 165*n + 3. List the prime factors of z(1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16197.\nAnswer: 3, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2730 and 22\/945.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -20*d**5 - 6*d**2 + 25*d. Let s(y) = -40*y**5 - 11*y**2 + 49*y. Let c(a) = 11*h(a) - 6*s(a). What is the second derivative of c(t) wrt t?\nAnswer: 400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -16. Solve u*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10602 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5034 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4469.01 times 28.2\nAnswer: -126026.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 887*d + 79819. Calculate r(-90).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, t: 13}. Give prob of sequence vtvt.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22312, -20997, -19688, -18385, -17088, -15797?\n\"Answer: -3*t**2 + 1324*t - 23633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605277 is divided by 395?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 i when four letters picked without replacement from {n: 2, a: 1, i: 5, e: 11}?\nAnswer: 275\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 0) + (31 - 25) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1050119.641 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19205 - 19204. Sort 0, -1, r, 387, -5.\nAnswer: -5, -1, 0, r, 387","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 + 850*m**4 + 53750*m**3 + 1479200*m**2 + 13913725*m - 34188010 = 0. What is m?\nAnswer: -43, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15309*-0.878\nAnswer: 13441.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -113.9, 0.2 in decreasing order.\nAnswer: 0.2, -5, -113.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5624 - 1133. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -41. Let u = c + -5. Which is bigger: -36\/11 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 2*f**2 + f + 1. Let l = 6 - 7. Let c be v(l). Let u be (8199 - c)*(-2 + -498). What is u rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5 + 152*o**4 - 1252*o**3 + 3856*o**2 - 4544*o + 1792 = 0. Calculate o.\nAnswer: 1, 4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1320 is divided by 138?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 11 = 2*w, -6885*d + w + 52 = -6839*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 26*(1 - 2). What is the greatest common factor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 18281*d + 36556. Give q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2 - 2*n - 5 + 3. Let j(g) = -5*g + 117*g - 55*g - 37*g**2 - 57*g + 5. Give u(j(s)).\nAnswer: 74*s**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 2, c: 1, i: 2, b: 1, q: 2}. What is prob of picking 1 c and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 + 22*t**2 - 42*t**2 + 13*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/50)\/(56844\/(-378960))?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i - 5. Determine r(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-183 - -202) + -2 + -58 - -15\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -740*x**4 - 3830*x**2 + 44189868*x wrt x?\nAnswer: -8880*x**2 - 7660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/5))\/u)\/u*u*u*u**(-14))\/(u*u*u\/((u*u**(-13))\/u)*u**(-1\/21)\/u) assuming u is positive.\nAnswer: u**(-2893\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + -2 + (sqrt(1053) - (sqrt(1053) - -3*sqrt(1053))))*6)**2.\nAnswer: 419904*sqrt(13) + 12328848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19645 - -19639. Let w(y) = 25 - 7 + 15 - 29*y. What are the prime factors of w(i)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 + 7 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1411 (b) -0.2 (c) 2 (d) -89 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 f when three letters picked without replacement from {m: 1, d: 1, f: 1, l: 2, g: 1, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. Suppose -115975 = -0*v - i*v. Suppose -4*l + v = n, 3*n = -1 - 14. What is l rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.433 - -0.433. What is the third smallest value in p, 0.5, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979590426 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1435 or 1434?\nAnswer: 1434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101 + 10001010?\nAnswer: -1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 3*r**2 + r + 29. Calculate the remainder when 69 is divided by u(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 347 or 3112\/9?\nAnswer: 3112\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - z**2 - 5 - z**2)*(10 + 4*z**2 - 10).\nAnswer: -8*z**4 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f - 13. Let o(u) = 7*u - 19. Let b(g) = -3*h(g) + 2*o(g). Let m(j) = -4*j - 4. Calculate -3*b(l) - m(l).\nAnswer: 7*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, u: 1, s: 4}. Give prob of picking 2 s, 1 u, and 1 l.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/27, -1\/6, -212\/3, 11, 0, -3\/7, -0.008?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p - 3*p - 2*p)*(-5 + 4 - 1) + (1 + 1 - 1)*(-4*p - 2*p + 3*p) - 14*p + 10*p + 12*p)*(-2*p - p + 5*p).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g - 1132*g**2 + 17*g.\nAnswer: -1132*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 + 3) - 3 - (-36 - -32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 2*d + 2*d - 7*d - 4. Let p(l) = -2*l - 15. Let k be p(-5). Let c(w) = 6 - 1691*w - 1700*w + 2*w**2 + 3395*w - w**2. Give k*c(m) - 7*a(m).\nAnswer: 2*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2 - 4*q - q)*(-2*q + 10*q + 0*q).\nAnswer: -16*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -55.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2 + sqrt(76))**2*-5.\nAnswer: -3420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1648377834 - 1.\nAnswer: -1648377835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 9*u**2 - u + 3. Let l be m(9). Let h be l\/(-3 + 3 - 2). Suppose h*p - 20 - 7 = 0. Calculate the highest common divisor of 81 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-143)\/231 - -1 - 6\/9. Are -282 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 498301 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 2.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**2*n**(-11)\/n)**(6\/5)\/((n\/n**6)\/(n**(-3\/5)*n))**1 assuming n is positive.\nAnswer: n**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from cididze.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 5*(-1)\/((-5)\/(-4)). Which is smaller: 4\/91 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4 - 19426*p**3 - 46355872*p**2 + 3970651864*p - 28788484800 = 0 for p.\nAnswer: -4898, 8, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 636*i*l**2 + 8*i*l + 4*i - l**3 - 159*l**2 - 442*l - 3 wrt l?\nAnswer: 1272*i - 6*l - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13*x - 25. Let k(l) = 3*l - 6. Let t = 2 + -11. Let p(o) = t*k(o) + 2*c(o). What is p(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9142 times -0.4\nAnswer: -3656.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2875 - 1.7?\nAnswer: -2876.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.87 + 1.47. Let n = 36.2 + -30. Let v = 1.2 - n. What is the second biggest value in m, -1\/8, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 110. Let s be (7\/d)\/((-3)\/18). What is the biggest value in -8, -0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 267, 252, 225, 180, 111, 12?\n\"Answer: -h**3 - 8*h + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 289 + 905. Calculate the smallest common multiple of 21 and (4 - q\/8) + (-12)\/48.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1290477 - -23?\nAnswer: -1290454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -40?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.474446 kilometers?\nAnswer: 547444.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171601960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*h - 7. Let b = -0.7 + 1.2. Put h, b, 2 in increasing order.\nAnswer: b, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.38? (a) -2\/137 (b) -2\/7 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = c + 13, -3 + 28 = 5*c - 5*m. Suppose 0 = -5*s + c + 13. Differentiate -3 - 6*a + s*a + a with respect to a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.4 (b) -90 (c) -1\/23 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*c**3 + 162*c**3 - 757*c**3 + 145*c**3 + 152*c**3 + 149*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 16 - 18 + 4*w - 2*w.\nAnswer: 2*w - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(2\/(-5))\/(-1). Differentiate -4 + 5 - 3*i**u + 2 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44748675\/(-60) + (-2)\/(-8). Let p = f + 215811. What is p rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 7. Let l(n) = -n + 4*n - 28 - 2*n - 6*n. Let y(v) = -9*c(v) + 2*l(v). What is y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 181113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Suppose 0 = -t*v + 1 + 17. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103.9 * -1.04\nAnswer: 108.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*b - 3*m, -20 = -3*b - 2*b + 5*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5027, 5035, 5045, 5051, 5047, 5027, 4985, 4915?\nAnswer: 4811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/6, -1\/12, -1.767, -11\/5, 0.4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 271226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3089 - 1275. Let y be 2*n + 2 - -2. Let v = y - 21893\/6. Calculate the common denominator of 55\/3 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Let d(h) = 7*h + 2*h - 7 - h**2 + 9. Let b be d(9). Solve -5*g - b*t = -3, g - 5*t + f*t = -9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 45644?\nAnswer: -91288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 266*r**2 + 35*r + 7. Let t(d) = d**2 + d. Let k(m) = c(m) - 42*t(m). What is the units digit of k(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 + 3*n - 2. Let a(j) = -1 - 3*j + 2*j + 2*j. Let q be 17\/4 - -1 - (-1705)\/(-1364). Determine q*a(x) - k(x).\nAnswer: 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3224 - 3222. Solve 5*p + 19 = 2*h, -a - 23 = 5*p - 5*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 36*m**2 - 142*m - 435. What is f(-32)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 61*i**2 - 1. Let y(l) = -l**2 - 1. What is g(m) - y(m)?\nAnswer: 62*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2870\/357 + 4*(-10 + 9). Is 4 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 700 = -3*d + 1951, -o + 433 = -3*d. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 885965870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*v = -80*v - 54 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(-25*(-19)\/1425).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((4 - 5)\/2). Suppose -6 = -c - 2*c. Suppose -d = -c*d - 1, -171 = -h*q - 5*d. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27780 and 16?\nAnswer: 111120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 6*c**2 + 9*c - 6. Let u be t(7). Calculate the greatest common divisor of 40 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 126 - 18)*(0*f - f - f)*(-44 + 98 - 41).\nAnswer: -3484*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/3*-80)\/((-4)\/3000). Round s to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 2 + (-35 - -32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -319860 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cd228d - 3?\nAnswer: 1cd228a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 60 - 15 = 0. Let s be (-10)\/a + (-126)\/(-10). Let t(b) = b**2 - 11*b - 7. Is t(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 10\/7 (c) -1 (d) -1\/2 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 420?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 + 4*b**4 + 6 - 4 + 0 wrt b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*r + 75*r + 129*r - 335*r - 6 + 17*r**2 - 24*r**2.\nAnswer: -7*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45\/4 of a gram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*n + 2*n + 4148. Let o = n + 6108\/25. Let o*i**2 + 2\/25 - 8\/25*i = 0. Calculate i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186387272 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((2*sqrt(5760) - sqrt(5760) - sqrt(5760)) + sqrt(40))\/(-3*sqrt(32)).\nAnswer: -2 - sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 632 or -0.81?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 + a**2 + 46 - 2*a - 25.\nAnswer: (a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13173 + 13173.77948. Let h = r - 0.77. Round h to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknbknkknnbbnkbnbkn. What is prob of sequence bk?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -201\/5, 6\/23, 5, 1, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -1. Let w be 0\/(4 - (0 - -3)). Solve -3*s + w*s = x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v**2 - 7*v**2 + 25*v**2 + 1 + 109*v - 1 to n + t*v**2 + u*v and give u.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1 - 5 - 5*c - 4. Let h be d(-7). Suppose 0*l + l - h = 0. Does 22 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - g + 3. Let d be k(0). Solve -4*s + 5*y + 27 = 0, 2*y + 24 = d*s - 3*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4432\/25 (b) 84 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1624 and 9464.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/((-10)\/(-75)). Let j = y - -23. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283.98579 hours to days.\nAnswer: 11.83274125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 16, -1\/8, 11616, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 264*v**3 + 173*v**3 - 30*v + 30*v + 4*v**2 + 3 to c*v**2 + o + p*v + j*v**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -961, -1078, -619, 416, 2027, 4214?\nAnswer: 6977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 37*l**2 - 8*l + 5. What is s(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7268558 years?\nAnswer: 0.07268558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 84 = 4*d, 4*d - 44 = 6*a - a. Suppose -13*t = -17*t + d. Find the third derivative of t*m**6 + 12*m**4 - 12*m**4 - 35*m**6 + 13*m**2 wrt m.\nAnswer: -3720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + -2 + sqrt(7).\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*g + 56. Let l be (g\/(-2))\/((-17)\/17). Suppose l*a - 24 - 20 = 0. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*v - 5*z = 336*v + 15, 4*v - 9 = 3*z. Solve 34*a + 27 + 109 = v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 28 = -9*q. Let b(x) be the third derivative of -x**6\/120 + 7*x**5\/60 + 2*x**3\/3 - x**2. Is 4 a factor of b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -58 in increasing order.\nAnswer: -58, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-7 - -43)) + (3 - 12) + 11?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, j: 3}. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8720 and 30990.\nAnswer: 27023280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + a5bd?\nAnswer: a5c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a minute in seconds?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13224 and 789612.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*k + 28, 9 = -3*d - k + 25. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 - 60447*o**2\/5 + 60891285*o + 60903375.\nAnswer: 3*(o - 10075)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -943851*p + 1107271.\nAnswer: -943851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2\/9, -4, -2002?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 266093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 8351*h + 8351*h.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5278*k + 4*k**2 - k**2 + 5278*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 27. Suppose 134*c = 151 - 955. Calculate a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -569 (base 13) in base 8?\nAnswer: -1644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 943984*f + 2831943.\nAnswer: (f - 943981)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13239 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 26163119.94 to the nearest one thousand.\nAnswer: 26163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -7*s**5\/5 - 507*s**4\/10 - 26*s**3\/5 + 1014*s**2\/5 + 216*s\/5 = 0.\nAnswer: -36, -2, -3\/14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10*o - 248 = -w, 0 = o - 5. Let x = -149 + w. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/25 + -77\/225. Suppose 3*o = -0*o. Suppose 4*n = -j - 1, 4*n + 2 = -2*j - o*j. Is x > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*a - 192. Suppose -10 = 4*y + y - 5*o, 3*o = -3*y + a. Put 0, y, 10 in decreasing order.\nAnswer: 10, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36617407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r = -5*b + 850012, -b = -5*r - 169980. What is b rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 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: Four letters picked without replacement from hlkcklklllolncoll. What is prob of picking 1 k, 1 o, 1 l, and 1 c?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(75\/6)*5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*d - 24*d - 5*d**2)*(-1922*d - 595*d + 2 - 1786*d).\nAnswer: 21515*d**3 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 550*w**3 - 19380*w**2 - 280330*w - 1449335.\nAnswer: -5*(w + 17)**3*(w + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 21014.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**7\/1260 - t**6\/72 - t**5\/8 + 2*t**4\/3 - 12*t. Let o(n) be the third derivative of q(n). Is o(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 14) to base 6\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 16. Let l = t - -8. Let x = -0.5 + 0.5. Which is the nearest to x? (a) -0.3 (b) -2\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205.2 - 509. Let f = v + 254. Let z = f + 57. Round z to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 10*p - 27. Let h be g(21). Let j = -42 - h. Calculate the remainder when j is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2859130597?\nAnswer: 67, 263, 162257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3353 - 741 = 506*o + 1472 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 54*c. Let h(x) = -712*x**2 - 7*x - 1. What is f(h(t))?\nAnswer: -38448*t**2 - 378*t - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -506 + 117?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlm when three letters picked without replacement from {d: 1, s: 1, o: 1, l: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:18 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 189738 = -8*o - 189659, 4 = -3*o - p - 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - 22 + 25 + g to the form x*g + m and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 760661061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104062318 and 12228?\nAnswer: 624373908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2543*p**5 - 38497*p**4 + 39850216*p**2 wrt p.\nAnswer: 152580*p**2 - 923928*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3298455 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 150 = -61. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1\/80 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lblteeletttelleleett. Give prob of picking 1 b and 2 t.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5509664 and 40.\nAnswer: 27548320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1140)\/171*(-2)\/((-190)\/513).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -57. Suppose 0 = -l*g + 2*x + 116, -2*g + x + 151 = 3*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -n + 36. Suppose -9*t - n = -t. Let r be ((-9)\/(405\/t))\/((-6)\/20). What is the second smallest value in 5, r, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2329, -0.3, 6, 11, -3 in decreasing order.\nAnswer: 11, 6, -0.3, -3, -2329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 2) + (8 - (12 - (-13 - -16)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -271393 or -5156443\/19?\nAnswer: -5156443\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 19. Suppose -3*l - 8 = -2, 2*c = 2*l + x. Suppose -5*d + 90 = c*o, -5*o - 117 = -5*d + d. Calculate the remainder when 89 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1079, -2120, -3107, -4040, -4919, -5744?\n\"Answer: 27*w**2 - 1122*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*x + 2*x. Solve x*l - 3*t = 3*l - 18, 2*l = -3*t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -12\/5*m**5 - 84\/5*m**2 + 48\/5 + 18\/5*m**4 + 66\/5*m**3 - 72\/5*m = 0?\nAnswer: -2, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -10. Let g be (-15)\/k*(-20)\/(-15). Suppose -68 = -g*p + 6*p. Calculate the highest common factor of p and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(45) + 0) + -3)**2.\nAnswer: -90*sqrt(5) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Let y(n) be the third derivative of -41*n**4\/12 - 4*n**3\/3 + 913*n**2 + 2. Determine y(i(t)).\nAnswer: -82*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (282 - 229 + 448)*(-3*p**2 - 2*p**2 + 6*p**2) as y*p**2 + o*p + t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/247137 and -77\/149780.\nAnswer: 4942740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, n: 6, f: 1, j: 2, k: 5}. What is prob of picking 1 k and 1 n?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 888 - 888.00000557. Round w to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.561, -11, 6 in ascending order.\nAnswer: -11, -2\/3, -0.561, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -5\/2 (c) 0.5 (d) -4 (e) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (54\/(-4) + 10). What is the fourth smallest value in 0.8, 2\/15, -0.3, o?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2603 (base 8) to base 2\nAnswer: 10110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.153 + -0.093. Which is the biggest value? (a) 0.7 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*q - 232*q + 117*q + 116465*q**2.\nAnswer: 116465*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r = 5, r - 11 = -5*i. Suppose 5*m - 18 = 4*y, -3*y + 6*y - i*m + 10 = 0. Put -17, -5, 4, y in increasing order.\nAnswer: -17, -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-90)\/405 + 38*194\/(-36). Let j = l + 432. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + (0 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -571, -2282, -5135, -9130?\n\"Answer: -571*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 285 = -5*q + 3*q, -4*j + 5*q + 1075 = 0. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0 - 2*p**2 + 0*p + 0*p**3 + 0*p**4 + 1\/60*p**5. Let l(y) = -2*y**2. Let d be (-2)\/((-4)\/2)*3. Give d*h(a) + 2*l(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*24\/(-48).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16453974 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10545 by -5.\nAnswer: 2109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 + -92. Suppose 4*z + z = -f*z. Suppose 0*y - 4*y + 584 = z. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2006*p - 53723 = -42413 + 23224 + 123940 for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 5:17 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2908574 to the power of 1\/2, to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97\/3 + -33. Let c = -2.14 - -0.14. Put -1\/2, c, f in descending order.\nAnswer: -1\/2, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 174699 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.6632208107 - 59.711402. Let o = x + -82.9517942107. Let d = 83 + o. Round d to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 18189\nAnswer: -26\/18189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 637 + 664 = 0. Solve -4*y = u*c - 7*c + 8, -3*y - 4*c - 13 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 20*a + 7. Let r be s(-17). Let w = r + 42. Suppose 4*t - 8*t + w = 5*l, -t - 4*l = -14. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**2 - 88*q - 173. Give f(8).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2 - 4*q + 7*q + 1 - 1 - 2*q + (-1 - 1 + 0)*(3*q + q - 3*q) + 0*q + 0*q - q + 3*q + 0*q - 2*q.\nAnswer: -q + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 294 + -170. Calculate the remainder when 3469 is divided by c.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = s + 2*q - 2, -2*s - 4 = -3*q. Suppose -9 = -s*a + 3. Let m = 2 + a. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16731229 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -3172?\nAnswer: -3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*j + 3*j - 27, -4*j + 15 = -5*z. Let u be ((-15)\/2 + z)*10\/(-5). Let q(h) = -u*h**2 - 112*h + 112*h. Let x(p) = 4*p. Calculate q(x(o)).\nAnswer: -208*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 34, 44, 44, 28, -10, -76, -176?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244050 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 2 - 2 + (-3*j - j + 3*j)*(-4 - 1 + 3) + 1328*j - 448*j + 1238*j + 5034*j.\nAnswer: 7153*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -13 + 43. Suppose 6*k = 5*k + d. Let b = k + -6. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -38\/917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*l - 10. Let t(f) = 279*f + 2. Is t(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efwhc. Give prob of sequence fwh.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000625799 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -210*i*w + 763*i + 6*w**3 - w - 1 wrt w?\nAnswer: -210*i + 18*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 4*q + 2*c, 9*q = 10*q + c + 19. Let g be (8\/6)\/((-2)\/q). Solve 4*m = -0*m + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) 1\/4 (b) -2.1 (c) -12 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5\/4))**(-5) assuming m is positive.\nAnswer: m**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 + 3*x. Let l(p) = p - 4. Let c be l(2). Let t be o(c). Suppose -2*a = t*a - 32. Solve -3*r - a = 5*i + 3, 0 = -3*i + 5*r + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 156.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -47432 (base 9) to base 2\nAnswer: -111101111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 2*f + 1. Let p be s(-3). Let -4*j**2 - 8*j**4 + 4*j**3 + 7*j**3 + 0*j**p - j**3 + 2*j**5 = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2609, -2300, -1723, -878, 235?\n\"Answer: 134*g**2 - 93*g - 2650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*w = -5428, 42*w - 41*w = v - 2704. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.01 + 7.4. Let x = o - 0.39. Which is the second biggest value? (a) -2 (b) 1 (c) x (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3cd3 + 1c?\nAnswer: -3cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321*o + 732*o**3 - 151*o - 382*o**3 + 665*o**3 wrt o.\nAnswer: 6090*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 3*o + 1. Let s be f(2). Let n(u) be the first derivative of u**2\/2 - 7*u - 872. Calculate n(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-42)\/12)\/(6\/(-252))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -3\/5, 26, -2, 2 in decreasing order.\nAnswer: 26, 4, 2, -3\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*a**3\/7 - 150*a**2\/7 - 26*a - 48\/7.\nAnswer: -2*(a + 1)*(a + 8)*(8*a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a hour in seconds?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 + 3*g - 2. Give n(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.042*-8.0645\nAnswer: 0.338709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (664 - 700) + 4 + -1 + 2 + 4?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 3*s**2 + 6*s - 5. Let a be x(4). What is the third derivative of b**6 - a*b**6 + b**6 - 4*b**2 + 9*b**2 wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + q = 3*q - 52, i = -2*q + 12. Solve -p - p + 2*t = i, 5*t = -5*p + 25 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 8. Suppose m*r = -0*r + 120. Let c(l) = l**3 - 13*l**2 - 7*l - 9. Calculate the remainder when c(14) is divided by r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 2. Let q be j(-2). Suppose 12 = q*k - 4. Let i(o) = -5*o - 2. Let a(g) = 3*g + 1. Determine k*i(n) + 7*a(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/10))\/c)**(-3)\/(c*c**(26\/5))**(-19))**(-26) assuming c is positive.\nAnswer: c**(-3055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 224490932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055625 rounded to seven dps?\nAnswer: -0.0000556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66c + -1?\nAnswer: 66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*v = 18, 0 = 4*z + 5*v + 5 + 21. Let s be ((-2)\/(-6))\/(-3 + 0 - z). Is 7 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -19. Let r(b) = -228 - b**a + 7*b + 2*b**2 + 230. What is r(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9558*k**3*y - 2*k**3 - 3*k**2 - 1804*k*y**2 + 3863*k + 11 with respect to y.\nAnswer: -9558*k**3 - 3608*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-5))\/(14\/35))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.7 - -7.3. Which is the nearest to -0.01? (a) q (b) 3\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.79*134.\nAnswer: 909.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 12*m**2 - 2*m - 1. Let a = -8 - -7. Let l be o(a). Calculate the highest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = -3*r, -5*w + 4 = -1. Suppose 2 - 17 = -r*g + 3*q, 2*g - 5*q = 21. Solve -5*d + g*l = 0, 2*d + l = -4*l - 31 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 13) + 1 + 7 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529250 is divided by 651.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 22305, 22281, 22257, 22233, 22209, 22185?\n\"Answer: -24*y + 22329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2 - 2387*a + 23770 = 0.\nAnswer: 10, 2377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**3 + 40*l**2 - 11. Give w(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1138083, -2276166, -3414249?\nAnswer: -4552332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/2*v - 3\/4*v**4 + 3\/2*v**3 + 0 + 27\/4*v**2.\nAnswer: -3*v*(v - 3)*(v - 2)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*a, 4*c + 6*a - 3*a + 81 - 30 - 39 = -a - 0*a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:22 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 0*p - 13*p**2 - 1\/420*p**6 - 1\/35*p**5 + 0 - 8\/21*p**3 - 1\/7*p**4. Factor n(x).\nAnswer: -2*(x + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-14) + 369*(-5)\/(-315)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-29)\/(-5) - 8\/10. Let j(y) = -11 + 4*y - 33 - g*y**3 + 4*y**3 - 3*y. Let n be j(0). Round n to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 2, -0.3, -0.1, 844091?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 42 = p, 0 = -4*f - 2153*p + 2152*p - 24 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 57.5 - -31070.4\nAnswer: 31127.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 84016 divided by -16\nAnswer: -5251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {t: 4, n: 8, x: 1, f: 2, e: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656683673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, j: 1, l: 2, t: 2}. Give prob of sequence jtu.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 2*z**2 + z + 0*z**3 + 0*z. Let h be (-12)\/48 - (-18)\/8. What is the tens digit of j(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(162)*-3*6 + sqrt(162))\/(sqrt(150)*2 - sqrt(150)))**2.\nAnswer: 7853\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 2*r**4 - 56*r**5 - r**5 + 5*r**5 - r**5 + (2*r**3 - 1 + 1)*(0*r**2 + r**2 + r**2).\nAnswer: -49*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 13) to base 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c + 794 = 164 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -2344*f + 2341*f + w, -f + 5*w + 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 25*k - 925 + 453 + 461 - k**2. List the prime factors of f(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z - 2. Let x be g(2). Suppose 3*q + x*k = k + 18, 0 = -5*q + k + 30. Let r(n) = -n - 3. Give r(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12752 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287883421.\nAnswer: 7, 19, 37, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 - -1)\/(3251\/271 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 104?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 8 - 20)*((-3*p**3 + 5*p**3 + 0*p**3)*(3*p**2 - p**2 + 0*p**2) - 254*p**5 + 153*p - 153*p) - p**2 - p**5 + 3*p**5 - p**2.\nAnswer: 9252*p**5 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.24 + 0.04. Let r = 2 + o. Which is the nearest to r? (a) 0 (b) 0.4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2307 = -3*l, 6*l - 1526 = 4*l + s. Is 7 a factor of ((-14)\/5)\/((-18)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820897855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 8*c - 1. Let o(y) = -2*y**2 + 8*y + 21. Let q(f) = -f**2 + 8*f + 20. Let d(l) = -2*o(l) + 3*q(l). Let s be d(-6). Determine p(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 12:05 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1 + 4)*1\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/16 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.7771778 to 1 decimal place.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1. Let u(z) = -1. Let v(o) = o. Let f(j) = -3*u(j) - 2*v(j). Let t(x) = -f(x) + 2*h(x). Find the first derivative of t(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-6))\/(10\/(-45)). Let r be 0 + (-4)\/(4 + b). Solve -2*p = -3*g + 12, -2*g + r = -p - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 14*o - 11. Is h(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -417*d - 2. Is k(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 + 5*p - 2. Let d = 0 + -2. Let o(m) = -m**3 - 5*m**2 - 3*m + 4. Let h be o(-4). Let a(u) = 4*u**2 - 4*u + h*u + 6 - 4. Give d*b(z) - 3*a(z).\nAnswer: -2*z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 23. Suppose -w = -i - 1. Let b = 8 + -5. Solve b*j - i = -g - 1, j + 1 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -48305.\nAnswer: 2\/48305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*d - 14 - 4562. Let o = -119 - d. Are o and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -6. Let k be (-3)\/7 - (-46)\/w. Is (-7)\/(k\/330) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus -108?\nAnswer: 108.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 200462246 (base 7) to base 5\nAnswer: 10433041204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3882)\/(-4))\/(3*3\/(-12)). Let c = v - -144. List the prime factors of (c\/15 - -1)*-3.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a = -3*l - 21, 12*l + 10*a = 14*l + 15*a - 7*a + 14 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 0.2. What is the third biggest value in u, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 238241.4 to the nearest one thousand.\nAnswer: 238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (223*j**4 - 482*j**2 + 482*j**2)*(0 - 1 - 1) + 7*j**4 + 12 - 12 as q*j**2 + k*j**4 + p*j**3 + l + r*j and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g = -32*g - 385. Let q = g - -2378. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 1. Suppose 4*v = 8*v - 8. Give r(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 197206 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5571 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 3\/2 (b) -0.44 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 475867.78 to the nearest one hundred.\nAnswer: 475900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -15. Let s = -22624\/3 + 7541. Which is smaller: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4595 + 6318. What are the prime factors of o?\nAnswer: 7, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 1, 3\/4, 2\/5, -1.36 in increasing order.\nAnswer: -1.36, -0.04, 2\/5, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (-82 + -26 + 6 - 4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/(1\/(-5)). Suppose -2*q + 2*y = -4, -q - o = 3*y - 0. Suppose -4*i = -17 + q. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37642453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 9, 8, 5, 0, -7, -16?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 3846 + 29652 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -369 + 373. Suppose m + g = 0, 4*r = 2*m + 875 + 61. Which is smaller: r or 233?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 1:49 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3946*n**3 - n + n + 4*n**2 + 3945*n**3 - 7893*n**3 + 2592 to the form i*n**2 + s + r*n**3 + c*n and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 10:46 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-11)\/(-3) + 0\/14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 411499, 821868, 1232237, 1642606?\n\"Answer: 410369*o + 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let l be a(1). Suppose 0*p - 8*p = 0. Suppose p = -r + l. Solve -3*z + r = -u, -z - 3*z - 2*u + 8 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(10) - sqrt(60)\/(4*sqrt(6))) - ((-2*sqrt(1323) - sqrt(1323)) + sqrt(1323))\/(sqrt(63)\/(-2*sqrt(7))))*-6.\nAnswer: 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 846318681 to the power of 1\/4, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -d - 3*y - 16, d + 49 = -2*y. Let j = 36 + d. What are the prime factors of (-10)\/((j\/2)\/(-9))*-13?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200102211 (base 3) to base 11\nAnswer: -a10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**7\/1575 - u**6\/100 - 11*u**5\/225 + 1663*u**2. Factor x(f).\nAnswer: 2*f**2*(f - 11)*(f + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1071*t**3 + 6*t**2 + 30.\nAnswer: 6426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*r + 1997 = -731 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3818187 divided by 9\nAnswer: -424243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 207 = -0*t. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, -226, -621, -1174, -1885?\n\"Answer: -79*k**2 + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -591, -526, -343, 18, 617, 1514, 2769?\nAnswer: 4442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2091457475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x + 16 = -89. Let s(i) be the second derivative of 4*i + 0*i**5 + 3\/10*i**6 - 8*i**2 + 0*i**4 + 0*i**x + 0. Differentiate s(a) wrt a.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -99)\/(-2*9\/12). Let d = n + -58. Suppose -5*i + d*i - 2 = 0. Calculate the highest common divisor of i and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 + x - 16*x - 52 in the form f*x + s and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o + 6. Let m(f) = 2*f + 3. Suppose 0 = t + 2*t + 39. Determine t*m(l) + 6*d(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 7*g**2 - 6. Let h be p(7). Let n be 2\/6 - 4\/h. Are n and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (1\/4 + 95\/(-76))*(0 - 3429)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 130596 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 105920\nAnswer: 6355.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16 - 0.44. Let v = -0.4 + n. What is the nearest to 0 in -4, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 + 282*y - 956. Give o(-97).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163*-2.193.\nAnswer: 357.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4267673.5 rounded to the nearest ten thousand?\nAnswer: -4270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/89 (b) -0.26 (c) 4.82 (d) 0.1 (e) 3\/8 (f) -2\/11 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -3887.\nAnswer: -3889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose 3*t - c = 20 - 0, 3*t + 2*c - 5 = 0. Let o be (-690)\/(-30) - (7 + 0). Solve o = -t*s - q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + sqrt(847) - -4*-2*sqrt(847).\nAnswer: -77*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 25*q. Let l(z) = 49*z. Let m(d) = 5*a(d) - 3*l(d). Let b(r) = -2*r**2. Calculate m(b(w)).\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10995 + -241985\/22. Let l = -4 + -17. What is the common denominator of b and l\/(-6)*27\/(-14)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4 less than 1472.732?\nAnswer: 1465.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/8706 and 181\/30.\nAnswer: 43530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.4 (b) 0.206 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/(d\/d**6*d))**(-16))**(12\/7) assuming d is positive.\nAnswer: d**(384\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*v = -0*v - 129, 3*n = -3*v + 405. List the prime factors of n.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5*s**2 - 3*s**2 - 2*s + 2*s**4 + 3*s - s**2 to the form u + c*s**2 + t*s + k*s**4 + y*s**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5448\/(-2951) + (-2976)\/78.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -45, -147, -345, -669, -1149, -1815, -2697?\nAnswer: -3825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 910 - 601. Suppose 2*m - z - t = 0, 2*z + z = -2*m + 329. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + 30*y**3 + 11*y**2 + 2*y - 63*y**3 + 30*y**3 + 85 - 5*y**2 to the form z*y + x*y**3 + v*y**2 + w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56040453?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b**2 + b - 1. Give j(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-15)\/9)*26\/(2600\/(-60))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -105.789.\nAnswer: 846.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*(2 - ((-39)\/(-6) - 2)). Let n = q - 36. Put 1, -12, -3, n in increasing order.\nAnswer: -12, -3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112212 - -2?\nAnswer: -1112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366389021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -10.48.\nAnswer: 3.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29755\/3186 - -480\/59. Is l < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -99*m + 29. Solve 9 + m = -11*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = r - 20. Solve z - r*z + 3 = -3*q, -4*q = -2*z + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1386*s + 8700. What is b(6)?\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -3\/179?\nAnswer: -3\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -14. Suppose m - 5*i = -z - 14, -7 = -3*m + i. Suppose -h = -3, m*s + h + 9 = 4*h. Solve 0 = 2*d - s*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811.0393 kilometers to micrometers.\nAnswer: 811039300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 4. Let b be l(-6). Let a(i) = -i**2 + 17*i + 867. Calculate the remainder when ((-234)\/b)\/(3\/8) is divided by a(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 3 - 75*f.\nAnswer: -75*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 679160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 0.1, -3, -0.5 in decreasing order.\nAnswer: 27, 0.1, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - 2*x**2 - 2*x. Let v(s) = 5*s**3 + s**2 + 3*s. Let f be 12 + 873\/(-72) + 1\/(16\/(-30)). Determine f*v(o) - 3*q(o).\nAnswer: 2*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 574153, 1148236, 1722319, 2296402, 2870485, 3444568?\n\"Answer: 574083*x + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 306 = 2*j - 632, -j + 163 = -5*w. Let y = -50 - -106. Calculate the remainder when j is divided by y.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*u**2 + 16 - 28\/3*u.\nAnswer: 4*(u - 4)*(u - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6278*i + 37. Let x be z(2). Suppose 2*l - 5*l + x = 5*b, 5*l - 2523 = -b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*3)\/sqrt(4) - ((sqrt(272) + 2 + sqrt(272) - sqrt(17)) + sqrt(17))) + (sqrt(153) + sqrt(153)*-2*-3)*4)**2.\nAnswer: -316*sqrt(17) + 106101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -47372927 and 429?\nAnswer: 47373356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -2 - -5 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -106116 take away -14?\nAnswer: -106102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**2 - 477*n**2 + 148*n**2.\nAnswer: -357*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 7*q**4\/4 - 365*q**3\/4 + 1356*q**2 - 4385*q + 4048 = 0.\nAnswer: 2, 23, 176\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -497623\/118 and -4218 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 564526481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -9, -5 in decreasing order.\nAnswer: 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/((18\/(-24))\/1) - -26. Solve 0 = 34*s - h*s + 80 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 9 + -47 + 5 + 3?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzccczzcccczc. What is prob of sequence czz?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-546)\/6 + 3. Which is smaller: a or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence illi when four letters picked without replacement from liiiiildlllldilill.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2137428 to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/d)**(-17\/3)\/(d**1)**(-25) assuming d is positive.\nAnswer: d**(259\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13436 - -82bb?\nAnswer: 1b735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -70.905 in 1\/2, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 526923 and 762.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1021*w**2 - 1483*w.\nAnswer: -2042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 421694 rounded to the nearest 10000?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = p - 2*l, 35 = -p - 5*l. Let i be (-1248920)\/16*8\/p. Let h = i + -109446. Round h to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80 + -65 - -82) + -77.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 88*m**2 - 744*m + 249. What is x(8)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 126*a**2 - 86*a + 27. Is h(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 - -1 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 greater than or equal to 399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -334*s**2 - 437*s**2 + 37 + 53 wrt s.\nAnswer: -1542*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 499 - 463. Suppose -195*r = -196*r + n. Solve -s + 14 = p - 3*p, -4*p = -4*s + r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 + -5 + 4 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8788883*o**2 - o + 458398 wrt o?\nAnswer: -17577766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6707 to the nearest 100.\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4026*a - 1347*a - 1343*a - 1338*a. Let p(l) = -5*l. Determine t(p(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6152038um in kilometers?\nAnswer: 0.0000000006152038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -91, -185, -295, -427, -587?\n\"Answer: -c**3 - 2*c**2 - 81*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z + 1. Let q be m(2). Let i = 973 - 968. Let g be (i - q)\/(-2 - 0). Solve 2*t = -g*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.693 - -1.7. Let d = s - -4.093. Let z = 4 - d. Is -0.12 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97.1 + 104. Let q = 10 - 3. Let a = q - t. Which is bigger: a or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5 - 380*o**4 + 3668*o**3 + 609404*o**2 - 9763040*o - 10368400 = 0.\nAnswer: -70, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 35 = 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**23*w)\/w**(-3\/11)*(((w*(w\/(w**(-4)*w))\/w)\/w)\/w)\/(w*w*w\/(w*w\/(w\/w**(-1\/4)))*w) assuming w is positive.\nAnswer: w**(1013\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155934847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118.5 - 119. Which is the closest to 0? (a) -1.6 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856*o + 25 = 5*j - 852*o, 0 = 5*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 114 = -42. Let t = -64 + 64.04. Which is the nearest to y? (a) -3\/4 (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 19 = 4*l - 3*l, 2*l = -2*z + 2. Let v be ((-53)\/2)\/(l\/(-16)). Calculate the highest common factor of v and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -44*n + 56, -8 = 41*n - 37*n - 4*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:46 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 5*c = -3*q - 85, 2*q + 2*c - 26 = 0. Suppose -5*v + 3*s + 162 - 109 = 0, 5*s = -3*v + 25. What is the remainder when q is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969976193 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2786\/(243\/(-18) + 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 11*v**8\/112 - 15*v**7\/14 + 81*v**6\/20 - 5*v**5 - 3*v**4 - 3224*v**2 + 2. Determine x so that l(x) = 0.\nAnswer: -2\/11, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + -2)**2 + (sqrt(180) + sqrt(180)*-1)**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + 2*j**2 - 2*j**2 + 2*j**4 + 2 - 2 + (35 + 114 + 106)*(-3*j**4 - 2*j**4 + 3*j**4).\nAnswer: -507*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3))**32\/(y\/((y*y*y**(-1))\/y)*y*y**(1\/5)\/y))**5 assuming y is positive.\nAnswer: y**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 3. Suppose -4*a + 8 = 4*a. Let s be v(a). Let w(g) = -5*g - 3. Calculate w(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Suppose y + 1 = k. List the prime factors of -3*(y - 2)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5129 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1218844851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -86871834 divided by -18\nAnswer: 4826213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 2. Let w(h) = 2*h**2 + h + 5. Let q be 0 - -5 - 0\/1. Let g(p) = q*u(p) + 2*w(p). What is the second derivative of g(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 + 11*p + 47492*p**2 - 4*p + 2*p**4 + 2 - 47493*p**2 to o*p**3 + h*p**4 + w*p + b*p**2 + m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8776128*l - 2*l**2 - l**2 - 4*l**3 + 8776212*l - 1 as t + p*l + m*l**2 + k*l**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 5, -11825, -1, 159 in increasing order.\nAnswer: -11825, -1, 0, 2, 5, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i. Let q(u) = u**2 + u. Let d(n) = 16*n**2 + 20*n. Let h(o) = 2*d(o) - 40*q(o). What is h(x(f))?\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -236\/19 in 2\/9, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2d660 (base 15) to base 13\nAnswer: 51933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 49*y**2 - 40*y - 112. Let z(q) = -q**3 + 19*q**2 + 42*q + 48. Let h be z(21). Does 23 divide i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -149 + 146. Let v(r) = -r - 1. Let i(j) = j**2 + 2*j + 1. Let q(o) = -3*i(o) - 6*v(o). Let g(h) = 4 + 2 - 2 - 5. What is w*g(y) - q(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/5269 and 34\/2695.\nAnswer: 1290905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -304 + 305. Suppose 3*c + 2*c - 19 = 2*l, 0 = 3*c + 4*l - h. Solve -17 = 7*m - c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 709697 and 3293.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -27*c**3 - c**2 + 2*c + 2. Let w(r) = -55*r**3 - 3*r**2 + 5*r + 5. Determine -5*o(u) + 2*w(u).\nAnswer: 25*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17297 + -8030. What is l rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.069 - 0.369. Let a = -18 + 12. Let t = -2.5 - 0.5. Put w, t, a in increasing order.\nAnswer: a, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64529342.\nAnswer: 2, 1237, 26083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - q + 0)*(3 + 1 - 5) + 5*q - q - 3*q + 2*q + q - 4*q)*(2*q + 2 - 2)*(q - 2*q - 2*q) + (-2*q + 2*q - 6*q**2)*(2 - 2 + 2*q).\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w**3 - 11*w**3 + 7*w**4 + (0 - 2*w + 0)*(w - w - 2*w**3) - w**4 + 3*w**4 + 0*w**4.\nAnswer: 13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r. Let p(g) = 46*g**2. What is s(p(j))?\nAnswer: 598*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 180534 and 165.37?\nAnswer: 180368.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.4 + 24. Let y = 9.8 + g. What is the biggest value in y, 3\/5, -1, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1020*n**2 + 0*n - 282*n**2 + 2081*n**2 + 0*n.\nAnswer: 2819*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, -2.7, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8275*y. Let u(d) = 10*d**2. Give g(u(l)).\nAnswer: 82750*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 433 divide 5011975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 3)*(2033*d**2 + 79*d**2 - 73*d**2) as j + t*d**2 + k*d and give t.\nAnswer: 2039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.893445 less than -4283.7907?\nAnswer: -4281.897255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58095101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1252074 litres in millilitres?\nAnswer: 125.2074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3497 and 25957693.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*f = 2645 - 4015 - 1047 - 9451 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 3 + 3)*(-2*b + 7*b - 4*b)*(2 + 1 + 0).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = -914 + 210. Solve p + y = -15*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1600, -6254, -14016, -24880, -38840, -55890?\nAnswer: -76024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 26 = t, -176 = -4*t + 5*m + 53. Calculate the remainder when t is divided by 36*(6\/4 + -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**3\/3 + a**2\/2 - a - 19. Suppose 5*u - 8 + 18 = 0. Calculate n(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209*x**2 + 80*x + 1.\nAnswer: 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022431 (base 5) in base 9?\nAnswer: -25576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*h = -6, -4*j - 20 = -5*h + 1. Let d be 92\/28 - j\/(-14). Which is the second biggest value? (a) 5 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 - l**3 + 7*l**3)*(-52 + 1 - 80)*(0 + 5 - 4).\nAnswer: -262*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2691000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 4\/10)\/((-19)\/(-380)). What is the smallest common multiple of 20 and ((-9)\/2)\/(-4 - (-124)\/z)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -169, -577, -1381, -2713, -4705?\nAnswer: -7489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/23 - 19\/92. Let x = -74.97 + 74. Let o = 11.97 + x. Which is the biggest value? (a) 1\/4 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - (108\/(-28) - -2) and 17\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 351946.2 to the nearest 10000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (27\/3)\/((-1926)\/7704)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 12*d - 8. Let z be g(5). Suppose 7*c - z*c - 635 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**6\/105 - 6*r**5\/7 - 31*r**4\/21 + 20*r**3\/7 + 61*r**2\/7 - 1023*r. Suppose h(a) = 0. Calculate a.\nAnswer: -1, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**3\/3 - 35*p**2\/3 - 76*p - 108 = 0.\nAnswer: -27, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -9 + (-4 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1292 and 41021.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 0*c**2 + 2*c**2 - 2*c - 25*c + 17*c + 28*c. Let k(t) = -3*t. Give m(k(y)).\nAnswer: 18*y**2 - 54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3011, -7, 0, 2 in increasing order.\nAnswer: -7, 0, 2, 3011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489916.\nAnswer: 2, 37, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/9)*w*w**(-1\/11)*w*w*w*w**(-4)*w*w**6\/w*w*w assuming w is positive.\nAnswer: w**(761\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014605 rounded to 6 dps?\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 14.\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, 6, 47, 96?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-12)*((-288)\/60)\/(12\/(-15))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7307 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26345019 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6227, -28, 13 in increasing order.\nAnswer: -6227, -28, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - m**2 - 3*m - 1. Let o(k) = 5*k**3 + 13*k**2 + 7*k - 7. Let r(v) = 3*f(v) + o(v). What is n in r(n) = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -1\/3*s**4 + 0*s + 0*s**2 + 0 + 1\/3*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 93*h**3 - 2883*h**2 - 29791*h.\nAnswer: -h*(h + 31)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 27 = -2*w + 31, -3*w + 20 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-20)*(r*r*r**(-10)\/r)\/r)\/(r**(6\/5)*r**(-15)) assuming r is positive.\nAnswer: r**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002030834 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-66)*2\/(-4).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. What is the third derivative of h**3 + 0*h**2 + 4*h**r + h**3 - h**2 wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-4 - (-4)\/4). Let z = 10 - t. Suppose -4*u - 8 = h, h + 28 = z*h - 4*u. Solve 0 = -0*i + h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z. Suppose z*d - 2*m - 119 = -d, -1 = -m. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*n + 36 + 2, -4*n = -2*c - 70. Factor 9*p**3 - 62*p**2 - 4*p**4 + 14*p**2 + 32*p + n*p**3 - 3*p**3.\nAnswer: -4*p*(p - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 4*q**2 + 6*q - 3. Let s be a(5). Is 80 - 3\/(5 - s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**3 - c**4 + 16*c**3 - 8*c**3 + c**2.\nAnswer: -c**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*o**2 + 7*o**2 + 13*o**2 + 0*o - 27*o to the form w*o**2 + l*o + i and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28417 - 28416.99978682. Round l to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**7\/147 - 2*n**6\/105 + n**5\/70 + 190*n. Factor d(y).\nAnswer: 2*y**3*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 25*w**3 + 2*w - 1. Determine f(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**8\/112 - j**7\/840 + j**6\/480 + 7*j**2\/2 - 5*j. Let i(s) be the first derivative of n(s). Determine q so that i(q) = 0.\nAnswer: -1\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**5 + 6576*x**4 - 91476*x**3 + 319480*x**2.\nAnswer: -4*x**2*(x - 1630)*(x - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/60 and 62\/131795.\nAnswer: 1581540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2568 and 2712.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 196685156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 23297940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 100779052, 201558107, 302337168, 403116235, 503895308, 604674387?\n\"Answer: 3*p**2 + 100779046*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3433, 6875, 10317, 13759, 17201, 20643?\nAnswer: 24085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1756 and -15.\nAnswer: -26340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307979525.\nAnswer: 5, 7, 79, 22277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11.71, -33418 in ascending order.\nAnswer: -33418, 1, 11.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 554142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102 + 67 - 11)*(-65*t - 26*t - 21*t)*(0 + 1 - 2).\nAnswer: 17696*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0.054132\nAnswer: -1.945868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 3d0?\nAnswer: 3ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -52. Calculate the least common multiple of 10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 298*z**2 + 0*z - 294*z**2 - 34*z + 31. What is the units digit of l(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/5)\/(t*t\/(t*t**(2\/37))))\/((t**(3\/14)\/t)\/((t\/t**(3\/16))\/t)) assuming t is positive.\nAnswer: t**(-3061\/20720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2767996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 4701637?\nAnswer: 1880654.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let g = -0.027 - 0.073. What is the smallest value in g, 0.4, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-384)\/40 - -8)*-25. What is the greatest common factor of d and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7220319 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.93 - 0.07. What is the smallest value in f, -1, 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 74541379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/11, -2\/45, 12, 0?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15694)\/(-24662))\/(7\/(-6))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25508 + -17075. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 30. Is 42 + i\/(10\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i. Let d(w) be the second derivative of -211*w**3\/6 + 855*w. Calculate d(k(h)).\nAnswer: 633*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + -1 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 14*m - 2 + 3.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 24*f - 6 = -5*d, d = -3*f - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 13 = 1. Let y(z) be the first derivative of -z**4\/4 - 2*z**3 + 5*z**2\/2 - 11*z - 12. Let r be y(m). Solve -r*c + 9 = -6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (237\/395)\/((-9)\/(27\/(-12)))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 0*z + 0*z**7 + 3\/112*z**8 - 1\/60*z**5 + 6*z**2 + 0 + 0*z**4 + 0*z**6 + 0*z**3. Find the third derivative of j(p) wrt p.\nAnswer: 540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -2, 2\/17, 0.5, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/10, 1\/250, 1, -3, 1.6, 0.4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7060275300 rounded to the nearest one million?\nAnswer: -7060000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5\/(-7))\/(13 - 12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3065031 * -4\nAnswer: -1.2260124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 - 491 = -66*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 - 5*i**4\/12 + 2*i**3\/3 + 2*i**2 - 3*i. List the prime factors of t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 101*y**3 - y**2 + 2*y**2.\nAnswer: 101*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4672.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8735.9999994343 + 8736. What is c rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from qqqqjjjqqjqj.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -720*(2\/8 + (-3315)\/884). Calculate the highest common factor of q and 560.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.973916ml to litres.\nAnswer: 0.000973916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 178410 bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u - 0. Suppose -5*q - 28 = 2*m, -32 = 2*q + 3*q + 3*m. Let g(t) = t**2 + 2. Let z be g(q). Solve -u*j = s + 3*s - z, -2*s = 5*j - 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*k + 114 + 34, -k - 5*b = -55. Let w = k + -3. Calculate the greatest common divisor of w and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2 - 37963176*d - 180150341500872 = 0.\nAnswer: -9490794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-2 - 0) + 1) - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + 3 + -1 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2 - -7 - 4) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -0.6. Let n = -1.4 - v. Which is the closest to -1? (a) 0.5 (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 803912753*a*k**2 + a*k + 69635511*a wrt k?\nAnswer: 1607825506*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(24)\/sqrt(8)))\/(-2*sqrt(432)).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*f + 37745 = -2*f, -50365 = -4*x - 5*f. Suppose 3*a = 5*p - 0*p - x, a + 4188 = 4*p. Round a to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 17*d = 3*d + 2*d + 9*d, -5*k = 4*d - 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 27 = -5*r. Sort r, 5, -5 in decreasing order.\nAnswer: r, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:16 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 1\/8*p**4 + 0*p + 1\/15*p**5 + 5\/3*p**3 + 11*p**2 + 0. What are the prime factors of v(-5)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-1)\/3)\/(441\/(-2646)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**4\/4 - 8*y**3\/3 + y**2\/2 + 731. Give i(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -114. Determine x so that t - 56 - 2*x**2 - 180*x + 154*x = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Let k(v) = v**2 + 6*v + 3. What is the smallest common multiple of o and k(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)\/(j\/(j*j\/(j\/(j*(j**(-3)\/j)\/j)*j)*j)) assuming j is positive.\nAnswer: j**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4663793260 to the nearest 1000000.\nAnswer: -4664000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f*n - 43*f*t**2 + 7*f + n*t**2 + 8*t**2 + 13 wrt t?\nAnswer: -86*f*t + 2*n*t + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 250 + 0*s - s**3 + 0*s - s**3.\nAnswer: -2*s**3 - 4*s**2 + 250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Let l(p) = p**2 + 3*p - 4. Let s(y) = 2*y**2 + 4*y - 5. Let w(c) = -4*l(c) + 3*s(c). Calculate the remainder when 25 is divided by w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720587 and 2799?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -3 (c) 0 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -31.31 times 121\nAnswer: -3788.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/(-26))*(-3)\/((-27)\/(-18)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 101. Which is the second smallest value? (a) 3\/14 (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 - -109. Let s(d) be the second derivative of -47*d**5\/20 + d**4\/12 - 2*d. Let h be s(-1). Calculate the greatest common divisor of h and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 6. Let y(n) = n**2 - n - 6. Let m(h) = i(h) + y(h). Let w(r) = 11*r**2 + 3*r. Give m(w(c)).\nAnswer: 121*c**4 + 66*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -153*i + 4. What are the prime factors of g(-2)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 202 + 171 - 373 + 0*k + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313150.\nAnswer: 2, 5, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c*c**(1\/3))\/(c\/(c\/c**(-5\/6))*c**6))\/(((c*c**(2\/5)*c*c)\/c)\/c*c**(2\/21)*c*(c*c**(1\/8))\/(c\/c**(2\/9)*c)) assuming c is positive.\nAnswer: c**(-11783\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 162 + 4?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*g**5 - 2*g**2 + 149.\nAnswer: -5220*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/21 and 34\/2229.\nAnswer: 15603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4013 - -242?\nAnswer: 4310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**3 - 358973*u**2 + 21*u - 342 wrt u.\nAnswer: 6*u - 717946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/4875022 and -39\/272?\nAnswer: 39000176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3450362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 3a3441?\nAnswer: 3a3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79824 = -4255*u - 94631 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 50*g + 1222. What is s(-30)?\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 9*q**2 - 13*q - 60. Determine b(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l - 9*l + 14*l + l**4 + 5*l**3 - 4*l**3 - 6 + l**2 in the form d + g*l + r*l**2 + s*l**3 + i*l**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -14 + -19 + 25.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 43. Let r = j + 21. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 295942332*x - 7298488655799852.\nAnswer: -3*(x + 49323722)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 491.9 - 492. What is the nearest to -0.02 in -3, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -191022, -382052, -573082, -764112, -955142, -1146172?\n\"Answer: -191030*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1065280.09 less than -9.18?\nAnswer: 1065270.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 5:18 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -723\/7?\nAnswer: -723\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 50*u + 45.\nAnswer: 5*(u + 1)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(12)\/(sqrt(24)\/sqrt(4))*-1)**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*(x*((x**(2\/31)*x)\/x*x)\/x)\/x*x**1*x*x\/(x**(1\/7)*x*x) assuming x is positive.\nAnswer: x**(1502\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 3*h + 12*h + 1447 - 1375 - 7*h.\nAnswer: h + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**5\/60 - w**4\/8 + 2*w**3\/3 + w**2. Let q(r) = r - 1. Let l(s) = -i(s) - 2*q(s). Let h be l(2). Sort 5, -1, h, -3.\nAnswer: -3, -1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x. Let f(p) = 68*p**2 - 7. Let y(c) = -33*c**2 + 3. Let l(t) = 3*f(t) + 7*y(t). Calculate l(b(o)).\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -844 + 946. Calculate the highest common factor of 408 and s.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 889\/8 + -8009\/72. Which is the nearest to 0.2? (a) j (b) -0.5 (c) 0.5 (d) -70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227543*r + 514250*r + 384437*r.\nAnswer: 671144*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 - 15657\/(-204) - (-69)\/(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1582 and -89.\nAnswer: 14.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3717 - 3714.179. Let g = 2.8 - i. Round g to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1530 and 1290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*sqrt(18)\/sqrt(6)*-1.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/39*2\/(-15). Let n = z + -1\/39. Sort n, -0.04, -5 in ascending order.\nAnswer: -5, -0.04, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6091*l - 405063 + 405063 + (-1 + l + 1)*(0 + 0 + 1) in the form b*l + f and give b.\nAnswer: 6092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - n**2)*(-5 - 3 + 4)*(-1 + 2*n + 1) - 6*n**3 - 6*n**3 + 0*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -58. Let z = 2.99 - -0.01. What is the third smallest value in -5, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5695 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2854.\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qppxwqggqwgglgw. What is prob of sequence lqx?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-1.33.\nAnswer: 9.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4 - 12116*y**3 + 4516916*y**2 - 364857100*y - 18828696600 = 0. What is y?\nAnswer: -35, 227, 2610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 288.0061 rounded to one dp?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4238184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2.8, -0.1, 2\/15 in descending order.\nAnswer: 2\/15, -0.1, -0.3, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*i - 2249 = 658. Calculate the remainder when 1068 is divided by i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -s + 4*t, 3*t = 3*s - 10 - 26. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 47 - 207 = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1168 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56893\/80 + -3543\/5. Find the common denominator of d and -9\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -310*i - 4028. Let s be g(-13). What is the closest to 77 in 44\/5, s, 3?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(6\/5)\/(y*y\/y**19*y*y**(5\/6)*y))**(-4) assuming y is positive.\nAnswer: y**(-778\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7105260 (base 8) to base 7\nAnswer: -21620250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1117371, -1117349, -1117305, -1117233, -1117127, -1116981, -1116789, -1116545?\nAnswer: -1116243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by (-2)\/(-9) - (-1446)\/54?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2080925 and 1375?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -20. Let j = p - -18. Is j greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 4\/9 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-2)*(-42)\/112?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*b + 36, -2*c = 4*b + 83 - 77. Calculate the greatest common divisor of 55 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*q + 100 = 232*q. Let v(z) = 4*z - 78. Let a be v(q). Let b(w) = -1 + 0*w**2 + 0*w**2 + w**2. Let m(d) = -d**2 + 2*d + 3. Determine a*b(r) + m(r).\nAnswer: r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/309?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)\/(6\/(-12)*-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -36 - (39 - 12 - 9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*p - 194*p + 226 = -895 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4 = 4*z, 6*l = 4*z + 2*l - 4. Let s be (0\/(-3) + 3)\/z. Suppose 35 = n - 4*c, 0 = -s*n - 2*c + 6*c + 65. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 - 102*z**2 - 102*z - 100. Let l be b(52). Solve 21*y = l*y + 102 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d. Let u be j(-2). Suppose 2*f = -3*l + 190, -3*l = -u*l + 4*f + 302. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -213*l + 200*l. Solve 2*q + 4*c - 10 = l, -9*q + 13 = -7*q + 5*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*y + 17 - 25 = 0, -12 = 3*n - 3*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**3 - 15*r**2 + 17*r - 2. Let b(a) = 7*a**3 - 15*a**2 + 18*a - 3. Let h(c) = 5*b(c) - 6*u(c). Let z = -8 + 22. What is the units digit of h(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -3 (b) 1\/2 (c) 2 (d) -0.5 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.4 - 13.6. Let c = 20 - r. Let u = 37.999864 - c. Round u to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40612 and 64468.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 283*f + 4679. Determine u(-17).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, x: 6}. What is prob of sequence xl?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*a - 463845*a**2 - 120*a + 55*a.\nAnswer: -463845*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7334493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 110\/53567, 0.2, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 2*m - 7 = 9*j, 0 = -4*j - 5*m - 16. Let i = -1095 + 12055\/11. Are j and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 399 and 0.18944 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -71, -9, 109, 289, 537, 859, 1261, 1749?\n\"Answer: n**3 + 22*n**2 - 11*n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003066999 rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*g + 6. Let x(m) = -4*m + 2. Let b be x(g). Calculate the greatest common factor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1411 - -0.0589. What is the nearest to 2\/7 in 3\/5, 0.4, r, 1\/24?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4776, -9530, -14404, -19398?\n\"Answer: -60*d**2 - 4574*d - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*s = 4*s + 2, 0 = -r + 5*s - 22. Let u = r - -5. Suppose -4*a - u*n = -189 - 140, 234 = 3*a - 2*n. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 170*x**2 - 5689*x + 686. Give a(-46).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3225.205343 to the nearest 10.\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5191 + 65.6091. Let i = 0.09 - n. Let x = i + 63. Sort x, -0.01, 1.\nAnswer: x, -0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9475 divided by 4\nAnswer: 9475\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 8877258900 to the nearest one million.\nAnswer: 8877000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (3 + -5 + 9 + (4 - 13)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0323 - 1.2480204.\nAnswer: -1.2157204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w**7 + 0*w**6 + 0*w + 0 + 0*w**3 + 1\/10*w**5 - 9*w**2 + 1\/336*w**8 + 0*w**4. What is the third derivative of g(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m. Suppose -2*u - 4*d = 2, u - 6*u = -d - 28. Suppose 2 = f, -13*n + 8*n = -f - 73. Solve -u*r = -m*r + n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*1*sqrt(17) + 5 - (6*4*(sqrt(272) + 1))**2.\nAnswer: -157243 - 4588*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -12371788.\nAnswer: 1237178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**18*w)**(-1\/3)*w**(20\/9)\/w*w**27\/w*w*w*w assuming w is positive.\nAnswer: w**(212\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3 and 8\/51458831.\nAnswer: 154376493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 0.0304, -0.1, 1\/37, 0.4 in decreasing order.\nAnswer: 0.4, 0.0304, 1\/37, -0.1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - (-1 + -6 + 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 73. Let l be ((-9)\/6)\/(z\/(-2)). Put l, -4, 5, -5 in descending order.\nAnswer: 5, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from oxxoocxo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 9350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**8\/336 - u**5\/12 + 3*u**2\/2 + u. Let l(b) be the first derivative of c(b). Find the third derivative of l(k) wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 20*x - 13. Let c be h(-8). Let t = c + -97. List the prime factors of t.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 21*x + 33. What is w(-22)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -279 (b) 1 (c) 0.5 (d) 4\/7 (e) 2 (f) 39 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 3*s = 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:33 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 23 = -33. Suppose -i*x = -2*c, 0*x - 5*x + 4*c = 10. Let s be ((-1 - 35) + x)\/(638\/(-29)). Is 2 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86170299 to the nearest integer?\nAnswer: 9283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 6*u**2 - 4*u + 4. What is the remainder when i(-7) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (227*x + 232*x + 162*x)*(-x**2 - 5 + 5 + (x**2 - 5*x**2 + 3*x**2)*(1 - 1 - 2)) to the form v*x**3 + i*x + t + g*x**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 55*u**3 + u + 56*u**3 + 1 + 3*u**2 to a*u**2 + i*u + b*u**3 + t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012004 is divided by 2141.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = 5*c - 3*b, 2*b + 2 = 4*c - 280. Suppose 2*j - 4 = 5*a - 2, -5*j + c = 4*a. What is the lowest common multiple of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*w = 242*w + 22. Let r = 6 - 26. Let i = -19.9 - r. Which is bigger: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 27?\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -141241729.\nAnswer: 42372518.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27819707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -659, -2566, -5503, -9272, -13675?\n\"Answer: 33*f**3 - 713*f**2 + f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*y, 692 + 1408 = 3*n + 3*y. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*b = -s, 2*b - 7 = -3*s. Suppose -g + 29 = 2*i, -i + s*g = -2*g + 13. What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 14. What is the second derivative of 6*c + 16*c**2 - s*c**2 + 5*c wrt c?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/14*(-144)\/(4032\/(-56)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/6 + 9*c**2\/2 + 512*c. Let f(v) = -2*v**2. What is f(m(u))?\nAnswer: -8*u**4 - 72*u**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - (-2)\/3. Let b = 2 + f. Suppose 0 = l + b - 7. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -26\/4863?\nAnswer: -26\/4863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563655 = -5041*j - 2342*j + 403518 for j.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -0.2, -776\/2261?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3935.\nAnswer: -3\/3935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 34 + 592. Let t = -147 + y. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-746*i**2 - 1160*i**2 + 2163*i**2)*(i**3 - i + i + (i**3 + 3*i**3 - 2*i**3)*(-1 + 5 - 2)) + 3*i - 3*i + i**5.\nAnswer: 1286*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 274*t**3 + 33*t**2 + 5*t + 150. Let j(x) = -411*x**3 - 50*x**2 - 7*x - 210. Calculate -5*j(c) - 7*l(c).\nAnswer: 137*c**3 + 19*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 20\/(-15) - (-68)\/6?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -783, -1, 1 in descending order.\nAnswer: 1, -1, -2, -5, -783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + -0.39. Which is the nearest to 1\/3? (a) -2 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 7*l + 33. Let v be d(11). Let f(g) = -3*g + 55. Is 22 a factor of f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-10)\/(-45))\/(285\/(-43605)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/((-9660)\/207)*64\/6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + 124533.\nAnswer: 124572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1 + -1)**2 - (-1*sqrt(76) + -1) - (0 + (0 + sqrt(76) + 1 - (sqrt(76) + sqrt(76) + 0 + 5)**2)).\nAnswer: 36*sqrt(19) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 f when four letters picked without replacement from {t: 2, f: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 604?\nAnswer: 845.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382, -729, -1078, -1429, -1782, -2137?\nAnswer: -2494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (0 - -1) + (-66)\/(-77). Suppose 0*f + 3*f = -2*r + 3, 4*f = -r - 1. What is the nearest to f in -2\/9, m, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/22*(-2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -u - 11 + 14, 0 = 3*w - 3*u + 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 11:27 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -363?\nAnswer: 145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 - 2)) + -26 + 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137857 + -57495. What is f rounded to the nearest 100?\nAnswer: 80400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 4 (c) -194 (d) -1\/2 (e) 104 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 8*o**2 - 10*o - 9. Let f be g(-7). Let a = f + -8. Solve -a*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.1038664 minus 95?\nAnswer: -116.1038664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -24. Let v be (-12)\/(-42) + 304\/o. Solve -v = 5*m - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 518 times -4\nAnswer: -2072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3941*n**3 + 7402 wrt n.\nAnswer: -11823*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12672.75 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - -1.7. Suppose 0 = -3*o + 5*d - 6, 418*o + 6 = 419*o + d. Put -4\/7, o, p in decreasing order.\nAnswer: o, p, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-66)\/(-99))\/((-1)\/(-6)). Sort j, -3, 10 in decreasing order.\nAnswer: 10, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1120 + -323?\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4552102 is divided by 287.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34940, 34939, 34938, 34937?\nAnswer: 34936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v**2 - 7*v**2 - 3*v**3 + 20*v**2 + 6 + 3*v. Does 19 divide j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(75)*-6 - (sqrt(75)*4 + 3 + sqrt(75)))*5)**2*-2 + -3.\nAnswer: -184203 + 10500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 150 = -4*x, 53*x = 48*x + d + 189. Solve 0 = -18*g + x*g + 126 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 102142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*t + 123 - 171 = -6*t - 580 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2977*b**2 - 1217 + 2420 - 1202 as h*b**2 + x + p*b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1546*y = -1643*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 5 + (-5 - -1). Solve d = -d - 6, -r + x = -d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17387*p**3 - 3312*p**2 - 37676794*p wrt p.\nAnswer: -104322*p - 6624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01969 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 19*h + 3. Let y be a(18). Let z be (3\/y)\/(4\/(-4)). Solve 0*t + 0 - z*t**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Suppose -2*f - 2*r - 35043 - 204961 = 0, 4*f + o*r + 480006 = 0. Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3162 - 3161.99993812. What is v rounded to 6 decimal places?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -344 - -337.5. What is x rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3876\/60 - 6\/10. What is the least common multiple of a\/288 + 106\/9 and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -61, -56, -49, -40, -29?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 + 2*r + 6. Let k(x) = 14*x**2 - 11*x - 33. Let i(f) = 2*k(f) + 11*u(f). Let j(m) = -12*m**2 - 3. What is i(j(p))?\nAnswer: -720*p**4 - 360*p**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 109*b**3 + 3751*b**2 - 6*b - 33. Differentiate f(a) wrt a.\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 6 = 3, 33*d = 3*h + 24 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (178\/(-772520)*186)\/((-8)\/7)?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67.938 + -68. What is m rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -0.409387.\nAnswer: 4.409387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*x - 3*w, 21 = 4*w + 5. Let s(d) be the first derivative of -1\/2*d**x - 1 + 2*d. What is the first derivative of s(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -74*b + 1114. Calculate k(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 670, 658, 648, 640, 634, 630?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35094 = -g + 121*g - 189654. What are the prime factors of g?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298 is divided by 567?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/2)\/(-4))\/((-161)\/46)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -12*g**2 - 2*g + 2. Suppose 0 = -21*c + 2 - 44. Determine y(c).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124520*g**2*v**3 + g**2*v + 4*g**2 - 7839*v**3 - 2*v + 14 wrt g.\nAnswer: -249040*g*v**3 + 2*g*v + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 2\/11 (c) 5 (d) -1 (e) 16 (f) 39 (g) -676\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -685, -175, 321, 797, 1247, 1665, 2045, 2381?\n\"Answer: -s**3 - s**2 + 520*s - 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + z - 3*z)*(0 - 1 - 2)*(-42*z - 5*z - 2*z).\nAnswer: 147*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -13099895\/44 and -297725 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -2, -14, -30, -50, -74?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 4. Let n be t(-3). Suppose -2*d + n = -3. Let v = 8 - 11. What is the third biggest value in d, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5575963, 11151950, 16727947, 22303960, 27879995, 33456058?\nAnswer: 39032155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v. Let p(d) = -11*d - 10. Let w be p(-2). Let k(f) = w*f - 18*f - 2*f - 20*f. What is k(t(o))?\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 32*s**2 - 57*s - 48. Let l be v(30). Solve 0*o - l*o - 37*o - 36*o - 5*o**2 = 0 for o.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1270, -9362, -31086, -73258, -142694?\nAnswer: -246210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132433 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, y: 3}. Give prob of picking 2 y and 1 q.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2. Let a(i) = i**2 + 7*i + 5. Let d be a(-4). Let o = -5 - d. Let l(z) = 1 - 1 - z**o. Determine k(l(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1070*j - 7943. Calculate m(-8).\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0*5*5\/25)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 3*b = -2*o - 29, 264*o - b - 17 = 259*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-66)\/(-8))\/(365\/40 - 9) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/25 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95301704*f**4 - 2*f + 202921951?\nAnswer: -381206816*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:31 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 1, o: 8, x: 2, k: 1, d: 2}. What is prob of sequence fjxf?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -4, -0.2, -17, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 573 + 3*m**3 - 8*m**3 - 573 + (3*m + 0*m - 4*m)*(2*m**2 + 3*m**2 - 4*m**2).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 0)*(3036*t**3 - 20*t - 27*t + 64*t - 17*t + 5908*t**3) in the form y*t**2 + w + n*t + c*t**3 and give c.\nAnswer: 26832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*i - 0. Let w(o) = 3*o**2 + o - 4*o**2 + 0*o**2 + 1 + 2*o**2 - 9*o**3. Give w(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*j = j. Suppose -5*z + 669 = p, j = -5*z + 8*z + p - 403. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(3\/4))\/k))**(32\/5)\/(k**(3\/2)*k*k*k\/((k\/(k\/(k**(-1\/6)*k)))\/k)) assuming k is positive.\nAnswer: k**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*o + 46 + 24, -4*y + 73 = 3*o. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 3*k = 5*c - 5*c - 26, 2*k + 6*k - 91 = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 132?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8780939429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14289643?\nAnswer: 613, 23311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 + 244*w - 3848 = 0. Calculate w.\nAnswer: -74, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzvpvxzhuuuxhv. Give prob of picking 2 u, 1 z, and 1 h.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - 3\/9*-3. Which is smaller: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2*sqrt(143)*-3 + sqrt(143))\/(sqrt(55)\/sqrt(5)*6))**2.\nAnswer: -637\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-3128)\/276)\/(4\/(-66))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 26*z**2 - 62*z + 35. Give r(24).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16512393\/2120 - 62305\/8. Let c = -18\/53 + z. Determine o so that c*o - 2\/5*o**3 + 0*o**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -21222, 1\/5, 2\/13, 1\/30 in descending order.\nAnswer: 1\/5, 2\/13, 1\/30, -21222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285 and 41496?\nAnswer: 207480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -3.1, 24, -12 in ascending order.\nAnswer: -12, -3.1, -0.5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7144 and 73343876.\nAnswer: 3572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**4 - 4*d**4 + d**4 + (1 - 2*d - 1)*(15*d**2 + d**2 + 5*d**2)*(d + 0*d + d) as h*d + w + a*d**4 + o*d**2 + l*d**3 and give a.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201722210 to the nearest integer?\nAnswer: 14203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 33*g - 120. What is z(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 2. Let v(d) = -d + 1. Let m(r) = -c(r) + 2*v(r). Let n(a) = -3*a - 3. Let x(o) = 20*o + 18. Let h(y) = 12*n(y) + 2*x(y). What is m(h(k))?\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10484*a = -10509*a + 860400. Is a a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 5*m - 1. Let z be -2 + 1 + -19 + 0. Suppose 15*p - 30 = 17*p. Let r = z - p. Determine v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-42)*21*-4*5\/(-300)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -46, 122, -241, 2 in ascending order.\nAnswer: -241, -46, -19, 2, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.011, -32, 2\/17, -5, 0.4, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + x**3 + 8*x**3 - x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbiqikkk. What is prob of sequence kq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - -0.5. Let j be (-4)\/22*(-25 - -26). Sort q, -6.2, j.\nAnswer: -6.2, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -501*v**2. Let k(z) = -88*z + 12. Let s(x) = 59*x - 8. Let y(u) = -2*k(u) - 3*s(u). Give g(y(p)).\nAnswer: -501*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 10*h**2 + 4. Let t be g(-10). Let d(z) be the first derivative of 0*z - 14\/9*z**3 + 2\/3*z**2 + 2 + 5\/6*z**t. Factor d(w).\nAnswer: 2*w*(w - 1)*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiybwdr. Give prob of picking 1 y, 1 b, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/5 - 22*r**3 + 496*r**2\/5 + 248*r\/5 - 480 = 0. Calculate r.\nAnswer: -2, 3, 4, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 8*k**2 - 8*k + 9. Let v be f(-7). Suppose -14 - v = -5*d. Let y be 9 - (7 - 162\/36*(-6)\/(-9)). Solve 31 - d = y*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 205058 - -478?\nAnswer: 205536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(32) + -2 + (3 + (0 + sqrt(2))*-1)**2)*4.\nAnswer: 8*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-12)*-3*2. Suppose 2*z = -3*f + 12, -20*z = -16*z - 2*f - 8. Factor 8*a**3 + 3*a + 7*a**z - 11*a**2 + 26*a**2 + 5*a**s + 2*a.\nAnswer: 5*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2*l = 23, -4*j - 8*l = -3*l + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 - w - 1. Let s(j) = -9*j**2 - 2*j - 2. Let m be 10 + (-1 - -1 - 3). Let n = m - 12. Let o = 8 - 6. What is n*r(f) + o*s(f)?\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 - 130. Let h(s) = s**2 - 10*s - 2. Let g be h(8). Let b = u - g. List the prime factors of b.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 124345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10500509 - -3?\nAnswer: 10500512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46115338?\nAnswer: 2, 23057669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-20) - (-4)\/(-10))\/2. Suppose 3*r + 20 = -4*i - 0*r, -3*r = -3*i + 6. Let w be i*-3*1\/(-6). What is the nearest to -2 in w, d, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - j + 2*j - 16 = 2*j, 2*j + 23 = -300*o + 305*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57291 is divided by 11455?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/5139?\nAnswer: -13\/5139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 14*z + 24. Let r be a(-14). Let s(u) = -34*u - 128. Let j be s(-5). Calculate the greatest common factor of j and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 45*f**2 - 8*f + 3. Let x(d) = -46*d**2 + 7*d - 2. What is -2*l(g) - 3*x(g)?\nAnswer: 48*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28015012.\nAnswer: 2, 23, 304511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 268 + -440. Does 12 divide c\/(-14) - (-8)\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 5713798167?\nAnswer: 5713798157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318 by -106.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 2*k - 3*x - 671, -3*k + 5*x = -517. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 126345706 and 9.\nAnswer: 126345715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**5\/54 - 17*g**4\/108 - 2*g**3\/9 + 87*g**2\/2 - 82. Let m(b) be the second derivative of f(b). Factor m(v).\nAnswer: -2*(v + 3)*(5*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345.6 * 589.5\nAnswer: 203731.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*(3 - -5). Suppose v = -4*n + 5*n. Suppose -65 = -5*o - 5*x, n = o - 2*x - 9. What is the highest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-2257*g**2 - 2251*g**2 + 3659*g**4 + 4508*g**2).\nAnswer: -3659*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39 + -3 + (2 - -1). Calculate the highest common divisor of k and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c. Let j(m) be the second derivative of -m**3\/6 - 5*m**2\/2 + 3*m. Let t be j(-10). Calculate r(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*3*2\/6. Suppose g = -11*o + 13*o - 116. Does 29 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/993?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/6)\/2*(-6)\/4. Sort -4, 5, k.\nAnswer: -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 28 = 2*c + 2*c, -3*v + 4*c = -44. Let q be (-1)\/((-2)\/5)*v. Suppose -2*m + 29 = 3*z, 2*m = -2*z + q + 2. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 20) + 74 + -66 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464 = 19*d - 1794 for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1022?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/10)\/(1*(-2)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*k + 26, -x - 26*k = -25*k - 8. Solve x*g - 4*g - 3*c = -21, -4*g - 33 = -5*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59066410 divided by -65.\nAnswer: -908714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -622, -631, -642, -655?\nAnswer: -670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110135901.4000239 - 110136150.4. Let s = -253.77 + 4.77. Let y = h - s. Round y to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 6*k**2 + 5*k - 9. Let x be m(-7). Sort x, 4, 0, -2.\nAnswer: -2, 0, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/75)\/((-3)\/(9\/(-1))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -537 + 977. Calculate the highest common factor of o and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 91*g + 446. Determine n(-86).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3147831 divided by -3?\nAnswer: -1049277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -9056784 greater than or equal to -9056786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 21 = 5*w, 44*w - 2*n - 14 = 40*w. Solve -35 = 3*j + w*a, 4*a = 4*j - 0*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -0.5. Let y = 6 - 8. What is the nearest to 0.2 in n, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 110*w - 4399. Determine l(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*i**3 - 203*i**3 + 1855 - 1884 - 38*i**3 as h*i + c*i**3 + r*i**2 + n and give c.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -21.\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1156 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12332?\nAnswer: 2, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -9163042\nAnswer: 9163037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 e, and 1 a when four letters picked without replacement from qeeggegeeegaeee.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**3 + 996*a**2 - 1508*a + 504.\nAnswer: 4*(a - 1)*(a + 126)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -131*n**2 - 114*n + 346. Determine y(3).\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 12, 0*t - t = -4*t + 4*x + 39 - 29 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1584524 (b) -1\/9 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 100\/(-30) - 2\/(-6). Let k(g) = -g**3 + 3*g**2 + 3*g. List the prime factors of k(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 2. What is the remainder when f(6) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -14. Suppose -5*b + 10*b - 15 = 0. Suppose -b*x + 2*x + 14 = g. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 15. Let n be m(0). Suppose 0 = -4*w - 5*t + n, -3*t - 5 + 2 = 0. Solve w*v - 2 = -z - 23, 4*v - 4*z = -36 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12 and -85\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = -54*m + 8*d - 3*d, 3*d + 28 = 4*m + 92 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 625\/14*h**2 + 0 + 25\/14*h**4 + 1\/210*h**6 - 7*h - 250\/21*h**3 - 1\/7*h**5. Let g(w) = 0. Calculate w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2041?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.183 - 0.017. Let z = 7 + m. Suppose 5*r + 5*w - 20 = 0, -2*r + 0*r + 2 = -4*w. Which is the nearest to z? (a) -4\/9 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2346 - 967. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -1cb003?\nAnswer: 1cb007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 33 = 27 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52068652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 6*z**2 - 8*z - 3. Let j be g(-5). Let n = -22 + 34. Suppose -2*m - 2*l + 4 = -12, 3*l + n = 0. What is the highest common divisor of m and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + -11582652?\nAnswer: -11582667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 0 + sqrt(343))**2 - (sqrt(35)\/sqrt(5) + sqrt(7) + -5)) + sqrt(63)\/(sqrt(18)\/sqrt(2)) + 3.\nAnswer: -sqrt(7) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 303\/10 - 61\/2. Which is the nearest to 5? (a) k (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - v - 4. Let g be q(-2). Suppose y + g*y - 360 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 22.99. Let j = 0.51 + d. What is the nearest to 2 in -2\/13, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.1294 hours in milliseconds?\nAnswer: 1472865840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epfbssk. What is prob of sequence ke?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*(632\/20 + 4)\/2. What is the greatest common factor of 2403 and h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t = -66. Let x = 26 + t. Suppose -5*k = c - 55, c - 6*c - 73 = -4*k. Calculate the highest common divisor of k and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/6)\/((-14 - -11) + 2)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28833338 times -3\nAnswer: 86500014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1447026.285+596\nAnswer: -1446430.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-29 + 38 + 2\/(-8)*38)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 527019.5568 to the nearest 10.\nAnswer: 527020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 2*k + 2, 5*s - 4*k - 44 = -54 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1271707254 and 2.7174.\nAnswer: -1271707251.2826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 181226 (base 11) to base 10\nAnswer: 279780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**3\/6 - 15*i. Let c(d) be the first derivative of 3\/2*d**2 + 2 + 0*d. Determine c(b(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a + 5. Let c(k) = -k - 6. Let y be c(-1). Let r(l) = 7*l - 4. Calculate y*r(n) - 4*s(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/72*9\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(0\/(-11))\/(2\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -69. Let n(v) = -6*v**2 - 56. Let h(w) = 11. Let g(o) = 5*h(o) + n(o). What is g(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t + 4. Let k be w(0). Suppose -4*u = k*y - 100 + 24, -y - 2*u = -20. What is the highest common divisor of 126 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**3 - 14028*r**2 + 8413*r + 5610 = 0. What is r?\nAnswer: -2\/5, 1, 2805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 10. Let s = 10.857 + 0.043. Let t = s + -11. Which is the third biggest value? (a) p (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3296059754 take away -0.08?\nAnswer: 3296059754.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 2, 1 in increasing order.\nAnswer: -98, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101690 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, -1025 in descending order.\nAnswer: 12, -1, -1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1041 or 38526\/37?\nAnswer: 38526\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ostotto. Give prob of picking 1 o, 2 t, and 1 s.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 35*p - k, -4 = p - 1043*k + 1045*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 10.16. Let l = z - -0.27. Let g(d) = d**2 + 3*d - 52. Let y be g(-9). What is the biggest value in y, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aa8598 (base 16) to base 15\nAnswer: -eab315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1343\/5 - -269. Sort r, -3\/7, 7\/6 in descending order.\nAnswer: 7\/6, r, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.1 (c) 14 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4 + 7 - 10. Let t = -9 - -10. Let c(p) = -2*p + 3. Give t*c(k) - 4*j(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 24\/(-9))*((-55)\/22 + (-2139)\/(-1023)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 385\/9. Which is the closest to 3? (a) -6 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 692076704*t**4 + 397502018*t?\nAnswer: 8304920448*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, b: 1, m: 2, z: 2}. What is prob of sequence zb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 8*o - 4. Let r(d) = 9*d**2 - 24*d + 11. Let u be 4\/(16\/(-22))*-2. Let t(i) = u*j(i) + 4*r(i). What is the second derivative of t(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -3.05007.\nAnswer: -6.05007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0098897 rounded to four dps?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0.99. Is u at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/16 - 11)\/(7\/154).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 + 61. Let b = 67 + y. Is b + 0 - 3*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/3 - 3)\/(16\/(-24)). Let m(k) = 731*k**2 + k - 5. Is m(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13210232 (base 4) to base 10\nAnswer: 31022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5261.\nAnswer: 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1179 or 1181?\nAnswer: 1179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 2355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62348 divided by -1417.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s + 2. Let a(r) = -r**2 + 6*r + 6. Let p be a(6). What is the tens digit of m(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1285*h**3 + 514*h**3 + 537*h**3.\nAnswer: -234*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**6\/5 - f**4\/3 + 7*f. Find the third derivative of j(z) wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129861 and 99?\nAnswer: 1428471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 3*b**3 - 9*b**2 + 9*b**2.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3444*s - 20 = -3439*s - 5*r, 5*r - 21 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75339 (base 12) to base 9.\nAnswer: -254550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 741785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195583279 to the power of 1\/2, to the nearest integer?\nAnswer: 34577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10608629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.26 + 0.04. What is m rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-2\/7))\/(v\/(v*(v*v\/v**(-14))\/v)))**(11\/7))**20)**(-9\/4) assuming v is positive.\nAnswer: v**(-56430\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799313 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fafd when four letters picked without replacement from {f: 5, i: 5, a: 7, d: 1}?\nAnswer: 7\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:57 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212*g**6 - g**2 - 15*g wrt g.\nAnswer: -25440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-26880)*84)\/((-2)\/128).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 6*h**2 + 4*h - 5. Let k be d(-5). Which is smaller: k or -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11523883?\nAnswer: 7, 47, 35027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5321877*w**3 - 2*w**2 + 467*w + 1565?\nAnswer: 31931262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234357 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f = -8. Let y be (f*4\/(-152))\/(-2). What is the nearest to 2 in y, 8, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11137950 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 4)*(2*r**2 - 5*r**2 - 3*r**2) + (21*r**2 + 0*r**2 - 12*r**2)*(-4 + 3 - 1 + 4 - 3 + 1 + (-5 + 2 + 5)*(-6 + 5 + 2)).\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert 16431543 (base 7) to base 4.\nAnswer: 12013232013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35127652, -35127649, -35127646?\nAnswer: -35127643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4 + (10 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (3 - 5 - (-3 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**2 - 1666335*m + 3332650 = 0.\nAnswer: 2, 333265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + sqrt(176)\/sqrt(4) - sqrt(44))*1 + 2.\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0)**(-42)\/(((c**1\/c)\/c)\/c)**(-29) assuming c is positive.\nAnswer: c**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1020, 4078, 9170, 16296, 25456, 36650, 49878?\nAnswer: 65140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-120) - (-28)\/(-70)*3\/(-2). Factor -o + f*o**3 - 4\/3*o**2 + 6.\nAnswer: (o - 3)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-84)\/27 - -1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2237 + -1424.7763. Let f = a - -1320.9. Let x = -104 - f. What is the third smallest value in -0.1, 0, -0.3, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35692 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -56351.03 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.27721um in centimeters?\nAnswer: 0.004227721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 77*k - 7. Let l(h) = -2 - 7 - 9 - 38*h + 2 + 19. Calculate -5*l(j) - 2*n(j).\nAnswer: 36*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 18*q**2 - 24*q - 317. Determine m(-15).\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21743 (base 10) in base 8?\nAnswer: 52357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p + 4. Let d(t) = -t - 5. Determine d(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 - 3499*b**2 - 1345*b + 10*b**3 + 1345*b.\nAnswer: 4*b**3 - 3499*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.204*-4.8.\nAnswer: -0.9792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*i**3 - 53*i**3 + 28*i**3.\nAnswer: -101*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 11*j**2 + 2*j + 8. Let p be f(-12). Suppose -c + p = r, 260 = -2*c + 4*c + 4*r. Calculate the highest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3 + 11. Let a = x + 14. Suppose 5*l - 4*c + 27 - 229 = a, 2*l - 5*c = 91. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + 14 + -3 - 2 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 129631441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/423, -305.8799, 0.5 in decreasing order.\nAnswer: 0.5, -2\/423, -305.8799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 6*c + 66. Determine f(-9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465204 is divided by 4611?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-40.1.\nAnswer: 721.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -9?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 4*n - 38 + 24 to the form m + v*n and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.921951 years to millennia.\nAnswer: 0.001921951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0562*5\nAnswer: -0.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 835 + 765. Round l to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158 by -158.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2954, -5867, -8780?\nAnswer: -11693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -77 (b) -3 (c) -0.3 (d) 0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 720100 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 12*w**2 - 31*w + 6. Let y be s(-14). Let b = y + 6. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-116)\/(-420) + ((-16)\/14 - -1). Let a be 2 + -1 + 8\/4. Suppose 0 = 2*o + 4, -s - a*o + 1 = -4*o. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btq when three letters picked without replacement from {b: 2, g: 4, q: 1, t: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f + 9. Let i be w(5). Let y = i - 14. Determine z, given that -16*z**3 + y*z**5 - 16*z**2 + 13*z**5 - 104*z**4 + 124*z**3 + 7*z - 23*z = 0.\nAnswer: -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(450)\/(sqrt(20)\/sqrt(2)) + 1 + 3.\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69.4 and 2.\nAnswer: 138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -1\/90*l**6 + 4\/3*l**3 - 12*l + 0 + 6*l**2 - 5\/36*l**4 - 1\/10*l**5. Factor k(f).\nAnswer: -(f - 2)*(f + 2)*(f + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b + 3. Let c(i) = -5*i + 5*i - 4*i + 2*i - 1. Calculate 5*c(q) + 2*k(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -78*n + 5. Let i(w) = 80*w - 4. What is 2*i(c) + 3*m(c)?\nAnswer: -74*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -4, 24809, 2 in descending order.\nAnswer: 24809, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 17*x + 7. Let m(o) = o**3 - 55*o**2 + 451*o - 61. Let w be m(45). Determine c(w).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (12 + 1 + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -8 (c) 280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 2\/3, 0.7, -38?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 2 - 2 - 2*z + z**2 + 2*z + (0 + 0 + 2)*(z**2 + 0 + 0) + 9*z**2 - 133*z**2 - 48*z**2.\nAnswer: -170*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*w + 62 = -10*w + 812. Solve 18*l + w = 2*f + 22*l, -3 = -5*f + 2*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3422 - 21433?\nAnswer: -30410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2971, 1\/5, -0.2, -3\/4 in decreasing order.\nAnswer: 2971, 1\/5, -0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/3)*g**8)**(-24) assuming g is positive.\nAnswer: g**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2 and 24\/348935.\nAnswer: 697870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 5)*(-3*x**2 - 6*x**2 + 12*x**2).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 108\/(-100))\/((-6)\/((-750)\/325))\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 70.49. Let u = f + -1.89. Which is the fourth biggest value? (a) u (b) 0 (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1214 = -4*p - 3098. Let h = p - -400. Let l be h\/(-8) - (-5)\/20. Calculate the greatest common factor of l and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 + -0.18. Let l = -0.09 + p. Let q = 716 - 715. What is the third biggest value in l, -0.06, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k**3 - 751 - 723 - 20*k**3 + 1474.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (138\/(-5))\/((-27)\/180). Suppose -h - 144 = -8*k. Suppose -b - 4*o + k = -59, -b + 84 = -4*o. Calculate the highest common factor of b and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*4\/(24\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178251061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in -4, 3, -3, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = -2*y, q = -5*y + 2*q + 11. Let k = y + 79. Does 29 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42556?\nAnswer: 2, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 12. Let g be b(7). Suppose -n + 1 = -1. Let a be (1\/(-2))\/(n\/(-12)). Solve -5*p = 5*v, a*v = g*v - 4*p + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85058487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 2, j: 6, l: 3, t: 4}. Give prob of sequence ty.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*u - 7, -2*g - 2*u + 5 + 5 = 0. Let t = 0 + 0. Let z = 18 - 15. Solve 4*m - 5*o + z = t, 4*m + 6 = g*o - o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -8.03. Let r = -562 + 562.84. Let f = d - r. Round f to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1264908 divided by -27498.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.919 + -0.919. Let i = 5.6 + -6. Which is the closest to 0.1? (a) 2\/23 (b) i (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 1. Let z(g) = 51*g + 20. Let j(s) = b(s) - z(s). Suppose 0 = 28*l - 22*l + 42. Is j(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15000*u**2 - u - 2. Let d = 1 - 3. Let z be n(d). Round z to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -13*a + 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 23 + 0*x + 3*x. Suppose -759 = -2*o - 753. Suppose 1107 = o*d + 1125. Let r(b) = -2*b - 8. What is d*c(h) - 17*r(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**2 + 3*f + 4. Let s(d) = -d - 1. Let t(l) = 2*s(l) + u(l). Let a be t(2). Calculate the common denominator of (1\/2)\/(a\/(-496)) and -18\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 10648*y + 74494. Determine z(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 107 - 109 = 0. Let g(b) be the second derivative of 0 + 3*b + 0*b**3 + 3\/50*b**5 + 3\/20*b**4 - 1\/50*b**6 + 0*b**j. Let g(v) = 0. Calculate v.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -7*n**4\/6 - n**3\/3 - 7*n**2 - 94. Let m(a) = -3*a**2 - 14. Give x(m(j)).\nAnswer: 84*j**2 + 390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(1 - 0))\/(-2). Suppose -2*g + 122 = 5*b, -g = -z*b - 30 - 42. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 197*v + 4*v**2 + 388*v - 188*v. Suppose -3*i = -2*f + 6, f + i = -f - 10. What is t(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2 + 91500682*a - 2093093701616281 = 0.\nAnswer: 45750341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 + 3 = 0. Sort -5, -1, b in descending order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.39? (a) 15 (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351168\/(-3968)*(-2)\/(-3)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 3*o - 1. Let w(f) = -f - 2. Let g be w(2). Let r be p(g). Suppose -r*i = i - 1036. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825)*2*-1)\/(-6*sqrt(147)*-3).\nAnswer: -5*sqrt(11)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1058 + -1057.9. Which is the closest to p? (a) -2\/13 (b) -1\/8 (c) 254\/3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 332*v + 13778.\nAnswer: 2*(v - 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 58, 171, 340, 559, 822, 1123, 1456, 1815?\n\"Answer: -q**3 + 34*q**2 + 18*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165506 + 165520. Let q = -3 + 5. Calculate the greatest common divisor of q and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(-3)))**(-10)*o**5\/o**(-7) assuming o is positive.\nAnswer: o**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14939 is divided by 3734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -272, -499, -634, -635, -460?\n\"Answer: 7*o**3 + 4*o**2 - 288*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2. Suppose 4*t = 5*l - 19, 3*t = -7 + 4. Let i(y) = 2*y - 3. Let d(n) = -5*n + 7. Let w(g) = l*d(g) + 7*i(g). What is v(w(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -18*((-52)\/30 - 12\/20). Let s = 61 - l. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 7*z + 3. Let g(x) = 9 - 8 + x + 3*x. Let j = -46 - -39. Let c(b) = j*g(b) + 4*l(b). What is the first derivative of c(i) wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 15, 7, -3, -15, -29, -45?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 2819*s + 194957. Determine j(-71).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000812 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 1806 + 0*w**3 + 0*w**3 + 1107 + 8*w**2.\nAnswer: -2*w**3 + 8*w**2 + 2913","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-2 - -2) - -2485. Let p = i - 1272. Let m be p\/60 + 1\/(-4). Solve v = -3*v - m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -25*r - 8 - 16. Is -111\/56 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(539) + -2))**2*4.\nAnswer: 4032*sqrt(11) + 78192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27841422 a multiple of 1506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16\/(-56) - (-73965)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 5:59 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 3*z**2 + 4. Let q be f(3). Let x be (21\/(-6) - -3)*q. Let y(o) = -o - 1. What is y(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*sqrt(44)*1*4)\/(4*2*sqrt(576)))**2.\nAnswer: 275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**(-6\/11))*q**(-1)*q**(-3\/4)*q**(-3\/8)*q*q*(q\/(q*q*q*q*q**8*q*q)*q**13)**(-1\/18) assuming q is positive.\nAnswer: q**(-59\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 7:06 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*i**3 - 29*i**3 + 1228*i + 5 - 948*i - 3 - 3793*i in the form b*i**2 + x*i**3 + k + y*i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f. Let a(b) = 13*b**2 + 24980. Give a(u(h)).\nAnswer: 52*h**2 + 24980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8667*i - 8648*i = 151805 + 18511. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9517 divided by 7.\nAnswer: -9517\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6288440 divided by 6288440?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*x - 417 = 0, -2*u + 4*u = 2*x + 262. Factor 2*d**2 - u + d + 141 + 7*d.\nAnswer: 2*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:21 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1145908136\/19 - 20007554578697\/331740. Let o = -1\/873 - x. Find the common denominator of o and 9\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/5 + 88*v**2\/5 + 84*v\/5.\nAnswer: 4*v*(v + 1)*(v + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2339938455390 and -4.\nAnswer: 2339938455386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2584 = 44. Suppose p = r + 142. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 5*g - 3*g)*(0*g - 5*g + 3*g + 0*g + g - 3*g - g - 2 + 2 + (-3*g + 4*g - 4*g)*(2 + 0 - 1)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 30*c - 22. Let k be p(14). Let l = 53 + k. What is the closest to -2 in 0, l, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/13 smaller than 1.97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 8. Let m be ((-1)\/(-5))\/(w\/15). Let f be (-3)\/(-4)*(-1)\/(-3). Sort m, f, 0.4.\nAnswer: f, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8069, 8076, 8091, 8120, 8169, 8244, 8351, 8496?\n\"Answer: g**3 - 2*g**2 + 6*g + 8064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((13 - 5) + 1 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/5)*l)\/l**7*l**(1\/2)*l**(-2) assuming l is positive.\nAnswer: l**(-87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {d: 6, x: 1, t: 3, e: 2, b: 5, f: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-882)\/(-3) - 2). Let v be 4\/(-22) + j\/77. What are the prime factors of v\/((-12)\/(-9)) + 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14041493*g**5*u**3 + g**5 - 25646558*g**2*u**3 - 3*u**3 wrt g.\nAnswer: -842489580*g**2*u**3 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 198*z**3 - 266*z**3 + 183*z**3 to the form d*z**2 + l*z + g*z**3 + u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w - w**2)*(1 - 1 - 2*w - 2*w + 2*w + w + (w - w - 2*w)*(6 - 4 - 3)) in the form x*w**3 + r + g*w**2 + d*w and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 33*b**2 + 317*b - 11. What is g(-9)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152764 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 + 15*c**2 - 15*c**2 - 1 + (-1 + 2*c**2 + 1)*(0 + 2*c + 0) + 4*c - c**3 - 4*c + c**3 + 0 + 0 - 8*c**3 + 7*c**3 - 14*c**3.\nAnswer: -7*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1344, -2829, -4606, -6819, -9612, -13129, -17514?\nAnswer: -22911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 2*o**2 - o + 2. Suppose 16 = -3*s - s. Let k(g) = -6*g**3 - 11*g**2 + 6*g - 11. Determine s*k(f) - 22*l(f).\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + 1300\/(-16). What is u rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-225))\/((-79)\/(-11376)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 3283, 39, 3, -0.1 in decreasing order.\nAnswer: 3283, 39, 3, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 27 + 272 = 5*m, 3*m - 187 = -5*g. What is the greatest common factor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - f + 554211 = 27*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/11 - 16*j**2\/11 - 19*j\/11 + 34\/11 = 0.\nAnswer: -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*b = 1045175, 0 = 16*b - 14*b - 12. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -8)*(-2)\/4*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 1, o: 1, e: 2, f: 2}. What is prob of sequence oot?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 26*b**3 + 190*b**2 + 47*b - 14. What is d(-7)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0002975 and 0.4.\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277973, -555954, -833935, -1111916?\nAnswer: -1389897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7957, 31805, 71547, 127183, 198713?\n\"Answer: 7947*h**2 + 7*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + -5 + 8 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57008*c**2 + 388*c - 8695091 wrt c.\nAnswer: -114016*c + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81419, -81245, -81057, -80849, -80615, -80349, -80045?\n\"Answer: h**3 + h**2 + 164*h - 81585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*q - 13, 0 = -5*o + q - 2*q - 8. Let m be (1 - o) + 0\/(-2). Solve 11 = 4*u + m*v + v, 4*u - 17 = -v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 897435 by -59829.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - -74)*(-30)\/(-8). Is h at most as big as 764\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-600)\/(-9))\/5 - (-8)\/(-6). Suppose 13*l - 2757 = g. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 1\/3*f**3 + 0*f**4 + 0*f - 2*f**2 + 1\/120*f**6 - 1\/30*f**5 + 0. What is the least common multiple of h(2) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322 - -336. Suppose 4*f + 5539 = 5*w, -9*w + h*w = 2*f + 5547. Is w a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 292 - 1*-1. Let k = -173 - u. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 21*z**2 + 28*z - 68. Is r(-24) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4\/5, 14, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-32)*c*c**(-1\/20)*c)\/((c*c*c*c\/(c**(2\/39)\/c)*c)\/c)**4 assuming c is positive.\nAnswer: c**(11821\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4177239.473 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*u - 4940 + 4796 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 79.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3554 and 7630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255560348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 - 9*s + 7. Let f(n) be the second derivative of -n**4\/6 - 5*n**3\/6 + 2*n**2 + 11*n. Calculate -5*f(z) + 3*g(z).\nAnswer: -2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1065)\/225 - (-6)\/(-10))*6\/(-4). Solve 0 = 4*n - 2*n + g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3062865 to the nearest integer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 1. Let u(f) = 6*f - 1. Determine -4*p(k) + u(k).\nAnswer: 6*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/298741 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39, -12, 15, 42, 69?\n\"Answer: 27*a - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -2\/7, 3, 1306?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37\/2 + 113\/6. Let n(a) be the first derivative of -r*a**3 + 1 - 2*a + 3\/2*a**2. Factor n(x).\nAnswer: -(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5124.\nAnswer: -1\/2562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvvuvvvv. Give prob of sequence vv.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = 2*s. Let u be (0\/(-2 - -1))\/s. Sort -4, 5, u in descending order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1002 - 3?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 11*g**2 + g - 5. Let a be p(11). Suppose 2*z = -a, -2*z = -y + 3*y + 1686. What is y rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 1. Let k(w) = -3*w**3 - 2*w**2 + 7. Suppose -11 + 2 = 3*q. Let u be k(q). Let x be 11\/(-5) + 14\/u. Calculate a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5\/21 + 2*l**4\/3 - 38*l**3\/21 + 50*l**2\/21 - 32*l\/21 + 8\/21.\nAnswer: -2*(l - 2)**2*(l - 1)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-1))\/(-45)*36\/(-6)*-18.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 25, -s + 3*q = -q + 17. Suppose s*b = -b + 8. Suppose -3*o - 59 = -2*u, 84 = b*u - 0*o + 2*o. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111110 (base 2) in base 12?\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51, -58, -65, -72, -79?\n\"Answer: -7*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -19. Let b(a) = -4*a**3 + 3 - 11*a**2 - 4 - 8. Let g(s) = 2*s**3 + 5*s**2 + 4. Give i*b(d) - 9*g(d).\nAnswer: -2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -1 - 1. Suppose -b = -21 + q. Factor -b*l - l**4 + 19*l.\nAnswer: -l**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n**4 + 5*n**2 - 6*n**2 + 3*n**2 + (0*n**4 + n**4 - 2*n**4)*(-23 - 26 - 80) as g*n**2 + z + r*n**4 + w*n**3 + s*n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (-5*sqrt(95)*2 - sqrt(95))) + sqrt(95))\/(sqrt(5) - (sqrt(405) - (sqrt(405) - -2*sqrt(405)))) + 4*(2*sqrt(2299)*-4 - sqrt(2299)).\nAnswer: -7511*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(2\/37)*v)*v*v**(-3\/5)*(v**(1\/4)*v)\/(v*v**(-18)) assuming v is positive.\nAnswer: v**(13761\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/660 + 53*s**5\/165 + 35*s**4\/44 - 8*s**2 - 27. Suppose m(l) = 0. Calculate l.\nAnswer: -105, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 18?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -28. Suppose 4*y = -y + c. Let z be 9\/(-1 + -2) + 4. Sort z, -5, y in descending order.\nAnswer: y, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1158, -1186, -1234, -1302, -1390?\n\"Answer: -10*f**2 + 2*f - 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1942, 7770, 17474, 31048, 48486, 69782, 94930?\nAnswer: 123924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 96*t**2 + t + 2. Let i be d(-1). Let v = i - 96. Let z be (v - 2)\/(10\/(-190)). Which is the third biggest value? (a) z (b) 4\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 301?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 27. Suppose 2*g = -x, -g = 4*p - 0*g + 1748. What are the prime factors of (p\/(-20) + -4)*5?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 1182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 126016661, 252033309, 378049959, 504066611?\n\"Answer: w**2 + 126016645*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2 + 6. Let v(y) = 8*y**2 + 5*y + 4. What is the units digit of v(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 - -245. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44326 (base 8) to base 6.\nAnswer: 222154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -20*s + 11*s + 12*s - 7. Let c = 5 + -2. Let m be a(c). Solve -5*l = d - 27, -5*d + m*l + 35 = 7*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*d**2*m + 4*d + 470*m wrt d.\nAnswer: 42*d*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 27*t**2 + 59*t + 37. Let s be q(-24). Let k = s - 198. Sort 5, 3, k in descending order.\nAnswer: k, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*t - 28, -5*t = -2*y + 167 - 132. Let q = 8 - 5. Solve 7*w + q + 4 = y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424644.\nAnswer: 2, 3, 11, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42098\/(-363847))\/(1\/(-66))?\nAnswer: 84\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2354282671998 + 4.\nAnswer: 2354282672002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1848 by -6.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m + 23*m**3 - 7*m**2 - 2*m - 4 - 22*m**3. Let o be a(6). What is the third derivative of 0*n + 0*n - 4*n**2 + 6*n**5 + 3*n**o wrt n?\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 21. Let d be b(-6). Solve -4*n = -d*n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 13*u + 28*u + 4 + 5 = 12*u, -5*u = 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 - (-6 + 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190889363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*q - 11, 4*z + 2*q + 7 = -21. Let k be 6\/(4*z\/(-24)). Solve 2*b - 8 = 0, k*c + 2*b + 7 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247 + -218.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/19, -5\/8326329, 3\/7.\nAnswer: -0.2, -5\/8326329, 2\/19, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-9)*1\/(-6)*-1. Which is the closest to -0.1? (a) 2 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780517503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*q + 7*q + 12. Let k(u) = 3*u**3 + 4*u**3 + u - 2*u**3 - q*u**3 + u**2. Suppose 0 = -4*i + 2*x + 6, -4*x = 5*i + 18 - 6. Calculate k(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 + 8*k**2 - 3*k**2 + k**4)*(38 - 11 + 20).\nAnswer: 94*k**4 + 235*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1996 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -5 (b) 39 (c) 1 (d) 4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1235871 and -0.9.\nAnswer: -1235871.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*p + 203433 = 11*p. List the prime factors of p.\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -1107, -2490, -4425?\nAnswer: -6912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:31 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1439655.66 rounded to the nearest one thousand?\nAnswer: -1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 5, l: 2, d: 1, b: 1}. What is prob of sequence libi?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20485.\nAnswer: 5, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/5 + 8*q**4\/5 + 22*q**3\/5 + 24*q**2\/5 + 9*q\/5 = 0. Calculate q.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3041 + 3041.1. Which is the closest to i? (a) -7 (b) 1\/4 (c) -2 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/10 and -14\/79?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/2 + r**2 + 5*r. Let q(n) be the first derivative of -5*n**3\/3 + n + 11. Calculate 5*q(z) - 4*v(z).\nAnswer: -z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1180*o**2. Let g(n) = -3*n**2 - 28 + 35 + 12 - 19. Determine h(g(y)).\nAnswer: 10620*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1\/(3\/(-3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.4 and 131.97.\nAnswer: -2428.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2121021 (base 4) to base 8\nAnswer: 23111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -113f75 (base 16) to base 3\nAnswer: -2010102120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*s + 10, -4*d - 6 + 16 = s. Suppose 2 + s = q. What is the units digit of 2*2\/q + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -56*l**4 - 83*l**3 + 1241*l**2 - 493*l + 54. Let z(x) = -2*x**4 - x**3 + x**2 - 3*x + 2. Let f(q) = -2*m(q) + 6*z(q). Let f(w) = 0. What is w?\nAnswer: -6, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a - 64. Let u be n(0). Let h = -4535 + 4536. Put -1, h, u, 4 in decreasing order.\nAnswer: 4, h, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t. Let z(j) = -7*j. Let w(s) = -85*s. Let b(d) = 2*w(d) - 25*z(d). What is b(u(p))?\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 11) in base 16?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/4, -4, -4.9, 44?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 2)\/((-5)\/(40\/4)). Suppose 24 = x*a + 12. Solve 0 = a*u + 9 - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120433289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*a = -33, 0*j - 21 = 3*j + 5*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z**2 + 2*z**2 - 4*z**2)*(-1 - 3*z + 1)*(-46*z + 4*z + 0*z).\nAnswer: -1386*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292258 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 5*v + 3. Let z be a(5). Suppose -z = -2*t - 6. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1375, 1376, 1379, 1384?\n\"Answer: w**2 - 2*w + 1376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1070*u**3 + 946*u**3 - 36 + 36.\nAnswer: -124*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2385 divide 10090935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65813, -65816, -65819, -65822, -65825, -65828?\n\"Answer: -3*p - 65810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27*46\/1035)\/(54\/(-20)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -380, -382, -386, -392?\n\"Answer: -v**2 + v - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18372448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/148 and -19\/14.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (-20)\/5 - -2. Let h(c) = c - 2*c**p + 2*c**2 + 0*c**2 + c**2. Let a be h(-2). Solve b - 13 = -o + 3*o, a*b + 2*o = -4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1749 and 18444.\nAnswer: 202884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -256, -582, -1050, -1666?\nAnswer: -2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.3, 0.3, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23502688772.8413 - -23496018891.35129596. Let c = v + 6669879.6. Let i = -1.89 - c. What is i rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/14)\/r)**18)**(-23) assuming r is positive.\nAnswer: r**(3105\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/12*(-8)\/(-39). Which is the third smallest value? (a) 1 (b) 68\/7 (c) s (d) -6 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 505753 + -505754. Let n(h) = h - 1. Let b(v) = 3*v + 4. Let d(i) = 3*i + 4. Let x(p) = -5*b(p) + 6*d(p). What is u*x(c) - 4*n(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.1 (c) -0.01 (d) -2\/17 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-2)\/(3\/(-3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j = -50*j - 45 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10*14\/(13608\/270)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*sqrt(1400) - sqrt(896)*-4)\/(-4*1*sqrt(800)*-3).\nAnswer: -4 + 41*sqrt(7)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33859.73 kilograms to nanograms.\nAnswer: 33859730000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/(8*8\/2304)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -443 or -458?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/27? (a) -5 (b) -4\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 2, g: 2, q: 1, u: 1}. Give prob of sequence lusq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*5 - (-36)\/(-12). Let m(v) = v**3 - 3*v**2 - 12*v + 31. Is 11 a factor of m(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 8 + 2*p**3 + 19*p**2 + 4 as v + g*p**3 + s*p + c*p**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.007 and 4996736753.\nAnswer: 4996736753.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*l - 25. Suppose -4*v = -14 - l. Solve 5*u + 4 = 3*o, -u - 3*o + v = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6553717.62 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807932 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69.9 - -70.9. Sort 0.06, p, -5 in decreasing order.\nAnswer: p, 0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 178\/3. Which is the nearest to -0.07? (a) 0.2 (b) g (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/5 + 44002*a\/5 - 484044001\/5 = 0.\nAnswer: 22001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**5 + 4740*o**4 + 823505*o**3 - 4740*o**2 - 823500*o = 0.\nAnswer: -150, -1, 0, 1, 1098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-750)\/7875)\/((-141)\/21))\/((-2)\/6).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1595 is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*y + 20*y**2 + 174*y - 2*y**3 - 349*y to the form j*y**2 + z*y**3 + o + g*y and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3 + 95*k**2 + 9*k - 94*k**2 + 1. Let j be 8 + -6 + 5 + -2. Let q(a) = 4*a - 1. Give j*q(c) - 2*w(c).\nAnswer: -2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - d = 2*v - 13, -4*d + 2*v = -14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 76971895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18\/71, 2\/3, 3\/4?\nAnswer: -18\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1089931+10298812\nAnswer: 9208881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15317.83 nanometers in meters?\nAnswer: 0.00001531783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {w: 1, j: 7, m: 1}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13248 and 21666?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.5. Let v(f) = f**2 + 12*f + 21. Let h be v(-9). Is m >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/9 - 4\/6. Let k(g) = -g**3 - 8*g**2 - 8*g - 1. Let m be k(-7). What is the third derivative of 2*q**6 - q**m + q**6 + x*q**2 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110 at least -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**2 - 12*n + 3. Determine r(-4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*g + 207*g - 650*g + 216*g.\nAnswer: -73*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -37*c - 36. Let t be o(-1). Let g be 6860\/45 - (t + 20\/(-36)). Calculate the greatest common divisor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/(-231)*147\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -10*j - 91. Let i(a) = -5*a - 52. Let k(l) = -7*i(l) + 4*z(l). Let p(o) be the second derivative of 16*o**3\/3 - 2*o. What is k(p(q))?\nAnswer: -160*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 + 0.934558.\nAnswer: 40.934558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -50, -76, -102?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 73496, 73495, 73494, 73493, 73492, 73491?\n\"Answer: -f + 73497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 743482909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = 2*c, -4*c - 20 = 4*y. Is (y + -3)*(6 + -5) - -1594 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:25 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/96*0)\/(-3 + 5). Solve -3*c + r*c = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1649\/(-194)*-8*5\/(-20).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(11)*-1 + (4 + sqrt(44)\/sqrt(4))**2 + 5.\nAnswer: 32 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/(-510))\/(2 + 90\/(-25)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9585 + -3027. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 22*o**3 + 9*o**3 - 4*o**3.\nAnswer: 22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 8*a**3 + 7*a**2 + 11*a**3 - 8*a + 8. Calculate g(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2742779.206 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 356 = -3*o, g - 1 = -0*g. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2246.\nAnswer: 2, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 657\/1672814 or -1?\nAnswer: 657\/1672814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z*z**(2\/7)*z*z)\/z*z)\/z))**7\/(z**8*z**(-16)))**(-23\/3) assuming z is positive.\nAnswer: z**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 684 + 1428. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2955?\nAnswer: 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2716 and 313458313.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0 - 1\/12*b**4 + 4*b + 0*b**2 - 1\/6*b**3. Find j, given that f(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 342, 329, 316?\n\"Answer: -13*c + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g**2 - g + 7*g**3 - 5*g**2 as v + h*g + j*g**2 + f*g**3 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from qqqqqtqqqototoqqqqqt?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - (-80)\/6. Let d be (10\/(-4))\/(9\/(-1602)). Suppose 5*n + 120 - d = 0. Calculate the greatest common factor of r and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 178672*m + 178671.\nAnswer: (m + 1)*(m + 178671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 1\/24*p**4 - 8\/5*p**5 + 0 + 5*p - 7*p**2 + 0*p**3. Find the second derivative of m(r) wrt r.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/2*(-1)\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 o when four letters picked without replacement from {v: 17, o: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -199, 0, -52, 453 in increasing order.\nAnswer: -199, -52, 0, 453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) + (-23)\/3. Let z = b + 21. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3) + (-1 - (0 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3123102 + -20322?\nAnswer: 3102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*j, 0 = -94*b + 98*b - 2*j - 24. Solve 2 = u + c - b*c, 4*c = 5*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 3. What is o(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*l**5 - 1108625*l**2 + 92925*l**3 - 136584*l + 555352*l - 2635*l**4 + 9982*l.\nAnswer: 5*l*(l - 35)**3*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714654171 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 354*o**2 + 351*o.\nAnswer: 3*o*(o - 117)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -12 - 3) + (5 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 89 = -4*j - 3*a, 2*a = -2*j - 30. Let d(c) = 2*c**3 - 202*c**2 + 202*c - 180. Calculate the smallest common multiple of d(100) and j\/(-8) + 2\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 7:33 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17076*f - 5460*f + 973367 + 1437985 for f.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, -1, 6 in decreasing order.\nAnswer: 6, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619313341?\nAnswer: 19, 23, 127, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*x = 60*x - 6. Is x less than -9\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**2 - 26\/3*p**3 + 0*p**5 + 0*p**4 - 3*p + 0 + 17\/60*p**6. Differentiate o(n) with respect to n.\nAnswer: 102*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.72836799 and 4.\nAnswer: -1.72836799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:39 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(80) + sqrt(192)\/sqrt(2))\/(1*sqrt(768)).\nAnswer: 17*sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127.5 + -100. Let i = l + -32. Let j = i - 3.5. Which is smaller: -2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-84)\/(-216)*(-10)\/21*-2.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 43 + 941 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvopepg. What is prob of picking 1 s and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 7. Let x be -12*(1 - (-4)\/n). Suppose -3*i = -r - 20, -x*i + 25 = r - 2*r. Solve -14 = -4*w + o, i*o + 13 = -w + 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51376 divided by 676?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:27 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 93 + 6*a**2 - 83 + 96 + 41.\nAnswer: 6*a**2 + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 3. Let j = -2.5 + y. Sort 1\/4, j, -4\/7.\nAnswer: j, -4\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-1))\/(6\/(62*-72)). Which is smaller: 746 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnknknkmnqskkkk. What is prob of sequence kks?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3832489631 to the nearest integer?\nAnswer: 61907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 q, and 2 v when four letters picked without replacement from vvvvqvvvqvdqqvdq?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Suppose 0 = 2*d - c*d + 2. Solve -5 = -4*l + q, l - d*q = q + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**4 - 24*q**3 + 80*q**2 + 96*q - 256 = 0. Calculate q.\nAnswer: -8, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 - 16762*t**2 + 16762*t**2.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -59. Suppose -560 = -16*a + o*a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(490) + sqrt(490) + 2*sqrt(490) - sqrt(490)).\nAnswer: sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58044*g**2 + 4078*g**3 + 58044*g**2)*(-2*g + g + 0*g - 1).\nAnswer: -4078*g**4 - 4078*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 56 - 14. Let j(r) = -7*r**2 + 6 - 7*r**3 + 17*r**3 - 2*r**3 - w*r**3. Calculate j(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/1680 and 65\/224.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 24*i**2 + 15*i - 150.\nAnswer: 3*(i - 2)*(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 9*c**2 - 5. Let n be u(-9). Let k be (-6465)\/2*8\/n. Let i = k - -35828. Round i to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**24*s)\/((s\/s**(1\/7))\/s))**(-1\/33) assuming s is positive.\nAnswer: s**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k - 674 + 2966. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tltt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 330, -227, -0.5 in descending order.\nAnswer: 330, -0.5, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 38 + 40 = 0. Let v = 21 + f. Let k(z) = -z**2 - 8*z - 15. Let y be k(v). Solve y = 2*l + q + 7, 0 = 5*l + 5*q + 18 - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -552*q + 2185. What is j(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42960 - (-1 + -2)*(-6 - -5). Suppose -r - w = 293043. Round r to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 4, 13 in ascending order.\nAnswer: -5, 4, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (636\/29406 - (-66)\/(-957))\/(-7 - -3).\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -0.16\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13\/126, -15, -0.5, 12?\nAnswer: 13\/126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -0.7 (c) 1 (d) 3 (e) 0.3 (f) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1, 3, -3 in decreasing order.\nAnswer: 23, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 22*c**2 - c + 5. Let p be w(3). Suppose -2*u = -4*d - 6*u + p, 2*u - 265 = -5*d. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 and -52\/551?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*r = -512, -195 = -k - 2*r - 19. Let z = 280 - k. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 13. Let t be i(6). Let k(r) = -4*r - 4 + t - 6 - 6*r - r**2. Give k(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7\/3 (b) 0.1 (c) 1\/15 (d) 5 (e) 0.3 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3.9. Let j = -3 + 3.01. Let k = j - 0.31. What is the second biggest value in k, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -966435557908 + 0\nAnswer: -966435557908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:37 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(1\/((-9)\/((-90)\/(-20))))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**6\/120 + m**4\/24 - 5*m**3\/6 - 3*m. Let t(x) be the second derivative of b(x). Differentiate t(h) with respect to h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*c - 262*c + 1120 = 0. Let r = 307 + c. Suppose 2*x = 3*x - 132. What is the remainder when x is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.188 + -0.212. Put f, -2\/11, 8.3 in decreasing order.\nAnswer: 8.3, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2308, 3942, 5550, 7120, 8640, 10098, 11482?\n\"Answer: -2*w**3 - w**2 + 1651*w + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = m - p, -5*p = 20. Let u = 8 + -7. Suppose -3*n - u = -s, -4*s + 2 = n - m. Sort 5, 4, s in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689615366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:00 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, 0.07, 3 in descending order.\nAnswer: 3, 0.07, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/5, 2\/3, 1661, -253?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.068.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 61 (c) 1.6 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Suppose -r*j + 0*j + 18 = b, 0 = 2*b - 6. Find u, given that -15*u**4 - 2*u**4 + 5*u**4 - 3*u**j - 12*u**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6369144 and 24415052?\nAnswer: 146490312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1e6c6b?\nAnswer: -1e6c66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2248487 micrometers to centimeters.\nAnswer: 0.00002248487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 33*s**2 - 283*s + 167. Give i(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (20 - -5)) + (11 - (-4 - -7))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 3.5. Let o = n - -3. Let q be (-1 + -2)\/(17 + -12). Which is the second biggest value? (a) o (b) q (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 886, 2175, 3816, 5815, 8178, 10911?\nAnswer: 14020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06981700968 rounded to 3 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -3, 89 in decreasing order.\nAnswer: 89, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -8. Let g be ((-305)\/(-7625))\/(6\/12 - (-2)\/(-20)). Let t = -0.1 - -0.3. What is the nearest to t in 0.5, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(108)*-3 - sqrt(3) - (3*sqrt(9))\/sqrt(3))**2 - ((sqrt(54)\/(sqrt(3)*-1))\/(sqrt(6) - -5*(sqrt(6) - (sqrt(18)\/sqrt(3) + sqrt(6)))))**2).\nAnswer: -23229\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 divided by 447237.\nAnswer: -181\/447237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - 704224\/(-76) - (-12)\/(-114).\nAnswer: 3, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q*q)\/(q*q**(-4\/9)\/q)*(q*q**2*q)**(-37))**37 assuming q is positive.\nAnswer: q**(-50468\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121732*c**3 + 49*c**2 + 1469*c wrt c.\nAnswer: -730392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 e, and 1 l when four letters picked without replacement from {p: 2, l: 1, e: 15}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 2823, 8587, 19305, 36507, 61723, 96483, 142317?\nAnswer: 200755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2374756*v**2 - 9*v + 60963819 wrt v?\nAnswer: 4749512*v - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6080 greater than -6080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 364552 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/959 not equal to -0.01539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 456, 440, 414, 378, 332?\n\"Answer: -5*r**2 - r + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*c - 2*o, 3*o + 26 = -5*c - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16950225*w**4 - 9*w**2 + 1074965 wrt w.\nAnswer: 406805400*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.989 + 2.91148. Round d to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29250862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-819)\/2)\/(-3) - (-21)\/14. Calculate the greatest common factor of 667 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10202, -39458, -87776, -155156, -241598, -347102?\nAnswer: -471668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 1470*s**2 + 2912*s + 35232.\nAnswer: (s - 1468)*(s - 6)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -19*t**8\/56 + 5*t**4\/12 - 24*t. What is the third derivative of h(s) wrt s?\nAnswer: -2280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9773356 (base 10) to base 5.\nAnswer: 10000221411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:30 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12948209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -27*(76\/(-48))\/19 + -2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m - 470. Determine t(-37).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0 + 1\/20*j**5 + 5\/12*j**4 - 1\/2*j**2 + 8*j + 2\/3*j**3. Give t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258597329.\nAnswer: 3, 11, 17, 23, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5\/30*18\/(-4)*12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 22 = -12*s + 4*x, 40 = -4*s + 14*s - 4*x + 8*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + -1*(sqrt(108) - -2*sqrt(108)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 81679763 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 72 = -3*s. Let m be (-3)\/(s\/8)*3. Suppose -5*v + 102 = 3*h, 0*v - v + m*h + 25 = 0. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-6)*-54*39\/(-27)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 158434?\nAnswer: 3485548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5126 + -5?\nAnswer: -5133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 7*f**2 - 7*f - 13. Let u(m) = 9*m - 3*m**3 + 5*m**3 - 9 - 4*m - 5*m**2 - 10*m. Suppose 3*s - s = -10. What is s*o(p) + 7*u(p)?\nAnswer: -p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352*m - 329*m = 1061611. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3039 at most 443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 17*d**3 - 4*d**2 + 2*d - 1. Suppose 0 = -4*b + 3*b - 4. Let l be w(b). Is (4\/6)\/((-18)\/l) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1495, -914, -235, 542, 1417, 2390?\nAnswer: 3461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-20) + (-8)\/(-5). Calculate the smallest common multiple of 20 and 4 + y + -3 + -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2827432*d*m*t**3 - 2*d*t**3 + 14*d*t**2 + d - 5*t**3 + 49*t wrt m.\nAnswer: -2827432*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53.6 and 0.5?\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - q**3 + 4*q**3 + (-2*q + 2*q - 3*q**2)*(-14*q + 3*q + 2*q).\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - i + 4, 2*p + 8 = -0*p + 2*i. Solve -o + 5 = -p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1928*q**3 + q wrt q.\nAnswer: 11568*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/((x\/x**(-3))\/x))\/x*x)\/x)\/(x\/(x*x*x\/(x**4*x))))**(-2\/53) assuming x is positive.\nAnswer: x**(12\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 8. Suppose 3*r - 1580 = 1534. Suppose -11048 = -2*l + d*u - r, l = -u + 4995. What is l rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317\/5 + -64. Let v be 0 - (-1)\/(9\/(-2)). What is the closest to -0.1 in 2, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -15*s + 15. Determine n so that -10*n**s + 50*n**2 + 43*n**3 + 35*n**4 - 31*n + 11*n + 52*n**3 = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*1\/2)\/(212\/1272)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v**2 - 8*v - 28. Let t be s(-3). Let a(q) = 1. Let z(g) = -12*g - 60. Let b(j) = 3*a(j) - z(j). What is the hundreds digit of b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -4. Is ((-129)\/(-5))\/o*5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 140. Determine t, given that 51 + 15*t**4 - 6*t + 6*t**m - 18 - 24 - 24*t**2 = 0.\nAnswer: -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 11:17 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 128, 807, 2666, 6305, 12324, 21323, 33902?\n\"Answer: 100*i**3 - 10*i**2 + 9*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 7*v**2. Let o(b) = -b**3 - 6*b**2 + 1. Let c be (-640)\/(-45) + (-4)\/18 + 8\/(-1). Calculate c*s(w) + 7*o(w).\nAnswer: 5*w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 12 - 5*h + 12)*(1 + 20*h - 1).\nAnswer: 40*h**3 - 100*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95195560531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 53. Calculate x(-4).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 7:18 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43479 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3135 is divided by 72 + -10 - -5 - (-3)\/(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 1 = -5. Suppose -9*g**n + 3 + 6*g - 21*g - 9 = 0. What is g?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -107090, -214680, -322268, -429854, -537438, -645020?\n\"Answer: x**2 - 107593*x + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 - 5*v + 3. Let r(x) = x**2 - 2*x. Let n(a) = 3*r(a) - s(a). Let w be n(0). Put -18, -2, w in descending order.\nAnswer: -2, w, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:05 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 248 + -276. Is -27 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52560 and 18450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = 284. Suppose 4*t - 73 = -4*w + h, 4*t + 41 = w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = -0*o. Let a(g) = o - 3*g - 5 + 2*g. Give a(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, u: 2}. What is prob of picking 3 l and 1 u?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1304.4 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 - -119. What is the nearest to 0 in 3\/2, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - 0 - -4 - -31 - (16 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 162 = 5*y + 56, 0 = -3*r + y - 74. What is the common denominator of 129\/r + (-14)\/(-21) and -16\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3232312 (base 5) to base 10\nAnswer: 55332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2\/4 + 1065*f\/4 + 3285\/2.\nAnswer: -5*(f - 219)*(f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (4450 - (-4)\/(-1)). Is ((g\/3)\/(2\/(-6)))\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 2. Let d(y) = -3*y - 6. Let k be 284\/3 + ((-8)\/6)\/(-4). Let b = 106 - k. Let p(q) = q**2 - 9*q - 24. Let c be p(b). Calculate c*d(l) + 7*f(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 46 - 51. Let s(w) be the second derivative of 0*w**4 - 2*w + 0 + 2\/3*w**3 + 1\/10*w**h + 0*w**2. Find the second derivative of s(a) wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264366 divided by -19.\nAnswer: 13914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4*k**4 + 6)*(-1 - 4 + 2) + 4*k**4 - 2*k**4 - 3*k**4 to t*k**4 + u*k**3 + m + c*k + f*k**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 281319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*m + 2*m + 2*m)*(0 + 0 - 2) + 0 - m + 0 - 2*m - 4*m + 5*m + 3 - 3 - 2*m - 10*m + 2*m - 9*m)*(2 + 2 - 2).\nAnswer: -46*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/698605 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.5326 and 1429.\nAnswer: -15051.0854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 11. Let l = -5 - -7. Calculate the remainder when 37 is divided by j - (l - (-4)\/(-1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u + 101*u - 4058*u**2 + 1363*u**2.\nAnswer: -2695*u**2 + 121*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.91 and 0.108467006056?\nAnswer: 1.018467006056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 605052 and 1029.\nAnswer: 605052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 9. Suppose -735 = -3*f + 135. Suppose 0 = -h + g + 85, -5*h + 171 + f = z*g. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*k = 75, 0 = 5*p + 3*k - 22 + 92. Let i(w) = w**3 + 12*w**2 + 12*w + 5. Give i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3573001mm in kilometers?\nAnswer: 0.0000003573001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-126)*(-28)\/(-12)*-21207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*z - 114*z + 59*z**3 - 115*z - 22 + 336*z - 5.\nAnswer: 59*z**3 - 5*z - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (182*(-110)\/(-18480))\/(2\/(-3))\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, -4, 1263, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 121658922 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006777 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 - 3*l**2 - 3*l**2)*(40*l**2 - l**2 - 8*l**2) in the form n*l**2 + y*l**3 + c + j*l**4 + r*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**5\/2 + 37*r**4 - 241*r**3 - 134*r**2 + 6501*r\/2 + 1089 = 0.\nAnswer: -3, -1\/3, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a43b (base 12) in base 3?\nAnswer: 220120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.055 + -0.055. Let l = -18 + v. Put l, 6, -0.5 in ascending order.\nAnswer: -0.5, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.42726 to 3 decimal places.\nAnswer: -0.427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-560)*-4*-6)\/((-48)\/100)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3474.788 centuries to months.\nAnswer: 4169745.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 17157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37840885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(176))\/(-6*sqrt(8)\/sqrt(2)) - (2 + sqrt(121)\/((1*sqrt(77) + sqrt(77) + sqrt(77))\/sqrt(7))))**2.\nAnswer: -20*sqrt(11)\/3 + 311\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7826 or 7836?\nAnswer: 7826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477983*s - 4*s**3 - 14 + 477983*s.\nAnswer: -4*s**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148846 - 74411 - 74435 + 11*c**3 + 9*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**5\/60 + g**4\/3 + 2*g**3 + 4*g**2. Let t be 6\/(-2)*8\/3. List the prime factors of i(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/10 and 23\/47?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 2, 5, -1\/8, 1\/3, -6.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.57 - 0.01.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11864114 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3359 + 33589\/10. What is the closest to 0.1 in -3, x, 1, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -6313, 0.3?\nAnswer: -6313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40552, 162168, 364844, 648580?\n\"Answer: 40530*j**2 + 26*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 > 21.112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 2303312113303?\nAnswer: 2303312113232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, -1 in increasing order.\nAnswer: -15, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 238\/4 + (-12)\/8. Let a = n - 85. Does 15 divide (a\/(-12))\/(1\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 3, -1\/2, 26, -1\/3, 2002?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6862 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/6)\/(3\/6). Suppose -m*r - 22 = -19. Let p be -1 + 15\/(r - -4). Solve 0 = 2*q + p*x + 6 + 8, 0 = -5*x - 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12843968029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372707.\nAnswer: 372707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2*3\/(-4074)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or -3?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*l**2 + 16*l**2 + 141*l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 101012000021022?\nAnswer: -101012000020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 1005*l**2 + 1136000*l + 10301760.\nAnswer: -5*(l - 392)*(l + 9)*(l + 584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/6)\/((-6112)\/3438)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-11) + -1*1. Let o = 11 + -18. Let i = 10 + o. Which is the second biggest value? (a) -4 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 3 + -14 - -4) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 466*k**2. Let q(u) = u - 31. What is z(q(c))?\nAnswer: 466*c**2 - 28892*c + 447826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 37 = l. Let a = l - 25. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 60 = -4*b, -4*w + 115 = -3*b. Suppose -31*q = -w*q - 78. Calculate the remainder when q is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 108. Suppose -33 = d*x - 264. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 6:08 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 3, t: 1, r: 1, n: 3}. What is prob of picking 1 r and 3 n?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - v - 3)*(-2 + 4 - 1) + 53374*v - 9267*v + 21623*v as x + f*v and give f.\nAnswer: 65729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c + 11 - 27 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 684*d + 6941. Determine u(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11233138?\nAnswer: 2, 7, 53, 15139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**4 - 2*j + 551. Let y(h) = -h**4. Let z(k) = f(k) - 4*y(k). Find the first derivative of z(l) wrt l.\nAnswer: -8*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 5. Let r(l) = 6*l - 26. Let t(h) = 11*c(h) + 2*r(h). Let s(z) = -2*z**2 - z. Let q be s(-2). Let y be t(q). Which is bigger: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.85585223 + 48879713.14414777. Let n = j + -48879713.50000002. Let s = 0.5 - n. Round s to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1793458253?\nAnswer: 197, 1433, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((2604\/189)\/31).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 = 9. Let u be (-5)\/(-1 + 0 + 0). Sort -3, u, c in decreasing order.\nAnswer: u, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12180 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*11\/2640*1\/(-1).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037324 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720 and 288?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -14. Suppose -19*f - 222 = 2*h, -282 = -5*h - 5*f - 327. Are h and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77022591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 53. What is the second derivative of -5*y - 9*y**3 + 29*y - 2*y**2 + 2*y**k wrt y?\nAnswer: -54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 26*k = 30*k + 3, 0 = -3*n - 2*k - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71958747.\nAnswer: 3, 7, 37, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1.9. What is the closest to y in -0.1, 3\/7, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2102*z + 1714 wrt z?\nAnswer: -2102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*d - 101*d = 0. Are d and -15\/896 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -536 - (-9)\/((-27)\/(-6)). Let d be 60\/9*n\/(-4). Round d to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - -6)\/(986\/198 - 5). Let g = -24 + 57. What is the greatest common divisor of g and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*h + 8, 3 = -2*h + 5. Let p(f) = 2763 + 2764 - k*f**2 - 5527. Let n(q) = 5*q + 1. Give n(p(i)).\nAnswer: -10*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6836831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) -0.1 (c) -1 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 3)*(4*d + 0*d - 5*d) - 1 + 1 - 2*d - 2*d - d + 2*d)*(719 + 1888 - 741)*(-2*d + 2*d - d).\nAnswer: 7464*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5)\/(-10) + (-25)\/10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*l + 100 = 0, 108 = 2*o + 2*l - l. What is the remainder when o is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 less than or equal to -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -181. Does 18 divide r*(-1)\/(5\/(-266))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4282, 4282, 4280, 4276, 4270?\n\"Answer: -x**2 + 3*x + 4280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**8\/168 - a**5\/60 + 4*a**3\/3 + 2. Let f(c) be the third derivative of t(c). What is the second derivative of f(d) wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 11. Suppose 3*d = -2 + h. Solve d*y + 2*y + 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.907 (b) -5 (c) 0.1 (d) -0.4 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(6 + 189\/(-35))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**(-1\/6)*k)\/(k\/k**(-1\/3)))**7)**(1\/2) assuming k is positive.\nAnswer: k**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 + 0.21. What is the closest to 2\/15 in 2\/21, -0.4, a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 2*a - 4. Let s be y(4). Let m(l) = 9*l - s + 3 - 2. Is m(3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*b**3 + 0 + 0*b**2 + 2\/5*b.\nAnswer: -2*b*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -260*j**2 - 1. Let o(d) be the third derivative of d**5\/60 - 9224*d**2. Determine o(u(f)).\nAnswer: 67600*f**4 + 520*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584 < 2628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31\/2 of a microgram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -189, -41, 177, 465?\n\"Answer: 35*f**2 + 43*f - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378271 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 54*o - 25543 = 0. Let c be -233717*1\/(-64) - 3. Let g = o + c. What is the common denominator of -43\/4 and g?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + (-4)\/(-2))\/2. Suppose 10*c + 584 + 116 = v. Let z = -480 - c. Round z to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, u: 2, m: 2, a: 4, f: 1, n: 1}. What is prob of sequence kaa?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 190\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)*k)**8)**26 assuming k is positive.\nAnswer: k**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3924 - -3936. Calculate the remainder when 199 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8692096.5 rounded to the nearest one thousand?\nAnswer: 8692000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -2262 + 2778. What is the remainder when i is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(19)*2 + 6*sqrt(475).\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1382 - 0.8618. Let h be 32\/63 - 2\/9. Which is the closest to h? (a) -2 (b) t (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l + 1. Let q be d(1). Let f = q + 24. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.05. Let q = -3.05 + h. Sort 0.5, 4, q in decreasing order.\nAnswer: 4, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24800, 99195, 223186, 396773, 619956, 892735?\nAnswer: 1215110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9199 is divided by 36800\/200*(1\/(-3))\/((-7)\/21)?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1611, 1, -17, -1, 4.\nAnswer: -17, -1, 1, 4, 1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**19*r\/(r**38*r))\/(r**25\/(r*r*r**(-1\/7))) assuming r is positive.\nAnswer: r**(-554\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*l**3 + 0*l - 2*l - 4*l - 6*l**3 wrt l?\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960517559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2795158 is divided by 1281?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u**(-4\/3)*u*(u\/(u\/((u*u\/(u**0\/u))\/u)*u))**(1\/19))\/(((u*(u*u*u**(-1))\/u)\/u*u*u**(-2\/13))\/(u**0)**48) assuming u is positive.\nAnswer: u**(2129\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {b: 3, i: 1, o: 2, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 187200142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16*g - 40. Let l be f(6). Suppose -l = -256*h + 242*h. Solve -5*v - 19 = -n, -4*v + n - 12 = h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95449127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 252, 569484, -3 in increasing order.\nAnswer: -3, 252, 569484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 5*c - 19193 = -19161, 0*b = 3*b + 2*c - 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.2, -3313\/5, -1, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-6))\/((-3)\/(-284)). Suppose -4*b + u + g = 4*u, 0 = -4*b + 2*u + 132. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**3 - 17*r**2 - 6*r + 13. Let o be l(4). What is the highest common divisor of 55 and o?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2059 and 51 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2390 at least as big as -236668\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 55. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5\/3 - 308*b**4\/3 - 8*b**3\/3 + 616*b**2\/3 + 4*b\/3 - 308\/3 = 0.\nAnswer: -1, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Let g(y) = y**3 - 4*y**2 - y - 1. Let m be g(t). Let n be (-11 + -1)*(-3)\/9. Sort n, 1, m.\nAnswer: m, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886350 - 248488 = 53*u - 484095. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -0*a - u - 189118 + 189136, -4*u - 8 = -2*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:10 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 9*f + f - 8*f to the form p + g*f and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.393523 and -372.\nAnswer: -372.393523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/125 and 41\/8425.\nAnswer: 42125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1114 + g**2 + 1114 + 1112 - 3340.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 + 12*s**2 - 45*s - 25. Is j(6) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31047*a**4 + 61619*a**2 wrt a?\nAnswer: 745128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3539683 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g + 12. Let n(c) = 2*c + 6. Let w(x) = -x**2 - 2*x + 69. Let v be w(7). Determine v*m(s) - 13*n(s).\nAnswer: -2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*j + 297*j = -165 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i + 2. Let h(a) = 27*a + 13. Let p(f) = -29*f - 11. Let d(z) = -2*h(z) - 3*p(z). Calculate -4*d(w) + 14*m(w).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, 1\/2, 0.4, 3 in decreasing order.\nAnswer: 3, 1\/2, 0.4, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-5 - 4))*(-2)\/(-4). Let z be y\/(-8 + -10) - 26\/(-6). Suppose 2*o - o - 299 = 2*l, 0 = z*l + 12. What are the prime factors of o?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + l + 25 = 0, -5*l - 45 = -4*y - 2*l. Let j(t) = t**3 - 5*t**2 + 8*t - 18. What is j(y)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*d + 6*d + 1, 4*b = d + 15. Suppose 2*z - 2*u + 98 = 0, 0 = b*z + u + 22 + 184. Let p = 10 - z. List the prime factors of p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 22. Let r be j(-6). Suppose -r - 6 = -5*d. Is ((-11)\/(-22))\/(d\/2036) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1. Let j(w) = -2*w + 23. Determine 5*c(m) + j(m).\nAnswer: -2*m + 28","meta":{"dup_signals":{},"source":"polynomials__add_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: What is the common denominator of -21\/1786 and -42\/95?\nAnswer: 8930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112960 and 1120?\nAnswer: 790720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -690, -1066, -1454, -1854, -2266?\nAnswer: -2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 2:51 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*x - 11*d + 14*d, 4*d + 4 = 2*x. List the prime factors of (-27 + x)\/((-1)\/30).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*q**3 + 25*q**3 - 3*q + 19*q**3.\nAnswer: 133*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 - 27*d + 47. Let h(i) = -i**2 - 13*i + 24. Let n(m) = -2*g(m) + 5*h(m). Let j be n(8). Calculate the highest common factor of j and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -25 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 18*t - 4*t. Which is the nearest to 0.2? (a) t (b) -2\/89 (c) -2 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3\/3 + 1230*k**2 + 228160*k + 1354240\/3.\nAnswer: 5*(k + 2)*(k + 368)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19155\/45)\/((-1)\/(-3)). Let i = t - 564. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24407847 by -9.\nAnswer: 2711983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llo when three letters picked without replacement from {w: 1, q: 2, l: 3, m: 6, o: 7}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40\/13, 0, 1, 5\/6, -4\/5 in ascending order.\nAnswer: -4\/5, 0, 5\/6, 1, 40\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -2\/7, -2, -0.9 in decreasing order.\nAnswer: -2\/7, -0.9, -2, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 94757586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -56 + (1 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 + -13?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1436, -2958, -4480?\n\"Answer: -1522*w + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59\/(-177))\/(2\/6)*-17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 205, 798, 1825, 3346, 5421, 8110, 11473?\n\"Answer: 10*z**3 + 157*z**2 + 52*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691*h**2 + 219*h**3 - 5189*h**3 + 694*h**2 - 1385*h**2.\nAnswer: -4970*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31872 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835209?\nAnswer: 3, 92801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*o - 2*o. Let q(w) = -1. Let n(y) = y + 3. Let z(s) = -n(s) - 3*q(s). Give z(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178115767*f**3 + f + 128511231 wrt f?\nAnswer: 1068694602*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -75, -1448, 1, 1.5, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(1 + 0 + 1*-3). Suppose -n*g - 94 = -3*k, 7 + 80 = 3*k + 3*g. What is the least common multiple of k and 22?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1780\/152 + (-2012)\/9557.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 18 = -2*n, 3*b + 1 = -9*n + 8*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 460 + -420. Calculate the lowest common multiple of 4 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -379*c**4 + 570*c + 114*c**4 - 76562*c**3 - 75 + 77930*c**3 - 1443*c**2 - 167*c**4.\nAnswer: -3*(3*c - 1)**2*(4*c - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 8016 - 8016.48591. Round o to two decimal places.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79089040 and 8.\nAnswer: 79089040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/5 + 17368*f**2\/5 + 83126*f - 86600 = 0. Calculate f.\nAnswer: -8660, -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1989987472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -5) + 379 + (-56)\/(-8). What is the highest common divisor of m and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/(((-4)\/48)\/((-2282)\/(-8)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 843533675 + -0.5.\nAnswer: 843533674.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*p + 7*p + 9550. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4399808 by 2199904.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p + 6. Is h(-6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 136544880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0886771 to three decimal places.\nAnswer: 2.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 121, 126, 141, 172, 225, 306, 421?\n\"Answer: g**3 - g**2 + g + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33031864 and -1.8.\nAnswer: 33031862.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140655 and 9.\nAnswer: 421965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 3. Let f(s) = s**3 - 8*s**2 + 2*s - 9. Let b be f(8). Give x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -28, -33, -38, -43?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-21))\/((-1)\/7). Suppose -4*k + o*k - 576 = -4*x, -4*k + 4*x + 576 = 0. What is the highest common divisor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*u - 3*u = -5, -13 = -3*o + u. Find the second derivative of r + r - 7*r - r**o wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 20 - 22)*(2*f - 4 + 4) + (-6*f + 0 + 0)*(-2 + 0 + 0))*((-5*f**2 + 3*f**2 + f**2)*(-2 + 0 + 1) + 2 + f**2 - 2).\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.35443um in nanometers?\nAnswer: 57354.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -27*q + 637. What is a(-13)?\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or 5150441?\nAnswer: 5150441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/17 (b) 29 (c) 0 (d) 45\/8 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1937fe (base 16) to base 13.\nAnswer: -45b365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -5. Let q = p + -10. List the prime factors of ((-26)\/q)\/(2\/5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 5:19 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673544 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkd when four letters picked without replacement from {k: 4, d: 2, v: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose 4*g = o*f - 48, 4*f - 120 = -4*g - 36. Suppose -f + 90 = 4*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/22 and 51\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -8)\/((-5)\/3)*(33 + -43).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*b + 38, b = l + 4*b - 5. Suppose 5 = l*o - 6. Solve 4 = -j - j + 2*t, 0 = 5*j + 4*t + o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/34))\/l)\/(l**13\/l)*l\/l**(-3\/2)*l*l\/l**(2\/49)*l assuming l is positive.\nAnswer: l**(-5473\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/7668 and -91\/16?\nAnswer: 30672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15815506 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2308593, 2308725, 2308857, 2308989, 2309121, 2309253?\n\"Answer: 132*p + 2308461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 136742577.\nAnswer: -136742576.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -6\/331, 0, 3\/7, -672?\nAnswer: -672","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -20, -470*l = -4*w - 466*l + 7104. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7071648 take away -26.2?\nAnswer: 7071674.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21035.9 nanograms to tonnes.\nAnswer: 0.0000000000210359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.019, -1, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 9)*(13 - (-3162)\/(-272)). Suppose -7*n + 2*n = -25. Solve -4*d = -u - n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/8 + (-2702)\/16*(-25)\/(-175).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/(-17))\/((308\/(-3927))\/((-60)\/45)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 71?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 - 11*f + 4. Let y(c) = 2*c**2 - 10*c + 3. Let k(d) = 3*l(d) - 4*y(d). Let a be k(-7). Let j = 8 - 8. Solve a = 4*g - j*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/7 (b) -0.3 (c) -3 (d) 1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(3*8\/(-1504)). Calculate the greatest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**7\/840 - x**6\/360 - x**5\/24 + x**4\/8 + 3*x**3 - 2. Let y(t) be the third derivative of k(t). Does 26 divide y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 0.154.\nAnswer: -0.00924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429418 is divided by 35709.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*d = 60*d + 720. Calculate the greatest common factor of 80 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196\/(-14))\/(-7)*-2*1*18\/(-888)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2571698 * -0.5\nAnswer: 1285849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26796*x**2 + 2*x - 68484 wrt x?\nAnswer: 53592*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + -0.5. Which is the biggest value? (a) n (b) 0.09 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 4:15 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is cbc - 1a?\nAnswer: ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = -s + 3*y, s - 2 = 2*y. Suppose 2*v = -s*v + 10, -5*q = -3*v - 275. Suppose 0*b - 2*b = -q. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(3 + 0 + 0)*((-2*n**3 - n**3 + n**3)*(-5 + 5 - 2*n) + 0*n**4 - 5*n**4 + 4*n**4).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.5. Let b = 6.8 - 8. Let v = b - i. What is the third smallest value in v, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 944 and 885?\nAnswer: 14160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013 is divided by 91.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1121, 3 in increasing order.\nAnswer: 3, 4, 1121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 divided by 291?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g**3 + 3*g**3 - 3*g**3. Determine t(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111010 (base 2) in base 9?\nAnswer: -622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Suppose -z*m - 5*l + 140 = 0, -3*m - 5*l + 32 = -2*m. Let p = m + -27. Solve p = -2*x + 4*x - 4*w - 4, 0 = -5*x - 2*w + 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1499 - -2120. Let t = f - 616. What is the remainder when ((-1)\/2)\/(2\/(-132)) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 662*d - 658*d + 11 = 0, -2*d - 1 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3475*i + 345*i - 72570 + 229070 for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40274712 divided by 108?\nAnswer: 372914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1300)*-1 + -2) + 1 + 3 + 2*sqrt(1300) + 2 + sqrt(1300)*-2 + -3)**2.\nAnswer: 1300*sqrt(13) + 32669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/7 (b) -4 (c) 78\/7 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45030079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138574760 is divided by 167.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d - 92. Let j be t(-24). Solve -3 = -j*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633505297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4593973.\nAnswer: 4593973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 233 in 0.3, 6\/5, -341, -0.4?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-1*(4 + -1))\/(-1). Let k be y - 3 - (-13 - -11). Let v be -9*((-13)\/k + (-32)\/8). What is the second smallest value in v, -3\/5, -8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3545973 years in decades?\nAnswer: 0.03545973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92116.34 decades to centuries.\nAnswer: 9211.634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 2*n - 12. Let v be k(-5). Find l, given that 0 + 0*l - 2\/7*l**2 - 2\/7*l**v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 8 - (4 - -3)) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3887\/15 - -259. Let d = 353549\/123090 - -1\/2238. Let j = 36\/11 - d. Which is the closest to 2? (a) j (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 2. Let w be 6\/8 - (-9)\/4. Let s(d) = -38 - 2*d + 37 + w*d. Give -2*s(i) + x(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 157*t + 1715. Calculate l(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -2 + 23 + 4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/4262 and -47\/8.\nAnswer: 17048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 20*r = -18. Let y be ((40\/r)\/2)\/((-174)\/18). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2195944 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2104 divided by -3.\nAnswer: 2104\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 12) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*w - 19*w + 116*w.\nAnswer: 47*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 7. Let x(l) = 5*l + 2. Let g(o) = -10*o - 3. Let n(f) = t*g(f) - 5*x(f). Differentiate n(d) wrt d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 36 + 43)*(-2*b**2 + 5*b**2 - 2*b**2)*(4 + 2 - 4) + 4 + 14*b - 18*b + 3*b**2 - 1.\nAnswer: 115*b**2 - 4*b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - z + 4, 3*o + 2*z = 50. Suppose 3*n + 3 = 1945*i - 1947*i, 3*i + 2 = -4*n. Calculate the highest common divisor of i and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10147857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkjjikijiijgjjjijngj. What is prob of sequence kngj?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 10) + 9 + -19 + 15 + 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72083072\/5110715 + -1622\/115. Let h = -3688567\/799938 + d. Find the common denominator of h and -1\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/6 - 3396\/(-72). Suppose -37*l + u*l = 130. Solve 4*q - l = 3*j, 2*j + 0*j + 9 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4 - 8. Suppose 0 = -5*a + p + 29, 3*p + 22 = a + a. Let k(q) = 4*q - 13*q + q - 8 + a*q. What is k(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -13, 13, 61, 137?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18436654 divided by 5.\nAnswer: -18436654\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 315 = -3*g. Let t be g\/(-13) - 4\/(-26). Solve -5*b + 25 = i, 2 - 17 = i - t*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -256, -328, -420, -538, -688, -876, -1108?\nAnswer: -1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(2*sqrt(11)) - ((sqrt(2)*-3)**2 + -5).\nAnswer: -13 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 8*g + 1246 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -6. Let v be 3 - u\/2*2. Suppose 0 = v*b + c + 1, 0 = b + 4*c - 11. Which is bigger: b or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/30*(-8)\/(-12) - (189 + -190).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4001 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 144, 0, -3 in descending order.\nAnswer: 144, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.27977 - -0.27976961472. What is t rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5\/16, 0, 2\/13 in descending order.\nAnswer: 5\/16, 2\/13, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(84)\/sqrt(4) - sqrt(21)))\/(sqrt(3) - (sqrt(3) - sqrt(6)\/(sqrt(2) + sqrt(10)\/sqrt(5)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1848 + -12994\/7. What is the common denominator of (-67)\/(-36) + (-1)\/(-4) and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18977031 is divided by 9488512.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106973957\/17416 + 42996\/7. What is the common denominator of 71\/1244 and k?\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*l - 5*u - 8 = 52*l, -5*u = 5*l + 20 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19116325 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*f. Let s be (4746\/(-452))\/(6\/(-134)) + 1\/(-2). Is s less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, a: 3, s: 3, m: 6}. Give prob of picking 2 a.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600501?\nAnswer: 3, 11, 31, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 194 = 36. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*j + 21, -4 + 0 = 2*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**20)**31)**(2\/101))**13 assuming g is positive.\nAnswer: g**(16926\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*s - 7. Let u = s - 20. Let c(r) = r**3 + 9*r**2 - 4*r + 1. Calculate the remainder when c(u) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -4, 7, 16, 23?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1 (c) -0.044678\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*y**2 - 75*y**2 + 23 - 51*y**2 + 148*y**2 - 138*y**2 in the form k*y**2 + b + s*y and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1201*y**3 - 16*y - 2420*y**3 + 1224*y**3.\nAnswer: 5*y**3 - 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*w - 48*w + 0*w - 9*w.\nAnswer: 78*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x**2 - 5*x + 5. Let c be j(7). Let t = c + 261\/2. Determine w so that -t*w**2 + 0 + w = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 911.2606 weeks?\nAnswer: 9185506.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12032 + 1111?\nAnswer: 13203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.35 + -0.15. Which is the smallest value? (a) 0.5 (b) 1 (c) j (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*(8 - 0). Let j(v) = -v. Let q be j(2). Sort q, x, -3 in ascending order.\nAnswer: -3, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16930 = 4*i - 5*v, 3*i = 46*v - 49*v + 12711. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000 (base 2) in base 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*f - 24 = 0, 0*b - 4*b - 2 = 2*f - 20 + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1 + 1 - 21*v - 17*v + 6 + 37*v. Give d(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-31))**27*((c\/(c*c\/c**29*c))\/c)\/c**(-2))**1 assuming c is positive.\nAnswer: c**919","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -11 (c) 0.2 (d) -19 (e) -5 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386119?\nAnswer: 386119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (3 - 3)) + -2 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2313a1 - 1425?\nAnswer: 22bb78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - 3*r - 93*r**2 - 783 + 787 as w*r + h + f*r**2 and give f.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/4 of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 9*s**2 - s - 10. Let v be b(9). Let w(d) = -14*d. Let g be w(-4). Let n = v + g. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(44)\/sqrt(4) - sqrt(11)) + (sqrt(11) - (sqrt(11) + 3 + -4)) - ((sqrt(99) + 1)**2 + 2 + sqrt(99) + sqrt(99) + -1 + (0 + sqrt(99))**2)) + -3.\nAnswer: -202 - 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j**3 - 6*j**2 + 2*j - 1. Let z(n) = -7*n**3 + 5*n**2 - 2*n + 1. Suppose 7*v + 378 = -2*v. Let o be 6\/v - 102\/21. Determine o*s(w) - 6*z(w).\nAnswer: 2*w**3 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*v + 7, 2*b - 5*v - 13 = -10*v. Let h(l) = -l**3 + 5*l**2 + 3*l - 1. Let p be h(b). What is the greatest common divisor of 216 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r - 1587 + 19 = 0. What is the remainder when 573 is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 - 24 = 0. Let k(n) = 6*n - 4. Let p be k(5). Calculate the smallest common multiple of p\/6 + (-3)\/j and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3775, 3712, 3649, 3586, 3523?\n\"Answer: -63*z + 3838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 1. Let n be 72\/(-18)*1\/2. Let x(f) = -f - 1. Let m(v) = n*r(v) + 2*x(v). Let l(t) = -3*t**2. Give m(l(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 5*r + 42. Let o(l) = l**2 + 3*l + 21. Let c(n) = -5*o(n) + 2*u(n). List the prime factors of c(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 3312 = -12*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*z - 4 - 21 = 0, 0 = f + 5*z - 25. Solve -6*w + 3*w - 3*y + 12 = f, 0 = -2*y + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = -78*t, -u - 7192*t + 7191*t - 5 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 + 955\/11. What is the second biggest value in 12, k, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 20, 40, 68, 104, 148, 200?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1561 - -2465. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/20? (a) -1 (b) 1408\/5 (c) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116 * -4344.\nAnswer: 503904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-264)\/(-704))\/(426\/32).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0111804719 to four decimal places.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6280436 and 61266228.\nAnswer: 54985792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 12. Let z = -14 - -18. Suppose 2*a - 121 = -a - z*g, 4*a - 136 = g. What is the remainder when a is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-30)*-6 + 2\/(-10) + (-180)\/(-3000)?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + 2*j + 3. Let i(h) = 39 - 16*h**2 + 32 - 61 + 13*h. Let m(z) = -16*z**2 + 12*z + 12. Let b(f) = -2*i(f) + 3*m(f). What is -2*b(q) + 11*d(q)?\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 2 - 4*z + z + 3 to y*z + r and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h + 21 = q, 4*q - 40 = 5*h. Suppose q*v + 4*c = 2*v - 6, 3*v + 3*c + 6 = 0. Is (-1)\/v + 129\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1041 - 593. Let t = 1163 - p. Let g = 714.99999503 - t. What is g rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115 and 40.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5921488 is divided by 2281?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*((-29928)\/1935)\/(-58)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1\/3, 2, -1.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o + 4*o**2 - 11*o)*(-4 - 3 - o - 11).\nAnswer: -4*o**3 - 72*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/11 - 10*g**2\/11 - 12*g\/11.\nAnswer: 2*g*(g - 6)*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.23344 years in decades?\nAnswer: 7.123344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 334255372 and 209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + sqrt(175) + 0 + 1 + sqrt(175))*3*6)**2.\nAnswer: 9720*sqrt(7) + 510624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-4 + 13\/2)*27\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, 1, -1, -290, 4, 23 in ascending order.\nAnswer: -290, -23, -4, -1, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + 2*d + 5*d)*(-2 + 10 + 1) - 6*d + d + 0*d)*(6*d - 5 + 5)*(-1 - 4 + 3 - 2 + 3 - 2 + (4 - 5 + 3)*(5 - 6 - 1) + 2 + 2 - 2 - 3 + 3 - 2 - 1 + 3 - 1).\nAnswer: -1764*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1314 and -37\/21.\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(1\/2))\/((m\/m**(3\/7))\/m))\/(m*m**(-5)*m*(m**(-1\/3)\/m)\/m))**30 assuming m is positive.\nAnswer: m**(1315\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 49*b - 4695. Determine o(42).\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -50*l + 50*l + 21*l**2. Let d(p) = p**2. Let m(g) = -18*d(g) + z(g). Let f(c) = 2*c. Determine f(m(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(8)\/sqrt(4)) + 4 + sqrt(5)*-1 - (-6*sqrt(30)\/sqrt(2))\/sqrt(3) - (-3 + (sqrt(450)\/(1*sqrt(10)))\/((sqrt(9) - sqrt(81))*-3)))**2.\nAnswer: 245*sqrt(5)\/3 + 7889\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -14, -2, 0.1, 109, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 427*f**2 + 202*f**2 + 457*f**2 - 1089*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3\/5, 1150?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1728, 1815, 1902, 1989, 2076, 2163?\n\"Answer: 87*u + 1641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190453.\nAnswer: 227, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.97 - -1.01. Round l to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31415537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u + 87. Let k be r(-8). Suppose -11*w = -k*w - 16. Solve 11 = 5*v - w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + 21*y + 168. Let p be m(-15). Calculate the greatest common factor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 719661 and 27?\nAnswer: 6476949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010011 + -100?\nAnswer: -1011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 14*h - 514. Let z be n(34). What is the fourth biggest value in 1, z, 3, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + n - n - 2*n - 5*n**2 + 3*n**2 to d*n**2 + k*n + o + r*n**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 - 41*p**3*z**3 - 2*p*z**3 - 122*p*z**2 - 2*z**2 wrt p?\nAnswer: 40*p**3 - 246*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*x = 823*x + 2*y + 38, -5*x + 5*y = -3*x - 49 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-27)*(-18)\/(-4))\/(-18)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 4*k + 5. Let i be 0 + 4 + 0 - -20. Suppose 168*n - 176*n = -i. Calculate the smallest common multiple of a(3) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04348 and -8.\nAnswer: -0.34784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -11\/5, -0.1734?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**3\/21 - 54*h**2\/7 + 416*h\/7 - 3956. Factor m(d).\nAnswer: (d - 104)*(d - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1883199181 to the nearest integer?\nAnswer: 43396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 620438 divided by -974?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/15*12 - (9 + (-473)\/55)*-20\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26045318 and 65.\nAnswer: 130226590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*j - 85 + 57 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964401.\nAnswer: 3, 321467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + a. Let s be q(2). Let x(u) = u**2 + 5*u - 2. Let l be x(s). Let r be (-6 + 4)*(0 + -1). Solve c + 5*o = -r - 1, -5*o - 12 = l*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-504)\/35*-5*2. Suppose -p = -4*m + m + 3*x, -x = m - 58. Suppose 4*r - 5*v - m = 38, -4*v + 64 = 4*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29431?\nAnswer: 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z - 4. Let r(b) = 53*b + 39*b - 86*b + 6*b. Determine r(v(a)).\nAnswer: 120*a - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1099088*n + 15387227. Give k(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/7 and 58\/495.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*r**2 - 3*r + 46909.\nAnswer: 86*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-10) + 63\/(-15). Let u be (-2)\/4*b - 1055. Let f = -616 - u. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3460\/(-1038)*4\/(-10)*3\/(-3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:00 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93 + 132 - 158)*(-u**4 - 3*u**4 + 5*u**4).\nAnswer: 67*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 637208, 637204, 637198, 637190?\n\"Answer: -m**2 - m + 637210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 + -88. Let j = 96 - m. Suppose -2*p - 5*o - 95 = -4*p, p - j = -o. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60882\/13 or 4682?\nAnswer: 60882\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + (-2)\/7. Let x be 9*2 - (-1 + 1). Solve s = 5*p + 5*g - 25, 6 = -3*g + x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -308*c - 313. Let p be t(-1). Suppose -5*g - 4*u + 7*u + 59 = 0, g - 9 = 2*u. Let q = g + -13. Sort q, 2, p, 5 in decreasing order.\nAnswer: 5, 2, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-2 - (-46 + 62))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*v**5 - 260*v**4 - 935*v**3 - 1360*v**2 - 660*v = 0. What is v?\nAnswer: -22\/5, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.171 - 0.009. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 79*q + 5 = -75*q, 0 = -3*l + 5*q - 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -458, -1115, -2164, -3563, -5270?\n\"Answer: 7*d**3 - 238*d**2 + 8*d - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -956625 and -1414.\nAnswer: -958039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*g**3 + 179*g**3 - 94*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20564 - -78639. List the prime factors of l.\nAnswer: 5, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -23, -45, -85, -149, -243?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -128. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 * 0.0121\nAnswer: -2.3111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -4, 68?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -256, -1714, -5692, -13456, -26272, -45406?\n\"Answer: -211*y**3 + 6*y**2 + y - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 281250\/7 or 40180?\nAnswer: 40180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + sqrt(80))*4 + sqrt(80) - -2*(sqrt(80) + 2 + sqrt(80) - sqrt(80)))**2.\nAnswer: 3921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.5 less than or equal to -36\/33037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-6))**(17\/4))**(1\/14))**(-39))**(-1\/23) assuming p is positive.\nAnswer: p**(-1989\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40561 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 2. Suppose -4141*x + 4124*x + 5 = 56. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/3)\/g))\/(g\/(g*((g*g**(-17)\/g)\/g*g)\/g)) assuming g is positive.\nAnswer: g**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + (sqrt(832) + (-2*-1*sqrt(832) - sqrt(832)) - sqrt(832)) + 1 + sqrt(832) + (sqrt(832) - (sqrt(832) + (sqrt(832) - (sqrt(832) + -4)))*1)))**2.\nAnswer: 288*sqrt(13) + 29961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -260*d**6\/3 + 484*d**5\/5 + 655*d**4 + 1820*d**3\/3 + 30*d**2 - 144*d + 1710. Let l(k) = 0. What is k?\nAnswer: -1, -4\/5, -1\/2, 3\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*v + 293, -2*z + 165 = 5*v - 615. What are the prime factors of v?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -878 (base 13) to base 11\nAnswer: -10aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 17*h - 7. Let q be d(-10). Solve -5*o - q + 3 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 22*j**2 - 1341*j - 60. Let a be x(61). Is 462.4 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469743.4 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11821 + 11823 - 42*b**3 + b**4 + b - 7*b**3 - 3*b to n*b + k*b**3 + s*b**2 + o*b**4 + f and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 319 * 16021\nAnswer: 5110699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**5*v + 2*d**4 + 11*d**3*v**2 - 20*d**2*v**2 + d**2*v - 2*v**2 wrt d?\nAnswer: -60*d**2*v + 48*d + 66*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828\/457*(-2)\/((96\/40)\/(186\/80))?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53722\/17 + 3162. What is k in 2\/17*k**2 + 16\/17*k + p = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7 = -b - 0*b, -5*b = -25. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64527 is divided by 8041.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + (-1 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 594\nAnswer: -43\/594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -12, 2*l - 10 = -2*l + 2*w. Let f(o) be the second derivative of -o**3\/3 + 5*o**2\/2 - o. Let u be f(-5). Solve b + l*b - u = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22774793.8874765 - 22774478. Let y = 0.0704765 - s. Let h = -316 - y. What is h rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*j + 11*j**2 - 515*j.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 7*g - 14. What is the remainder when 85 is divided by t(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1737 - -3146. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -24. Calculate the remainder when 106 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 5:45 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -15*z + 305. Let i be x(20). Solve -4*c - 20 = -0*c, i*b + c = 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34964 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.119 + 0.681. Let v = u + -0.8. Let j = 2 + -4. Sort v, 0.03, j in decreasing order.\nAnswer: 0.03, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -0.1142, 0.1, -4, 445 in descending order.\nAnswer: 445, 0.1, 0.03, -0.1142, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.032047686 and 0.1.\nAnswer: 0.132047686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j**2 - 2*j - 15. Is s(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 + 159.8. Let i(q) = -6*q**2 - 2*q - 1. Let y be i(-1). What is the third biggest value in -3\/2, -0.5, s, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7749821 by -4.\nAnswer: 7749821\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488*s - 486*s = -2. Let x(w) be the second derivative of -5*w**3\/2 + w. Does 5 divide x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1*3*(-2)\/(-30).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000678295 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -632834 != -632012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -27130, 1\/4, 0.4, 25\/14?\nAnswer: 25\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 378, 4, 1 in increasing order.\nAnswer: 1, 4, 5, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3190840*g**2 - 3960428*g wrt g?\nAnswer: -6381680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1026001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4219319757?\nAnswer: 3, 1406439919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 67*y - 288550. What are the prime factors of y?\nAnswer: 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 440762946*y - 881525904.\nAnswer: 3*(y - 2)*(y + 146920984)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.417 - 0.467. Let s = 4.2 + -4.084. Let d = s - h. Which is the second biggest value? (a) -1 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 13*i**2 + 5*i - 7. Let w be 46\/(-8) - ((-26)\/(-8) - 3). Let y be c(w). Put y, -2, -2\/7, -1\/5 in decreasing order.\nAnswer: -1\/5, -2\/7, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3 - 6*h - 6. Let q be s(-1). Put -14, -3, q in ascending order.\nAnswer: -14, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195531\/55 - 3555. Find the common denominator of q and 4\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -q + 3*p, 5*q - 607*p + 603*p + 52 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 286890?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -177*l + 1037*l**2 - 2184*l**2 + 1150*l**2 - 68*l as t*l + j*l**2 + h and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + 3 - (sqrt(1700) + 0))**2 + ((sqrt(272)*2)**2 - (sqrt(17) - (sqrt(17) - (sqrt(17) - -5*(sqrt(17) - (sqrt(17) + -1)))**2))).\nAnswer: -82*sqrt(17) + 2439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-56))\/(459\/(-102))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -19*q**5\/60 + 7*q**4\/24 + 2*q**3\/3 - 8*q. Let a(k) be the second derivative of n(k). Is a(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -946818 (base 10) to base 6\nAnswer: -32143230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.2496 - 83.30959992. Let i = 0.06 + l. What is i rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10*l**3 + 11*l**2 + 19*l - 11. Let o(v) = -v**3 + v**2 + v - 1. Give -2*h(g) + 22*o(g).\nAnswer: -2*g**3 - 16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60372285 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117))\/sqrt(9) + -1 + sqrt(52).\nAnswer: -1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 57*w**3 - 8*w**2 + 2*w. Let j be y(1). What is the smallest common multiple of 76 and j\/7 + 8\/(-84)*3?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -10\/9, 1, -0.1, 2?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 9*r + 27. Let n be x(15). What is the highest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000101111110 (base 2) in base 6?\nAnswer: 342302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.8094069 kilograms?\nAnswer: 809406900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 - 8*i - 8. Is x(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.11 (c) -5 (d) 4 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2. Let a(o) = -13*o. Determine a(g(h)).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599*-390123.\nAnswer: 233683677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*w + 10. Let g(d) be the second derivative of -d - 1\/6*d**4 + 0*d**3 - 1\/2*d**w + 0. Differentiate g(q) with respect to q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)*-4 + sqrt(6))\/(-6*sqrt(27)) + -3*(-4 + sqrt(24)\/(sqrt(1728)*2)).\nAnswer: 35*sqrt(2)\/72 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -754, -1131, -1508, -1885, -2262?\nAnswer: -2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 0.5. Suppose 16*k - 5 = 75. What is the nearest to t in 3, k, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (-2 + 3 + 3*(sqrt(405) + -4 + -2 + sqrt(405)) + 4)**2.\nAnswer: -1404*sqrt(5) + 14749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 5. Suppose -2*r - 11 - 1 = 0. Let j be i(r). Let s = -237 + 3553\/15. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419108?\nAnswer: 2, 29, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.10458 litres in millilitres?\nAnswer: 19104.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chgye. What is prob of sequence ce?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324 - 324 - 1420744*s**2.\nAnswer: -1420744*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14807 and 182104?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/46137 - 1246229\/24452610. Find the common denominator of v and 67\/10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n - 99*n = -125 - 531 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-895)\/1045 + 0 - 2350\/44650?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 2*o**2 + 1. What are the prime factors of t(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*z - 24 = 0, -4*w - 14 = -z - z. Let j be -2*(-1 + 2)*w. Let y = 3 - j. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -6 - 26\/2. Let s = d + 14. Suppose -2485 = -s*f - 5*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -35709162?\nAnswer: 2\/17854581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f - f)*(-194 + 364 - 198 - 7*f).\nAnswer: 14*f**2 + 56*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27326805 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide ((-12)\/(-18))\/(1\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.1. Let u(p) = p**3 - 2*p**2 - 3*p + 3. Let m be u(2). Which is the third biggest value? (a) -3\/5 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1931, -2532, -3183, -3902, -4707, -5616, -6647?\nAnswer: -7818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -1\/929, 4, -4\/5, 61?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 496939257 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -5*l, -4*b = -5*b - 3*l - 3. Let r(v) = -2*v**3 - 6*v**2 - 3*v - 5. Let s be r(b). Are s and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 5. Let a be u(5). Suppose 4*z = -5*h + a, -3*h + 4*h - 2 = 4*z. Put z, 2, -2\/3 in descending order.\nAnswer: 2, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3948 + 3948 - 38*x**5 + (3*x**3 - 3*x**3 + x**3)*(0*x**2 + 2*x**2 - 4*x**2).\nAnswer: -40*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22203213 (base 4) to base 16\nAnswer: a8e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2289, -9028, -20215, -35850?\nAnswer: -55933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-81)\/(-6)))\/((-180)\/135)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/6)\/(1\/(-6)). Suppose 0 = 4*s + 3*n - 11, s + z*n + 1 = -0*n. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 9:31 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2616 divide 15246048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.001 rounded to 0 decimal places?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 2*u + 1. Let f be w(-2). Let h(q) = 24*q**2 - 2*q + 1. Let d be h(f). Find the second derivative of 2*p**3 - 4*p - 23 + d wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 1a343385?\nAnswer: -1a343381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (238\/(-102))\/((-141)\/(-8037))?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j**2*k*o**2 - j**2*o - 453*j*o**2 - 2*k*o**2 - 2*k*o wrt k.\nAnswer: -4*j**2*o**2 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 + 2\/5 + (-152256)\/(-60)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z - 11*z**2 + 13 + 3*z**2 - 1 + z**3. Let m be h(9). Suppose -m*q = -q. Solve 2*f + 0*f + 6 = q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 23. Suppose 0 = -5*i - 4*d - 16, -2*i - 2*i = d + 4. Find the first derivative of -2 - j**4 + i - 2*j**z wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from mwmwww.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -9, -15, 13641, -4 in increasing order.\nAnswer: -15, -9, -4, -3, 0, 13641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -91?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 839 - 322.5. What is k rounded to the nearest 10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 + 2*x - 2. Suppose 0 = 2*j - 0*j + 6. Let d(q) = q**3 - 8*q**2 - 3*q + 3. Let y(f) = j*l(f) - 2*d(f). Find the third derivative of y(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/8 (b) 66751 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -44157?\nAnswer: 44153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 955\/15)*(1 + 2). Find the third derivative of r*q**4 + 112*q**5 - 350*q**4 + 236*q**2 + 171*q**4 wrt q.\nAnswer: 6720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5545.46516 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**4 - 28*t**3 + 44*t**2 + 28*t - 48 = 0.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 4*l + l)*(-2*l + 2*l - 2*l**3) + (-3*l - l**2 + 3*l)*(-2*l + 5*l + 0*l)*(l + 3*l - l).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 3)*(z**2 - 3*z**2 + 4*z**2) + (-z + 2*z - 2*z)*(-26*z - 12*z + 6*z).\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -33*i. Let q(z) = -2*z**2 + 61*z - 61*z. Determine q(n(l)).\nAnswer: -2178*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/3)*i\/(i\/(i\/((i*(i*i**9)\/i)\/i))))**(-1\/35) assuming i is positive.\nAnswer: i**(19\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433219 is divided by 255?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -26065*i + 521286. Determine s(20).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12151, -12123, -12093, -12061, -12027?\n\"Answer: c**2 + 25*c - 12177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.46, -0.1, 24, -0.13 in decreasing order.\nAnswer: 24, 0.46, -0.1, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 18669455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5027519, -5027381, -5027013, -5026301, -5025131, -5023389, -5020961?\n\"Answer: 19*y**3 + y**2 + 2*y - 5027541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + -1*sqrt(7) + 3 + -3)**2 + ((5*-2*sqrt(70) + sqrt(70))\/(sqrt(80)\/(sqrt(24)\/sqrt(3))))**2 + -4.\nAnswer: -10*sqrt(7) + 598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, 2, -7 in descending order.\nAnswer: 2, -1, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(171)) - (sqrt(171) + -1)*6.\nAnswer: -33*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*-3*3\/(-9). Let w = 231 - 230. Which is greater: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251e2 (base 15) in base 16?\nAnswer: -1cf22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 4*a**2 + 0 + 0*a + 1\/60*a**5 + 1\/360*a**6 + 1\/36*a**4 + 0*a**3. Determine k so that j(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.3 (b) -1 (c) 5\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.041 - 0.259. Sort -4, a, 57 in decreasing order.\nAnswer: 57, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6 + 2. Suppose -2*o + h*r = -54, 0*o + 2*r - 98 = -4*o. Suppose -o = -3*w + 20. Calculate the remainder when 44 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 2, 334?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 10:14 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/23)*f**(-5))**(-45)\/(f**(-7)\/f**10)**(4\/21) assuming f is positive.\nAnswer: f**(108349\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 29 (c) -2\/9 (d) 894 (e) 2 (f) 0.041\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 14. Let u be i(-8). Let f be u\/8*((-96)\/2 + 0). Round f to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2 + 4. Suppose 5*w - 17 = -v*b - 63, -5*b = 3*w + 39. List the prime factors of 2*2*(-4)\/w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 74912 and 0.07.\nAnswer: 74912.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 11*t + 1. Let p be n(-7). Let w = 52 - 73. Let y = w + p. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 3, 0 = 5*d - 3*o + 3. Let u be d - (-9 + -1) - 4. Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Suppose 0*m + m = u. Suppose 0 = 2*s - v - 36, -15 + 75 = m*s + 5*v. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 457*z**2 - 292*z + 163*z + 128*z + 571*z**2 to m*z + d + h*z**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7 - 77 = 0. What is the units digit of 946 + 2*(4 + m\/10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 219*v**2 + 23*v - 62. Let l be n(3). Is l smaller than 1977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315.962 rounded to the nearest 10?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19388 and 296?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*w + 9. Solve -w = 2*z - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*p = 2*w - 19, 2*w - 4*p = -18. Sort 5\/4, w, -0.5, -0.2 in descending order.\nAnswer: 5\/4, w, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 26*z + 160 = 0. Calculate the smallest common multiple of 116 and z.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.223 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -14. Let x = t - -3. What is the greatest common divisor of x and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71.697*-2.9\nAnswer: -207.9213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2011000001212112?\nAnswer: 2011000001212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**8\/47040 - a**7\/5880 - a**6\/2520 + a**4\/4 - a. Let t(g) be the third derivative of w(g). Factor t(u).\nAnswer: -u*(u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*p = 3, 324*p - 15 = -3*x + 322*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 69093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 201487757.\nAnswer: 201487757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 937 - 1876 + 37*k**2 + 939 + 253*k wrt k.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25712559 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11512 in -17, -0.4, -6, -0.2?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9*b)**22\/(b**(4\/5))**(-47) assuming b is positive.\nAnswer: b**(1288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1245 and 333.\nAnswer: 138195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 2*l + 3*i - 14, -4*l = i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/38 and -2*2\/4 - 65\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4717.\nAnswer: 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i - 1. Let z(c) = 13*c + 23. Let n(q) = -14*q - 27. Let x(w) = -6*n(w) - 7*z(w). Give -5*m(h) - 7*x(h).\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.8058438 to two dps.\nAnswer: 8.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 920624833 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52641\/8 + 6572. What is the common denominator of 387\/90 + (-3 - -1) and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34.18 + 28.1. Let u = -6 - l. Let t = u - 0.38. What is the closest to 1 in -2\/7, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -144 + (75 + -66 - (2 + (-3 - 1))).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3478.7 + 3253. Round v to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 47799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-5 - -2)) + (-4 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**5\/10 - r**2\/2 + 9*r. Suppose -2 = o - 1. Let v be b(o). Let j(q) = -2*q**3 - 2*q + 1. Give j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {i: 4, c: 8, j: 1}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*456\/18. Let g be (1 + -7)*19\/f. Suppose -m - g*q = m - 136, 126 = 2*m - 2*q. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l**3 + 3*l**2 + 3*l - 3. Let g(m) = -10*m**3 + 4*m**2 + 2*m - 4. Let n(j) = -3*g(j) + 4*q(j). What is the second derivative of n(s) wrt s?\nAnswer: -60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 327 + -620. Let k = f + 292. Let t = -26 - -36. Which is greater: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(1*(sqrt(175) + 0) - sqrt(175))*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.164 (b) 0.1 (c) 0.5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 + 20 = 0. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204782 and 2237744?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 5:21 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9500, -9362, -9074, -8588, -7856, -6830, -5462, -3704?\n\"Answer: 8*y**3 + 27*y**2 + y - 9536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.2 + -0.2. Let m = x - 1. Let d = 0.4 - -0.1. Which is the smallest value? (a) 0.2 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 2*s**3\/3 + 237*s**2\/2 - 3213*s. Calculate j(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -16*g - 1. Suppose -62*x = -62*x - 8*t, -3*x - 3*t = -93. Calculate the remainder when q(-7) is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -28*r + 160*r + 2*r. Let i(g) = -g**2. Determine i(u(d)).\nAnswer: -17956*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 12:16 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8376551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9555?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, d: 2}. What is prob of picking 1 d and 1 i?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 43*x + 0 - 1\/15*x**5 + 1\/15*x**6 + 0*x**2 + 0*x**3 + 0*x**4 - 1\/63*x**7. Solve c(u) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 0 - 1\/3*i**2 - 1\/3*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 18. Let y(b) = b**2 + 8*b + 10. Let a be y(i). Is a equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 119 + -101. Suppose -39*b + 30*b = -l. What is the nearest to 0 in -1, b, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b + 5?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11431\/1278 + -10 + (-8)\/18?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 2. Let q = 87 + -73. Let k be (25\/(-15))\/((-2)\/6). Suppose -t + 3*x - q = -x, k*t + 3*x = -1. Determine g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 96, 124493, -1 in descending order.\nAnswer: 124493, 96, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 + -4 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n + 42. Let l be t(-6). Put -1, -2, l, 3 in ascending order.\nAnswer: -2, -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 3*i**6\/8 - 109*i**3\/2 + 281*i**2. What is the first derivative of p(f) wrt f?\nAnswer: 135*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j + 3 + 5\/2*j**2. Give u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18989391?\nAnswer: 3, 17, 31, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -3, -49 in increasing order.\nAnswer: -49, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -323215 - -19.\nAnswer: -323196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -10743166216026.\nAnswer: -10743166216025.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k - 10*k - 354 = 36*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 104 (b) 298 (c) -2\/13 (d) 448\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/30 and -67\/417.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 1 + 5. Suppose -4*w - 229 = 5*i + 113, -w + 129 = -s*i. Let d = -18 - i. Is d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 288, 726, 1348, 2160, 3168?\nAnswer: 4378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 140039 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: Is 1048867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 636, 636, 606, 546?\n\"Answer: -15*c**2 + 45*c + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaa when three letters picked without replacement from uauaaua?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5493.\nAnswer: 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14523*c**2 + 43*c - 142?\nAnswer: 29046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(-3 + 3 + sqrt(20)\/sqrt(4)) + -2).\nAnswer: -4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 123\/8 in 1, -0.5, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9849 is divided by 137.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 1\/2 (b) -7\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {q: 7, i: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**3 + 2*s**2 + 5*s + 3. Let w(f) = -3*f**2 - 31*f + 2*f**3 - 3 + 25*f - 1 + 6*f**3. Give 6*i(t) + 5*w(t).\nAnswer: -2*t**3 - 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**3 + k**3 - 5*k**3)*(-15*k + 35*k - 14*k - 4*k - 1144) in the form v + i*k + d*k**2 + r*k**4 + a*k**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23733 by -7911.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -286 + 287.59. Let j = 1.66 - p. Which is smaller: j or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -648674, -648589, -648518, -648467, -648442?\n\"Answer: -o**3 - o**2 + 95*o - 648767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/7 + 2*h**3 + 32*h**2\/7 + 24*h\/7 = 0 for h.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*v - 2, 0 = 2*p - 5*v - 6. Let u be ((-27000)\/p)\/((-5)\/8000). What is u rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-256)\/(-18) + (-4)\/18. Suppose -7*g = -13*g. Solve -y + 6 = -2*j, g = -5*j + 3*j - y - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/28)\/(4\/16*-6)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 80 + -398\/5. Calculate the common denominator of t and (-4)\/6*944\/(-96).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10 + (-7 - 1))*(3 - (-5 + 3)). What is the highest common divisor of 3785 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 - -0.61. What is the third smallest value in -0.5, -5, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -304*g + 281*g + 4*b, -5*g + 5*b = -25 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1625*d - 7670. What is w(-4)?\nAnswer: -1170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8004*i**6 + 50*i**4 - 2*i**3 - 46065941*i**2 wrt i?\nAnswer: 960480*i**3 + 1200*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -349 - -338. Is -3 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.029699.\nAnswer: -0.089097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = -1. List the prime factors of (c + 0)*(-1 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347984954 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5617, -22905, -51847, -92437, -144669, -208537?\n\"Answer: a**3 - 5833*a**2 + 204*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 5\/4, 3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 328 and 9537789.\nAnswer: 76302312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -24, 3 in ascending order.\nAnswer: -24, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33)\/11)\/((-1)\/223). Let a = 2044\/3 - q. What is the common denominator of -7\/5 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -i + 11, 173 - 158 = i - 5*m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -51152, -51165, -51196, -51251, -51336, -51457?\n\"Answer: -u**3 - 3*u**2 + 3*u - 51151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/13)*k\/k**(-1\/2) assuming k is positive.\nAnswer: k**(43\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(25 + -43 - -17).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 208 = 2*c, -5*c + 355 = 3*i + 2*i. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 609 and -6.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -369, -579, -789?\n\"Answer: -210*y - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 703 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.12 + 1.02. What is the closest to 1\/4 in -3, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34860?\nAnswer: 2, 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14835338\/115150 + -129 + (-4)\/(-50)?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 17.068785 months?\nAnswer: 0.00142239875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n**2 + 30*n + 102. Let h be d(-3). Suppose 2*k + 47 = -159. Let y = k + 151. What is the greatest common divisor of y and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -4\/105*k**5 + 0*k - 1\/60*k**6 - 3\/56*k**4 + 0 - 1\/21*k**3 - 1\/2352*k**8 + 21*k**2 - 1\/245*k**7. Suppose h(i) = 0. What is i?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 2*v**2 + 43*v + 490. Give f(-11).\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**3\/3 - 9*v**2\/2 + v. Let f be m(6). Suppose -p - 13 = -25. Solve -2*b - 4*z - 12 = -5*b, 3*b = -f*z + p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -0.11, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2206 + -4?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwjxxxxxxxxx. What is prob of picking 1 w and 1 x?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5506 (base 13) to base 10.\nAnswer: 11836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3213\/599 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986.71 rounded to the nearest ten?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*j**2 + 52 + 19*j**2 + 63 + 2*j - 95*j**2 + 56.\nAnswer: 12*j**2 + 2*j + 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, l: 14, k: 1}. Give prob of picking 3 l and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n = -47*n + 8. Suppose 0 = -n*y - 98 + 1116. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) 6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.05 (b) -3 (c) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5795*y**3 + y**2 - 9559*y wrt y.\nAnswer: -34770*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/11)\/(((-91632)\/(-9545))\/((-22)\/10))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*(-5)\/150)\/(1\/(-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 4) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -729*p**5 - 2*p**2 + 300?\nAnswer: -43740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2. Let x(f) be the first derivative of -61*f**2 - 11*f + 21. Let y(a) = -24*a - 2. Let p(c) = 4*x(c) - 22*y(c). Determine p(u(b)).\nAnswer: -200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by 8.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-168))\/((((-8)\/(-6))\/(-2))\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 177 - 23 - 14 - 83 - 20 - 15.\nAnswer: 3*s + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59805, -59806, -59807, -59808?\nAnswer: -59809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.027688 to 3 decimal places.\nAnswer: 1.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = t + 19. Let c(f) = -3 + t - 2*f - 4 + 5*f. Let s(x) = -x + 1. Determine c(a) + 5*s(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 9 + 24. What are the prime factors of k\/(-7) - 4356*12\/(-56)?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2109416 by -4.\nAnswer: -527354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*r**6 - 2*r**4 + 206*r**2?\nAnswer: -5280*r**3 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/3 + 18*i**2 - 932*i\/3 - 2368 = 0 for i.\nAnswer: -37, -6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/13 + 1596\/104 - (58 - 48)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1258, -2, -1, 2, 120 in descending order.\nAnswer: 120, 2, 1, 0, -1, -2, -1258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4585 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3249, 6365, 9481, 12597, 15713, 18829?\nAnswer: 21945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46)\/42)\/(1043\/(-21903)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1230, 2286, 3326, 4344, 5334?\nAnswer: 6290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*10*19\/(285\/6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from vpup?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*o + 34, 2*o + 5*v + 20 = 7*v. Does 79 divide 1264 - (o + (-28)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 38*f**2 + 1. Suppose -x - 2*b + 2 = 3*b, 5*x = b + 62. What is the remainder when u(1) is divided by -15*1*(-16)\/x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**4 - 255*k**3 - 5811*k**2 - 5535*k + 12. Let m(y) = 7*y**4 - 509*y**3 - 11623*y**2 - 11068*y + 26. Let j(z) = -6*m(z) + 13*s(z). Solve j(g) = 0.\nAnswer: -43, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.1 * -0.5.\nAnswer: 3.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 620, 1239, 1860, 2483, 3108?\n\"Answer: w**2 + 616*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3 = 3*b, -2*b + 4*b = -5*q - 24. Let l be 8 - (q\/3 - -4). Suppose 5*p - 21 = j, 0 = l*p - 4*p + 5*j - 30. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/2 - 1178*a**3 - 435123*a**2\/2 - 10583902*a - 10367518 = 0. Calculate a.\nAnswer: -2159, -98, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1982 and 7.\nAnswer: 13874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 14 = -y + 7*o, 2*y - o - 7 = 0. What is the third smallest value in y, 1, 3\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 3*c + 36 = 0, -19*o + 2*c - 44 = -16*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 15*y**2 - 1139*y - 6052. Determine v(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -20*w + 162. Give v(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-3) - ((-9)\/(-3) + -4). What is the third derivative of 22 - r*s**4 + 13*s**4 - 170*s**5 + 3*s**2 + 169*s**5 - 4*s**4 wrt s?\nAnswer: -60*s**2 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -147297 and -147298 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -99 * -1602239\nAnswer: 158621661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -7 - 5) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2*a - 5)*(12 - 4 - 1) + 1 - 1 - 2*a to the form z*a + n and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -140982, -564012, -1269082, -2256186, -3525318, -5076472, -6909642, -9024822?\n\"Answer: p**3 - 141026*p**2 + 41*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1420163216\nAnswer: 1420163217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 12*m**2 - 18*m + 19. Calculate f(10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3*c**(-3\/2))\/(c\/(c*c\/(c**(1\/2)*c)*c))**(-5\/3))**(-20) assuming c is positive.\nAnswer: c**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + u + 2*u - 6*u. Let y be t(0). Does 4 divide 58 + 2\/1 - y\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 10:08 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((1 + sqrt(468) - sqrt(468))*6 - sqrt(468) - -6*(sqrt(468) + sqrt(468) + 1 + sqrt(468) + sqrt(468)) - -4*(-1*sqrt(468) + 3))**2)*3.\nAnswer: 16416*sqrt(13) + 508578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*g**3 + 2*g**2 - 3*g**2 + 0*g + 8*g**2 - 2*g - 2*g**4 + 3*g wrt g.\nAnswer: -48*g + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q + 0*q)*(-2 + 2 - 1)*(-5 - 15 - 6*q - 3).\nAnswer: -12*q**2 - 46*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 - j**2 + 8*j + 7. What is l(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31625 + -31610. Suppose 0 = -5*s + 33 + 102. Calculate the remainder when s is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486518 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30598378*x**3 + 1064*x**2 - 17719 wrt x.\nAnswer: -183590268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3032\/14 - (-12)\/56*2. Suppose 4*z - x = 67. Suppose z*y - 75*y = -4604. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, -5 in decreasing order.\nAnswer: 7, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 81, 1, -2 in ascending order.\nAnswer: -3, -2, 1, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 365 (base 12) to base 13\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1583 - -11083\/7. What is the smallest value in 2, -2\/17, -6, k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*w - 33*w + 5. Suppose 2*s - 1169 = -w*s. Let j = s + -45. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -44*i**3 + i**2 + 14*i + 12. What is q(-1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*t, -2*q + 3*t = 7*t + 86. Let f = -34 - q. Let h(x) = 8*x + 2. Let a(u) be the first derivative of 7*u**2\/2 + 2*u + 7. What is f*h(w) - 6*a(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*-4*sqrt(3))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-2)\/(-3)). Suppose -c + 541 = 5*b. Suppose 0 = 4*y - 0*y - b. Solve 5*h - 24 = -4*o, 3*h + 12 - y = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, 1, 4, 0, 30 in decreasing order.\nAnswer: 30, 14, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*l = -3*t - 2, 0 = -2*t + l + 13. Suppose t*k - 302 + 62 = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)*z**(-4))\/(((z*z*z**(-1))\/z)\/z*z*z**0))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31504.89 - -31505. Is 475 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 0, -1\/112, 19\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124)\/(-3255)*(-35)\/(-10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2 + v + 8. Let t(i) = -5*i**2 - 2*i - 7. Let s(o) = -o**3 - 2*o**2 - o + 2. Let l be s(-2). Let a(h) = l*b(h) + 5*t(h). Calculate a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1843692 is divided by 457?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/156 and -167\/168?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 9:02 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1616275010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 12030?\nAnswer: 12033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17325, 17326, 17327, 17328?\n\"Answer: b + 17324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/48145 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 1. Let d = 0 + -6. Let w(p) = -p**3 + 4*p**2 + p - 2. Let j be w(3). Let t(b) = 3*b**2 - 2. Calculate d*t(k) + j*i(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/99, -4.272 in decreasing order.\nAnswer: 4, -2\/99, -4.272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*a - 12, -4*a + 0*a + 3*w + 22 = 0. Suppose 74 = l + 24. Suppose l = a*o - 6. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.3, -1, 5, -7.1 in ascending order.\nAnswer: -7.1, -1, 0.3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -17*c. Let f(i) = 5*i**2 + 1. Determine f(m(w)).\nAnswer: 1445*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from hghhghhhhghhhhhhghgh.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - -51446?\nAnswer: 51327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -5. Suppose -6 = -2*u - 26. Let s = z - u. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56278433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -2*y**5\/3 - 19*y**3\/3 - 28*y**2. What is the derivative of a(r) wrt r?\nAnswer: -80*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:30 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02034 and 1.63.\nAnswer: -0.0331542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, 917, 1381, 1841, 2291, 2725?\nAnswer: 3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 7*m**2 + 9. Suppose 0 = 3*n - 13 + 4. Suppose 6 = -4*s - n*f, 3*s - 4*f + 10 = -9*f. Let z be s - (2 - 1)\/(2\/14). Give a(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 123.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*k**2*t**2 - 4*c**3*k**2 - 39*c**2*k**2*t**2 - 5*c - 7*k**2*t + t wrt t.\nAnswer: -4*c**3*k**2 - 78*c**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16883006.\nAnswer: 2, 7, 17, 70937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 518, 678, 838?\nAnswer: 998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25301100 (base 6) to base 3.\nAnswer: -1112111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26.729907 and -2.4.\nAnswer: 64.1517768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1616 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x**(-1\/4))**39\/(x**(1\/3)*(x\/(x**(-2\/5)\/x)*x)\/x*x*(x\/(x\/(x\/(x**1\/x)*x)))**7) assuming x is positive.\nAnswer: x**(11221\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1\/19) + 3. Is t smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-62)\/8 - 3\/12. Let h(g) = g**2 - 35*g - 4. Let u be h(35). Let d = u - p. Solve w = -w - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 113*d**3 + d**2 + d. Let k be m(-1). Let a = -110 - k. Let b(z) = -z**2 - z. Let s(r) = -r**3 + 2*r**2 + 3*r. What is a*b(u) + s(u)?\nAnswer: -u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-13244)\/(-882)) + (23 - 3)?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**5\/20 - g**4\/2 - 7*g**3\/6 + 7*g**2\/2 + 3*g. Is p(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2 - 8 + 11. Let m(t) be the first derivative of -3*t**4\/4 + 6*t + 13. Give -m(z) + 6*s(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 2*i + 24 = 0, 29*i - 26*i = -2*h - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105637\/24 + -4400. Find the common denominator of (34\/5)\/(-17) + 676\/90 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 k when three letters picked without replacement from rkhrukrrrhuhurhrr?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/15 - -43\/30. Let g be ((-1)\/(-66))\/(2\/(-20)). Let f = 2\/11 - g. Which is the third smallest value? (a) -0.1 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7632*i + 84192. Calculate s(-11).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*l + 2*l. Let b = l + 14. Factor -8*q - b - 3*q**2 + 20*q + 6 - 5.\nAnswer: -3*(q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/444 and 163\/120.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28041*q - 3476*q + 14797*q)*(0 + 0 - 2*q**2) to the form v*q + l*q**3 + m*q**2 + y and give l.\nAnswer: -78724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -530, -1055, -1580, -2105?\n\"Answer: -525*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z - 2. Let c(r) = -17*r + 4. Let g(h) = 6*c(h) + 13*t(h). List the prime factors of g(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 9, -2*p + 9 = 3*i. Suppose -h = -p*h - 31. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, k: 1}. Give prob of picking 2 z.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = h, -3*h - o + 21 = 7. Let q = -56\/111 + -6\/37. Let j be 4\/18 + (-64)\/45. Which is the smallest value? (a) h (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 - 154.88. Let i = g - -0.88. Which is the third biggest value? (a) 4 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537522 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 - 2*c**5 + 5*c**5 + ((4 - 4 - c**2)*(-2*c + 6*c - 2*c) - 2 + 2 + 4*c**3)*(-c + c + 3*c**2).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/24)\/((-70)\/(-7665)) and 1\/46.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, 96, 1000, 2766, 5682, 10036, 16116?\nAnswer: 24210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14577541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 190, 382, 574?\n\"Answer: 192*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*i - 4500 = 34*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2. Let o(y) = -73*y**2 - 21 - 24 + 71 - 25. Determine d(o(l)).\nAnswer: -10658*l**4 + 292*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163 - -166.84. Let o = 0.16 + v. Let a = -332 - -4314\/13. What is the biggest value in o, 0.5, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/16, -683, 0.2 in increasing order.\nAnswer: -683, -9\/16, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 26062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeevvxvevmenmm. Give prob of picking 2 m, 1 v, and 1 n.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151 or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4087 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 1 = 2*i + 3*i, 3*b = 4*i + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -97)\/(-2 - -1). Suppose -9*z + 8 - j = 0. Is -2 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*z - z = -8358, 0 = -7*l + 5*z + 58407. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 7. Let f = -1493 + 1488. Let c(s) = -2*s - 4. Give f*c(d) - 3*l(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:04 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3 - 882189*z**2 + 194563034640*z + 583697043648 = 0. Calculate z.\nAnswer: -3, 441096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i - 11. Let n be s(-8). Let t(y) = y**2 - 18*y + 58. Let j be t(16). Let l = n - j. Solve 4*a = l*q + 27, a + 31 = -5*q + 3*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2290442 is divided by 392?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 16*d - 3*u - 1 + 100, 3*d - 15 = 5*u - 12 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**5\/y)\/y)\/y)\/(y*y\/(y*y**(-4))))**25 assuming y is positive.\nAnswer: y**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 318\/5*q - 316\/5*q**2 + 0 - 2\/5*q**3 = 0.\nAnswer: -159, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29354*z - 11612*z - 14515*z.\nAnswer: 3227*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 24*f**2 + f + 13. Let o be l(-12). Let g = 975 + -973. Which is the nearest to 0.4? (a) g (b) 0.8 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 42 - 18 = 0. Suppose 5 = x*k - 79. Let m = k + 28. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 9. Solve -5*j = d*b - 6*b - 14, 4*b = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x - 14. Let p be b(7). Factor p*m + 2\/3 - 2\/3*m**2.\nAnswer: -2*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19116817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156555276?\nAnswer: 2, 3, 641, 20353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g**3 - g**2 - 7*g + 1. Let y(v) = -10*v**3 - 2*v**2 - 8*v + 1. Calculate 4*r(q) - 3*y(q).\nAnswer: -2*q**3 + 2*q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1456 and 69\/2127860?\nAnswer: 110648720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21637599?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 516 = 13*w. Suppose -201 = -7*t - 26. What is the remainder when w is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 684, 690, 698?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**2*s - 85260*k**2 + 1684*k*s wrt s.\nAnswer: -k**2 + 1684*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (1 + -4 - (144 - 142) - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1820807098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -357 - 99. Let u = -1519\/10 - z. Calculate the common denominator of 874\/80 + ((-38)\/10 - -4) and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:04 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/d**(-1\/7))))**6\/(d**(1\/5))**(8\/5) assuming d is positive.\nAnswer: d**(1144\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 20 - -17 - 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-six fifths of a centimeter?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/(2\/4). Suppose 3*y = -2*k + 1, 5*y + 4 - 3 = -4*k. Calculate the greatest common divisor of a and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -15*c + 1. What is the remainder when w(-2) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -330, -518, -706, -894?\n\"Answer: -188*h - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5122, 5, -4, -1 in decreasing order.\nAnswer: 5, -1, -4, -5122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5632*b**2 + 5625*b**2 - 28138*b**2 + 5633*b**2 + 5634*b**2 + 5622*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 49, 94, 139, 184, 229?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -88*w**2 + 2*w + 2. Let m(s) = -177*s**2 + 5*s + 5. Let g be -9 - ((-2)\/(-13) - 4482\/1079). Give g*v(j) + 2*m(j).\nAnswer: 86*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.3978 + -10.427. What is the nearest to -2\/9 in s, -5, 3, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2954, 2849, 2672, 2417, 2078, 1649, 1124?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 11010.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erz when three letters picked without replacement from {b: 3, e: 2, r: 4, m: 1, z: 4}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2090 by -209.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 73 = -x, 5*i + 5*x - x - 82 = 0. Are i and 12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 - 3*b**2 - 2*b + 1. Let u be k(-2). Let g = 23 - 13. Suppose 4*a + g = 4*c - 3*c, u = c - a. What is the highest common factor of c and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -14.99, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d + 35*d + 91*d + 2095 = -2630 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -563*y - 1. Let a be s(2). Is 2\/(-3) + a\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9195283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:41 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/153*((-33)\/36)\/11.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + -9 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -27*u**2\/2 - 21*u + 2. Let k be q(-6). Let l = k - 72. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**4 + y**3 + y**2 - y - 1. Let l(c) = -9*c**5 - 32*c**4 + 45*c**3 + 41*c**2 - 36*c - 2. Let r(a) = -21*f(a) + 3*l(a). Suppose r(q) = 0. What is q?\nAnswer: -5, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let b(f) = 10*f + 6. What is b(o(s))?\nAnswer: 10*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/7 + 182372*n\/7 + 2735130\/7 = 0 for n.\nAnswer: -91171, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 737154 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149 - -192. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -10*a**2 + 3*a + 3. Let w(l) = 19*l**2 - 5*l - 5. Let y be 3\/7 - (21 - 109\/7). Give y*x(z) - 3*w(z).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:03 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9421.\nAnswer: 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:03 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 9*a**2 + 7*a - 7. Let l be t(5). Solve l = 2*s + 3*z + 1, 4*s + 16 = -z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1787*s - 5812 = 464*s - 178*s + 122714 for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 0.1, -3\/5, -201?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 204?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28935 + 28935 - 2*b**2 to the form p + l*b + u*b**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -71*x + 6115. What is m(86)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 397645977 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 19*p - 28. Let d(j) = -j**2 + 10*j - 1. Let b = 14 - 5. Calculate the smallest common multiple of d(b) and m(7).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*2\/(6\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let w be (4\/7)\/(10\/(-245)*-7). Suppose 2*r + 4*u = -w*r + 248, 0 = u + 2. Let g = r - 63. Let v(x) = -2*x. What is g*v(a) + s(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -393*1\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {n: 2, w: 1, z: 1, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18628 - 18628 - 892*j - 3*j**5 wrt j?\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*o)*(266*o - 110*o + 348*o).\nAnswer: 1008*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 459910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-1) + -3 + 0. Solve -5*v + 4*m + m = g, m - 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 70 = 5*v, 4*x + 5*v - 74 = -0*x. What is the lowest common multiple of x and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(-1))\/x)*x\/(x\/(x\/(x\/(x*x\/x**(-2\/9)*x))*x)))\/((x**(-2\/7)\/x)\/(x*x**14)) assuming x is positive.\nAnswer: x**(1292\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-70))\/((-2)\/(11 - -3))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 = -3*a. Let q be (-2)\/((-3)\/(3\/a)). Which is bigger: -3\/5 or q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255643 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: Is 370333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1005*a + 1002*a + 1004*a - 3011*a - 403*a**4 + (-2*a + 0*a + 0*a)*(-2*a**3 - 2 + 2) + 0*a**4 - a**4 + 0*a**4.\nAnswer: -400*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2031.\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 16 - 54 + 70 = 0 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.7 + 27.94. Let f = i - 6. Round f to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.258224445 take away -332?\nAnswer: 332.258224445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/468 and 41\/25619760?\nAnswer: 333056880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/5 - 8396*q**3\/5 - 10086*q**2 - 75664*q\/5 - 33632\/5 = 0. Calculate q.\nAnswer: -4, -1, 4204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 35. What is the greatest common factor of i and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + 1212?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 10*p**3 - 8*p**2.\nAnswer: -2*p**2*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5307790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*g**5 - 38*g**4 - g**3 - 14*g**2 + 10*g - 1?\nAnswer: -540*g**2 - 912*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -3, -4, -5, -6, -7?\n\"Answer: -f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-14) - (-8592)\/(-672) - (12 + -20)?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 45367\nAnswer: -45379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + u - 2149, -5*u + 655 = 2*w - 3631. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69114?\nAnswer: 2, 3, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2678386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.1139 minus -12.59096?\nAnswer: -36.52294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 520957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-2)*(-51 - -8). Let q = 123 + g. What is the remainder when q is divided by 4\/6*78\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10974994 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*u + 3. Let h be -1*(u - (-2 + -1)). What is the tens digit of (h - 0)*(-1 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -299\/90204 or 1?\nAnswer: -299\/90204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkpr when four letters picked without replacement from {k: 1, x: 4, r: 3, p: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - y + 17 = 0, -5*y = -75*f + 77*f - 4. What is the fourth smallest value in 3, 6, 6\/7, f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 5*g**2 + g + 1. Determine o(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 56*n + 5 - 3*n - 59*n + 18*n**2.\nAnswer: 18*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-18)*-3*(-7)\/(-21).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 3 - 3)*(-1 + 2 - 7) + 0 + 0 - v + (1 - 2 - 1)*(-v - v - v) as b*v + u and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15153768 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 27 (c) 58\/7 (d) 2\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 202 = -4*m + 196, 4*r = m - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-8)\/12*204303\/(-86674)?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 972488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvggvgm. What is prob of sequence vgvg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*(r*r**(-13)*r)\/r))\/r**11)**(-32) assuming r is positive.\nAnswer: r**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -300 - -314. Let d be -3 + c\/((63\/2)\/7). What is the smallest value in -31, 0.1, d?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17085\/8 + 2127. Suppose 376 = 2*n + 3*g, -9*g - 940 = -5*n - 7*g. Find the common denominator of n\/329 - 517\/(-14) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -5*j**4\/12 - 185*j. Let s(h) = 20*h. Determine p(s(m)).\nAnswer: -2000*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-616)\/(-66))\/((-4)\/(-570)). What is the greatest common factor of s and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/775, -6, -2, -2346?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-6)*(-90)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {i: 1, j: 1, u: 1, e: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*f + 9, f - 3 = 2*n - 0. What is the second derivative of -6*k**3 + f - 3 - 82*k wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*f = 315*f - 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270386611 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**3\/3 + 5*v**2\/2 + 9*v + 8. What are the prime factors of i(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 2*k + 2. Let q be p(-3). Let x = q - -10. Is x + 2\/(8\/4348) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*m - 28, -5*j + 3*m + 47 = 0. Suppose 4*c - 834 = -3*f, 3*c - 2*f - 631 = -j*f. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*a + 0*a**3 - 44*a - a**3.\nAnswer: -a**3 - 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 6*n**2 - 3*n. Let b(h) = -h**2 - h. Calculate -6*b(u) + w(u).\nAnswer: -u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l + 61*l = 4. Let r be (0\/(3 + (-5 - -1)))\/l. Let x = -0.4 - 0. Sort r, x, -0.2.\nAnswer: x, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427674171 is divided by 85534833?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1263007 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 3) to base 8\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79.489991894 - 79.49. What is t rounded to seven dps?\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 3*o**2 + 6*o - 5. Suppose 50*a - 49*a = -2*q + 1, 0 = 2*q + 4. Give y(a).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((-6)\/5)\/((-53)\/371 - 164\/(-1050)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**5\/3 + 251*p**4\/3 + 739*p**3\/3 - 1243*p**2\/3 - 740*p\/3 + 992\/3 = 0?\nAnswer: -248, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68)*-1 + sqrt(68)) - (sqrt(68) + -3*sqrt(68) + sqrt(68) + -4 + sqrt(68)) - 5*(sqrt(68) + (0 + sqrt(68) - sqrt(68))*2 + 1))**2.\nAnswer: 20*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from mmmmmmmmmmmmmmmmmme.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 18 - 20 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*c - 75 = 0, 172*c - 176*c = 20. Calculate the highest common factor of v and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1282696434 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4740 + 4782. What is the nearest to 3 in -0.3, w, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 127*k + 103. What is s(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -226\nAnswer: 226.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 12:33 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnw when three letters picked without replacement from {w: 1, l: 2, k: 2, n: 1, t: 1, v: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/8 + (-194)\/(-168) + 216\/2268?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (56 - (8 + -3)) + 77?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*x + 2 + 6, -z = -1. Let r be x\/(1\/6*-3). Solve b = r*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/3608 and 83\/167280?\nAnswer: 1840080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 383, 390, 399, 410?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2702 is divided by 46.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 359 = -271. Suppose -2*y + t - 4 = 4*o, 3*y + 5*o = 95. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 1:37 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 180.2.\nAnswer: 72.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**46\/((t*t\/t**(1\/2))\/(t*t**(2\/7)\/t*t))*(t**(-1\/7)*t\/(t*t**7))**(6\/11) assuming t is positive.\nAnswer: t**(-7717\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 9156124.\nAnswer: -3\/9156124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -15986*f + 15981*f + 5, -3*i = 5*f - 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1163 (base 7) to base 9\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 12:16 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + 20. What is the remainder when n is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/60 + 3*d**5\/40 - d**4\/24 - d**3\/4 + d**2\/2 + 7*d. Factor o(a).\nAnswer: -(a - 2)*(a - 1)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18243016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -12*p + 860. Let f be h(71). Solve 5*w - 6*w + f*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -96. What is the remainder when 30 is divided by (-1 - 1)\/((-7)\/b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, a: 2, v: 4, q: 1, r: 1}. Give prob of picking 1 v and 3 m.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61532 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.33 - -26.33. Let l = 25.83 - r. Let d = l - -0.16999985. What is d rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (400 - 376) + (-32 - -4) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*n - 19, -k - 11 = -3*k - 3*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 22*k**2 + 6*k - 20*k**2 + 1 + 42*k**2 in the form r*k + q + l*k**2 + y*k**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -21*k**4 - 5907*k**3 + 4236*k**2 + 1692*k = 0?\nAnswer: -282, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 6*n - 58. Let b be x(27). What is the units digit of -2*(-6)\/(-12) + 1*b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*b = 328, -2*b + b = j - 326. Let t be 70 - ((-2)\/(-10) - 21\/5). Let v = j - t. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**2*p + 2*k**2 - 21*n*p - 305*n + 13*p wrt p.\nAnswer: 2*k**2 - 21*n + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721670 rounded to the nearest ten thousand?\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29047.\nAnswer: 31, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17727636 + 17727485.000119. Let r = g + 151. Round r to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 11*n**2 + 7*n - 28. Let u(v) = -v**3 - 6*v**2 - 3*v - 7. Suppose 2 = -2*s, 2*b + 5*s - 7 = 4*b. Let k be u(b). Does 14 divide j(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286.942 - -287. Let k = 0.042 + y. Let r = -12 + 20. Which is the fourth biggest value? (a) 2 (b) r (c) 3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 3*j = 30, 8*i - 2529*j + 2531*j = 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -0.5 (b) 5 (c) -1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125975, 125982, 125993, 126008, 126027, 126050, 126077?\nAnswer: 126108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.485393 weeks?\nAnswer: 3922365686.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -12*t**2. Let v(y) = -6*y**2 + 32. Let f(r) = -17*r**2 + 97. Let i(k) = -4*f(k) + 11*v(k). Determine l(i(h)).\nAnswer: -48*h**4 + 1728*h**2 - 15552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 1. Let x(f) = f + 4. Let n(c) = x(c) + 2*y(c). Let g(t) = -t**2 - 8*t - 10. Let j be g(-8). Let q = j - -14. Determine n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -5. Suppose 0 = -r*w + 6*w + 40. Suppose -3*f + 5*j + w = 2*f, 20 = 5*f - 2*j. Solve f*t + t = -25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1791303, 1791302, 1791303, 1791306, 1791311, 1791318, 1791327?\nAnswer: 1791338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 8)*(-2*v**4 + v**4 + 2*v**4)*(v + v - 4*v) + 0*v**2 + 2*v**5 + 0*v**2.\nAnswer: -14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*i + 14165 - 24605 for i.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/392 and -71\/224?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200936 + -346501. Let k be (-2)\/6 - (m\/(-15))\/(-7). Suppose -k + 371 = -5*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Suppose -32 = -a*b + 5*b. Let l be (b\/24)\/((-4)\/(-6)). Is 0 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1362 - 1361. Put -1, z, 17, 0.3 in descending order.\nAnswer: 17, z, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cttttcctccccctcccct. What is prob of sequence ct?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-15)*(-25)\/65. What is the biggest value in i, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-6) + 8 + 879\/(-117). Factor -4\/13*w**2 + 2\/13*w + 4\/13 - c*w**3.\nAnswer: -2*(w - 1)*(w + 1)*(w + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opfxtofu. Give prob of picking 1 f and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -348077, -695700, -1043323?\n\"Answer: -347623*g - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6 + 14 = 0. Let u be 3 + m\/2 + (-6)\/(-4). Let -7*h**2 + 7*h - 21*h**4 + 28*h**u - 6*h**3 - h = 0. What is h?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h**2 - 67*h**2 + 29*h**2 + 36*h**2.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/96*8)\/(1\/(-332)). Let b = m + 145. Which is greater: b or -27?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, n: 8, w: 3}. What is prob of sequence sn?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 3896678?\nAnswer: 3896675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 13*v + 2. Calculate o(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2731347 + 6243398. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778498577 to the power of 1\/4, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 538 + -522. Suppose -3*t + j + 14 = 0. Solve 4*n - t*n - 18 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/4)*a\/(a**(-4\/11)*a)*a\/(a*a*a**(-4)\/a*a)*a**(1\/7)\/a assuming a is positive.\nAnswer: a**(1157\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1333 - 662 - 673 + 8*v**3 + 179*v**2 as a*v + p + j*v**3 + h*v**2 and give h.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + ((-4)\/(-16) - (-34)\/(-8)). What is g in 12*g**2 - 512 + 6*g**p + 12*g**3 - 12*g + 512 + 9*g**3 = 0?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -49*l - 28. Let k be o(1). Let p = k - -2598. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1966968.\nAnswer: 590090.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7576*u. Let x(v) = -v. Give x(t(l)).\nAnswer: 7576*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54840 and 12?\nAnswer: 54840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l = 0, 0 = 2*m - l. Let s = 3 - m. Suppose 0 = -5*b + n + 960, b + s*n = 4*b - 588. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 19*a**2\/2 - 39*a\/4.\nAnswer: a*(a - 1)*(a + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2166 divided by -361.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011011111101 (base 2) in base 15?\nAnswer: a38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prp when three letters picked without replacement from {k: 1, r: 2, n: 2, a: 4, p: 5}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*g**3*j**2 + 110*g**2*j**2 + 2*g**2 - 4*g*j**2 + 3*g*j + 31*j + 82 wrt g.\nAnswer: -768*g*j**2 + 220*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -393 times 7\nAnswer: -2751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 59 - 20 + 661*g**2 - 657*g**2.\nAnswer: 4*g**2 + 2*g - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9200 and 2200.\nAnswer: 101200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218185*z**5 + 9*z**3 + 1104247*z + 15 wrt z?\nAnswer: 4363700*z**3 + 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 7, 0, -98, -9, 1, 4 in increasing order.\nAnswer: -98, -28, -9, 0, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 578*t**4 + 986*t**3 + 480*t**2 + 72*t.\nAnswer: 2*t*(t + 1)*(17*t + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -18, -36, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 b, and 1 m when four letters picked without replacement from bmggmkbmkmg?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493a (base 16) to base 12.\nAnswer: aa22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 20.82. Let w = o - -0.02. Let d = w + -0.3. Which is the nearest to d? (a) 0.1 (b) -0.4 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4623 (base 7) in base 13?\nAnswer: 9c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*r)*(2 + 2 - 2 - 1 + 4 - 1 - 4 - 2 + 5 + (-4 + 2 + 4)*(2 - 3 - 1)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let y(s) = -5014*s. Give y(i(w)).\nAnswer: -10028*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.2828.\nAnswer: -1.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/32287 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000247634282 rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 + 3*q**3 - 17 + 426*q**4 - 4*q**2 - 427*q**4 + 2 as n*q + l + g*q**2 + d*q**3 + r*q**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175*w**2 - 51*w**2 - 42 - 1849*w + 618*w + 614*w + 616*w to the form n*w**2 + p*w + t and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l - 3. What is the units digit of x(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*d + 25. Suppose 3*o = 3 + d. Solve 12 = -o*n + 6*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 8*p + 4. Let a be v(-6). Let c be (a\/(-3))\/((-6)\/(-9)). Suppose -85 = -s - c*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h + 5*j - 83, -94 = -5*h - 3*j. Suppose -20*g + h*g + 21 = 0. What is the remainder when 20 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1934011 bigger than -1934007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7*w + 4. Let a(x) = 4*x**2 - x + 1. Let d be a(1). Suppose -j - 5*i = j + 14, 0 = d*i + 16. Solve -w = -r - j*q - 4, q + 1 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/54 - 2174*l**3\/27 + 1181569*l**2\/9 - 999*l - 1. Factor b(k).\nAnswer: 2*(k - 1087)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -115 + 125 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 232608?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56725\/12 - 4734. Calculate the common denominator of o and (-495)\/(-108) - (-20)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*c + 35, 4*h + 20 = -182*c - 174 - 1080 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 21*m - 4*n = 8696, -m + 4*n + 2186 = 0. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -2 - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 412422? (a) 1\/7 (b) -0.1 (c) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-519 + 7)*(0 - 1)*2. Let x = y + -357. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*y - 33*y + 6 - 32*y - 33*y + 123*y.\nAnswer: -9*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5917188 and 2.\nAnswer: -1.1834376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -15, -5, 0, 454, 29, 1\/2?\nAnswer: 454","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 997*m - 8567*m.\nAnswer: -9564*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 243444938725 - 62794187494988009\/257940. Let s = -3\/57320 + x. Calculate the common denominator of s and 145\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -2. Let a = 411 + -331. Suppose 61*o - 41*o = a. Calculate the highest common divisor of n and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/5)\/(9\/(-60)). Let m be l\/3*(-3)\/2. Sort 9, 0, m.\nAnswer: 0, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1079279 and 1836.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from {m: 4, b: 2, v: 3, a: 6, y: 2, e: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18919877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -162, -617, -1386, -2475, -3890, -5637, -7722?\n\"Answer: -v**3 - 151*v**2 + 5*v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 550658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047 plus -3022315524121?\nAnswer: -3022315524120.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**3 + 11893161*u**2 + 61*u - 3332 wrt u.\nAnswer: 6*u + 23786322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (0 - (-1 - -2)). Suppose -3*p + q*p + 18 = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38651 - 38653. What is the closest to 1\/4 in -20, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16724 - -339?\nAnswer: -16385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l - 101 - 17*l + 20*l to the form o*l + z and give z.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -238 at least -238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 1. Let k = -21 - -15. Suppose -7*q - 2*a = -8*q + 16, -4*q + a + 64 = 0. Let n be (q\/k - -3)*3. Calculate l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and 8344.\nAnswer: 5006.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24572.\nAnswer: 2, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 112*f + 1235 = -2303 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12)*-5)\/(sqrt(24)*5).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, -8, 6, 26, 52?\n\"Answer: 3*h**2 - h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 834 + 26*s - 834 to the form m + j*s and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-4)\/(-40))\/((-11)\/110).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-15) - (-23878362)\/15. Let d = n - 2781891. What is d rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2347 + 2347 - 71*h to the form w + o*h and give o.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 769 + -743. What is the greatest common factor of q and 962?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2. Suppose 4*p + o = -54, 49 = -4*p + 5*o + 7. Let b be -2 + 0 + 0 - -3. Let c be 8 + (3 + b)\/(-2). Let m(t) = t**2. What is c*x(r) + p*m(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6950 at most as big as -5002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 819357080, 1638714159, 2458071238, 3277428317, 4096785396?\n\"Answer: 819357079*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-8)\/d))\/d)**(-7) assuming d is positive.\nAnswer: d**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 24\/185 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*b + 17 - 4, -2*l + 5*b + 33 = 0. Let h(t) = -t**2 + 5*t - 4. Let n be h(l). Solve n = 5*j - 10 - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/34 and 5\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/12 + 3*d. Let b(o) = 13*o**2. Give c(b(t)).\nAnswer: 169*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -107, -278, -523, -836?\nAnswer: -1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3568 + 0?\nAnswer: 3568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.9998 - -8. Round i to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-3)\/5)\/(2\/(-10)). Let r be ((-3)\/(-1) + i)*(-10 - -38). Solve -2*q + 3*o + 2 = 0, 5*q + 3*o + r = -9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24969*n**2 + 12744*n**2 + 5147*n**2.\nAnswer: 42860*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*l**5 + 2*d*l + 2*d + l**5 + 3*l**4 - 8 wrt l?\nAnswer: -20*d*l**3 + 20*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3021 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 771528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -468 + 470. Suppose -220 = -d*r - 4*z, z = 35*r - 32*r - 358. Calculate the remainder when r is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b**2 + 396*b + 2. Let k be h(-44). Solve q = 3*q + k*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17933, -17913, -17849, -17717, -17493, -17153?\n\"Answer: 4*u**3 - 2*u**2 - 2*u - 17933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose 0*p - o = p. What is the units digit of (1 - p) + (-3 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -877.9.\nAnswer: -881.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117545?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (1 - 4))\/(-10)*-3. Let r = 2 + 0. Let l = -123\/460 + 2\/115. What is the nearest to -4 in w, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*p**2 + 7*p**2 + 9*p**2 + 131*p**2 + 6*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/15 - 32*q**2\/15.\nAnswer: 2*q**2*(q - 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7978 = 16*r - 13910. Calculate the highest common factor of r and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 53\/4*y**4 + 0*y + 3*y**2 + 2\/3*y**3 + 2. What is the third derivative of f(a) wrt a?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -700.95304 - -701. Round i to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 16. Let d = 67 - q. Calculate the highest common factor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.592073 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*v)*(0*v - 2*v**2 + 0*v) + 4*v**3 - 5*v**3 - 4*v**3 - v**3 + 4*v**3 - 5*v**3 + (-2*v + v - 2*v)*(33*v**2 - 5*v**2 + 34*v**2).\nAnswer: -187*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-279)\/117) - (2424\/152 - 3)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1203 + -1197.994. Let r = -0.006 + n. What is the second biggest value in r, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**4\/3 - 59*u**3\/6 + 3*u**2 - 604*u. Calculate c(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43 - 1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-8)*((-37)\/((-777)\/252) + -16).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Suppose -12 = 2*j + 4*m, 0*j - 5*m = -u*j - 11. Calculate the common denominator of -49\/20 and (-2877)\/56*j\/18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/40)\/(1\/(-160)). What are the prime factors of k\/20*(3 + 18\/4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 109*x + 555 - 278 - 277. Let v(h) = -3*h. What is v(z(w))?\nAnswer: -327*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 35012, 139989, 314914, 559757, 874488?\n\"Answer: -5*m**3 + 35004*m**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 0.41, 1\/5, -1.075?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6601085539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + 24. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 - 5*p**3 - 5*p**3 + p**2.\nAnswer: -6*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 78*i - 2735. Let u be t(36). Put u, -24, 0 in ascending order.\nAnswer: -24, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2532971*a*n**2*w - 77*a*n*w**3 - 402*a*n*w - 2*a*w**3 + n**3*w**3 + n**3 - 9*w**3 wrt n.\nAnswer: 5065942*a*w + 6*n*w**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 5288\/603 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -16a82777?\nAnswer: 16a82767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, -4, -150 in ascending order.\nAnswer: -150, -4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/11592600 and 13\/1043334?\nAnswer: 104333400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34566 is divided by 10749.\nAnswer: 2319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-3 - 1) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utgk when four letters picked without replacement from {k: 6, s: 2, t: 5, g: 2, u: 1, e: 1}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9 = -5. Calculate the remainder when 50 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9362.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w + 9. Suppose 0 = -5*x - w*i + 35, 4*x + i - 8 - 8 = 0. Let g(k) = k**2 - 4*k - 18. Let c be g(7). Is x < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 800 and 57440?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*l - 13, -104*k = l - 99*k - 40. Suppose -2*w - 7 + 1 = 0. Put 1, w, l, 6 in increasing order.\nAnswer: w, 1, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/14 and -65\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 1. Let m(q) = -2*q**3 - 7*q + 2. Give m(b) - w(b).\nAnswer: -2*b**3 + b**2 - 7*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**3 - 5*a - 5. Let c = -430 - -435. Let x(g) = 3*g**3 - 4*g - 4. Give c*x(r) - 4*d(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3212 - 22.0388. Round i to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, m: 2, p: 7, r: 3}. Give prob of picking 1 j and 2 m.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4534*d. Let v(l) = -4*l. Calculate v(k(r)).\nAnswer: 18136*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:22 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**4\/12 - p**3\/3 + 3*p**2\/2 - 6*p + 4. Let m(w) be the first derivative of c(w). Factor m(f).\nAnswer: -(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 5. Let a be z(-8). Suppose -2*d = 2*p - 3*p + 1, -d + a*p = 3. Suppose d = v + 3*v - 3*s - 71, -4*v - 4*s + 64 = 0. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 4*u + 24, -2*y + 0*u + 4 = 5*u for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2990.9 + -2990.90015865. What is a rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 409*i + 2. Let u be f(-1). Suppose 4*l - 2618 - 286 = 0. Let r = u + l. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 10*c**2 - 18*c - 20. What is m(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -5*o**7\/42 - o**6\/3 + o**5\/4 + 5*o**4\/6 + 27*o. Solve h(t) = 0 for t.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -0.5, 2\/7, 109, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -59*i + 23. Let a = -69 - -63. Let n be -2*a*(-2)\/8. Is s(n) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 4. Let g(u) = u + 6. Let c be g(-5). Let y(f) = -15*f + 1. Let l be y(c). Does 5 divide i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776398 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/37)\/(108\/(-1332))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 4.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 46*b**5 + 2*b**2 - 2*b + 2. Let t(x) = 45*x**5 + 3*x**2 - 2*x + 2. Let z(k) = 3*p(k) - 2*t(k). Find the second derivative of z(o) wrt o.\nAnswer: 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14176 + 14173. What is the closest to 0.2 in -0.11, -4, u?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 7*o + 1. Let f be t(6). Let z be (-1 - 3\/(-2))*2. Let k = -68 + 70. Which is the third biggest value? (a) f (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-13 - (-3519)\/9)*123\/4*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -6. Calculate the remainder when -6 - -9 - -6*i is divided by (-1)\/(-4) + 23\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 4 = 6*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 7*n - 28 + 5*n + 0. What is the lowest common multiple of (5 - 3) + 2\/1 and p(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -548\/9 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 81371, 534 in increasing order.\nAnswer: -7, 2, 534, 81371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b7 - -55d5?\nAnswer: 4f1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -2, -5, 8, 43?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.030730127?\nAnswer: -0.369269873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.14 - -7. Let t = n - 0.5. Let z = t + 0.34. What is the biggest value in 3\/7, 5\/2, z?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/31*1)\/(((-420)\/35)\/(-72))?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3 = 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from juqwqse.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27120999 to the power of 1\/2, to the nearest integer?\nAnswer: 5208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2186258\nAnswer: -4372516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14946500055 + 0.5.\nAnswer: 14946500055.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -472222*l**4\/3 - l**3\/3 - l**2 + 10*l. Let a be t(3). What is a rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1921 and -1.\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (2 + -24 - (126 + -140) - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6689, -6701, -6713?\nAnswer: -6725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 3:35 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1646*h**3*r**2 - 45*h**3*r + 82*h**2*r**2 + 921*h**2 - 3*h*r wrt h?\nAnswer: -9876*r**2 - 270*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -5, -4\/9, -142711 in decreasing order.\nAnswer: -1\/3, -4\/9, -5, -142711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 0. Let v = 14 + s. Suppose n + 5*k = 6*n + 10, -v = -4*k. Is -2 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.73 - 6.73. Let u = 1 - 4\/3. Suppose 0*o = o + 1. Put o, u, d in decreasing order.\nAnswer: u, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 266360 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19924152?\nAnswer: 2, 3, 830173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {s: 5, o: 3, f: 2, u: 7}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.0133 hours in days?\nAnswer: 0.5838875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.098? (a) 0.0487 (b) 5\/4 (c) -9 (d) 0.1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waa when three letters picked without replacement from {i: 1, w: 1, u: 1, a: 3, m: 2, t: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (18 - 11 - (-268)\/(-19))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/42 - (-130)\/(-12). Let a(w) = -w**2 - 11*w - 2. Let o be a(h). Let i = 4 + o. Solve 0 = i*p - p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-7 - -10) - (-7 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 8.8895.\nAnswer: -1.7779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 9) to base 12\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (1 - (-1 + 11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 31*a**7\/42 - a**4\/8 - 7*a**3\/3 + 2*a**2 - 10*a. What is the second derivative of j(s) wrt s?\nAnswer: 1860*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 459, 787, 1117, 1449, 1783?\nAnswer: 2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -676 from -150173.125.\nAnswer: -149497.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -97. Let n = h + -274\/5. Let b be (2\/(-3) + 1)*(-54 - -55). Sort b, -0.2, n in decreasing order.\nAnswer: b, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15550 * 452.\nAnswer: 7028600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1499 - -1512. Solve a*u - 30 = 7*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 2*v**2 - 6*v - 7. Suppose -2*u + 64 = 76. Let p(k) = k + 1. Let l(n) = n**2 + 4*n + 2. Let h be l(-3). Determine h*d(b) + u*p(b).\nAnswer: -2*b**3 - 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -288, -705, -1338, -2205?\nAnswer: -3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -37)\/3*-1. Let l = r + -4. What is the remainder when l is divided by 5 + -3 - (-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1044884 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a day in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j - 3. Let d(u) = 8*u - 4. Let v(f) = 6*d(f) - 7*n(f). Let a be v(-9). Suppose 22 + a = 4*g. Which is bigger: 29\/4 or g?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000044484 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -977656 - 1c?\nAnswer: -977675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 f, and 1 b when four letters picked without replacement from frbrfrrbbb.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1574, 1771, 2080, 2495, 3010, 3619, 4316, 5095?\nAnswer: 5950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 times -69?\nAnswer: -23943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**4 + 4504*q**3 + 1135068*q**2 - 3445848*q = 0.\nAnswer: -742, -387, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 y when four letters picked without replacement from ykkyynnn.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73475 is divided by 628.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 2\/(-4 + (-50)\/(-12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 362663178 and 25962.\nAnswer: 362663178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628, -648, -682, -730, -792?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 1459*z**3 - 473*z**3 + 8*z.\nAnswer: 986*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 563027.9 micrograms to nanograms.\nAnswer: 563027900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4*z - 2, 4*h - z - 4 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -570 (base 10) in base 8?\nAnswer: -1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Which is the third biggest value? (a) -4\/3 (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4333893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -800 * -788.\nAnswer: 630400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -6*m + 20. Suppose 3*n + z - 5*z = 28, -4*n + m = -z. Suppose 84 = n*a - 0*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**3 - 7*j**3 + 2*j**3 + (0*j**2 + 0*j**2 + j**2)*(-4*j + 3*j + 2*j) + 2*j**3 - 2 + 2 to t*j**2 + k + b*j + n*j**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*o, 4*k = -0*k - 2*o + 2. Suppose -j - 2*j + 14 = 5*f, -k*j - 24 = -5*f. Let n(s) = 0*s + 4*s - 3*s. Calculate n(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 4356.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/6))\/(j*j*((j**(3\/2)\/j*j)\/j)\/j))\/(j**(1\/3)*j*j**(-3\/4)*j))**(11\/7) assuming j is positive.\nAnswer: j**(-253\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363 = 13*k - 32*k - 102*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14400\/(-10500))\/((-3)\/10). Suppose 2\/7*o**2 + 16\/7*o + c = 0. What is o?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.31328 years to millennia.\nAnswer: 0.09231328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*z**5 + 365*z**4 + 2*z**3 - 552968*z**2.\nAnswer: -1080*z**2 + 8760*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12021*f = 12095*f - 3108 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:07 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.04 and 1459590.9.\nAnswer: 1459591.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -31, -1, -4 in increasing order.\nAnswer: -31, -29, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 9*o + 8*o - 24, 0 = j - 5*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 414204 - -51025?\nAnswer: 505233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 36*q**2 + 26. Let o(f) = -3*f**2 - 6*f - 7. Let g be o(-5). Let j(u) = -4*u**2 - 3. Let c(h) = g*j(h) - 6*w(h). Let d(v) = v. Determine c(d(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12115 * -2354.\nAnswer: -28518710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072211 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90554705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -7 + 0*s + 5\/22*s**4 - 2\/55*s**5 + 3\/11*s**2 - 14\/33*s**3. Find m such that b(m) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 9:19 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-7 - (-10 - -14) - (6 - 11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9939 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: Evaluate (16 + -30 - -11) + 17 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.461 + -9.8. Let q = r + 0.439. Which is the nearest to -1? (a) q (b) -1 (c) 2\/17 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 10*h - 1376912*h**2 + 1376619*h**2 as v*h + o*h**2 + u and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -655, -960, -1851, -3640, -6639?\nAnswer: -11160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437333 and 14703.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 288.67175 to the nearest integer.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115543 + -47 - 1*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83*-0.002\nAnswer: -0.166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 309 - 80 + l + 271.\nAnswer: l + 428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 10*w - 252 = 0. Suppose k - 158 = w. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 5*m**2 + 4*m + 4. Let t be n(-5). Let z = t - -31. Solve 0 = h - 4*h + z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2 - 6. Solve -3*y + 4*y = h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + p**2 + p + 4. Let b(n) = -n**3 + 11*n**2 - 29*n - 8. Let y be b(7). Let q be (-4)\/((-36)\/y)*252\/(-140). Give z(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8 (b) 309 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 46.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 4. Let u be l(1). Let s be (13\/(78\/8))\/(u\/12). Suppose 188 = s*i - 116. What is the remainder when 111 is divided by i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/4 - 27*q**3\/4 - 91*q**2\/2 - 33*q + 306 = 0.\nAnswer: -17, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5516667437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30823*q + 948 + 1196 = 30756*q for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 658253?\nAnswer: -658258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/11816 and -11\/3798.\nAnswer: 106344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 + p + 1. Let i be x(-1). Let b be 14\/4*(-24)\/i. Is 21\/(-2)*(-56)\/b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose -4*v - 15*z = -16*z + 7, -18*v - 5*z = -35. Let n = -0.3 - 0.1. Which is the nearest to v? (a) n (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(208) + -2 + sqrt(208)*-1 + sqrt(208) + sqrt(208) + sqrt(208) - (sqrt(208) - (sqrt(208) - (sqrt(208) + -1)*4) - sqrt(208))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 14*g + 16*g + 4 as i*g + z and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 202695\/9 - 164\/(-123) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -475*y + 473*y + 2554, 4*d = -3*y + 5114. What is the least common multiple of d and 8?\nAnswer: 10264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(16)*-1)\/(-3*-6*sqrt(8)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0005 - 0.0595. What is the nearest to -4\/11 in -2\/15, z, 0.2, 0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 78*q**2 - 2451*q + 1057. What is z(-102)?\nAnswer: 1363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 32 = 2*g, -6 = -5*h - 3*g - 62. Let a(t) = -t - 15. Let p be a(h). What are the prime factors of 2\/4 - 23\/p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41202 to three dps.\nAnswer: -0.412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -559.058 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + -2 + sqrt(1100) + -2*6*sqrt(704) + 1)**2*-3.\nAnswer: -244071 + 516*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209113*f = -208801*f + 12168 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -4\/7 (c) -5 (d) -4.332 (e) 5 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -1\/27, -115, -4, -110\/9 in decreasing order.\nAnswer: 10, 0, -1\/27, -4, -110\/9, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2585)\/(-20) + 20\/(-16). Calculate the greatest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*c**2 + 4 + 0*c**2 to b + p*c + j*c**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 897445, 1794880, 2692315, 3589750?\n\"Answer: 897435*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.093554599\nAnswer: -0.467772995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028540318 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 1. Let w(s) = 3*s**2 + 3. Calculate g(w(f)).\nAnswer: -3*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - ((-1)\/6 + -1). Let d be 18\/15*5\/2. What is the second smallest value in d, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199006906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 63. Determine h(50).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 5)*(4*c - 2*c - c).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396 - 76. Find the third derivative of 320 - i + 4*q**5 - q**2 wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-77)*6\/(-4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/4 + 5*w**3\/3 - 3*w**2\/2 + 3*w + 4. Calculate the remainder when 19 is divided by b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -44 - 4. Suppose 4*a = -a + 5*g + 30, 2*g = a - 9. Solve i = -4*t - 0*t - 16, a*i = -4*t - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28302, 113145, 254550, 452517, 707046, 1018137?\n\"Answer: 28281*f**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*b = -62*b - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 725.488 + -0.53746935\nAnswer: 724.95053065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1237 - -661. Is 1 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5 + -13949240?\nAnswer: -13949253.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in -2, 4, 29, 462?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1 + 2*s**2 + s + 1 + 5*s. Suppose 1 = 5*l - 9. Let x(t) = 6*t**2 + 19*t + 7. Let c(m) = l*x(m) - 7*n(m). Factor c(d).\nAnswer: -2*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/5 (b) -0.5 (c) -6742\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 25 = -2*s, 5*t + 5*s + 40 = 0. Let w = -4 - t. Let y be ((-4)\/w - 2) + -1. Is y greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r + 24. Let t = 30 - 42. Let u be k(t). Let v be 1 + 1 + (-3 - 0). Is v less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1063 = -5*o, -3*o - 422 = -5*o - 2*r. Suppose 4*i = o - 77. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 30 = 4*q. Suppose -q*u - 228 = -8*u. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**24)\/(t\/(t*t\/t**4))*(t**(-3\/2))**46 assuming t is positive.\nAnswer: t**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 6*q - 3. Suppose -3*h + 5*a = 13, -3*h + 0*h = -a + 17. Determine m(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39 (b) -2\/17 (c) 64 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence or when two letters picked without replacement from oroosssrroo?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/5 - 94*w**4\/5 - 246*w**3 - 562*w**2 + 1232*w\/5 + 2904\/5 = 0.\nAnswer: -22, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y**3 - 13*y**3 + 0*y**2 - 53166*y + 0*y**2 + 53166*y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3311 - 1653 + x - 1641. Determine i(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + n - n**2)*(-3 + n**2 + 3) + 108*n**4 + 57*n**4 + 32*n**4 to q*n**4 + z*n**3 + a + x*n + s*n**2 and give q.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.5 - -4.2. Let b = -5.4 - k. What is the nearest to b in -0.4, 5, -1.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 9*b. Let r(h) = -2*h**2 - 17*h. Let u = 5763 - 5760. Calculate u*r(o) + 5*t(o).\nAnswer: -o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 35, -0.1, -77?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*r - 15, r = -d + 4*r + 15. Solve -4*v = u - d*u + 10, 10 = -2*v - 3*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l - 5*l + 3*l**2 + 4 - 4*l. Let u be f(4). Let c = -6 - -12. Calculate the highest common divisor of c and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 761875490 to the nearest integer?\nAnswer: 27602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-1 - 2))\/((-3)\/(-2)). Suppose z + 2*m = -0*m + 378, x*z + 2*m = 1488. Suppose 0 = 13*i - 994 + z. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309442687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 2. Let i(s) = -s**2 + 2*s**2 + 0 - 3*s + 2 - 2*s**2. Let n be i(-4). Calculate t(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-24)*4\/3)\/(-1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 2. Let t be j(-2). Suppose 0 = 2*m - 4*d - 28, 3*m + t*d = 7*m - 50. Suppose 3*a - 5*a = -m. What is the least common multiple of 4 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15859867 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115 by -5.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6775\/34 or -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) -0.6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 5*m - 7. Let r be 6\/39 - 111\/(-39). Suppose 3*p - 11 = -4*h, 0 = r*p - p + 5*h - 5. Suppose -5 = 6*y - p*y. Give t(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p**2 + 18*p**2 - p**2.\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 25*p + 372 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-1 - 10) - (163592\/1800)\/(-13). Is a at most 0.13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 8:00 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -2*u - 6, 2*z + 0*z + 3*u + 10 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 + 0.32. Suppose -12 = c + 4*r, 3*c + 2*r + 2*r = -20. Let q = -2.3 - -2.2. What is the closest to q in c, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let y(w) = -w**2 + 2 - 4*w + u + w - w. List the prime factors of y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163949 = 35*w - 432959. Calculate the greatest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 + 0)*(44 - 12 - 20 + 3*q).\nAnswer: -24*q - 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {x: 7, a: 1, c: 12}?\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*u - 51, -i + u + u + 43 = 0. Let c = i - 33. Suppose -c*d - 1 = n, -4*d - 7 + 2 = n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 26 = -3*d, -3*u - 4*d = -u - 2. What is the remainder when 9 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.33 + 4.33. What is the nearest to 0 in y, -1\/4, -4, 10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 8*t + 3. Let z be p(9). Let f be 4\/z*9\/(-2). Suppose -8 = -i - 2. What is the highest common divisor of i and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 20, 33, 50, 71, 96, 125?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/8, -3\/19, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {n: 2, t: 8, k: 2, s: 2, u: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let a(f) = 2*f - 2. Let x(y) = -a(y) - 4*u(y). Let l(d) = -d - 2. Give -4*l(i) + 3*x(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 12 - 18 - 1859*c + 1854*c - 104*c**2 as l*c + a*c**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 117844589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000001010010001000 - -10?\nAnswer: -110000001010010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -29. Let v = -5 + 0. What is the remainder when (14\/v)\/((-1)\/10) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020233 rounded to seven dps?\nAnswer: 0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m + 35, 2*m + 1415 = 4*g + 1405 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402842 is divided by 36575.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 40*v - 122\/3.\nAnswer: 2*(v - 1)*(v + 61)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -0.35.\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 14805, 2, 5, -24, 0, 1 in increasing order.\nAnswer: -24, 0, 1, 2, 5, 14805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s + 6. Let l be x(-4). Let r(c) = -4*c - 1. Let a(k) = 16*k + 5. Let h(y) = 2*a(y) + 9*r(y). What is the units digit of h(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-4)))\/w**(-3\/7)*w**9\/w**(-7))**(-2\/31) assuming w is positive.\nAnswer: w**(-286\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053 + -3134 - (2 + -88)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7*(-1 - -2). Let o = -29467.65 - -29468. Is r at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/190 - 144\/(-76). Let x(a) be the third derivative of -1\/6*a**3 - 1\/60*a**5 + 0 - 1\/24*a**4 + 0*a + 2*a**r. Calculate x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 u when four letters picked without replacement from {j: 3, u: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 6413658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.3031 meters to centimeters.\nAnswer: 2230.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4631 divide 363136642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -140*d**2 - 85*d. Let j(a) = 5*a**2 + 3*a. Suppose 0 = -2*q + 2*i + 336, -860 + 342 = -3*q - 4*i. Give q*j(o) + 6*f(o).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248056621.\nAnswer: 37, 317, 21149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = 11. Let t(h) = -h**3 - h + 1. Let z(j) be the first derivative of j**2\/2 - 7*j + 132. Let c(f) = d*z(f) + t(f). Calculate c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y**3\/5 - 36*y**2\/5 + 4*y = 0 for y.\nAnswer: -5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 257 - 248 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10066 and 32\/7051233.\nAnswer: 14102466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142160, 142158, 142156, 142154, 142152?\nAnswer: 142150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 6*z**2 - 4*z**2. Let t(a) = -2*a**2. Let i(p) = 7*p**2. Let r(m) = -5*i(m) - 15*t(m). Calculate r(q(h)).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2. Let z be (0 - -1)\/(3\/15). Suppose -j + z*t - 5 = 0, -t = 3*j + 4*t - 5. Let o(a) = -2*a + j + 4 - 4. What is o(y(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**4\/4 - 4*f**3\/3 - 5*f**2\/2 - 2*f - 2. What is the units digit of r(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 310301?\nAnswer: -310102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 263 and 196461.\nAnswer: 196461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 336*o - 97. What are the prime factors of b(3)?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10776849 is divided by 906?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(9 + -17) + (-2 - (-744)\/126)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 7*b**2 + 7*b + 2. Let l be a(-8). Let y = -10 + l. Let d be ((-12)\/15)\/((-6)\/15). Solve -z + d + 2 = y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-460)\/36*(-13)\/(845\/(-39))\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.579816 + -76.8. Let c = 0.22 + g. What is c rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1958\/165 + (-2)\/(-15). Solve 0 = -4*a - b, 5*k + 5*a = -25 + 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 2\/11 (c) 33 (d) 8 (e) 0 (f) 0.007\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - 122*y - 93. Let q be x(-40). Let u(t) = 4*t**3 + 51*t**2 - 11*t + 5. Determine u(q).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m + 79. Let r(l) = -7*l - 118. Let x(z) = 7*k(z) + 5*r(z). Let u be x(8). Solve v + 3*a = 1, 4*v + 3*a + u = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 19*u + 0.\nAnswer: 19*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3649692, 3649562, 3649432?\n\"Answer: -130*n + 3649822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from nnjnnnnnnnnnn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011187384 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*-2 - (-4 + sqrt(10)\/sqrt(2)).\nAnswer: -25*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12*(-40)\/(-10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m + 32 - 50 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*l - 3*l + l**3 + 0*l + 12 + 3*l to u*l + d + m*l**3 + s*l**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - -1111000100?\nAnswer: 1111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3107 + 8153. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -21*m**3\/5 - 24688*m**2\/5 - 618492*m\/5 + 47840 = 0?\nAnswer: -1150, -26, 8\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a = 0. Let j = 0 - 5. Let z = 717\/6239 - -1\/367. What is the fourth smallest value in a, z, j, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17309664 - 4009664. Round i to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/7 - 1*-4. Let k be n + (1 - 2 - 10). Let s = k - -48. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266 + -264.57. Let x = i - 0.8. Round x to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 50*h**2 - 105*h - 47. Determine j(-52).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n**3 - 8*n**2 + 4. Let g(k) = -k**3 + 1. Let b(s) = -4*g(s) + r(s). Find the third derivative of b(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r + 2*v + 2 = -42*r, -1 + 15 = -3*r + 2*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 + 985*a**3 - 15581*a**2 + 74711*a - 94962 = 0 for a.\nAnswer: 2, 7, 969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2874)\/4311*5\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10153 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 - -220\nAnswer: 217.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/38021 and 1\/2.\nAnswer: 76042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3 = 66. Let g(h) = -h**3 - 8*h**2 + 2*h - 13. Let k be g(r). What is the second derivative of -k + 2*d + 8*d**3 + 50 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Suppose 2*t - 18 = 4*o, -t + n*o = -2 - 13. Suppose 3*h + 8 = 5*h. Solve 0 = h*c + 16, -t*c - 11 = -0*d + d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66133 or -2?\nAnswer: -66133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 60, 0.3, -4\/5, 78, -0.21?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/228258 and 65\/1134.\nAnswer: 1597806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 30\/3619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -27*i**2. Let m(n) = -296*n**2 + 502*n**2 + 612 - 612 + 576*n**2. Give -4*m(k) - 115*z(k).\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1961479 and 1149614.\nAnswer: 1149613.8038521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.1821 - 9.17. What is w rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-1 + (-6)\/3). Suppose 4*m - d = 2*m. Sort m, 8, -2.\nAnswer: -2, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 48*t**2 - 101*t - 4. Let j be g(2). Let i(h) = 4*h**3 - h**2 + 5*h. Let m(b) = -16*b**3 + 4*b**2 - 20*b. What is j*m(s) + 9*i(s)?\nAnswer: 4*s**3 - s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oonnno. Give prob of sequence nnoo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/90 and -31\/150.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14310\/1113*2\/(-20)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**3\/3 - 2*v**2 + v + 1. Let n be (-5)\/(-2)*20\/50. Let k be (-3)\/(-9)*15*n. Determine r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 3*d - 2. Let c be f(4). What is the remainder when (2\/c)\/((-2)\/198) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 0*r + 0*r)*(17 - 9 - 4).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*d - 192*d - 380 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 11}. What is prob of picking 1 v and 1 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48626\/595 bigger than 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + -6bd?\nAnswer: -6d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(72\/10) - 1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73771142017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -28134 (base 12) to base 16\nAnswer: -d8b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -14*y - 480. Let w(g) = 119*g + 4032. Let d(k) = 42*i(k) + 5*w(k). Let z(f) = 221*f**2. Determine d(z(r)).\nAnswer: 1547*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-7)*r*r**(-7))**(30\/13) assuming r is positive.\nAnswer: r**(-360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + ((sqrt(272) + -2 - (sqrt(102)*-2)\/sqrt(6))**2 - ((sqrt(153) + (sqrt(153) + (-2 + sqrt(153))*-6 - sqrt(153)))**2 + 2))).\nAnswer: -1680*sqrt(17) + 16750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(180) + 2*sqrt(180)))\/(sqrt(90)*-3))\/((sqrt(66)\/sqrt(176) - sqrt(6))*1*3).\nAnswer: -16*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4*((-3150)\/(-4620))\/(10\/(-55)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (12 + 2 + -5) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(20)*-3 + 1)*-1)**2.\nAnswer: -362 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 720*l**3 - 2 + 6*l - 719*l**3 + 18*l as u*l + n*l**3 + w + f*l**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8753 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -5\/42*a**7 - 8 - 35\/6*a**4 + 10*a + 0*a**2 + 2\/3*a**6 + 3\/4*a**5 + 20\/3*a**3. Solve b(q) = 0 for q.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 89. What is the fourth smallest value in 3, q, 1\/5, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7}. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*v + 6. Suppose z = 2*z - v. Let y = 2 + z. Calculate the remainder when y is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 482, 481, 480, 479, 478?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6 - -5)\/(1\/4)*-1 and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*d*x**2 + 12*d*x - 1037*x**2 wrt d?\nAnswer: -4*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 - (22 - 37) - -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r + 2. Let b be 88\/r*21\/(-14). Suppose -4*g + 14 - 47 = -3*i, 4*i + 2*g = b. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 6*j**2 - 2*j**2 + j**2 - 2*j**2 + 2*j**2 + (-2*j - j + 4*j)*(j + 25*j + 4*j) in the form v + t*j**2 + i*j and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 o when four letters picked without replacement from iiooaaoiaia?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i - 24. Let u be n(8). Suppose -47*m - 34 = -u*m. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 5:04 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1552 and 160826.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -63 (b) 0.6 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-58)\/(-100) - (-6)\/(-12). Let z = -21\/50 - i. Let f be 1 + 2*2\/(-4). Which is the nearest to 1? (a) 4 (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -52408 - 4?\nAnswer: -5240c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 633*h**3*m - 2*h**3 - 2*h*m - 548 wrt m.\nAnswer: 633*h**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10104 + -1?\nAnswer: 10103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218313191 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: Let k = -286 - -217. Let m = 65.3 + k. Is m equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -18) + -7 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1 + 13 = 0. Let z = 237.08 + -237. Sort f, 1, z in descending order.\nAnswer: f, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74 in 1\/10, -0.5, -0.2, -0.4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**3 + 7*u**2 - 3 - 7*u**2)*(3*u - 6*u + 6*u) + (-2*u + 4 - 4)*(-3*u**3 + 3*u - 3*u).\nAnswer: -12*u**4 - 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwhhyywhahhhhhhawhhw. What is prob of picking 1 w and 2 a?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 704537.8ng?\nAnswer: 704.5378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.2. Let f = -20 + 102\/5. Which is the nearest to f? (a) u (b) -2\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -4.62694.\nAnswer: -4.62694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -69.5. What is the nearest to 4 in l, -0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0 (b) 0.01 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*1*sqrt(209)*-1)\/((sqrt(1584)*2 + sqrt(1584) - sqrt(1584))*-2).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 - 67. Suppose 16*g - 11*g - 20 = o. Solve 0 = -5*r + g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g*g*g*g*g**0))\/(g\/g**(-3\/5)))**(-2\/19)\/(((g**(-2)*g)\/g*g)\/(g*(g**5\/g)\/g))**(-6\/19) assuming g is positive.\nAnswer: g**(-104\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 29 - 7 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -2\/7, 12, -16789?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -104.6?\nAnswer: -104.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 19444560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 + 2*a**2 + a - 2. What is the remainder when 83 is divided by x(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 7 (b) -2\/13 (c) 0.4 (d) -0.049 (e) -1 (f) -0.92 (g) -25\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*d**2 + 6762*d - 2433854 wrt d.\nAnswer: 122*d + 6762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 9 - (-30 + 18 + 20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n - 33560 - 33560 + 67103)*(2*n + n - 2*n) to the form b + k*n**2 + x*n and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -14 + (-5 - -9) + 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-27) - 1147\/(-1395)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126604919.\nAnswer: 7, 18086417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -65*c - 644. Let d be v(-10). Solve -2 + d = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2623961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let k(t) be the second derivative of -14*t**3\/3 - 3*t**2\/2 + t - 113. Determine v(k(d)).\nAnswer: -784*d**2 - 168*d - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. Suppose -2 = -2*g - 3*a, -4*a - 1 + 13 = t*g. Calculate the lowest common multiple of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/220826 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + -2 + -3 + 24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 213576464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 282481920 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -435093.\nAnswer: 217546.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 14. Calculate the remainder when h(-30) is divided by -20 + 402\/21 + 279\/7.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21709 + -21705. Solve 5*t - 2*o - 16 = 0, 0 = d*t - 3*o - 12 + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 28 - 4. Calculate the remainder when 46 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41735, 83545, 125353, 167159, 208963, 250765, 292565?\n\"Answer: -j**2 + 41813*j - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + u = 348. Let j be (-17)\/(-4) + (u\/8 - -7). Let t be (-1)\/j + (-450)\/(-72). Is t at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-17 - (-9 - -12 - 4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*y + 62*y**3 + 24*y**3 + 75*y**3 + 169*y**3 - 72*y wrt y?\nAnswer: 1980*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/5 and -105\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.1 (c) 51001981\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkutuuunudtt. Give prob of picking 2 d.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 133*x - 659. Give q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/541 (b) 4 (c) -2\/31 (d) 0.1 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*u + 10*i - 7*i, -2*i = 4*u - 24. Suppose -u*r + 88 = -4*j, 2*r = -5*j + 2 + 7. Suppose r = 15*q - 28. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 10 + 35. Suppose p = -x*n + 25, -2*n - 3*p + 0*p + 10 = 0. Find the first derivative of 3*q + 4 + n*q + 0 + 5 wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 8, -39670, 2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s\/s**(1\/3))\/s)\/(s*((s*s**(-2\/13))\/s*s)\/s))**(-42))**(-11\/2))**(-2\/17) assuming s is positive.\nAnswer: s**(1078\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-1 + -4) - -1. Suppose 0*y = -y + 13. Suppose 4*u - 57 = 2*k + y, -5*k - 95 = -5*u. Solve u = -j + w*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -895*c**3 - 931*c**3 + 2089*c**3 + (-5*c**2 + c**2 + 3*c**2)*(-c + 4 - 4)*(4 - 1 - 4).\nAnswer: 262*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2992 and 1408.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (2 - -2) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + (2*sqrt(72))**2 + 0)*3.\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1705272337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*z + 4*m, -3*z + 84*m - 80*m = 56. Suppose 0 = -3*u + 4*u + 61. Sort u, z, 2 in descending order.\nAnswer: 2, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 4*r + 3. Let t be x(4). Suppose 0*j - 24 = -2*h - 3*j, h + 3*j = 9. Suppose 5*b + h = 5*a, 0*a + 4*b - 8 = -a. Solve t*y = -a + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 84\/(-20))\/((-4)\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.94 + 1.9. Let q = -0.26 - -0.1. Let b = q + x. Is 1\/4 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 102\/11, -1\/12, -1\/3, -28, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-1)*2\/6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1022 (b) 6 (c) 0.4 (d) -4 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20*u + 419. What is j(11)?\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 1, s: 1, o: 1, l: 3, f: 12}. What is prob of picking 3 l?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -8. Let q be t\/(2\/4) - -14. Calculate the greatest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -2204020210?\nAnswer: -2204020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*a - 21 = 0, -r = -4*a - 4 - 8. Let z = r + -22. Let k = z - -12. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhwxxhhhhhhhxhhhxh. What is prob of picking 3 x and 1 h?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n + 15*n - 18*n**2 + 4 + 9 + n**3 + 0*n + 6*n. Calculate w(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-2 + -2) + 5. Let d = 284 - 3690\/13. Is d > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**5\/11 - 60*k**4\/11 - 58*k**3\/11.\nAnswer: -2*k**3*(k + 1)*(k + 29)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + 19. Let o = 32 - a. Let g = 7.9 - 2.9. Sort g, o, -0.3.\nAnswer: o, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g**14*g)\/g)\/g)\/(g\/(g\/(g**(-6\/19)\/g)*g)))**(-12))**(3\/7) assuming g is positive.\nAnswer: g**(-10476\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1, -3\/5, 3, 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62536912369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.8 * 10.93.\nAnswer: 150.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 823726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -845.1 - -845.1. Which is the second smallest value? (a) -248 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 755963.1l in millilitres?\nAnswer: 755963100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*9\/81*-2*1\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*g - 4, -3*t - 3*g + 276 = 0. Let w be (-2)\/(-3)*10788\/232. Calculate the highest common factor of t and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 993*n - 1203*n + 5880 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)*p**(-2\/15)*(p*p*p**(1\/2))**(-37) assuming p is positive.\nAnswer: p**(-3019\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 272*p**2 + 353*p**2 + 42*p**2 + 230. Let u(g) = -35*g**2 - 12. Let j(s) = -6*i(s) - 115*u(s). Let w(q) = -2*q. Determine j(w(a)).\nAnswer: 92*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11+473677\nAnswer: 473688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 + -110. Let g be 6 - 2 - ((-36)\/4 + q). Solve 0 = -t + 3*t - g*m + 8, -5*m + 16 = -4*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*l - 142 = -148, -2*t = 2*l - 3 - 10 + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1176976 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -604343*l - 2. Let a(w) = -2*w**2. What is z(a(g))?\nAnswer: 1208686*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21257515 to the nearest integer?\nAnswer: 4611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f + 10*f + 4*f)*(-9 + 4 - 62).\nAnswer: -536*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137305 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 18 = -0*d. Let o = d - 6. Solve -y + o = 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -66*n**3 + 11*n**2 + 29*n + 2. Is s(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 45*z - 1. Let a(j) = 89*j - 2. What is -3*a(x) + 5*u(x)?\nAnswer: -42*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35077 divided by -14163.\nAnswer: 35077\/14163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:06 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {h: 5, e: 14}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 4.1. Let y = d + 4. Let b = y + 1. Do b and -0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**2\/3 - 488*x\/3 + 59536\/3 = 0.\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -455460000 to the nearest 1000000.\nAnswer: -455000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)\/y**(-4))\/(y**(-2\/5)\/y)**(-2\/47)*y**(-1\/2)*y**(-1\/14)*y*y**(-1\/4)*y**(-1\/2) assuming y is positive.\nAnswer: y**(-9087\/6580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/7 - 240\/(-45)*(-51)\/476\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5474*b - 43766. What is s(8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l + 15*l - 9 + 3 to t*l + f and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38669 by -155.\nAnswer: 38669\/155","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8 - 21*q - 42*q + 43*q. What is the hundreds digit of w(-41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-122)\/(-61)*10\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 12. Suppose -296 = -67*y - 7*y. Let n(i) = -y*i + 15*i - 7*i - z*i. Let v(u) = 54*u. Give v(n(p)).\nAnswer: 54*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 200. Suppose -a = -m - 3*m. Factor 98*x**4 + 47*x**2 + 48*x**2 + m*x**2 + 252*x**3 + 16*x.\nAnswer: 2*x*(x + 2)*(7*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-8 - (-1)\/1). Let o = q - 3. Suppose -o*l = 13 + 7. Let z(r) = -r - 3. Give z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 145, 146, 147, 148, 149?\n\"Answer: k + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 477.9 (b) 0.8 (c) -0.15 (d) 2\/13 (e) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 611879, 611878, 611877, 611876, 611875, 611874?\nAnswer: 611873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8897640 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnyjnnnnnjhjjjn. What is prob of picking 1 h and 2 n?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) 0.4 (c) 0.1 (d) -237\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) + 4*1\/6. Suppose 0 = 4*l + 5*m + 7 - 39, -4*m + 19 = l. Suppose -15 = l*q - 8*q. Solve b = q*n - 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1. Let b(m) = -m**2 + 7*m - 11. Let f(j) = -b(j) - q(j). Let d be f(5). Suppose 0 = 4*x + d*r - 12, 9 = 3*x + r + r. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/((-5)\/60). Let g = 2 - i. Calculate the remainder when 23 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, 1 e, and 1 o when four letters picked without replacement from {f: 1, o: 4, e: 4, p: 2}?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184*x**2 + 28*x**2 + 674 - x**3 - 24*x**2 - 122 with respect to x.\nAnswer: -3*x**2 + 376*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.404 + -4.424. Let k = y - -1.02. Let j = -33.2 + k. What is j rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 313.4 - 311.859. What is z rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 k when three letters picked without replacement from {k: 1, c: 7, j: 5, p: 1}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5943?\nAnswer: 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 50434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36 and 5\/33227521.\nAnswer: 33227521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671.9743 decades to millennia.\nAnswer: 6.719743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.5, 167.1, -27\/13, -2\/427?\nAnswer: -27\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26358037, -52716074, -79074111, -105432148, -131790185, -158148222?\n\"Answer: -26358037*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -371419 - -620419. What is a rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734694275?\nAnswer: 5, 7, 151, 27803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81058302 by 39.\nAnswer: -2078418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 784167928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 130. Let g be (d\/(-4))\/((-6)\/(-12)). Let i = 97 - g. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41476 - 13343347.\nAnswer: -13384823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13927296 divided by 192\nAnswer: -72538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/23)\/(20\/55). Let a = b - -1\/138. What is the third smallest value in 2\/5, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 834?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 7*f - 15. Let b be d(11). Let x be b\/(-6)*(-6)\/4. What is the lowest common multiple of x\/10 + (-26)\/(-65) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 60 = -2*r, 2*r - 47 - 7 = 2*y. What is the remainder when r is divided by 1909\/83 + (-10 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 11*n**2 + 16*n - 12. What are the prime factors of v(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.3, 11932, 4, -73.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 218 = -16*q + 135, -4*y - 114 = -5*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 6 = 4*o + 2*k, -3*o + k = -11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102438487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**3 - 7*i**2 + 8*i. Let m be u(4). What is m rounded to the nearest 10?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 5. Let i(x) = 1. Let t(v) = -v**2 - 5*v - 5. Let b be t(-6). Let w = b + 8. Calculate w*i(u) - m(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1276*u**2 + 2550*u + 3. What is d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/7)*f**3)**(3\/16)*(f**(-1\/7)\/f**(-3))\/(f**(-1\/4)\/f)**43 assuming f is positive.\nAnswer: f**(229\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -16. Let w be -4 + h*4\/(-8). Suppose -882 = -b + a + 77, w = 5*a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, -0.5, 2, 56?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2211 divided by -3?\nAnswer: -737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 497247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3, -8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -23.89. Let r = 2.03 - l. What is r rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -2 (c) 0.02 (d) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)*((15000\/700)\/(-25))\/(6\/112).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -63. Let d = -43 + o. What is the highest common factor of 420 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*s + 115*s - 60*s to the form r*s + v and give r.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434222 + 90229 = 3*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0*s - 4*s + 13654 - 13657 + 3*s. Suppose -3*u + 3 + 12 = 0. Give r(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-1 - h + 1) + (-7 - 1 + 3)*(-4*h + 7*h + 2*h)*(-3 - 5 + 6)*(-1 - 3 + 2).\nAnswer: -102*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -2243*p**6\/120 - 143*p**3\/6 + 549*p**2. What is the first derivative of t(b) wrt b?\nAnswer: -6729*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 2*n + 2. Let l be h(0). Let v be -1 + (l\/3)\/((-4)\/(-102)). Calculate the greatest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v + 4 - 3 - 1. Let t(f) = f + 2. Let z(b) = 5*b + 11. Let h(c) = 11*t(c) - 2*z(c). Determine h(n(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 + -133. Solve 2*n = -4*j + s, -2*n + 2*j = 6 + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.429 and 33.\nAnswer: 14.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*c*f + 9*a*f - 3*a - c*f + 915*c - 2*f wrt f?\nAnswer: 2*a*c + 9*a - c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. Let j(w) = -4*w - 9. Let s be j(-6). Solve -p - z*p = -s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2522*a**2*d*j + 3*a**2*j**2 - 658*a**2 - 32*a*d - a*j**2 - d wrt j?\nAnswer: 2522*a**2*d + 6*a**2*j - 2*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-16)\/96)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggrggggggggggggg. Give prob of sequence ggr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**5\/2 - 2*o**4 + 8*o**2 + 8*o = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.05076 - -0.06996. What is z rounded to one dp?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1736651 (base 9) in base 5?\nAnswer: -222004443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y. Let v(x) = 21*x. Let a(i) = 3*i. Let c(r) = 27*a(r) - 4*v(r). Determine c(l(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 17*o - 18*o + (-2 + 2 - 2*o)*(0 + 2 - 4))*(-2*o**3 + 3*o - 3*o).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486509?\nAnswer: 486509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*h - 62*h + 5*t + 1 = -4, 4*t + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrvysrrryrr. Give prob of sequence yy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-2 - -5) - 1. Suppose -t - 2*m + 362 = 3*m, t - k*m - 332 = 0. List the prime factors of t.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 314, 5, -28, 3\/8, -0.02 in ascending order.\nAnswer: -28, -0.02, 3\/8, 5, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8177301730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40863680 by -430144.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/3*(-4 + 7). Suppose 3*y + 79 = 4*x + 2*y, -4*y = 2*x - h. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257510?\nAnswer: 2, 5, 11, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aac + -4?\nAnswer: aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:46 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -603, -1307, -1999, -2673, -3323, -3943, -4527, -5069?\nAnswer: -5563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by -5328.\nAnswer: 5\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 37787371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659739.\nAnswer: 3, 47, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*sqrt(30)\/sqrt(3))\/(sqrt(10)\/(sqrt(10)\/sqrt(5))).\nAnswer: -5*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3 + 59*z**2 + 31*z - 30 = 0. What is z?\nAnswer: -1, 1\/2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.361 take away -15?\nAnswer: 14.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 + (-3)\/(-2). Suppose -9 = -n - 2*m, -2*n - 5*m = -21 - 0. Sort n, -4, k in ascending order.\nAnswer: -4, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6 and -23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h + 3*h + 1 - 2*h - 20. Let j be n(-6). Suppose -5*b + 5699980 = 3*d, -3*b = 3*d - j*b - 5700008. What is d rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/4)*o**(2\/51)*(o\/(o*o*o\/(o\/(o\/((((o**(5\/11)\/o)\/o*o)\/o)\/o)))))\/((o*o**(-1\/12))\/o) assuming o is positive.\nAnswer: o**(-4121\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 (base 8) in base 4?\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-2)\/(-8))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -30*m + 1078. Let d be w(36). Which is smaller: -72\/73 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383932 at most as big as 11901899\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:27 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 13*z**2 - 159*z + 1036. Give f(7).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -2\/17, 7914?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjdaaaaajaaadjj. What is prob of picking 1 a and 2 j?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105008516 to the nearest integer?\nAnswer: 10247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/360 + -1489\/2520. Let x = 0.2 + -8.2. Let u = 13 + x. Sort u, 1\/3, t, 0.\nAnswer: t, 0, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(500)*2 + sqrt(500))*5)**2.\nAnswer: 1012500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9753384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3648 - -3648. Solve q = 4*y + 15 - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90113000 to the nearest 100000.\nAnswer: -90100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1450109684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = 21. Calculate the common denominator of -61\/6 and (0 - g\/(-18))*95.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 764978 and 76418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-54)*-16)\/(12*(-12)\/9396)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 413237, 825389, 1237541?\nAnswer: 1649693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2968 is divided by 1473?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1277943866?\nAnswer: 2, 103, 211, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5274997.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 50 = 7*a. Let d be (-10)\/a - 5284\/(-10). Suppose -d = -14*h + 11*h. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107 and 321.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/173 (b) 4\/3 (c) 0.5 (d) 9\/46 (e) 0 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9e - -6c?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3837.\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -63305358 minus 0?\nAnswer: -63305358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f + 80472 = -208*f + 659*f + 472*f for f.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53077 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01001 to 4 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**2\/4 - 12945*s - 25885 = 0. What is s?\nAnswer: -10354, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**6\/(h*h*h*h**4*h))\/(h*h**2*h)**(3\/4))**(-20))**42 assuming h is positive.\nAnswer: h**4200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w - 20*w - 280 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/7 - 20\/7*a + 8\/7*a**2 = 0.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-3\/4)\/c))\/c*c*c)\/c**(-1\/3))\/((c*c**(2\/9))\/((c\/c**(-6))\/c*c)) assuming c is positive.\nAnswer: c**(355\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 0*c**4 - 5*c - 26\/5*c**5 - 5\/2*c**2 + 0*c**3 - 45. What is the second derivative of q(k) wrt k?\nAnswer: -312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, f: 1, a: 2}. What is prob of sequence raa?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294130044 divided by 183.\nAnswer: -1607268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6661888*p**3 - 1159570*p?\nAnswer: -39971328*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17187 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: Solve -188 = -41*f - 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u. Let s be z(-3). Suppose x - 19 = -4*j - j, -24 = -4*j - 3*x. Put s, j, 1 in ascending order.\nAnswer: s, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1540)\/1568 - 4\/(128\/(-4))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8204108 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 7. Let i be b(5). Let q = 125 - 61. Suppose -5*p + q = -p + 4*h, 2*h = -i. Solve 0 = -a - 3*a + p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 f when four letters picked without replacement from {d: 1, u: 2, f: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4133040 (base 5) to base 11.\nAnswer: 47013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**6\/960 - s**5\/240 + s**4\/192 + 83*s**2. Find r, given that c(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/130337 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18871708*w**5 + 5*w - 10535752.\nAnswer: -377434160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001899 to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/7 + 118*y**3\/7 + 78*y**2 - 4870*y\/7 - 5300\/7 = 0. Calculate y.\nAnswer: -53, -10, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153002*w + 1119*w**2 - 385*w**2 + 153002*w.\nAnswer: 734*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 12. Let g be (-1*(-3 + 2))\/((-3)\/(-96)). Let s = g - 24. Calculate the least common multiple of u and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42423, -42880, -43641, -44706, -46075?\n\"Answer: -152*u**2 - u - 42270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 14*s**2 + 16*s - 11. Let b be r(15). Sort b, 6, 0.\nAnswer: 0, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -41916985*u**2. Let y(g) = -3*g. Give y(d(l)).\nAnswer: 125750955*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9035065, -18070132, -27105199?\n\"Answer: -9035067*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665.4 rounded to the nearest 10?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 6 + 12. Let y(t) = 139*t - 2. Is y(x) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -297 + 109. Let y = z + 193. Let x(r) = r - 8. Let s be x(9). Which is the fourth biggest value? (a) 0.5 (b) y (c) s (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (19 + -20 - 7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 908, 979, 1088, 1229, 1396, 1583, 1784, 1993?\nAnswer: 2204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 10, 5*x = -5*z + z + 35. Let w be (-14)\/(-35) - (-13)\/5. Suppose w*b = 4*b - 8. Calculate the lowest common multiple of b and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -114, -244, -416, -624, -862, -1124?\nAnswer: -1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**2*y**2 - s**2*y + 36691*s**2 - 255487*s*y**2 wrt y?\nAnswer: -6*s**2 - 510974*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -414, -643, -966, -1383?\nAnswer: -1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.48896km to meters.\nAnswer: 78488.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27964 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/315 and 31\/315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**5 - 5571*x**4 - 1514457*x**3 + 1079318211*x**2 - 4298920848*x + 4292773740 = 0?\nAnswer: -1083, 2, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 8*f - 653. What is the remainder when 248 is divided by f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -111, -295, -657, -1257, -2155, -3411?\nAnswer: -5085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -798 - -797. Do h and 1\/796 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3238 - 120*k**3 - 3238 + 114*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Let z = p + -2.94. Round z to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6191 is divided by 693.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -31857*n - 3*n**2 + 31857*n. Let s(g) = 92*g. Determine h(s(q)).\nAnswer: -25392*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/120 - i**5\/20 - i**4\/6 - 2*i**3\/3 + 3*i**2. Is 26 a factor of r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuhc when four letters picked without replacement from {u: 3, h: 3, c: 5}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyyyzzzqq. What is prob of sequence zzzq?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -a + 5*a. Let w be (a\/5)\/(14\/(-10)). Let o = 11 + -11.3. What is the nearest to 0 in o, w, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -2*y**7\/21 + 53*y**5\/60 + 311*y**4\/12 + 17*y**2 - 172. Find the second derivative of a(i) wrt i.\nAnswer: -240*i**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 9176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*k - 2*g + 1210, 3*k - 2*g - 34640 + 34517 = 0 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(17))*-5 + -1 + sqrt(68).\nAnswer: -3*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1503 divided by 34.\nAnswer: 1503\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1969748139\/4070 - -967935\/2. Let w = 2\/185 + q. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6266 is divided by 253.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -0.4, -0.3, -40\/9, -1\/12, 5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5\/108242, 0.3 in decreasing order.\nAnswer: 0.3, 2\/9, 5\/108242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10549 (base 11) to base 14.\nAnswer: 580b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + -3*sqrt(1331) + 1*(1 + sqrt(1331)) - (4 + -2 + sqrt(1331) + -2 + 0))**2.\nAnswer: -12004 + 330*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435189.\nAnswer: 2435189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14080152 divided by 4.\nAnswer: 3520038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 9*v + 8. Let w be b(7). Let o = 12 + w. Let y(l) = -9*l - o*l**2 + 9*l. Let s(h) = -h**2. Calculate y(s(p)).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3929202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (11 + -7)*-1 + -124520. What is l rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -775 - -780. Is k at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41174327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -59. Let n = -20 + a. Suppose 5*b + 6 = 7*b. Solve -b = -0*c + n*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 305, -20, -5, -2504 in increasing order.\nAnswer: -2504, -20, -5, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11044980 and 12843?\nAnswer: 11044980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 2*q - 3. Let r be n(3). Let i(s) = -s - 3. Let h be i(r). Find the second derivative of 3*p**h + 4*p**4 - p**4 - 2*p - 3*p**3 wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*((-3)\/27)\/(52\/234))\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 - 2*q**2 + (390 - 390 - 57*q)*(0*q - q + 0*q)*(-8 + 3 - 1) in the form m*q + r*q**2 + o and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576 is divided by 172.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13346.\nAnswer: 2, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 5*x - 5. Let l be (-3)\/(2 + -11)*-3. Let r be (l\/5)\/((-2)\/10). Solve 0 = -h + r - x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2893 or 2891?\nAnswer: 2893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*f + 498 = -14*f - 2*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -6676137.\nAnswer: -534090.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(26\/3)*-1. Let j be (-887)\/(-583)*3 - 4. Let d = j - 1\/53. Which is the third biggest value? (a) 3\/4 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 3140.\nAnswer: 197820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 9. Let q(i) = i**3 + 6*i**2 - 7*i + 2. Let p be q(-7). Calculate the remainder when h is divided by p\/(-4) + 15\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + 2 + 1 + (sqrt(1377) - (1 + sqrt(1377))) + -5 + ((sqrt(1377) - (5 + sqrt(1377)) - sqrt(1377))*-3 - sqrt(1377)))**2.\nAnswer: 612*sqrt(17) + 5796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 34 times 105\nAnswer: 3570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3653526*s**2 + 3840418?\nAnswer: 7307052*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/300*(-20)\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (5 - (-2 - -5))) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/8 and ((-4)\/(-170))\/(54\/(-21)*7644\/(-630))?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, x: 2, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45.6 and 106300411.45?\nAnswer: 106300365.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 20 = 8*y - 11*y, -n + 21 = -4*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g + 231 - 78 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2259, 2286, 2349, 2466, 2655, 2934?\n\"Answer: 3*n**3 + 6*n + 2250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1318 - 1302. Solve -4*r = -2*a + p, 5*r + 4*a + 31 = a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2135654782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582817 is divided by 1235?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 423221 - -1?\nAnswer: 423222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*j + 0*j = 32, -43 = -3*a - 5*j. Let h = 72 + -46. Calculate the remainder when 6 is divided by h\/a + (-2)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 13*x**7\/70 - 32*x**3\/3 + 4*x**2 - 4. Differentiate k(f) wrt f.\nAnswer: 156*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4 + 2. Let c = n - 1. Let o(x) = 3*x + 3*x**2 + 4*x + c - 4*x. Let l(y) = 8*y**2 + 8*y + 3. What is -4*l(b) + 11*o(b)?\nAnswer: b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2301 (base 13) to base 14.\nAnswer: 1b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-341)\/33 - -11)\/((-15)\/(-450)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-8)*(-58)\/(-290) - (-1445)\/(-1020).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16549?\nAnswer: 13, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430 and 5?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r. Suppose 2*v + 2*c = r, 0*v = -2*v - 3*c. Let y(o) = -o**3 + 3*o**2 + 12*o - 7. Let g be y(5). Solve -3 = -g*m - v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 567 + -564. Find the third derivative of -6*d**2 + 2*d - 123357*d**o + 123465*d**3 + 15*d**2 wrt d.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1208c (base 13) to base 2.\nAnswer: 1000000100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24\/35 + -9\/7. What is the third biggest value in 0.4, -13, l?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3178.1 + 3178.56066. Let o = 0.46 - p. Round o to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -6454 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46059 is divided by 960?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 15*r**2 - 19*r - 7. Let k(f) = f**2 - 2*f - 2. Determine 4*k(h) - u(h).\nAnswer: -11*h**2 + 11*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 928 = 928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -107.8. What is the nearest to 2 in -6, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -2143\nAnswer: -15\/2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b. Let o(q) = -18*q - 12. Let l = -96 - -84. Let c(r) be the second derivative of -r**3\/6 - r**2\/2 - r. Let s(x) = l*c(x) + o(x). Give k(s(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20071986 and 358.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171173 is divided by 282.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**3 + 231*n**2 - 54*n + 232. Let d be y(-58). Solve 4*w + 14 = -5*o, -5*o + d = -w + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 71.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15477242 and 319.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-39)\/(-26))\/(0 + 6\/16). Let y be 98\/w - (-1 + (-15)\/(-10)). What is the remainder when 76 is divided by -1 - 5*(-3 + y\/(-20))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/484 (b) 0 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 6*n**2 - 7*n + 5. Let v be i(-7). Solve 4*r + 5 = 5*k + 8*r, -r = -v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**4*m**2 + 10*i**2*m**2 - i**2 - 2*i*m**2 + 2*i*m + 3*m + 80 wrt i.\nAnswer: -48*i**2*m**2 + 20*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 3*q - q)*(3*q - 2*q + q + (1 + 7 - 4)*(-2*q + 4*q - q))*(1 - 4 + 4).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22001 (base 3) to base 8\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 238*y - 7985. Give n(34).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**3 - 31*k**5 - 4*k**3 + 191*k - 204*k wrt k?\nAnswer: -620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9729416 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2 + 2191755*w + 4383490 = 0. Calculate w.\nAnswer: -438349, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1423603608 to the nearest integer?\nAnswer: 37731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*d - 7*d - d)*(-2*d - 6 + 6) + (2 - 3 + 0)*(1 - 2*d - 1)*(-2*d + 5*d - 2*d) in the form x*d + w*d**2 + b and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -65*m + 149 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 0.5, -2\/47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzz when three letters picked without replacement from {u: 5, m: 3, z: 6, d: 3}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(11)*-2 - (sqrt(121)*-1)\/sqrt(11).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106534 = -3439*m + 24148 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/2, -5, -0.9, 0.\nAnswer: -5, -3, -0.9, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10387233?\nAnswer: 3, 167, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.3 + -20.3. Let u = 0.5 + 4.5. Let i = -417\/5 + 83. What is the closest to x in i, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/60 - u**4\/24 - u**3\/6 - 2*u**2. Let x(i) = 2*i**2 - i + 3. Let m(f) = 3*k(f) + x(f). What is m(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.545 (b) 1 (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(-8)\/6. Let l(b) = 32*b**2 - 2*b + 1. Let x be l(u). Suppose -x - 9 = -2*v. Is v 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 3:27 PM and 11:06 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 821329 to the power of 1\/2, to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86*t**2 + 13*t**3 + 86*t**2)*(0*t + 0*t + t**2) + 4*t**5 + 0*t**5 - 2*t**5 - 320 + 320 + 14*t**5.\nAnswer: 29*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 3*p - 1. Let a(r) = 3*r**2 + 7*r + 2. Suppose 2*q - x = -q, 0 = -3*x. Suppose q = -2*n + 14 + 4. Let t = -6 + n. Give t*a(y) + 7*s(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkpkllpgpp. Give prob of sequence kpp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 104?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(30\/4) + (-20)\/(-3). Let f = -2 + 14. What is the greatest common factor of f and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 - -3)) + (1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1170*b*t**3*z + 2*b*t**3 + b*t**2 + 17*b*z + 2*t**2 - 2*t wrt t.\nAnswer: 7020*b*z + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.029 (c) -2062 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-2 + 1 - -5) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*18*7\/(-168)*16\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/166484024 and -21\/212?\nAnswer: 166484024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*t**2 - 36*t**6 - 29*t**2 - 45*t**2 wrt t?\nAnswer: -4320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10765147*a**2 - 60*a + 3232 wrt a.\nAnswer: -21530294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19309+0.199\nAnswer: 19309.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y - 5. Let o(s) = -8*s + 6. Let u be -1*(2 - -4)*-1. Determine u*a(d) + 5*o(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 17*i**2. Let h(c) be the second derivative of 265*c**4\/4 + 3*c - 2. Calculate l(h(m)).\nAnswer: 10744425*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 + 3*x**4 - 4*x**4)*(5*x + x - 5*x) - 91*x + 13*x**5 - 12*x**5 - 134*x.\nAnswer: 3*x**5 - 225*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54357886 divided by 179993.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -466, -945, -1414, -1873, -2322, -2761?\nAnswer: -3190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -4 - 2*y + 1\/2*y**2. Differentiate t(x) with respect to x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f**3 + f)*(-20 + 20 + 11*f**2) - 2*f**5 + f**5 - f**5.\nAnswer: -13*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -112212121?\nAnswer: 112212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55147502 is divided by 515397?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2410266 rounded to 1 dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(13\/5)\/(g**(-2\/35)\/g*g))**(-7\/5) assuming g is positive.\nAnswer: g**(-93\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 34333*k + 1922645. What is o(-56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*z - 12. Let q be 30\/z*3\/1. Factor -2 + 2*n**3 + n**4 + 0 - 3*n**2 + 1 + q - 4*n.\nAnswer: (n - 1)**2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - -65 - ((8 - 1) + 0 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 42?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**3 + 91*t**2 + 1450*t - 24600 = 0.\nAnswer: -60, -41, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028978543?\nAnswer: 3, 17, 127, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-49))\/(4\/(-7))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 6*z = 89, 3*h = 15*z - 411 + 510 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(2 + 0 - 1)*(0*u + u + 0*u + (-3 + 5 - 4)*(-2*u + 0*u + 4*u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2052 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - 72\/(-90)*5. Put -15, b, 2\/3, 5, 4 in ascending order.\nAnswer: -15, b, 2\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x = -2*g - 39*x + 5, 2*x - 55 = -9*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3617877*m + 3617887*m + 5*m**3 - 7235764*m.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 653 or 19864?\nAnswer: 19864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 25*w - 3)*(-2*w + 4*w + 4*w).\nAnswer: 150*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -14349 (c) 166\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 257*n + 42. Let c(j) = j + 7. Let z(f) = 6*c(f) - o(f). Let t(y) = -y. Give z(t(h)).\nAnswer: 251*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 820229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.9 + -11.5. Let v be (-24)\/(-384) + (-1)\/16. Which is the third biggest value? (a) -2\/3 (b) s (c) -3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3239*i**4 + 2183*i**2 - 2133245*i.\nAnswer: -38868*i**2 + 4366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 32*p + 2578 = 35*p, -1572 = -3*j - 6*p. Is 26 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(3\/(-96)))\/1. Let p = -81 - m. Let j = p - -81. Calculate the highest common factor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l + 10903 = 10865 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:37 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1074 - -1544. Calculate the lowest common multiple of 12 and y.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*p**3 + 4\/3 - 4\/3*p**2 + 2*p + 2\/3*p**5 + 0*p**4.\nAnswer: 2*(p - 2)*(p - 1)*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 459538, 3676066, 12406632, 29408254, 57437950, 99252738?\n\"Answer: 459503*b**3 + b**2 + 4*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2476845 and 3.\nAnswer: 2476845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f - 18. Let i(l) = 4*l - 18. Determine 6*i(y) - 5*t(y).\nAnswer: -y - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91\/4 + 23. Let f = 19.3 - 19. Which is the second biggest value? (a) f (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2338, 7672, 18996, 39304, 71590, 118848, 184072?\nAnswer: 270256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*y**2 - 34*y**2 - 8*y**4 + 4*y**4 + 2*y**4 - 2*y**4 + (-4*y - y + 6*y)*(-y**3 - 2*y**3 + 2*y**3).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**3 + 17*t**3 - 58*t**3 + 16*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3437*o - 340329. Give q(-99).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {o: 1, e: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 2 (c) 1\/3 (d) -1\/5 (e) 10\/73 (f) 3 (g) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 509577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 1:48 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 + -20. What is the greatest common factor of t and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(272))**2 - (sqrt(153) + -2) - ((1 + sqrt(17))*-3 + -4 + sqrt(17)*-1 + sqrt(17)))*4.\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10500 and 9450.\nAnswer: 94500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 194*u + 193*u = -44, -3*n - 4*u = -40 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509809767 is divided by 255.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3 - 2 - v + 0*v. Let o(s) be the second derivative of s**4\/3 - s**3\/3 + s**2 + 68*s. Give -4*n(m) + o(m).\nAnswer: 4*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 236 = 269. What is the biggest value in -8\/7, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*m**2 - 15 + 33\/2*m.\nAnswer: -3*(m - 10)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*b = -216*b + 353575. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 252955, 505906, 758857, 1011808, 1264759, 1517710?\n\"Answer: 252951*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15802 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -3*r**4\/16 + r**3\/2 + 3*r**2\/2 - 6*r - 4. Factor s(j).\nAnswer: -3*(j - 2)**2*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-35))\/((-6)\/(-168)*-4). Let c(q) be the first derivative of -1\/5*q**2 + 2\/15*q**3 + 1\/10*q**4 - u*q + 1. Find z, given that c(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 - 4)*(2 - 5 - 4)*(0 + 3 - 4)*(4*y - 2*y**2 - 4*y).\nAnswer: 154*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63987855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 2 - (-44 + 43 - (0 + 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3760169455\/8526996 - 30\/236861. Let j = 1731\/4 - v. Find the common denominator of j and (-52)\/494 + (-533)\/171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 12:45 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(16)\/(sqrt(72)\/(sqrt(9)*-2) + sqrt(8) + sqrt(8)) - (4 + sqrt(2) + 1 + 5)).\nAnswer: -13 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/5? (a) 49\/4 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -256409, -256425, -256441, -256457, -256473?\n\"Answer: -16*a - 256393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.48721556 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1452 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -898*l**3*n + 2*l**2*n**2 - 2*l**2 + l*n**2 - 572*n**2 wrt l?\nAnswer: -5388*l*n + 4*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68529957276 - 68530005385.022933. Let h = z + 48109. Let c = h - -0.023. Round c to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y**2 + 4. Suppose -3*m = -6, 32*a = 33*a + m + 2. Let u(p) = p**3 - 7*p**2 + 7. Determine a*u(f) + 7*b(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2565888 take away 2305.938?\nAnswer: -2568193.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3056487 to the nearest integer?\nAnswer: 1748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1914616)\/(-54)*(-21)\/84. Let d = 17725\/2 + i. Find the common denominator of d and 121\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9405 and 176.\nAnswer: 150480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -20, -32, -8, -2 in increasing order.\nAnswer: -32, -20, -8, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/2 (b) -0.4 (c) 1\/4 (d) 0 (e) -5 (f) 147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) - -6*(sqrt(168) + sqrt(168)*2 + sqrt(168)))*6)\/(5*(sqrt(6) + (sqrt(420)\/sqrt(7))\/sqrt(10))).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(2 - (0 + 3)). Let o be 7 - (-1)\/(j - -2). Suppose 0 = -2*u - 4, 5*u + o + 4 = d. Solve 2*a + 0 = -d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24130 (base 5) to base 11\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -4723060220725.\nAnswer: -4723060220724.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 10:36 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -437.167 - -459.2. Let j = b + -22. Let x = -6.233 + j. What is x rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*w**3 - 493*w**3 + 469*w**3.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -8558, -0.02, -1\/42?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 154\/285 and 30 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7072043*a**2 + 3533860*a wrt a?\nAnswer: 14144086","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*q + 3\/2*q**3 + 0 + 1\/2*q**4 + 3\/2*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429360 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 36 + 40 = 4*d, 8 = 4*s + 6*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 + 1. Let u(h) = 2*h**2 + 24*h + 23. Let r be u(-11). Give q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-5)\/((-40)\/(-31))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*w + 11, 0*u = u + w - 14. Let y be ((-34)\/u)\/((-24)\/(-2)). Which is the biggest value? (a) -0.4 (b) -2\/15 (c) 2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/((-8)\/48*-3). Let u be (102\/(-119))\/(r\/(-14)). Let i = -26 + 17. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 1)*(2*j**4 + j**4 - 7*j**4) + 2*j**4 - 4*j**4 + j**4 + 0*j**4 - j**4 + 3*j**4 - 2*j**4 + 29*j - 29*j - 2*j**2 + 2*j**2 + j**4.\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 0, 2 in increasing order.\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 156.16 (b) -2 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i + 1399 = -590 + 256 - 395 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*d + 3, 0 = v - 2*d + 4. Suppose -4*n = n - 30. Solve v = n*h - 11*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 8)*(6*y**2 - 4*y**2 - 2 - 4*y**2 - 2*y**2 - 3*y + 3*y + (-2 + 3 + 0)*(-3*y**2 + 4*y**2 - 2*y**2)).\nAnswer: 25*y**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-25))\/((-7)\/70)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10687, -21357, -32027?\nAnswer: -42697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3270 - -33368?\nAnswer: 36648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 0. Suppose t = -4*i - 2 - 2. Is -1\/18 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-14)*g\/g**(-7))\/((g**(-5)*g)\/(g\/(g**(-1)\/g)*g)))**(-1\/9) assuming g is positive.\nAnswer: g**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/15 (b) 1.2 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 11400 = -4*x + 14341, 25 = -5*a. Let i = 3293 + x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeceeccee. What is prob of picking 3 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2444 and 0.04?\nAnswer: 0.2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4533800194 to the power of 1\/2, to the nearest integer?\nAnswer: 67333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23\/187 - 1\/17. Let t(w) = -w**2 - 2*w + 6. Let f be t(-4). Let o(r) = r**2 - 1. Let k be o(f). Which is the closest to 1? (a) 1\/6 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 15*x**2 + 16*x + 31. Let z be d(-14). Solve 4*y = z*j - j + 26, 0 = j + 2*y - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*f = 52, -4*f = 5*i - 0*f - 216. Is i less than 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 2*q**2 - q + 1. Let y be t(-2). Let g be (-69)\/(-21) + (-8)\/28. Find the second derivative of z**y - 2*z + g - 3 wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31605564 - -3?\nAnswer: -31605561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3509 + -2343. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -15*x. Let n(h) = 45*h. Let p(t) = 11*f(t) + 4*n(t). Let m(b) = -286*b + 80*b + 27*b + 85*b + 89*b. What is m(p(i))?\nAnswer: -75*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c*c**2)\/c*c)))**(1\/4))**(-16) assuming c is positive.\nAnswer: c**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*t - 57, -3*t - h + 2*h = 61. Let n be t + 20 - (4\/(-3) + 1). Put -0.3, n, -3 in descending order.\nAnswer: n, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*z + 24 = 4*w, -3 = -3*z. Suppose -153 + w = -4*i. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59842 and 0.21.\nAnswer: -12566.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x**3 + 30*x**2 - 41*x + 114. Determine v(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 3*y - 2*o = 0, -4*o - 24 = -2*y. Find the second derivative of 7*n - 6*n**2 + 2*n**4 + 7*n**y - n**2 wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-15) - 10\/(-42).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lddnwndwnwdnndnn. What is prob of picking 1 l and 1 n?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067943053 to the power of 1\/2, to the nearest integer?\nAnswer: 32679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 2276 = -13*u. Let f = -13 + u. Is 32 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**3 + 2. Let s(f) = 10*f**3 - 11. Let g = 4168 + -4179. Determine g*i(a) - 2*s(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11*2*(-26)\/(-143). Solve 2 = -m + a, 3*m = 4*a - t + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(2 - (-8475)\/(-4236)). Suppose x = 2*f + z + 645, -4*f = 4*x + 4084. What is the common denominator of (-4)\/10 + f\/660 and -25\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 159 = 4*y, -5*y + 4*w - 44 = -6*y. Is 95 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 26 = -61. What is the greatest common factor of l and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6091435\/16809 - -307\/1293. Suppose 0 = 8*j + 532 + 2364. Let n = i - j. Is n at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - z - 1. Let h(w) = -2*w + 5. Let y be h(4). Let g be (-3 - 18\/y)\/3. Let i = 2 + g. What is u(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00363191 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50158 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 300388243.09999999 + -300388240. Let n = -3.1 + d. Round n to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -7, -1793, 1920?\nAnswer: 1920","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.3 (b) 50 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -8. Suppose -5*r = -j*c - 46 - 19, -2*r = 2*c - 10. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*r + 133*r - 36*r - 84 - 46*r as d*r + i and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -322620*c - 2580961. What is l(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 * -810.\nAnswer: 60750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**4\/12 + 11*b**3\/6 - 18*b**2. Let j(d) = -d. Determine z(j(s)).\nAnswer: 2*s + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -41716811.8 rounded to the nearest 1000?\nAnswer: -41717000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1804 + 452 + 648*s + 447 + 456 + 447 - 275*s**2 wrt s?\nAnswer: -550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 7*x + 14*x + 5 - 9*x.\nAnswer: -3*x + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*t + 5014 - 923 = -3384 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 16, -8, -5, 7, -3, 3.\nAnswer: -8, -6, -5, -3, 3, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28432158583260.999981 + -28432099751691. Let u = -58831544 + s. Let i = u - 26. What is i rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2809*j**3 - 3 - 9*j - j**4 - 1410*j**3 - 1400*j**3 - j**2 as r*j + c*j**2 + s*j**4 + o + i*j**3 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 62. Let b = -31 - m. Which is smaller: b or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5390 divide 411533862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 257\/6. Which is the biggest value? (a) 0.5 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 7*c - 7 - 7*c**2 + 0*c**2 + 2*c**2. Let j(i) = -2*i**3 + 6*i**2 + 8*i + 8. What is -5*j(v) - 6*m(v)?\nAnswer: -2*v**3 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6701*b*o**3 - 11*b*o**2 + 85*b*o + 197*o**3 - 57 wrt o?\nAnswer: 40206*b + 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w. Let r(o) = -2*o + 3. Let j be r(-2). Let x(k) = -8*k. Determine j*t(h) - 6*x(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:56 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10183881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8 - (11 - 14)) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10 (b) -0.2 (c) 3 (d) 2\/83 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 0 - 1) + -353 + 344 + 4 + -12?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18897 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.237 + 0.123. Let q = v + -3.86. Let k be (8\/(-22))\/(1 - 3). What is the biggest value in 5, k, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.38 (b) -0.2 (c) -905\/203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -33*x**3 + 10*x**2 + 3*x - 14. Let v be i(2). Which is bigger: -227 or v?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.777 - -13.13. Let q = d + -27.253. Round q to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/5, 47, 3, -5 in ascending order.\nAnswer: -5, -1, -2\/5, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451448, 451465, 451482?\nAnswer: 451499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815948994 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 0*o + 2*o)*(419 + 847 + 954) to the form l + u*o and give u.\nAnswer: -2220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000735 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9*v - 121. Let a(h) = -2*h + 23. What is 22*a(w) + 4*n(w)?\nAnswer: -8*w + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18938 - 18937.9483. Which is the second biggest value? (a) 0.08 (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(170) - -6*(sqrt(170)*3 - sqrt(170)))\/(-6*-2*(sqrt(10) - sqrt(40))*5).\nAnswer: -3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-5) - 27580\/(-50)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/15 + 4*m**2\/15 - 2*m\/15 - 4\/15 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5abb30 - b?\nAnswer: -5abb3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 5:40 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v)**(17\/5)*v**(-6\/5)*v**(4\/5)\/v assuming v is positive.\nAnswer: v**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 13*p - 66. Let s(q) = -4*q**2 + 20*q - 17. Let i be s(5). Let f be o(i). Solve -g + 5 = -f*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/91)\/(3\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 9.\nAnswer: -55\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 6 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-330)\/(-12) + (-3)\/(-6). Let k be (-42)\/t - 37\/2. Round k to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 132?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(3\/5)*d))**(-34) assuming d is positive.\nAnswer: d**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 9*p - 1. Let l(i) = 41*i + 205. Let r be l(-14). Let o = r - -378. Give n(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 837, 824, 777, 696, 581, 432?\n\"Answer: -17*a**2 + 38*a + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:32 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 52808 (b) 28 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10106685 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*r**5 + 13870*r wrt r?\nAnswer: 3260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 0.1, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-705)\/(-135) - (20\/9 - 2). Suppose m*t + 33 - 1203 = 0. Does 4 divide 5096\/t - (22\/(-18) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-240))\/(3\/12)*45\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2645.9 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 3081333.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5153 is divided by 440.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 728 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-39)*4\/8. Let h = 3 + -3.05. Let i = 4.05 + h. What is the second biggest value in i, 5, o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/10 - 97\/(-485). Let g(j) be the first derivative of 1\/9*j**3 - 1\/36*j**6 + 1\/12*j**4 + 9 - 1\/12*j**y - 1\/6*j - 1\/30*j**5. Factor g(a).\nAnswer: -(a - 1)**2*(a + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21021 - 21016. Solve 0 = -z*k + 2*h + 37 - 22, k + 5*h = 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.757483 litres?\nAnswer: 2757.483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(196)*2 - sqrt(196)).\nAnswer: sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120399*n + 72 = -120375*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12482259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 922756.2cm in meters?\nAnswer: 9227.562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*k)*(-370 - 41 + 136).\nAnswer: 550*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 8.6, 2\/13, -0.5?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*u + x - 386, -u = -x - 193. Let k be (-14)\/77 - 5865\/(-11). Suppose 4*b + u = k. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-44))**(-33)*(n**(-2\/7))**7\/((n**(-6)\/n)\/((((((n**(-4\/5)*n)\/n)\/n*n)\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(7266\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14700, 29384, 44070, 58758?\nAnswer: 73448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63083546, -126167087, -189250628?\n\"Answer: -63083541*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 8 - 0. Suppose h*s + 0*s = 14. Let i(a) = -5*a**2 + 6*a**2 - s*a + 2*a. Give i(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4275453 = -28*o + 11127053. Round o to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 2 = -z. Suppose -2*h = 3*g - 139, -g - 3*h = -54 + 3. Calculate the highest common factor of g and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + sqrt(45)\/(-1*sqrt(5)) - sqrt(144)*-1)\/(-6*(2*sqrt(192) + (5*sqrt(3)*2 - sqrt(3)))))**2.\nAnswer: 4\/1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*n + 2*n - g, 0 = n + g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1\/4, -7, 1\/2, -0.18, -4 in decreasing order.\nAnswer: 1\/2, 2\/5, 1\/4, -0.18, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*t - 3*t + 7 - 7 to the form p*t + l and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 2*u**2 + 3*u**2)*(5 - 221*u + 107*u + 109*u) + 28*u**2 - 28*u**2 + 13*u**3.\nAnswer: -7*u**3 + 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 23*y - 6 = -2*j, 3*y + 5*j = 21. Let k = 184 - 31. What is the remainder when k is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*q**5 + 7232*q**4 - 2155014*q**3 - 14594940*q**2 - 28600776*q - 13220496 = 0. Calculate q.\nAnswer: -3, -2\/3, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (7 - 11) - -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2 - 2 + 0 + u. Let r(i) = 0*i**2 + i**2 + i**2. Give r(c(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.2? (a) -8 (b) 3\/4 (c) 1853 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3633840 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 102848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 44776 - 259108 = -2*c, -321458 = -3*c + 5*w. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -35*t**3 - 21*t - 9 + 8*t**3 + 14*t**3 + 10*t**3 - 15*t**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -385. Suppose -9*y + 5*t + s = -7*y, 2*y - 344 = 2*t. What is the smallest common multiple of 9 and y?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 31179342.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209527835?\nAnswer: 5, 11, 41, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 6. Suppose -4*b - 4 = 2*j, 2*j + 0 = -5*b - 7. Solve z = j*l + 24 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 5, v: 7, w: 2, n: 4}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*b**2 - 47*b - 73*b + 264*b + 13*b + 33*b to the form a*b + c*b**2 + g and give a.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j + 1. Let n = 19 - 18. Let t(d) = -4*d**2 - 7*d - 5. Let b(x) = -19*x**3 + 112*x**2 + 13*x. Let s be b(6). Give n*t(i) + s*r(i).\nAnswer: 2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*t**2 + 7*t - 1024*t**2 - 392*t**2 + 7*t - 13*t as i*t**2 + a + y*t and give i.\nAnswer: -1143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-50))\/((-176)\/40). Let h = 24\/55 + t. Factor -1\/5*x + h*x**2 + 0 - 1\/5*x**3.\nAnswer: -x*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -168286 and 0.151.\nAnswer: -25411.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 17*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*0.07667.\nAnswer: -2.3001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20102 + 0?\nAnswer: -20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61850*u**2 + 42*u - 7523736 wrt u?\nAnswer: 123700*u + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4407 + 1a60?\nAnswer: -2567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*p - 171*p + 15*p.\nAnswer: -70*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11741.9255 - 11742. What is the nearest to 0 in -4, 0, 0.3, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.9. Let i = -0.6 + -0.2. Let t = -0.2 + i. Is l < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 12, 3, 1, 74 in decreasing order.\nAnswer: 74, 12, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 748? (a) -2\/13 (b) -146\/5 (c) -1 (d) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 7*p**2 + 2*p - 12. Let y be s(7). Suppose -8*f + y*f = -72. Solve -4*m + f = 0, -u = -6*u + 5*m - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxlxxlxixllaxxllxex. Give prob of sequence lxla.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1846, 1833, 1782, 1675, 1494, 1221, 838?\n\"Answer: -3*s**3 - s**2 + 11*s + 1839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 3*j**2 - 87*j - 6. Let x be h(8). Which is the fourth biggest value? (a) -10\/9 (b) 0 (c) x (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 - 12 - (59 - 64)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15100560 a multiple of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4*(1 + 0) + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)\/sqrt(4))\/sqrt(12) - (1*sqrt(500) + sqrt(5)))**2 - (-1*sqrt(1960))\/sqrt(8)) + -3.\nAnswer: 7*sqrt(5) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 11*a = 38. What is the remainder when 72 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5 + 5552*v**4 - 3819618*v**3 - 46475996*v**2 - 112607320*v - 69956496 = 0. What is v?\nAnswer: -9, -2, -1, 1394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -759, -770, -791, -828, -887?\n\"Answer: -h**3 + h**2 - 7*h - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -704, 2, -2 in ascending order.\nAnswer: -704, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -7*y - 1. Let p(w) = -12*w - 5. Let t be p(0). Let m(v) = 1. Let a(d) = 6*d + 3. Let h(j) = -a(j) + 2*m(j). Determine t*b(n) + 6*h(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (14 - 7)) + (3 - -10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.025421*0.4.\nAnswer: -0.0101684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 + -125. Let w(l) be the first derivative of l**4\/4 + 4*l**3\/3 + 3*l**2\/2 + 2*l - 46. Calculate w(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74561, 74494, 74427?\nAnswer: 74360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctc when three letters picked without replacement from sfffctcscctf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 146574*p**2 - 5 - 144972*p**2.\nAnswer: 1602*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005713 rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Find the second derivative of -3*x**2 + u*x - x + x**2 - x wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 - z**5 + 2*z**5 + (5 + 1 - 4)*(3*z**2 - 2*z**5 - 3*z**2) + (1 - 1 - 3*z)*(-3*z**4 + 2*z**4 - 2*z**4).\nAnswer: 3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.451 + -1.429. Which is smaller: 2\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 + -0.43. What is the closest to 0 in 0, o, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 3\/40*z**6 + 0*z + 3*z**2 + 0 - 1\/12*z**4 + 0*z**3 + 13\/210*z**7 + 5\/336*z**8 - 1\/60*z**5. Let w(n) = 0. Calculate n.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 18. Which is the closest to 1\/2? (a) f (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3110 (base 4) to base 7.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, -2\/13, 0.07.\nAnswer: -2\/13, 0, 0.07, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w**1)\/(w*((w\/(w\/(w*w\/w**(-11)*w*w))*w)\/w)\/w*w*w*w**6) assuming w is positive.\nAnswer: w**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 2. Let d(y) = -9*y + 17. Let x(c) = -6*d(c) + 51*t(c). Let j(q) = q. Let l(s) = 2*s. Let p(r) = 5*j(r) - 3*l(r). What is x(p(a))?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1 = -7, 30*t - 28*t = -7*j + 30 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14405213*u**2 + 14405182*u**2 - 28809923*u**2 + u.\nAnswer: 472*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -15*n. Let k(j) = 553*j**2. Calculate k(w(b)).\nAnswer: 124425*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 != 245.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(5 - 5 - z**5) + 3*z**5 - 10*z**5 + 3*z**5.\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 divided by 46250?\nAnswer: 328\/23125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/(i**(-7)*i)*i))\/i)\/i*i**(-1\/16))\/(i**(-1\/15)\/i**(-9)) assuming i is positive.\nAnswer: i**(-4559\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 232*p**2 + 25 - 326*p**2 - 49 - 502*p**2 + 23 to v*p + o + x*p**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101793 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let s(i) = -i - 27. Let w be s(-25). Which is the closest to f? (a) 0.5 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-7 - -6)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -7346 + 7385. What is the closest to -54 in 1\/5, -2\/19, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -78*m + 2\/3*m**3 + 0 + 9\/2*m**2. Determine y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 14*a + 98. Let g be c(-7). Which is bigger: 10.59 or g?\nAnswer: 10.59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 + c - 3*c - c**3 + 628*c**2 + 2 - 654*c**2 to the form m*c**3 + k*c + h*c**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 3\/4, 0.015, -0.2, -1\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/16 and 70\/1419.\nAnswer: 22704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 8*o + 7*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/8820 and 137\/4116.\nAnswer: 61740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 30 = -2*u, u = 5*b - b + 24. Let s(k) = -k**3 - 4*k**2 + 15*k + 14. Let f be s(b). Let p(v) = -4 - v**3 - 2*v**2 + 3*v + 0 - 2*v**2. Give p(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.1. Let i be 22\/(-8)*(-186)\/341. What is the third biggest value in 1\/2, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 510 = 5*i. Suppose -t - 28 - 2 = 0. Let l = i + t. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86878102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 416*v**3 + 410*v**2 - 1263. Find the second derivative of q(i) wrt i.\nAnswer: 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0.5*-164.6\nAnswer: -82.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + (sqrt(396) - (sqrt(396) + -1)**2) + ((sqrt(396) - (sqrt(396) - (1 + sqrt(396))))*-2)**2 - (-5 + 3 + -1 + sqrt(396) + -3)**2) + -3.\nAnswer: 138*sqrt(11) + 757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 577 - 577.5. Let t = -5.56 + 9.55. Let y = -0.01 - t. Which is the nearest to 0.2? (a) y (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 493 - 985 + 491. Solve 3 = -92*g + 89*g, -2*g = -k + m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20092 - 20092 - 206658*o.\nAnswer: -206658*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -2\/1989, -3, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -15*l + 44. Let w be b(-25). Suppose 421 = 6*d - w. What is the greatest common divisor of d and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**4 + 217*o + 2*o**3 - 218*o + 5*o**3 - 6*o**3 + 10 - 2*o**4 + 2*o**2 to the form z*o**4 + y*o**2 + b*o**3 + c + x*o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -3 - ((1 - 2) + -1)) + (1061 - 1014).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*1.4363215\nAnswer: -0.02872643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*p*t**4 - 3*p*t + p - 14218*t**5 - 200*t + 7 wrt t?\nAnswer: 144*p*t**2 - 284360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(128)*5)**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12\/13, 7, 110304?\nAnswer: 110304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.6, 2, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*n + 5 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 19*u - 108. What is x(-9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -104? (a) -5 (b) 1 (c) 0 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 + 92*s**4 + 556*s**3 + 116*s**2 - 2288*s - 1936 = 0. What is s?\nAnswer: -11, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 0 + 4. Is -1*(-235 + o + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Suppose -26 = -j*y - 6. Calculate the highest common factor of 2 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 - 239\/4. Suppose 9*u + 173 = 200. Factor 0 + 0*f**2 - 4*f**4 + 3*f**u - h*f.\nAnswer: -f*(2*f - 1)**2*(4*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-15)*j**(-26) assuming j is positive.\nAnswer: j**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 155 - 155. Suppose 31*q - 9760320 - 3693680 = n. Round q to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**5 + 12204*g**4 - 8342058*g**3 - 8868610404*g**2 - 8860256139*g = 0.\nAnswer: -553, -1, 0, 2311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156368690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1042074*c*d - 160*c + 276 with respect to d.\nAnswer: 1042074*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8778)\/(-912))\/((-33)\/(-18))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -75*m**2 - 3*m - 1. Let t be i(-1). Let q = -42 - t. Differentiate 60*x + 1 - 112*x + q*x + 1 wrt x.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 723, 1603, 2835, 4419?\nAnswer: 6355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000065976 to 7 dps.\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88 + 15*p**3 + p - 49*p**3 - 81 wrt p.\nAnswer: -204*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of (-154442)\/(-11) + ((-696)\/5280 - 2\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110120100 (base 4) to base 16\nAnswer: -154610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.845, -9, -0.1 in increasing order.\nAnswer: -9, -0.845, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -l + 4*f, -5*l = -2*f - 12. What is the first derivative of -72665*t**l + 244 + 116*t**4 + 72665*t**2 wrt t?\nAnswer: 464*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1130, 1862, 2584, 3290, 3974, 4630, 5252?\n\"Answer: -s**3 + s**2 + 736*s + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220 - 221. Let d be -6*(h\/(-4) - (-49)\/(-28)). Solve -14 = 4*i - 2*f, 5*i - 2*f = -6 - d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 2, 15 in descending order.\nAnswer: 15, 7, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172677832 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-9)\/756)\/(1\/(-58)) and -19\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*y = -4*k + 2, 7 = -3*k + 4*y. Let g be 17 + -19 - 3\/(-4). Let v be 6\/(-9)*(0 + -3). Which is the nearest to 0? (a) g (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 18*l**2 + 47*l - 41. Let q be o(20). What is the highest common factor of 231 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) -1 (b) -3 (c) -4\/3 (d) -53 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 5*z + 4*z)*((-6 + 5 + 9)*(-3*z**4 - z**4 - z**4) + 4*z**2 - 4*z**2 + z**4).\nAnswer: -234*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 233 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3990 + 4014. What is the highest common divisor of 48 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-2)\/(-6) + 60\/90. Calculate the remainder when 31 is divided by (-13 + 0 + g)*(-31)\/62.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-2) - 0) + 6. Suppose 9*y = i*y - 250. Round y to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -98*z**3\/3 - 2*z**2 + 377*z + 380. Differentiate m(y) with respect to y.\nAnswer: -196*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17618743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/8 of a litre in millilitres?\nAnswer: 2375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 228, 319, 404, 483, 556, 623?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -79. Suppose 8*o + c - 24 = 3*o, -v*o = -4*c. Suppose o*j - w - 700 = 0, 3*j - w - 518 = -2*w. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvbvvvvvvvvvvvvbvv.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001110100010111 (base 2) in base 16?\nAnswer: 11d17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:01 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -465 and -0.5?\nAnswer: 232.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/5 + 9*x**3\/5 - 6*x**2\/5.\nAnswer: -3*x**2*(x - 2)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328, 324, 320, 316, 312, 308?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00525 rounded to 4 dps?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 w, and 2 k when four letters picked without replacement from {n: 7, w: 2, r: 6, y: 1, k: 3}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. Suppose 0 = n + 2*n + 3. Let t(c) = 2*c - 6. Let z(v) = -1. Let q(w) = n*t(w) + 2*z(w). Let a(d) = -3*d + 5. Determine i*a(o) - 5*q(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 3, p: 1, r: 3, f: 4, c: 3}. What is prob of sequence rcrp?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or 132?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3 + 6*j**2 + 2841*j. Let w(n) = -53*n. What is m(w(v))?\nAnswer: -318*v + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 7. Let t(d) = -d**2 - 9*d - 7. Let s = 6 - 15. Let u be t(s). What is m(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 5. Let m be j(-2). Let i(a) = -a**2 + 11*a - 9. Let d be i(m). Solve 34 = 5*q + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0 + 0*t - 4*t**2 + 1\/3*t**4 + 1\/3*t**3. Calculate the smallest common multiple of 10 and f(2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4)\/(-6)*456\/(-133)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 205 = -241 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 4}. Give prob of sequence brb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k - 6409*k**2 + 8*k**3 + 6413*k**2 - 4*k**3 + 23. Is 48 a factor of r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639879 is divided by 213292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-14) - (-37791)\/(-3570) and -169\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106970 rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/7 + 2670154*d\/7 - 1782430595929\/7 = 0?\nAnswer: 1335077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11504090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -6 - -39 - 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.02347 to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5961.845ns to milliseconds.\nAnswer: 0.005961845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + 1.46. Let z = m + -0.06. What is the closest to -0.1 in -0.1, 13, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z**2 - 1144*z - 45. Determine c(-104).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.2 (b) -2\/15 (c) 64 (d) -0.3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*k - 92, -6 = -k - 2. Suppose -3*m = -m - t. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1056667 is divided by 41.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**2 + 3*g + 11. Let z be a(-4). What is p in -z*p**2 - 20 - 23*p**3 + 7*p**3 - 140*p - 39*p**3 = 0?\nAnswer: -2, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23010120123223 + -20?\nAnswer: 23010120123203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 7:25 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 88 = 14. Let t = j - 53. Let i = 31 - t. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203 + 227.1. Which is greater: w or -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47455.\nAnswer: 5, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*i**3 - 653 wrt i.\nAnswer: -171*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11925963.\nAnswer: 3, 7, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2082242.89 to the nearest one hundred.\nAnswer: 2082200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = -0*f. Let c be ((-126)\/(-27))\/(4\/6). What is the highest common divisor of f and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 6:45 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 29*g**2 - 38*g + 8. What is the hundreds digit of z(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79248489*l**3 - 4*l**2 - 1238558*l - 1.\nAnswer: 475490934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 22335*c - 22335*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*i - 240*i - 59 + 150*i + 59.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732578 is divided by 3176?\nAnswer: 2098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25661142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 + -0.09000333. Round p to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.1 (c) -4 (d) -5 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2761\/47 or -60?\nAnswer: -2761\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 17120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + sqrt(500) + 1 + 1 + sqrt(5)*2)**2.\nAnswer: 56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 318.98 - 2.98. Let t = 148 - y. Let j = 168.73 + t. Round j to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and -55530.2401.\nAnswer: -55542.2401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**10*((j*j*j**(-19\/3))\/j)\/j*(j**27\/j)\/j**30 assuming j is positive.\nAnswer: j**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8158, 8140, 8112, 8068, 8002, 7908, 7780?\n\"Answer: -f**3 + f**2 - 14*f + 8172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**3 + 952 - 952.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -202 + 252. Suppose -16 = -3*x - 0*m - 4*m, 5*m + n = 5*x. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1. Let q(m) = -m - 5. Let v(t) = 6*l(t) + q(t). Let z(k) = -k**3 - 6*k + 8. Determine 6*v(n) - z(n).\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 10, o: 9}. Give prob of sequence ofo.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2\/5 + 207078028*t\/5 + 207078026\/5 = 0.\nAnswer: -103539013, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -76*q**3 + 2*q**2 - q. Let u be v(1). Let d be ((-18)\/15)\/(3\/u). Suppose -m = 3*r - 26 - d, -2*r = -4*m + 154. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atjhttabtjhb. Give prob of picking 1 h and 1 a.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + l. Let g(r) be the third derivative of r**5\/30 + r**4\/8 + 8*r**3\/3 + 19*r**2. Let q(n) = 3*c(n) - g(n). Let q(b) = 0. Calculate b.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 + 2 = 0, -2*g = -4*l + 66. Suppose l = 3*u - 16. Suppose 0 = -2*k + 3*k - u. Solve 2*a + 3*f + k = 4*a, 0 = -4*a - 4*f - 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 3 + 3 + (-3 + 1 + 0)*(2*j - 4*j + j) - 2*j + 2*j + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -2 - 20\/3*w**4 - 2\/15*w**6 + 17\/20*w**5 + 0*w**2 + 0*w**3 + 15*w. Find the third derivative of m(o) wrt o.\nAnswer: -96*o + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -m - 9. Put 2, -3, m in ascending order.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 4, s: 1, p: 7, g: 2, c: 2}. What is prob of picking 1 c, 1 p, 1 s, and 1 b?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/(-3)*((-91)\/(-156))\/((-28)\/(-36)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:01 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 114*f + 11 + 118*f - 349*f + 118*f. Let k(z) = -z + 169 + 0*z - 169. Calculate g(k(t)).\nAnswer: -t + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -17*p - 230 + 41*p - 4*p + 12*p + 25*p. Calculate y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-140))\/(28\/343) + (-18)\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008547737 rounded to 5 decimal places?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 9798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/4 (b) 1\/7 (c) 16 (d) 4 (e) -1\/9 (f) 201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7252499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-4)\/(-2)) + 84. Let o = 163 + -171. Is (4 - v\/o)*34 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458 - 808 = -754*s + 1158 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -658*208\/(-19552) - (-13 - 0\/(-1))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -133.9. What is the closest to r in 3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 2 (c) 0.5 (d) -65 (e) 0 (f) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 3, 119690 in ascending order.\nAnswer: -1, 1, 3, 119690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o - 4. Let w be s(-2). Let z = -2 + w. Suppose -v = -u - 4 + z, 0 = -2*u + v - 5. Is u != -13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-4)\/p)*p*p)\/((p**(-4)\/p*p)\/p)*(p**0*p)**13)\/((p**(1\/2)\/(p*p**1))\/((p\/(p\/(p*p**(2\/7))*p))\/p)**44) assuming p is positive.\nAnswer: p**(-55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009795954 rounded to 6 dps?\nAnswer: -0.009796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0)\/l)**(-15\/11)*l\/(l\/((l**(1\/9)\/l)\/l))*l*l\/((l*l*l*l**(1\/2)*l)\/l) assuming l is positive.\nAnswer: l**(-61\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 0*u**2 + 2*u**2 + (-197 + 4*u + 197)*(2*u + u - 5*u) + (4 - 1 - 4)*(-696*u + 707*u - 5*u**2 + 3*u**2).\nAnswer: -7*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -626, -1252, -1878?\n\"Answer: -626*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 4*s - 2*s)*(2*s + 0*s - s)*(2 - s - 2).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1871*u + 3728 = -1405*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*p - 5*p - 178*p + 20*p)*(-1 - 2*p**3 + 1) to q*p + h*p**4 + o + n*p**2 + a*p**3 and give h.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -22b65?\nAnswer: -22b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + sqrt(11) + 2)**2 + (sqrt(11) + 4*sqrt(88)\/sqrt(8) + sqrt(11) + 0)**2.\nAnswer: -4*sqrt(11) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 78*b**2 + 45920*b + 405504 = 0. What is b?\nAnswer: -128, -9, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7802828?\nAnswer: 2, 11, 177337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 9.87 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.41 - 4.817. Let w = 0.023 - b. Let o = 5.43 - w. What is the nearest to o in -0.3, 3, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((-105)\/28)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - q + 2 = 0, 11 = -4*q + 19. Suppose 6*i - 1724 - 748 = r. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3651153300 rounded to the nearest 1000000?\nAnswer: 3651000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 + 517*c**2 - 184*c + 2038. Give u(172).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2153 + 2315 = 644*d + 23990 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 4*p + 7. Determine j(-4).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11463*s - 11571*s + 2268 = 0 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + -0.1. Let k = 569825 + -569828. What is the closest to r in -2, k, -5\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m - 15*m)*(-m - 3 + 3 + 2 + (-1 + 3 + 0)*(-4*m + 3*m + 3*m) + 0*m - 4*m + 2*m - 223*m + 23*m - 34*m).\nAnswer: 4427*m**2 - 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 + 343 - 116)*(4 - 3 - 3)*(5 - 5 - 4*y).\nAnswer: 2656*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*a - 8 = 0, -2*r + 65012*a + 8 = 65013*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 7*b + 11*b)*(-3 + b**2 - 2*b + 3).\nAnswer: 13*b**3 - 26*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 8*x + 2. Let u = -10 - -2. List the prime factors of n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 3*a)*(-4*a - 2*a + 1 + 0*a).\nAnswer: -12*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -738, -3014, -6828, -12180, -19070, -27498?\n\"Answer: -769*b**2 + 31*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 21166331650 to the nearest one hundred thousand.\nAnswer: 21166300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*d**3 + 2*d**2 + 1.\nAnswer: 153*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2151 - 2156. Sort t, -2\/17, -4.2 in increasing order.\nAnswer: t, -4.2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**5 + 32*z**4\/3 - 8*z**3 - 64*z**2 + 128*z\/3 = 0.\nAnswer: -4, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 18\/(-33) - 122\/22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 12 = 5*t, -5*o - 7*o - 2*t + 23 = -o + 3*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -193\/4. Let r = -5 - -15. Let n = r - 10.2. What is the nearest to d in 0.5, -5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6541, 6462, 6383?\nAnswer: 6304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 122*t - 9*t**3 - 60*t - 59*t + (2*t - 3*t + 2*t)*(0*t**2 + 2*t**2 - t**2) + 58*t**3 + 3*t**3 + 42*t**3.\nAnswer: 95*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g - 4. Let j be n(6). What is the common denominator of (-79*6\/j)\/(30\/25) and -15\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 30 = -3*k. Let w = k + 2. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 4*u - 5*u + 12*u - 4*u as t + a*u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/27 (b) -0.1 (c) 63 (d) 3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 0, 5 = -n - 0*n - s. Let g(h) = -3 - 2*h + 14*h**3 - 32*h**3 + 13*h**3 + 5*h. Let z(j) = 9*j**3 - 5*j + 5. Give n*g(q) - 3*z(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 33*l - 118. Let s be q(11). Let a = 256 - s. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11825 divided by 5\nAnswer: 2365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, 17, 503, 4, -4, 1 in decreasing order.\nAnswer: 503, 26, 17, 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-15))\/((-3)\/36) - 30\/(-7). Let s = 33.034 - 0.034. Which is the smallest value? (a) s (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 17 = -13. Suppose -l = -n*l + 18. Solve 0 = f + 3 - l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*sqrt(7))**2 - sqrt(7)) + -2*((sqrt(7) - sqrt(112)) + sqrt(7))**2)*-2.\nAnswer: 2*sqrt(7) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1225*n = 1617*n - 1568 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 64\/247 - 30\/285. Let c = 0 + -1. Sort c, -0.1, j in decreasing order.\nAnswer: j, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 7*d**2 - 8*d + 8. Let i be b(6). Let q be (-18)\/(-4) + 2\/i. Let h = 11 - 7. Solve 6 = 2*u - 0, -q*w + 20 = h*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259167 to the power of 1\/2, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -310 - -332. Calculate the lowest common multiple of c and 114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 26 - (10 + -9 + 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -308.6923849 + 308.68. Round o to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471810 divided by 6.\nAnswer: -78635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*l + 2 = 3, -3*g = 3*l - 3. Suppose -1365 = -g*z + 4449. Find the common denominator of -36\/7 and 1\/3 - z\/(-270).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-18)*-3*33. Let m = d + -8. Let s be 0\/(2 + (-6 - -1)\/5). Solve 12 = -s*z - m*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, q: 2, l: 6, h: 4, u: 2, o: 1}. Give prob of picking 1 o, 2 u, and 1 q.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -11*x**4\/24 + 6*x**2. What is d(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-16)\/40*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124912 divided by 4?\nAnswer: -531228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3115*l - 8779 wrt l?\nAnswer: -3115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1755 - 1754.6. Which is the closest to -6? (a) -6 (b) -3 (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**3 + 13*w**2 + 4*w - 4. Let g(k) = -13*k**3 + 25*k**2 + 7*k - 7. Let f(b) = 4*g(b) - 7*r(b). What is the third derivative of f(a) wrt a?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - -14) + -7 - -2) + -15 - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010003941 to 7 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/((15\/(-24))\/((-300)\/48))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r - 4*w - 0, 20 = r + 5*w. Solve 0*c - u = -r*c - 22, 2*u - 12 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -1\/9, 5, -1691, 3, 2\/5 in increasing order.\nAnswer: -1691, -6, -1\/9, 0, 2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/3 - 16\/12. Let w be (v\/(-4))\/(42\/(-56)). Solve -w*c + 2 = -k, -3*k - 4*c - 5 + 29 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**7\/504 + a**6\/240 - a**5\/40 - a**4\/24 - 3*a**2. Let t(q) be the second derivative of z(q). Is 17 a factor of t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + r)*(2 + 0 - 1) + 5*r - 4*r + r + (-1 - 6 + 0)*(-4*r + 2*r + 3*r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-17))\/(c\/c**(-4\/7)*c) assuming c is positive.\nAnswer: c**(-130\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 95028 = -2*q, -5*u - 204*q + 203*q = -95046. Is 27 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-73)\/(14965\/492))\/(-2*1\/15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -3, -31, -1976 in descending order.\nAnswer: -3, -31, -82, -1976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmzzzzzzz. What is prob of sequence mz?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1610\/9 or 178?\nAnswer: 1610\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + l - 1. Let k be f(2). Suppose -2*b - 4*x = 0, 32 = -5*b - 2*x + 8. Sort 3, k, b in decreasing order.\nAnswer: 3, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*g = -18, 54*x = 49*x - 40*g - 165 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -197656 not equal to -194091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -1\/30577821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) -1370871\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1 + (1 + 0 - 3)*(1 - 5 + 1) + 1 - 3 + 4)*(2*q - 1 + 1)*(-2*q - 2*q + 5*q) to the form k + u*q + n*q**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154284308*h**3 + 2*h - 31148484?\nAnswer: 925705848*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 2\/7, -8\/7, -0.02, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26221.\nAnswer: 13, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24753 - -22781. What is the third biggest value in -4, 5, v, 1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -2\/3, -2\/13, -8, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 9 + 14)*(2 - 6 - 1)*(64 + 75 - 116 - 22*k) to n*k + w and give n.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 - 42 + 160)*(-2*t - 1 + 1) + (t + 0 + 0)*(-5 - 16 - 32).\nAnswer: -121*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1610320 or 1610323?\nAnswer: 1610320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 572, 1144, 1716?\n\"Answer: 572*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/30 + 42\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-1 - -14) + -6 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 46*z**2 - 4476*z + 18408. Give o(93).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:49 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -12*c**3 + 8*c**2 - 6*c + 20. Let s be q(-7). What is s rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 43. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18885 is divided by 991.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (41339 + 8*p**2 - 6*p**2 - 39741)*(p**2 + p**2 + p**2) in the form n + z*p + x*p**3 + o*p**2 + k*p**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 63 = 5*r, 0 = 3*r + 3*i + 11 - 47. Suppose 70 = 29*x - r*x. Solve -z + 4 = x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-800)*(-95 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 0, -76\/5, -578 in ascending order.\nAnswer: -578, -76\/5, 0, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 437, 653, 869, 1085?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/12 and -62\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l**6*l)\/l*l)\/l*l*l**(-2\/3)*l)\/((l**(-32)\/l)\/(l*l**(-14))) assuming l is positive.\nAnswer: l**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*p - 4914 = 109*p. Does 40 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 638675?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/7840*10)\/((-2)\/4 - -1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, and 2 w when four letters picked without replacement from {o: 2, f: 6, g: 1, w: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.6529 millilitres in litres?\nAnswer: 0.3366529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 272721?\nAnswer: 4\/90907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57709 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1670 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s**2 + 1. Let f(r) = 2*r**3 + 28*r**2 - 32*r - 31. Let c be f(-15). Let j(i) = 5*i**3 + 2*i**2 + 5*i - 2. What is c*j(d) - 2*z(d)?\nAnswer: -3*d**3 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.36 - -4.26. Let o = 0.09 + 0.21. Put f, -2, 0, o in ascending order.\nAnswer: -2, f, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4034543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(2736)*6 + (-1 + sqrt(2736) + -4 - ((sqrt(2736) - (sqrt(2736)*-2 - sqrt(2736))) + 4 - sqrt(2736))))**2.\nAnswer: -4752*sqrt(19) + 1324305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3872 divide 122925732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 316 - 215?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5*(-10)\/(-16)*(-31416)\/357\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 2:18 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:16 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.1. Let p = o - 0.2. Suppose 8*h + 20 = 3*h, 4*m = 3*h + 8. What is the third biggest value in 2, p, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -0.1 (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/5, 0.1, 0.3 in increasing order.\nAnswer: -2, 0.1, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117886\/7 or -16840?\nAnswer: -117886\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(405)\/(1*sqrt(9)) + 2 + -6*(sqrt(45) + 3*sqrt(45))**2.\nAnswer: -4322 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 10.18673.\nAnswer: -0.8149384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -268\/7 + 38. Which is the nearest to z? (a) -5 (b) 0.2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.2976 - -5.017. Round b to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54 + 0)\/((-4)\/6). Let n = 81 - o. Suppose n = -6*m + 99 + 33. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101412223 (base 6) to base 9.\nAnswer: -3271136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 10:52 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3 - 3)*(-m**2 + 2*m**2 - 3*m**2) + (-3*m + m + m)*(0 + 0 + 5*m**2).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -31, 6, -6, 169, 5, 3 in decreasing order.\nAnswer: 169, 6, 5, 3, 1, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.975 years in decades?\nAnswer: 40.9975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 times 0.031724?\nAnswer: 0.1554476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -36, -32, -28, -24, -20, -16?\n\"Answer: 4*m - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 12*n - 4. Let q be v(1). Let l be (q\/16)\/(2\/72). Suppose 0 = -4*i + 66 + l. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 - 517*f**3 - 2080*f**2 - 2084*f = 0. What is f?\nAnswer: -2, 0, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1116 + 1218. Is -6 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 15*u**2 - 12*u + 31. Let g be y(-14). Suppose 0 = -3*r + 10 - 7, -3*c - g*r = -18. Put 1, -189, 4, c in descending order.\nAnswer: c, 4, 1, -189","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*v**2 + 3*v**3 - 8*v**2)*(-2*v + 1 - 1)*(1 + 1 - 5)*(4 - 2 + 0) as x*v**3 + u + q*v**2 + b*v + d*v**4 and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*v = 3254 - 879, 0 = 3*b - v - 1421. Calculate the smallest common multiple of 4 and b.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -18 - 2. Solve -4*q + 3*l - 9 = 22, 2*l - o = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 10 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*q)*(1 - 2 + 3) + 0*q + 13*q - 1 + 5*q + (-2*q + 0*q + 0*q)*(31 - 11 + 4).\nAnswer: -26*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bhbh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.614 (b) -2 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4713 = 72*p + 20*p - 71505. What is the remainder when p is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 978957961 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 13. Let c(w) be the first derivative of 2*w**3\/3 - 6*w + 5209. Determine c(s(a)).\nAnswer: 8*a**2 + 104*a + 332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13) + 0 + sqrt(91)\/(sqrt(7) + (sqrt(7) - (sqrt(7) - sqrt(28)))) + (sqrt(130)\/(4*sqrt(90)\/sqrt(9)))**2.\nAnswer: 13\/16 + 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-213)\/(-142) - (-18)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 - 9*h - 7. Let g(t) = -t**2 + 15*t + 10. Let n be g(15). Let c = n - 5. What is the tens digit of u(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1162 and 1792?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 11:24 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j + 64. Let a be n(16). Solve -6 = 3*f - a*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9613949 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 - 246*y - 62608\/5.\nAnswer: -2*(y + 56)*(y + 559)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -3 + (10 - 18) + 5 + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*v - 14 = 8, 0 = -5*n - 2*v + 17. Suppose -i**3 + n*i**3 - 2*i**3 - 2*i = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 282 + -162. Let f = u - 119.9. Let p = -21 - -18. Which is the second smallest value? (a) f (b) 4 (c) -4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5707\/2, -9, 0, 1 in descending order.\nAnswer: 1, 0, -9, -5707\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(((((v*v**(-1\/3))\/v)\/v*v)\/v)\/v)*v))**24)**(-1\/35) assuming v is positive.\nAnswer: v**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrfb. What is prob of picking 2 b and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 8*g**2 + 16*g**2 - 7*g**2)*(-2 + 9 + 2).\nAnswer: 18*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/14 in 1\/63, 0.06, 0.76?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -28. Let n = c + -25. Let l = n + 90. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 - 29 - 2*b**3 - 33*b + 2*b**4 + 34*b to k*b**4 + o*b**2 + c + y*b + t*b**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Let j(t) = -177*t**2. Give o(j(w)).\nAnswer: 177*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = f - 46, -p = -35*f + 35 + 46 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 6165?\nAnswer: 24660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 + 23*g**4 + 142*g**3 + 98*g**2 - 143*g - 121.\nAnswer: (g - 1)*(g + 1)**2*(g + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -464 - -467. What is the fourth biggest value in 2\/19, 2, 5, u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(140\/(-203)) + 7 + (-495)\/(-252). Factor -g*c + 10\/7 + 2\/7*c**2.\nAnswer: 2*(c - 5)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8963153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 7*w**2 + w - 5. Let s be p(7). Suppose -2*i = 10, s*i = 3*z - 67 + 12. Solve -2*l - l = -z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-26 + -1 + -12 - (-37 + 12))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 8:17 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five sevenths of a week in days?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1233996 and 7591758?\nAnswer: 349220868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f - 2*f + 0 + 3 - 5. Let d be o(1). Which is the third biggest value? (a) 0.02 (b) 2\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayyyyyyyyayayayaya. What is prob of picking 3 y?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 1. Let u(y) = y**3 + 5*y**2 - 10*y + 11. Let t(g) = -6*a(g) - u(g). Calculate t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 12:59 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4.15. Let v = -0.05 - y. Which is the smallest value? (a) v (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 5403*i**2 + 1905*i**2 + 2*i + 0*i.\nAnswer: -3498*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 173.5772583 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.5, -2.7, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 1, r: 1, q: 1, s: 2, p: 1}. What is prob of sequence orp?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 748226 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1463 (base 11) to base 5\nAnswer: 30014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -19*o - 103. Let c be i(-8). Solve 2*q + 59 - c = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((3\/(-5))\/1). Let k = 7847 - 7832. Does 11 divide ((-275)\/k)\/(g\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 12 = 5*c - 3*j, 0 = -5*c - j + 44. Suppose -2*a + 1573 = -y + 4*y, 3*y = -c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401 (base 6) in base 3?\nAnswer: 210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxo when three letters picked without replacement from oqxoooooooo.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3222 (base 5) to base 13\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283 + 165*m + 138 + 30 + 65.\nAnswer: 165*m + 516","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + a + 9, c - 4*a - 65 = -67 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7193, -1108 in descending order.\nAnswer: 7193, 4, -1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (9 - (11 + -5))) + -10 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n + 3. Let i be m(2). Suppose 4*h - i = 1. Let y = -5.07 + 0.07. What is the third smallest value in h, y, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1816854 in 4, -0.5, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347 (base 12) in base 14?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -309.4 * -4\nAnswer: 1237.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-19)*(o*o*o\/o**(-2\/15))\/o)**(-20\/11) assuming o is positive.\nAnswer: o**(92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/14378 and -59\/287560?\nAnswer: 287560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 b, and 1 h when four letters picked without replacement from {d: 2, h: 1, a: 4, b: 1, c: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12092 and -101\/8.\nAnswer: 24184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + -5 - 3)\/(6\/2). Solve -2*c - 3*c + 25 = m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13500565 and 6790225?\nAnswer: 1147548025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711*i = -1730*i - 34646 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5651426377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/5)\/((-4)\/(-20)). Let f(o) = -o**3 + 4*o**2 - 5*o + 2. Calculate f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911 - 872 - (-43 + 4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -213944 divided by 4\nAnswer: -53486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 4. Let n be -2*-3*(-2)\/90. What is the second biggest value in 0.1, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 + 4. Suppose -6*w - y - 43 = 0. Is (w\/14)\/(4\/(-896)) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949768?\nAnswer: 2, 227, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18089, 18084, 18067, 18032, 17973, 17884, 17759, 17592?\nAnswer: 17377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876 is divided by (-486)\/(-21) - (-8)\/(-224)*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2625598*d*r**3 - 172498549*d + 11*r wrt r.\nAnswer: 7876794*d*r**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.35 + 39.35. What is the third smallest value in 3, -15, 1\/6, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217560481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let x = s - -0.7. What is the closest to -1 in 3\/5, x, 0.12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 45, 46, 37, 12?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22923 and 566.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 8*x. Let k(q) = 41*q**2 - 17*q**2 - 5*q**2 - 64*q - 11*q**2. Let a(r) = -51*b(r) + 6*k(r). Find s, given that a(s) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43410 (base 7) to base 8\nAnswer: -25124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 63, 93, 109, 105, 75, 13, -87, -231?\n\"Answer: -j**3 - j**2 + 40*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (6\/3 - 2). Let o be (-3 - -6)*(-62)\/z. Let h be -3 + (-1 - o\/14). Put 0, 2\/9, h in increasing order.\nAnswer: 0, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 5696*y**3 + 17052*y**2.\nAnswer: 4*y**2*(y - 1421)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 9. Let s be o(5). List the prime factors of -1 - (-20)\/(-2)*s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184*q**3 - q**2 - 307*q wrt q.\nAnswer: 1104*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 12*o - 91. Suppose o*g = -4*k + 116, -10*g + 4*k - 56 = -12*g. What is the remainder when g is divided by (-2)\/(-7) + (-162)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or -766?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 387, 11\/5, 56, 1\/3?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000603967589 rounded to 6 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a9510 (base 11) to base 6.\nAnswer: -10505424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -6*v - 22. Calculate the remainder when 45 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579640.\nAnswer: 2, 5, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163159*n**3 + 2274*n + 4 wrt n?\nAnswer: 978954*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 498 - 496. Suppose -10*a + 12 - u = 0. What is the highest common factor of a and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24, -3, -2, 0.1, 11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3174731 or 42?\nAnswer: 3174731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 - (-2 + -9 + 20 + -19) - (-1 + -10)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*z + 341*z = -4*b - 45, 2*z + 20 = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = -y, -5 = -y - 4. What is the remainder when (-1 + -37)*g\/(-2)*5 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 7b?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 18. Let v = 19.3 + -19.4. What is the second smallest value in 1\/3, j, 11, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310182198 to the power of 1\/3, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 6, i: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 445939 times 0.25\nAnswer: 111484.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 13.5442 and 11.\nAnswer: 24.5442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 97599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 23*z + 7. Does 58 divide w(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1039\/7*1 + 24\/42. Let d = g - -73. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-3*sqrt(36) + sqrt(36))*3 + sqrt(36)))\/((sqrt(576)*6)\/sqrt(3)).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*p = 51576. What is the tens digit of (2\/6)\/((-8)\/p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -47.000027. Round r to 6 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 15 + (-9 - -18) + -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 68.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (250\/(-20))\/(-25)*((-1088)\/(-56))\/(-4).\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.072317189 to four decimal places.\nAnswer: 0.0723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5 - 10*p**3 + 8*p = 0. Calculate p.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/6 - j**3\/6 - 147*j**2\/2 - 837*j\/2 - 612.\nAnswer: (j - 24)*(j + 3)**2*(j + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2. Let z(k) = -6 - 3 - 4*k**2 + k + 11. Suppose s = n + 1, 3*s - 6*n - 11 = -n. What is s*r(m) + z(m)?\nAnswer: -m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 9:57 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r - 5. Calculate c(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5\/2 (b) 4 (c) -4 (d) 108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a313 + 3?\nAnswer: 2a316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccwcchwccwwhwc. What is prob of sequence hhc?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/13)\/q**38)\/(q**(-3\/16)*q)**(1\/12) assuming q is positive.\nAnswer: q**(-95785\/2496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67.844 - -0.156. Let h = 64 - f. Is -6\/7 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 26. Solve 5 = m*g - 10*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = 10*g - 2976, 0 = -2*z - 8. What is the remainder when g is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/43720 and -23\/69952?\nAnswer: 349760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, g: 2, e: 2, i: 1}. What is prob of sequence gi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 2266 and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 9*h**2 + 3*h - 17. Is b(8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 108 + 12 = 0. Suppose 0 = 3*c - a - 84. Suppose 41 = 2*h - 5*f - 17, -2*h - 4*f = -22. What is the remainder when c is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72772 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 936 and 1664.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + g - g)*(9*g + 11*g - g) - 2*g**3 + 0*g**3 - g**3 - 2*g**3 - 4*g**3 + 2*g**3.\nAnswer: 69*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2, 4*m - y - 2*y - 338 = 0. Suppose 7*n - 8 = m. What is the remainder when n is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50644, 50635, 50626, 50617, 50608?\nAnswer: 50599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**4\/4 - 4*r. Let u(d) = 0 + 0 - 3*d + 0. Give u(f(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 11 + 20*a + 8*a**3 + 4*a**4 + 0*a**4 - 23*a + 0 to u*a**3 + y*a**2 + z*a + b*a**4 + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 25*n**6\/42 + 3*n**5\/7 - 17*n**4\/14 - 2*n**3\/3 + 9*n**2\/14 - n\/7 - 310. Determine h, given that k(h) = 0.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 + 46*a**2 - 24493*a + 537871. Calculate j(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1 + 2*a**2 + 0*a**2 + 1. Let g be (-4)\/(-5)*(-15)\/(-6). Let d(k) = -g + 2*k**2 + 2. Calculate d(i(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(189)*-3)\/(sqrt(7) - sqrt(49)\/(sqrt(63)\/sqrt(9)) - sqrt(7)) + -2.\nAnswer: -3 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256285609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5}. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.9 - -15. Sort u, 4, 6\/23 in descending order.\nAnswer: 4, 6\/23, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**4\/4 - 17*x**3\/3 + 15*x**2\/2 + 25*x + 83. Let k be h(16). Is 2 greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = -12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.3 + 0.7. Let c = d - 12.99945. What is c rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 1 = -2*j - 18, 11 = 4*j + 5*a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23132300 and 600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 272 (b) 0.3 (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/42 - (-92)\/12. Solve -4*h + 11 = l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Let w(v) = -2 + 2*v + 2*v**2 + v**3 + 0*v**n - 5*v**3. Let q(r) = -r**3 + r**2 + r - 1. Let s be ((-2)\/(-4))\/(3\/12). Determine s*q(l) - w(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3055340 = -2*o + 619305, -1218031 = o + 5*t. Let c = -2048016 - o. What is c rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-4)\/304*-4). Let i be ((-12)\/9)\/(g\/6). Do 0 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 30. Let w(i) = i**3 - 2*i**2 + i - 43. Let h be w(0). Let z = h + 80. Calculate the remainder when z is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/5)*i\/i**4*i)\/(i*i**(1\/3))**(-1\/18))\/((((i*i*i**3*i)\/i)\/i**(-5))\/(((i\/((i*i\/(i\/i**(-4)))\/i))\/i)\/(i**5*i))) assuming i is positive.\nAnswer: i**(-1907\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3463324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 591*n - 3056217 = 15631203. Is n a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 407 + -403. Solve b - 4*z = -3*b - 12, l*z = -3*b - 23 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 731069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7699655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527611312 to the power of 1\/2, to the nearest integer?\nAnswer: 39085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 632, 631, 638, 659, 700, 767, 866, 1003?\nAnswer: 1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/52, -11, 0.0151?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 154117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 342777105*i**2*j**3 - 23102*i**2*j**2 - i**2*j - i*j**2 - 158*j**2 wrt j?\nAnswer: 2056662630*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 3:26 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -17. What is the remainder when 29 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssss. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/5 of a centimeter in millimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/8 of a milligram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, p: 3, s: 4, e: 2, t: 1, l: 3}. Give prob of sequence lpp.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2 and -37722.\nAnswer: -82988.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 657 - -2?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169596 and 232?\nAnswer: 9836568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*p + 39 = 0, 63*n - 60*n - 3*p = 27 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*c = 3, -18*a + 13*a + 4*c + 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17a18 + -a303?\nAnswer: 8715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5970*r + 13 - 2953*r - 2991*r to the form o*r + l and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1080 = -8*h. Calculate the remainder when h is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*g = 2240 - 544, 20 = 5*g. Suppose 2*k + v = 10*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9369152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*k - 688*k = 756 - 297 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(5\/6)*f**(8\/7))**(-23))**(-37))**(-11) assuming f is positive.\nAnswer: f**(-776963\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-nine quarters of a tonne?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 37*c - 105. Let n(q) = 60*q - 211. What is -5*h(p) + 3*n(p)?\nAnswer: -5*p - 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9636291 = 9636289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3266814 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*i*x**3 + 2692*i*x**2 - i*x - 391*x**3 - 920*x wrt i?\nAnswer: -4*x**3 + 2692*x**2 - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15615 = -106*h + 367*h - 3087 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 991537 to the power of 1\/2, to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-4 - (0 - 1)). Let j = -312 + 314. Let l(t) = -t**3 + 3*t**2 + 5*t - 1. Let h be l(4). Sort j, -5, h, f.\nAnswer: -5, f, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sopooopppo. Give prob of sequence op.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/4413 + 4642\/1875525. Is 1 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (10 + -20)) + -9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 20 = -0*o, -3*o + 28 = d. Suppose z - 807 = -d. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2754394366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 192422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264295 or -264298?\nAnswer: -264298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 5*u**4\/4 - 10*u**3\/3 - 5*u**2\/2 + 10*u - 4. Factor v(m).\nAnswer: 5*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12854 + -7348. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2727460 by 5.\nAnswer: -545492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210002 (base 3) in base 9?\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2807662, -2807665, -2807668, -2807671, -2807674?\nAnswer: -2807677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9571*f - 9835*f - 8448 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 2910.\nAnswer: -2, 2, 2910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 1213. Let j(m) = 3816*m - 2. Determine s(j(g)).\nAnswer: -7632*g - 1209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*t - 2*t. Let h = t + 2. Does 11 divide 31\/h - (1 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-4) + (-450)\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 396*j - 252*j - 1584. Solve -i - j = -3*u - 12, 0 = -2*u + 4*i + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13319147, -26638295, -39957443, -53276591?\n\"Answer: -13319148*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89121 is divided by 1650.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -59*g - 124. Determine d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.1. Let u = 0.215 - -0.285. Let i = -18\/5 - -16\/5. Which is the closest to i? (a) t (b) u (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 1)\/(-9 + 7 - 4). Let r(i) = -i**2 + i + 3. Let b be r(m). Let v(d) = -2*d**3 + d**2 + 3*d + 2. What is v(b)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638\/(-49764) - 290\/1716?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 4123.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -30) + 70 - 23 - 14?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5889 - 6394.28. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 436\/105 - 30\/7. Suppose 0*m = -10*m - 40. Which is the smallest value? (a) 5 (b) l (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 65454*y + 1701743. Calculate h(-26).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8075 or 44526?\nAnswer: -8075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3255057380 - 4?\nAnswer: -3255057384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 639*o - 14. Let x be u(2). Suppose -5*l + x = 3*l. What are the prime factors of l?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 1:20 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-6) + 3\/9. What is the third derivative of o**2 + 16*o**3 + 2*o**2 - 12*o**z wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 l, 1 j, and 1 t when four letters picked without replacement from lojtlotltllrtj?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 2*b - 1. Let v be p(1). Let c be (2 - 1 - 2) + v. Let y be 3\/1 - c\/(-1). Solve -y*a + 14 = 4*x, a - 4*a + 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-12) + 6\/9. Solve -2*v + 8 = s, -5*f - 2*v + 7*v = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745414543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 10*l**2 - 4*l - 15. Let r be m(4). What is the highest common factor of r and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-58)*28\/(-13020)*-93?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 580940.5 meters?\nAnswer: 580940500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 742\/53*3\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376666 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -535362, -2142931, -4822212, -8573205, -13395910?\nAnswer: -19290327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7346 times 185.8?\nAnswer: -508.08868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3 + 150*z**2 - 7920*z + 64800 = 0. Calculate z.\nAnswer: -60, 12, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -33*h**8\/112 + h**6\/24 + 139*h**5\/12 - 2231*h**2. What is the third derivative of u(c) wrt c?\nAnswer: -5940*c**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - l - 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 10 = 3*z. Suppose 0 = -z*k + 5*p - 4700025, -p = 2*k - 4*p + 1880015. What is k rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 20*z**2 + 12*z**2 - 21*z**2 to the form i + f*z + m*z**2 and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(272) + -4 - ((4*sqrt(272)*-2)**2 + sqrt(272))) + ((-4 + sqrt(272)*2)**2 - (5 + 1*sqrt(272) + sqrt(272) + sqrt(272))**2) + 4)*-2.\nAnswer: 368*sqrt(17) + 37554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t + 0*t + (3 - 4 + 2)*(-t - t + t) + 2*t - 3*t + 3*t)*(150 - 13 + 26 + 2120 + 669).\nAnswer: 8856*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(4\/5)*q)*q\/(q*q*q**(-8\/5)*q*q*q))**(-1) assuming q is positive.\nAnswer: q**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53911231 + -33958215. Let r = v + -19953015.89899941. Let f = r + -0.101. What is f rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875)*2 + sqrt(875) + sqrt(35))*-5)\/(1*sqrt(125) - sqrt(125) - (sqrt(500)*-2 - sqrt(5))).\nAnswer: -80*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.112171?\nAnswer: -0.0336513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**4 + 2*y**4 - 3*y**4)*(-6*y - 10*y + 6*y) + (1 - 1 - y)*(3*y**4 - 4*y**4 + 0*y**4) + 2*y**5 + 0*y**2 + 0*y**2 + (-2 + 2 - y**4)*(10*y - 8 + 8).\nAnswer: -27*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 33 = -156. Suppose -4 = 3*f + 5*b, f = 4*b - 2 + 29. What is the highest common divisor of f and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3290 = -27*u - 109*u + 89*u - 47*u for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*k = 4, -4*w + 2*w = -k + 2. Let b = -169 + 1858\/11. Let c = -1 + 2. What is the closest to 1 in w, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -21*h + 295. Let q be c(14). What is the second smallest value in -2\/7, q, -5.07?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 122.68 and 0.034206.\nAnswer: 4.19639208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 + -0.49. Let t = 4.89 + o. Let v be (-32)\/60*(-3)\/(-2). What is the third smallest value in t, v, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - c = -2, 4*n - 12 = 2*c - 4. Let j = n + -1. Sort -5, j, -0.3.\nAnswer: -5, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796 divided by 4?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/1120 and -71\/3930430.\nAnswer: 62886880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 7*d**2)*(5 - 3 + 1)*(-1 - 4 + 3)*(-2 - 1 + 5)*(-4 + 3 + 3).\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 198899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 - i - 1. Let b = 1 + -4. What are the prime factors of y(b)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1886c758 + -2?\nAnswer: -1886c75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**2. Let x(a) = a**2 - 27. What is x(h(j))?\nAnswer: 49*j**4 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a**5 - 6*a**4 + 10*a**2 + 5554*a.\nAnswer: -120*a**3 - 72*a**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)\/k*k)\/k*((k*k**(6\/23)*k)\/k*k)\/k*(k\/(k*(k\/k**24)\/k))**9 assuming k is positive.\nAnswer: k**(4629\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:57 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a239b (base 14) in base 15?\nAnswer: -13504c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 181\/3 + (-3)\/9 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -803, -1717, -2561, -3329, -4015?\n\"Answer: k**3 + 29*k**2 - 1008*k + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3720005467 + -0.372. Round q to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -3 - (336 + -328 + -1 + 1)) + -99.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 2*y**2 + 2. Let p be d(-2). Suppose 56 = 5*c - 4*r, 0*c - 5*r - 4 = p*c. Calculate the greatest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22146502 + 5?\nAnswer: -22146464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and -163?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:49 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, -7, 348, 2 in decreasing order.\nAnswer: 348, 6, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**3 - 2*y**2. Let l = -5 - -9. Suppose 120 = l*q + 4*r, -4*r = -0*q - 3*q + 90. What is the remainder when q is divided by s(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 = -m. Suppose -p - 5*y + 20 = 0, -2*p - 5*y + 120 = m*p. Let w be (30\/p)\/(3\/(-10)). Which is the third biggest value? (a) w (b) 2\/3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.942316 and -41558.\nAnswer: -41562.942316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9634725 weeks?\nAnswer: 582708.168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75699?\nAnswer: 3, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 - -4 - (-6)\/2 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 0.4, 1, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5127 - 5751?\nAnswer: -a878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-65)\/(-104)*2)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 7854\nAnswer: -3141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 173886 divided by -24?\nAnswer: -28981\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -97*f**2 - 3*f. Let d(s) = s**2 + 3*s. What is 2*c(g) + 2*d(g)?\nAnswer: -192*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.019383973.\nAnswer: -0.038767946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*(0 + sqrt(242)) - -4*(0 + sqrt(242) - sqrt(242)))**2 + (3 + (1*sqrt(242) - sqrt(242)) + (5*(sqrt(242) + 0) - sqrt(242)))**2).\nAnswer: 528*sqrt(2) + 8246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-24) - ((3 - -3) + 0)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/34)\/(((-2)\/(-16)*-2)\/((-27753)\/(-111012))).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-8)*((-6)\/4)\/((-69)\/92).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 14 + 28 + -35\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151570.\nAnswer: 2, 5, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1111, -843, -505, -61, 525, 1289?\nAnswer: 2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 538413037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 3\/7 (c) 2 (d) 24044\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 27*t**3 + 2*t + 2. Determine k(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7015\/5856 - ((-2)\/(-1) - (-14)\/(-6)) and 71\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + q + 1702 = 0, -335 = -p - 51*q + 53*q. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 10416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 - -188. Let p be (-1)\/(-2) + 7\/(-22). Sort p, d, 5 in descending order.\nAnswer: 5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 + 35*c**2 + 3*c + 5. What is the tens digit of k(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(2*sqrt(96)) + sqrt(475) + 1 + -1 + 0.\nAnswer: 41*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 100709040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**5 + 5*y**5 - 5*y**5)*(-1 + 6 - 3) + (-y**3 - 2*y**3 + 4*y**3)*(-y**2 - y**2 + 3*y**2) - y**2 + 2*y**5 + y**2.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132477 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.6 - -8.1. Let d = 51 - 205\/4. Which is the closest to 3? (a) d (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596795 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: Let j(f) = 13*f - 2. Let q be j(5). Let b be 0 + (-3)\/4*-4. Suppose -4*h = 2*u - 9*h - 47, -b*u + 5*h = -q. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -s - 2*s + 18, 5*s - 19 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - -30. What is the remainder when a is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4988, -9970, -14916, -19808, -24628, -29358?\nAnswer: -33980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 1. Let i(n) = -n**2 + n - 6. Let k(s) = -i(s) - 3*r(s). Let w(x) = 28*x - 120. Let c be w(7). Suppose 0 = c*f - 69*f - 21. Determine k(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3 - 18*y - 2 + 4 + 0. Is c(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 times -0.51387\nAnswer: -0.01849932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t - 99*t**2 - 13*t**3 - 102*t**2 + 302*t**2 - 106*t**2 as s*t**2 + y*t**3 + h + x*t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/79986593 or -1?\nAnswer: -5\/79986593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 4:48 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/(-67))\/(4\/254*8*27\/432).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 792013.7 - -0.19.\nAnswer: 792013.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 546*s - 278. Is t(38) a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -7*w - 3*l, 5*l = 51*w - 48*w - 7 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -118, -2, 37, -5 in decreasing order.\nAnswer: 37, -2, -3, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4320 = 40*q - 32*q. Is 27 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + h - h + 5 + 0. Let b(o) = 5*o - 11. Let j be (-22)\/33 - (-38)\/(-6). Determine j*z(x) - 3*b(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - (11 - 8) - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {a: 14, p: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnntnqnnnnnntnt. Give prob of picking 1 q and 1 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 0.01 (c) -1 (d) -58\/5 (e) 10 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbgkbbbkb. What is prob of sequence bgbb?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 32 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/551 or 0.1?\nAnswer: 2\/551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 16 + 36 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 28473.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082 + 4021 + 1767 = -458*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -16313 less than or equal to -16305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.5 - 34. Sort 2\/9, o, -0.1, 0.2.\nAnswer: -0.1, 0.2, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 100 and 8.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 44 + 58 = 0. Let a = u + 176. Suppose 40 - a = -4*n + 3*m, 3*n + 5*m - 42 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3 = 1. Suppose 1 = -c*s + 5. Suppose -20*x = -26 - 34. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + (-19)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 142 = 4*x, 39*k - 36*k - x = 234. What is the highest common divisor of 341 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 696\/(-4104) - (-60)\/270\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130865896*n**3 + 130865904*n**3 - 261731803*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjt when three letters picked without replacement from {g: 2, t: 2, z: 1, j: 5, h: 2, v: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7700?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -0.1 (c) -3\/4 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5. Is 27 a factor of (5 + 5)*(-7)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:29 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 10*c**2 - c - 8. Let v be l(-10). Let x = -4 - v. Calculate the lowest common multiple of 26 and (30\/9)\/((-1)\/x).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -3 - (0 - 2). Let f be (-7)\/((-7)\/12) + q. Suppose -w + 37 = f. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1344 divide 1334438784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7018399206?\nAnswer: 2, 3, 7, 13, 4284737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/132*3516 + (-2)\/(-11). Put -2, -4, m in ascending order.\nAnswer: m, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5792145 + -69579235\/12. Let w = x + 6112. Let c = -385 + 715\/2. Find the common denominator of w and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 4. Let b be r(-10). Let z = 18 - b. Suppose -102 = -3*j - z*q + 163, -2*q = 2*j - 178. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 1, k: 1}. Give prob of sequence aka.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 395859817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 200.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 - 9 + 39 = 15*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 36*y**2 - 10. Determine o(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 = -0*p. Let l(j) = -4*j + 2. Let c(h) = h - 1. Let g(n) = -15*c(n) - 5*l(n). What are the prime factors of g(p)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31221705.\nAnswer: 3, 5, 41, 50767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1 - (-5 - -6)). Let r be i\/(4 - (4 + -2)). Suppose 13*m = -r*m + 1261. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -4, 1\/7, 20?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 11. Let f(w) = -15. Let c(s) = 3*f(s) + 4*u(s). Let q(t) be the first derivative of -t**3 + 6*t - 4. Calculate -6*c(x) - q(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 36. Suppose -3*n + 7*n + 12 = c. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -157*u**2 - 6*u - 5. Let h be a(-3). What is h rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2912 and 145\/21336?\nAnswer: 1109472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - q - 2. Determine w(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143.1 + -143.1002141. Round d to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qmqmq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/40 and 107\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*a**3 - 69*a**3 - 39252 + 78496 - 39243)*(2*a**2 - 4*a**2 + 0*a**2).\nAnswer: 214*a**5 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g - 0*g - 15*g + 230 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -433543031 (base 6) to base 15\nAnswer: -a2e331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2805995 is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -1, 0.12, -0.0734, -5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11273 times 84\nAnswer: 946932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*k + 35 = 0, -5*a = -a + 5*k - 29. Solve j + 13 = a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let u be v\/4 + (-326)\/(-8). Let m = 59 - u. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2819 + 2837. Calculate the lowest common multiple of 358 and y.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1102, -8605, -28906, -68407, -133510?\nAnswer: -230617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*c + 77, -4*v - 4*c + 72 = -0*v. Let u = 5 + -1. Suppose a - 1 = -2*a + q, -u*a + v = q. Is 2 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 7 = 19. Let b(d) = -5*d + 36. Let z(k) = -k + 7. Let c(g) = f*b(g) + 11*z(g). Let v be c(-10). Solve -2*h = o + v, 0 = -0*h + h + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 4*x**3 + 2*x - 2*x**2 - 6*x**2 - 3*x**3 + 7*x**2 in the form l*x**2 + g*x + f + c*x**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 6. Let m be r(-6). Is -2*7737\/m*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 312\/(-30)*(210\/4)\/(-7). Suppose 0 = -25*n + 19*n + r. Suppose 38 = 5*m + 13. What is the remainder when n is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 + -76. Suppose 4*b + 148 = -0*k + 5*k, -b = 2. Suppose k = 6*y - 2*y. Calculate the greatest common factor of y and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -711?\nAnswer: 70c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1807 + 45*l**3 + 1806 + 1649 + 94*l**3 - 5262.\nAnswer: 139*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 3*q**2. Let v be h(-2). Suppose -v*p = p + 25, 0 = -3*x + 4*p + 35. Solve -x = -r - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:10 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, -21\/8, 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v. Let b(j) = 2*j**2 - 3*j. Let x be b(2). Let m(s) = -s. Let c(k) = x*m(k) - q(k). Suppose 126*y - 134*y + 16 = 0. What is c(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78615115?\nAnswer: 5, 15723023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11418 and 26296.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 43*s**2 - 2063*s - 41. Let l be n(48). Solve 24*w - 7 + l = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1386 and 252.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -107 + 110. Suppose -4*l = -0*l + c - 16, -3*l = t*c - 12. Does 4 divide 41\/6*l + 26\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19332\/(-270))\/(3\/(-450)) + (-1 - -1). What is the greatest common factor of 30 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3446 - -3410. What is the third biggest value in g, 2, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/4*d**2 - 3\/4*d**4 + 3\/4*d**3 + 1\/4*d**5 + 0*d = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**3*v - 3*c**3 - 2*c**2*v**2 - 11*c + 31*v**2 - 3*v - 43 with respect to v.\nAnswer: -4*c**3 - 4*c**2*v + 62*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26034 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, -1\/6, -2\/5, -104, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -72*z - 4613. Determine b(-64).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.07 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*n + 4*y + 30, -2*n + y = 15. Suppose 0 = 5*o - i + 4 + 13, 5*i = 10. Let u = o - n. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-23419 + (-5 - -1)). Suppose 0 = 7*a + 7*a - b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, t: 2, c: 2, i: 2, o: 6, h: 2}. What is prob of sequence iohx?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 20*n**2 + 36916*n - 7384 = 0.\nAnswer: -1846, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3204 (base 15) to base 3.\nAnswer: -112111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103782 and 3187590?\nAnswer: 22313130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -10*j + 23. Solve p - 13 = 3*p - j*a, 0 = 5*p - 5*a + 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*610671\nAnswer: 12213.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81849263?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74990*t**2 + 2043*t**2 + 23210*t**2 + 25163*t**2.\nAnswer: 125406*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 4:41 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 14 + -20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2026874098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 + 17*k**2 + 14*k - 2. Suppose -4*n = 28, -5*z - 816*n - 5 = -811*n. Let g(x) = -x**3 - 6*x**2 - 5*x + 1. Calculate z*i(u) + 17*g(u).\nAnswer: u**3 - u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501727?\nAnswer: 109, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + n = -0*n + 10262, -2*n - 6165 = -3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35, 65, 81, 77, 47, -15?\n\"Answer: -b**3 - b**2 + 40*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a = -1 + 26. Let h = -144 - -148. What is the nearest to a in 0.1, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 26*i**2. Let a(n) be the first derivative of 16*n**3 - 264. What is a(o(s))?\nAnswer: 32448*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2218 + 2175. Let x be 0 + -44 + 4\/2. Which is smaller: b or x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 1255618054?\nAnswer: 1255618058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y - 26*y = -2*j, 2*j + 5*y + 9 = 0. Let q = -0.8 - 6.2. Let l = q + 4. Sort j, -8, l in descending order.\nAnswer: j, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2. Let m(t) be the first derivative of 0*t**2 + 79 + 73\/3*t**3 + 0*t. Calculate i(m(h)).\nAnswer: 15987*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11757572 (base 8) to base 13.\nAnswer: -70652a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**4\/12 - u**3\/6 - 3*u**2 - 21*u. Suppose 195*v = 99*v. What is i(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-1)*-4)\/6. Which is the biggest value? (a) -4 (b) r (c) 0.4 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*g + 10. Suppose q + 2*y = -2*q + 19, 2*y - 25 = -g*q. Suppose 4*c**2 + 11*c**q + 8*c**2 + 4 - c**3 + 10*c**3 - 20*c - 16*c**4 = 0. What is c?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1098.385 and 2.\nAnswer: -1096.385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddddttdddddtd?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, k: 10, e: 6}. Give prob of picking 3 e.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 735\/4 - 184. What is the closest to 1 in p, 0.4, 2\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f. Let r(u) = 34917 + 4*u - 69829 + 34913. Give 4*r(o) + 5*z(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i - 27. Let k(m) = 11*m - 9*m - m - 3 + 3. Let q(z) = 4*z + 1. Let a be q(-1). What is a*k(j) + y(j)?\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*w + 2036 = 2*w, -2545 = -5*m - w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2248 divide 39207562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 19 = 106 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1048 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 345 = 5*w + 7*h, -3*w + 4*h = -186. Suppose l = w + 116. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.74 + 0.64. Which is the second biggest value? (a) w (b) 3\/4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1894 and -61\/1190?\nAnswer: 1126930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 6*b**2 + 4*b - 9. Suppose 2*n + 3 = 15. Determine z(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 39 = -3*o. Suppose 0*w + 3*w = 3*a, a - o = -3*w. What is v in -v**5 + 21*v**5 - 24*v**3 + 4*v - 2*v**w + 0*v**5 + 2*v**2 = 0?\nAnswer: -1, -2\/5, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*h + 4, -3*h - x + 646 - 654 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 5*f**2 + 9 + 4*f**2 - 5*f**2 wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -35*k. Let m(d) = d**2 + 10*d + 8. Let s be m(-9). Calculate the remainder when o(s) is divided by (36\/(-10))\/(3\/(-15)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-804)\/(-15) - (-4)\/10. Let u = 49 + -80. Let j = u + t. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33038026 to the nearest integer?\nAnswer: 5748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 6 = 23*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 169 - 184. Let p(y) = y**2 + 20*y + 78. Let i be p(b). Solve 10 = 3*n - 2*g + 1, i*g = 3*n - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 21164*t + 804253. What is o(-38)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 2. Let y(c) = -1065*c + 1. Give b(r) + y(r).\nAnswer: -1067*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*c*o**2 - 1010597*c - 14*o**4 - 83*o**3 wrt o?\nAnswer: 64*c*o - 56*o**3 - 249*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1602*x - 16. Let k(l) = -1603*l + 20. Calculate -4*k(o) - 5*w(o).\nAnswer: -1598*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335 divided by -568.\nAnswer: -335\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142466 is divided by 6473.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/4 - 339*x**3\/2 - 12825*x**2 - 658125*x\/2 - 1265625\/4.\nAnswer: -3*(x + 1)*(x + 75)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 46 = -i - 1107, 377 = y - 5*i. Calculate the greatest common factor of 64 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 647.7672 hours in nanoseconds?\nAnswer: 2331961920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = 3*d, -4*g - 2*d - 2 = -3*g. Suppose 2615012 = -2*h - 3*h + 4*q, -6 = -g*q. Round h to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.6 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-24)\/64) + (-1334)\/16. Let m = x + 93. Suppose -2*t = -3*b + 47, 2*b = -2*b + 4*t + 60. What is the remainder when b is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1537, -25 in descending order.\nAnswer: 1537, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -28*((-123)\/(-18))\/(3\/(-9)). Put a, -4, 3 in descending order.\nAnswer: a, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.12 (b) 12 (c) -2 (d) -5 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r - 67 = -2*j, 3*j = -3*r + 93. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -760, -1712, -2674, -3652, -4652, -5680?\nAnswer: -6742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y + 10. Let i be w(-4). Let x(o) = 2*o**i + o**2 - o**2. Let t(r) be the second derivative of 7*r**3\/6 - r. Calculate t(x(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 50224350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*r = -70*r + 60. Suppose -2*h - r = 3*h. Which is the nearest to -1? (a) -0.5 (b) 0 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/11, -2, 3, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -23*y**3 - 22*y**2 + 27*y - 47. Let b(i) = 8*i**3 + 7*i**2 - 9*i + 16. Let o(k) = -8*b(k) - 3*u(k). Is o(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**5 - 30*o**4 + 70*o**3 - 80*o**2 + 45*o - 10 = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c. Factor -28*n**4 - 4*n**2 - 10*n**5 + c*n**2 + 4*n**4 - 18*n**3.\nAnswer: -2*n**2*(n + 1)**2*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -17. Solve 18 = -4*f + x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125.61 - 125.51. Which is the nearest to z? (a) -4 (b) 0.1 (c) 8 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -2\/17, 0.09, -0.4, -1\/287?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + b8d0?\nAnswer: b8d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 3, -2, 4 in descending order.\nAnswer: 4, 3, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 37238532 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (3 + 91) - 12) + (5 + -16 - -3)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 284521167.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 6. What is b(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) -0.1 (c) 10\/11 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(110)*1)\/((2*sqrt(10) - sqrt(10))*2) + -2*3*(sqrt(704) + (2 + sqrt(704))**2).\nAnswer: -4248 - 238*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312 (base 5) to base 2.\nAnswer: 1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-21 + 25 + -21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 - 14*z - 6. Let o be x(-4). Suppose -o*h - 76 = -4*w, 0*h - 76 = 2*h + w. Let d = h + 98. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 979.\nAnswer: 6853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 157431740 rounded to the nearest 100000?\nAnswer: 157400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 take away 28428664?\nAnswer: -28428792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/287 and 29\/4?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -8. Suppose -5*u - 3*w - f = -47, 0 = -w. Calculate the remainder when 2*5 - 0\/2 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 72*r**2 - 13*r**2 - 18*r**2. Let w(d) = -4*d. Calculate w(s(c)).\nAnswer: -164*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 0 + 5)*5.\nAnswer: 25 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(15\/235) - (0 - 5). Let d(x) = x**2 + 22*x + 103. Is d(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 2 + 0*v + 7*v)*(-v**2 + v + 2*v**4 + v**2).\nAnswer: 4*v**5 + 4*v**4 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5 + sqrt(931) + 1 + (sqrt(931) + 2 + sqrt(931))*6)**2.\nAnswer: 3640*sqrt(19) + 157739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*i + 3*i, i = 3*t - 680. Let g = -136 + t. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 - 2*c**2 + c - c**2 + 2895 - 2890 - 5*c**2.\nAnswer: -3*c**2 + c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1153*d**3*t**2 + 50*d**3*t + 2*d**3 - 2*d**2*t**2 - 2*d**2*t - 5*d*t**2 - 3*d*t - t**2 + 5 wrt t.\nAnswer: 2306*d**3 - 4*d**2 - 10*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 4:58 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 64324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 501353 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 178a3a (base 13) in base 12?\nAnswer: 2458b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4726214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21d4c - 3?\nAnswer: -21d50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = 0, y - 4*r - 26 - 572 = 0. Suppose -5*m - 128 = -y. What is the highest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.318 and -162?\nAnswer: -51.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 5*k + 2. Let y be x(5). Suppose 5*z = 5*t - 20, 0 = -t - z + 5*z + 13. Let f be t\/(-1 + 11\/10). Solve 0 = -4*b + y*b + f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**4\/12 + k**3\/2 - k**2\/2 - 7*k. Let c be u(2). Calculate the remainder when 69 is divided by (-1*c)\/((-4)\/72).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 408388021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84244 or 84258?\nAnswer: 84258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 2. Let c(v) = 5*v - 1. Let q(n) = -20*n + 5. Let j(z) = 25*c(z) + 6*q(z). What is 4*j(s) - 11*w(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 - (-403936)\/(-160). Let m = -1766 - r. Suppose -y + 57 = 5*q - 108, 0 = 5*y + 3*q - m. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 64\/(-10) - 9\/15. Let q(x) be the third derivative of x**5\/60 + x**4\/4 - 2*x**2. What is the units digit of q(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 558 + -558. Suppose r = -d - 39922 - 18878. Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (124\/(-5642))\/((-5)\/(-140)*-4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1265761607 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -756. Let j(u) = 907. Let l(g) = 5*j(g) + 6*z(g). Let y(x) = -x - 14. Give -2*l(c) + 2*y(c).\nAnswer: -2*c - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*x + 20205 + 3315. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(24\/80)\/((-36)\/(-8))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -162?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmmygze. Give prob of sequence gy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 + 179. Calculate the lowest common multiple of 36 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 11*m + 2. Let s be j(10). Let f = 458\/5 - s. What is the second biggest value in -1, f, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 - 11 + 7 - 28)*((2 - 1 - 2)*(-3*k**2 - k**2 - 2*k**2) - 3*k**2 + 0*k + 0*k).\nAnswer: -285*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*q, 2*l + 3*q = -q. Let m(t) = t**2 + 6*t + 12. Let z be m(l). Solve 3*c - a = -0*c + z, 3*c + 4*a - 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 45*s - 84. Let j(b) = 9 - 6 - 7 + 0 - b + 2. Let m(o) = 6*j(o) - z(o). Differentiate m(n) wrt n.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, 0, -1, -2, -3, -4?\n\"Answer: -i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3110 + 82*x - 272*x - 3110.\nAnswer: -190*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h*h**(3\/2)\/h))\/h**(-1\/16))\/((h**(-6\/7)\/h)\/(((h\/(h\/h**(1\/6)))\/h)\/h)) assuming h is positive.\nAnswer: h**(-139\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 + -228. Let d = -28 - o. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*x - 12 = 0, 4*h + 4*x - 5 = 19. Suppose -70 = -5*y + 4*b - 0*b, -h*b + 42 = 3*y. Is 7\/y + 42\/4 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 1492821751.\nAnswer: 3769, 396079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 16*g**2 - 5*g + 19. Suppose -80 = 4*v - 14*v. What is the remainder when k(v) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1443 + 1569. Solve 0 = 28*o + 14 + p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/880 and -27\/71870480?\nAnswer: 71870480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*y - 171*y = -13 - 143 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 156 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:21 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 5, j: 2}. What is prob of picking 1 z, 2 p, and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -65, -131, -219, -323, -437, -555, -671?\n\"Answer: l**3 - 17*l**2 - 22*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 328\/(-12)*(-6)\/4. Let x = w - 11. Is (-1 + x\/(-9))*-6 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:52 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, -14, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 9*w + 1. Let p(s) be the third derivative of s**5\/60 + s**4\/3 - s**3\/6 - s**2. Let k(l) = 6*p(l) + 5*v(l). What is the units digit of k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/5)\/((-2)\/(-10)). Suppose -u + 2*u + s = -z, u = 2*z + 6. Let o(h) = 6*h**2 + h + 2. What is o(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((3 - (1 + 30)) + (156 - 163) + 2)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -243*c**2\/7 - 28939464*c\/7 - 861617877168\/7 = 0?\nAnswer: -535916\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232307170*a**2 - 200800866 wrt a.\nAnswer: -464614340*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-512)\/(-10) - (3\/15 - 0). Suppose j*u - 32820 = 46*u. Suppose 0 = -5*m + 17*m - u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*g**2 + 13*g**3 - 41*g**3 + 13*g**3 wrt g.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2565913*z**3 + 2*z - 14965586.\nAnswer: 7697739*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6004, -4, 3, -3 in descending order.\nAnswer: 3, -3, -4, -6004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 = -k - 22, 0 = -k - 5*l - 29. Let m = k + 21\/5. Let y = 34.7 + -35.1. What is the nearest to -0.8 in y, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -69965*r + 629513. Give t(9).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:37 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 369, 372, 377, 384?\n\"Answer: o**2 + 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 206, 291, 364, 425?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = -34*n + 58. Is 4 + 99382\/14 + n\/(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -5, -0.4, -10\/39?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4. Which is the closest to x? (a) -0.07 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007793 to 5 decimal places.\nAnswer: -0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrssrs. Give prob of sequence rsrs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 7*n + 22. Let t be q(-9). Let r be t + 4*81\/(-66). Is r > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472241859.\nAnswer: 3, 157413953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -219030 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3122111010 (base 4) to base 15.\nAnswer: 129e86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 1\/13, -4, -24?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 n, and 2 a when four letters picked without replacement from {n: 5, o: 5, a: 3, y: 3, l: 2}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -202 (c) 295508\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/5225 and -103\/6435.\nAnswer: 611325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 15, f: 3, p: 2}. What is prob of picking 1 j, 1 p, and 2 f?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 5 + 19. Sort y, 1\/2, 2\/3, 2\/13 in increasing order.\nAnswer: 2\/13, 1\/2, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -78 + (-9 - -8 - -3). Let f be (-114)\/y*(-4)\/(-18)*12. Solve 28 - 8 = -f*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 2*k. Suppose 5*y - 15 = 4*h, -4*y + 17 = -4*h + 5. Suppose 0 = 19*j - 20*j - y. Let b(q) = 4 - 4 + 3*q - 2*q**2. What is j*n(w) + 2*b(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214864?\nAnswer: 2, 13, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -8. Suppose 4*l - h - 5 = o, 4*o = -5*l - 6. Let 27*v**2 + 12*v - 9*v**2 + l*v**3 + 6*v**3 + 2 = 0. What is v?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577047704 a multiple of 884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 43*c + 2. Let d(p) = -21114*p. What is s(d(f))?\nAnswer: -907902*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 23 - -13) + -1 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66.3 - -66.5. Which is the nearest to -1\/2? (a) 12 (b) k (c) -2\/3 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2844 + 2840. Let k be (-7 - (-4 - 1))\/((-2)\/11). What is the closest to -5 in -1, k, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 4 - 2)*(-2 + 4 - 3) + 0 + 0 - 1 - 2 + 5 - 1 + 3 - 1 - 3)*(51*d - 105*d + 6 + 55*d) to the form w*d + q and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.21254 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 + 2*s**2 - 2*s - 1. Suppose 4*l - 4*w + 16 = 0, 4*l + 20*w = 21*w - 10. Let b(a) = 15*a**3 + 11*a**2 - 11*a - 5. Determine l*b(g) + 11*i(g).\nAnswer: 3*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -4. Let w(z) = z + 19. List the prime factors of w(p).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 467*m - 442*m - 50. Let t(q) = -q**2. Let i(l) = -4*l**2 - 4*l + 1. What is m*i(y) - 6*t(y)?\nAnswer: -2*y**2 - 8*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(352))\/sqrt(11).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 778*n**2 - 1506*n**2 + 731*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -31321033031?\nAnswer: 31321033103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 8*c**2 + 8*c - 3. Let o be l(-9). Sort -2, -1, o in increasing order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*s**3 + 41 + 53 - 106 - 89*s**3.\nAnswer: -2*s**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, 2, -3, -2 in increasing order.\nAnswer: -3, -2, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + z = -2129, -2586 = -4*g + z + 1667. Let x = g - 669. Suppose -3*v = 2*j - 830, -j = -2*j + 4*v + x. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70864 is divided by 219?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1606, 132, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21446*v**3 - 8*v - 489.\nAnswer: -128676*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 3, 5 in descending order.\nAnswer: 5, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 43.8. Let l = -108 - -98. Let q = y + l. Which is the second smallest value? (a) -2\/9 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 19*j - 243. Let g be s(13). Let b(n) = n**3 - 17*n**2 + 2 + 10 + 2. Let r be b(17). Solve 2*t = 5*u - r, -u = g*t - 3 + 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2\/7 - 72*y\/7 - 75\/7 = 0. What is y?\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.2 and 9.0234.\nAnswer: 28.87488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5515*j**2 - 4 + 31*j**4 + 5515*j**2 wrt j.\nAnswer: 124*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1778545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 5*l - 2. Let i be h(-4). Let o(n) = 3 - 2*n - 6 - 4*n + 5*n. Calculate o(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251400 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 + -287. Let a = v + 372. Let d = -92 + a. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-38)*10\/(-52)*(-182)\/(-455)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1604110 (base 7) to base 10\nAnswer: -219919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 4.55.\nAnswer: 5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2062644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 2*v**2 + 19*v - 17. Let i be f(5). What is the greatest common divisor of 51 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 7 + 2 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 11132.\nAnswer: 77924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 680*x - 497*x - 1609*x - 623*x to s + g*x and give g.\nAnswer: -2049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - -35. Let f(i) be the second derivative of -i**5\/20 + i**4\/12 + i**3\/6 + 6*i**2 - 3*i. Let c be f(0). What is the highest common factor of c and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5346.007 + 5350. Let r = f - -0.007. Which is the fourth biggest value? (a) r (b) -6 (c) 3 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33433 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470436.\nAnswer: 2, 3, 197, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 175.7602 nanoseconds?\nAnswer: 0.0000001757602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) -81 (c) -9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2108.93 - 2109. Let y = -3 - 0. Sort -0.4, y, i, 0.\nAnswer: y, -0.4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1029, -8228, -27765, -65808, -128525, -222084, -352653, -526400?\nAnswer: -749493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-37)\/7 - 2\/(-7). Let h(x) be the first derivative of 4\/3*x**3 - 7*x - 3*x**2 - 56 + 1\/4*x**4. Determine h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-267)\/(-99) + (2 - (-52)\/(-22)) - 115\/57?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.448*-0.147\nAnswer: 0.359856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 14*w - 6. Let k(d) = d**2 - 9*d - 4. Suppose 0 = -2*i + 7 + 3. Let j(v) = i*s(v) - 8*k(v). What is the units digit of j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5512492 divided by -3?\nAnswer: -5512492\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v**2 - 5*v - 9. Is u(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8078801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 9*b - 8. Let g(q) = q + 1. Give -18*g(y) - 2*h(y).\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1366, 1367, 1368, 1369, 1370?\n\"Answer: c + 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/25)\/((-38)\/190)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*j - 150, -4*j + 250 = j + 5*q. Let o = j - 22. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8509214.\nAnswer: 2, 7, 17, 35753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10976 and 84224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -20?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8072 rounded to one decimal place?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.17 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 + 92*d**3 + 4*d**2 - 92*d.\nAnswer: -4*d*(d - 23)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/33)*q*q)\/q*q**(-35))**(-1\/43) assuming q is positive.\nAnswer: q**(1124\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2 - 77*v + 759. Give y(6).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20116188, -40232376, -60348564, -80464752, -100580940?\nAnswer: -120697128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -3. Let u = -284 + 182. Let k = u + 106. Which is the fourth smallest value? (a) m (b) 0 (c) k (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**8\/504 + n**7\/105 + n**6\/90 + 13*n**2\/2 + 11*n. Let p(k) be the first derivative of f(k). Determine a so that p(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 9 = -13. Suppose 120 = u*w - 0*w. Let a = w + -27. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-28)\/147)\/(-26*(-1)\/45)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -519 - -533. What is the highest common factor of b and 980?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*q**3 - 227200*q**2 + 5647398*q - 3.\nAnswer: -96*q - 454400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 94*z - 1. Let x be (2\/4)\/((-6)\/(-12)). Suppose -4*a + x = -3. Is y(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*k - 5 = 17, u - 5*k = 4. What is the first derivative of -77*h**2 + 6 - 6 + 12*h**2 - 69*h**2 + u wrt h?\nAnswer: -268*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d + 18 = -2*g + 28*d, 4*g - 24 = 4*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87680 - -0.2?\nAnswer: -87679.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**2 + 3*t + 375. Let w be a(0). Calculate the highest common divisor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107, -200, -355, -578, -875, -1252, -1715, -2270?\n\"Answer: -n**3 - 25*n**2 - 11*n - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31786208 rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 27785 = i + 27762, -2*i + 121 = -23*p for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -481\/10. What is the nearest to -1\/2 in -0.4, 0, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 8:10 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -223.8066273296 - 3.\nAnswer: -226.8066273296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20530 + -20449. What is the third smallest value in n, -1, 0.5, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (52\/(-182))\/((-5)\/(105\/(-9))). Which is the closest to -3\/8? (a) -3 (b) -1 (c) p (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1044*d**5 + 632*d**5 - 691*d**5 + (0 - 3 + 1)*(d**5 - 3*d**5 + 0*d**5).\nAnswer: -1099*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 11) to base 16\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -234, -475, -722, -975, -1234?\n\"Answer: -3*a**2 - 232*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 + -124. Solve -5*u + 10 = -d*w - 13, -2*w = 4*u - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (34\/(-204))\/((-1)\/(-2)) + 143\/(-39). Which is the biggest value? (a) r (b) 2 (c) 8\/61 (d) 0.2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**5\/60 - 43*j**3\/6 + 31*j**2\/2 - 12*j + 4. Let q(a) be the first derivative of n(a). Give q(0).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Find the second derivative of 3*j + l*j**3 - j + 0*j**3 - 2*j**3 wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (0 - 4)*3\/6. Let u be (0*(-3 - (-25)\/10))\/m. Factor u - 2\/5*f**3 - 1\/5*f**4 + 1\/5*f**2 + 2\/5*f.\nAnswer: -f*(f - 1)*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16095507 or 16095517?\nAnswer: 16095507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 5, v: 1, p: 6}. Give prob of sequence saaa.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (924\/(-49))\/3 + (8 - 2). Suppose 3*k = 2*k. Are s and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/42, 3, -96\/19 in descending order.\nAnswer: 3, -1\/42, -96\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10) + 51\/85\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 5*x + 9250941 - 9250861, 93 = -3*r + 12*x for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 - -127.576. What is u rounded to two decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.6, 4\/9, 61189?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b + 143. Determine d(-15).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3 - 5 + 4*p - 3 + p - p**2. Let b be m(3). Calculate the highest common factor of b and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**3 + 750283*b**2 - 750283*b**2.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in 7, 5, 1\/92?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.118 - 11.169. What is k rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70014531, -70014533, -70014535, -70014537, -70014539, -70014541?\n\"Answer: -2*i - 70014529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 2*q**2 + q + 1. Let j be g(2). Let x(z) be the first derivative of -z**2 + 2\/3*z**3 - 6 + j*z. Determine x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h + 7 - h**3 + 1\/2*h**4 + h**2. Suppose -4*v + 0*d - 12 = -4*d, 4*v - d - 3 = 0. Determine b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*w - 6 = 0, 7 + 1 = -4*w. Suppose 0 = 3*z - r*z - 338. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 take away -9929?\nAnswer: 9785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 33*d**2 - 3*d + 33.\nAnswer: 3*(d - 11)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from bbbbbbwwbwbbwwbbbb?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*p + 12. Suppose 0 = r + p*r - 144. Let i be (-12)\/4 + r\/2. Solve 3*b - 2*h + i = 0, -2*b + 3*h = 2*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yynn. What is prob of sequence nn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1990)\/1475 - -3 - (-17344)\/(-10840).\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 13*w = 153, -3*d = -15*w + 19*w + 39 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496\/16*(-1 - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(300))**2 + 1 + -2).\nAnswer: 60*sqrt(3) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 94*(2 - -39) + 5 + -9. Suppose 3*a - 5757 = -3*v, 2*v - s = -12*a + 16*a. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1224 (base 6) to base 12.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 35*p + 15. Let x be u(-15). Let q = x - -303\/5. Let r = 2\/17 + 81\/34. What is the second biggest value in r, 1\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -788 - -438. Let n = b - -349.9697. What is n rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13182 and 621894.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 11:16 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 4*m**2 + 4*m - 2. Let f be ((-16)\/(-10))\/(24\/60). Calculate the remainder when 54 is divided by u(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 0.5, -1, 45, 1\/14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19871208 and 4967802.\nAnswer: 19871208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(19) + (sqrt(19) - ((sqrt(19) + 1 - sqrt(19)) + -2)) + 4)*-3 + 1 + 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -812414544*n**2 + 441919*n - 742.\nAnswer: -1624829088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjy when three letters picked without replacement from {j: 1, l: 1, i: 2, w: 1, f: 1, y: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -101*4 - (-5 - -11). Let u = -368 - z. What is the least common multiple of u and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**3 + 2*w**2 + w. What is the lowest common multiple of q(-1) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30402 and 106407.\nAnswer: 212814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 11) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.291207 millilitres in litres?\nAnswer: 0.008291207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 339, -5, 149, -32.\nAnswer: -32, -5, 149, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 15. Let a be -1 + 5 + 5\/5. Let z(h) = -6*h**2 + 2*h - 5. Let o(f) = -7*f**2 + 3*f - 6. Give a*z(s) + b*o(s).\nAnswer: -2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25107420 - 407418. Suppose q = -h + s, -5*q = -0*q - 10. What is h rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 - 79. Factor 14\/3*d**h - 8\/3*d**3 + 0 + 0*d**2 + 8*d**4 + 0*d.\nAnswer: 2*d**3*(d + 2)*(7*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t + 2. Let l(z) = 13*z - 32. Determine -g(p) - l(p).\nAnswer: -19*p + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ce1 - 3?\nAnswer: 5cde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -38*j - 4. What is the tens digit of o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5533945 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(76) - (2 + (-2*sqrt(76) - sqrt(76)))) + -5) + -1)**2.\nAnswer: -1856*sqrt(19) + 20297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 22, 1, 0, 3, -5 in decreasing order.\nAnswer: 22, 4, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276735 and 2185.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9464 + -10197. Is q > -736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1 - 1 - y**2 + 0 - 4 + 7*y. Let b be f(4). What is the first derivative of 2 + 1 + b*n + 0*n - 3*n wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.3 - -59046.\nAnswer: 59029.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 9*w**2 + 5 + 4 - w. Let s(a) = 5*a**2 - 2*a - 5. Suppose 0 = -443*l + 444*l + 3, -3*b = 4*l + 24. Calculate b*g(m) - 7*s(m).\nAnswer: m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 0 - (-30)\/(-30). Let p be (-1*3250)\/(a\/(-176)). What is p rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.156 + 2.156. What is the second smallest value in 6, z, -0.2, 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(162))\/sqrt(9))**2 + 1.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 6. Let r be c(2). Suppose -r = -2*v, -4*v - 4 = -4*x - 2*v. Suppose 5*h - 2*d - 235 = 0, -3*d = x*h - 7*h + 235. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -5\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 797128*q**3 - 159 + 83.\nAnswer: 797128*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*h - 1798 + 1798 + (4 - 4 + 1)*(3*h + 0*h - 5*h))*(-h - 4*h + 4*h + (1 + 1 - 3)*(2*h - 2*h + 2*h)).\nAnswer: 237*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 115755068 divided by -4452118?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1859091, 3718183, 5577275, 7436367, 9295459, 11154551?\n\"Answer: 1859092*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -175 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.5 + -17.6. Let s = -7 - f. Let d = -0.4 - 0. Which is the nearest to s? (a) d (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-12)\/(-42)*(-91)\/(-780))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6746370199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*v**5 + 0*v**5 + 23*v**5 + (v**5 - v**4 + v**4)*(1 - 3 + 0) + 0*v**5 + 0*v**5 - 3*v**5.\nAnswer: 40*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.7476 (b) -4 (c) 0 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -487, -4059, -13561, -31897, -61971, -106687, -168949, -251661?\nAnswer: -357727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69.891 and 34056.4.\nAnswer: 33986.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.930989 days in weeks?\nAnswer: 0.704427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616 = 22*a + 836 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, -38, 2, 0, 4.\nAnswer: -38, -5, 0, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*k, 5*s + 3*k - 1060 - 150 = 0. Is 239 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(100\/312 + 2\/(-13)). Let f be 466\/(-8)*(-5)\/(45\/g). Let v = -271 - f. What is the second smallest value in -3, v, 15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 55, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*h + 149*h - 4992*h**2.\nAnswer: -4992*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -34, 1\/9, -6, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.99952 + -9. What is o rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*m - 242*m + 592*m + 19684 = 0 for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**4 - 165*l**3 + 3078*l**2 - 20412*l + 17496 = 0?\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1199*l - 16 + 2120*l + 4 + 10.\nAnswer: 3319*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r**3 + 7*r**2 - 5*r - 5. Let s(w) = -w**2 + w + 1. What is q(z) + 5*s(z)?\nAnswer: -9*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 46322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153013603\/374 + -409127. Find the common denominator of m and 83\/170.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 0.34. Let u = g - 10.74. Let p = 10.58 + u. What is p rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o + 1. Let t be i(-1). Let g = t - -8. Suppose 2*p - 36 = -3*p + w, 18 = -p - 4*w. What is the highest common factor of g and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 573 + -571. Suppose -s + 2*i + 4058004 = -11321992, -f*s + 30760006 = 3*i. What is s rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3905914 - -1.6?\nAnswer: -3905912.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -883\/20? (a) -2\/17 (b) -5\/3 (c) -1 (d) -8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150958?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i - 3. Let u be m(-1). Suppose -2*y + 3 = u*p, 0 = p + 2*y + 2 + 1. Suppose -1\/2*x + 2*x**5 - 5\/2*x**2 - 3\/2*x**p + 5\/2*x**4 + 0 = 0. Calculate x.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -4*w - 59*q + 62*q, 4*q = -3*w + 180. Calculate the lowest common multiple of w and 7.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -270\/11 (b) -1\/10 (c) 0.4 (d) -2\/3 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 + 8070*m**2 - 238792125*m\/4 - 178689396875\/2.\nAnswer: -(m - 16775)**2*(m + 1270)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1 - 161 = 0. Let o = -176396 - -176420. What is the lowest common multiple of o and h?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 1:37 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*c**2 - 320*c**2 + 352*c**2.\nAnswer: 550*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f**2. Suppose 9*w = 3*w - 72. Let c(g) = -2*g**3 - 12*g**2 + 12. Let o(t) = w*x(t) + c(t). What is the first derivative of o(y) wrt y?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -3*p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 15, 79, 181, 321?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 806?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 14 - 90 = 0. Let o(b) = b**2 + 8*b + 9. Let l be o(-6). Put l, 0, v in increasing order.\nAnswer: v, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13)\/m)\/((m**(-3\/2)*m)\/m)*m**(2\/21)\/(m*m**(-2\/7)*m) assuming m is positive.\nAnswer: m**(-695\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5.5+2402663039\nAnswer: 2402663044.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/132 and -145\/176676.\nAnswer: 1943436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 - -1.94. Let m = -18 - -18.1. Suppose -5*z = j + 3, 4*j - 4*z - 7 + 19 = 0. Which is the closest to j? (a) o (b) -2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 1, b: 3, h: 3, c: 4, g: 2}. Give prob of sequence cub.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 79. Sort s, 5, 1, -2 in decreasing order.\nAnswer: 5, s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35810 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/12)\/((-330)\/20).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10893485 is divided by 692?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3103)\/290)\/(-107) + 2\/(1 + -5). Let z = 5.4 - 5. Let k = -6.7 + 7. Which is the second smallest value? (a) o (b) k (c) z (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose -2*d + f - 14 = 0, d + 40 = 4*f + 19. Sort 1, r, d in descending order.\nAnswer: r, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1410 and 12465.\nAnswer: 1171710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309801301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -432*t**2*y**5 + 2987*t**2*y wrt y?\nAnswer: -8640*t**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 13927880?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o + 1. Let n(l) = -14*l + 2. Let x = -11187 - -11179. Determine x*b(w) + 3*n(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14588, -15156, -15726, -16298, -16872, -17448, -18026?\n\"Answer: -t**2 - 565*t - 14022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5072609571.\nAnswer: 3, 14071, 120167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/240 and 25\/24918038.\nAnswer: 2990164560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 272*k**2 - k**3 + 0 + 5 + 288*k**2 - 564*k**2 + 2*k**4 to t*k**4 + b*k**2 + h*k**3 + c*k + i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 + -51858?\nAnswer: -52046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 10:34 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -15)\/((-5)\/(-5)). Let k = 157 - t. Suppose 4*g + 0*g - k = -2*p, 4*g = 2*p - 202. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 125, 270, 459, 686, 945?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 - (-4 - (24 + (-14 - -6) - 12))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 443*l**5 + 128*l.\nAnswer: 8860*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 21896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 2*q**2 - 2*q - 1. Suppose 0 = 3*z - 0*z + 3. Let j = z - 0. Let t be m(j). Which is bigger: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/4068 and 187\/1264470?\nAnswer: 7586820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - g + g**2 + (6*g**2 - g**2 - g**2)*(-2 + 0 + 4))*(-2 - 4*g + 2) to the form p*g**3 + u + a*g + n*g**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1400 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**3 - 5 - h**3 + h**2 + 6 - 7*h**3 in the form j + a*h + p*h**2 + w*h**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -604\/247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*s)*((1 - 2*s**2 - 1)*(-3*s + 2*s - 2*s) + s**3 - s**3 + 2*s**3 + 179 - 27*s**3 - 179).\nAnswer: 38*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-six fifths of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*l + 39 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - 21. Let u = -33 - x. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.6. Let p = -0.4 + z. Let m = 6\/119 + 4\/17. What is the closest to m in 0.4, 4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35498898?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 4, y: 5, g: 2, h: 4, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 7*c - 3. Let z(f) = -16*f**2 + 51*f - 3. Let t(p) = 5*p**2 - 16*p + 1. Let x(v) = 13*t(v) + 4*z(v). What is 3*m(q) + 5*x(q)?\nAnswer: 2*q**2 + q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 a when four letters picked without replacement from {z: 4, x: 2, y: 10, a: 3}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -v - 1, -3*l + v + 3*v + 13 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 + 118. Which is greater: 11 or d?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.06, -234.7, 4, 1, 3 in descending order.\nAnswer: 4, 3, 1, 0.06, 0, -234.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -434 times -0.0331?\nAnswer: 14.3654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -1\/10 (b) -1\/2 (c) 0.04 (d) 97\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 306, 297, 274, 231, 162?\n\"Answer: -n**3 - n**2 + n + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 540, -5, 2, 4 in increasing order.\nAnswer: -5, -2, 2, 4, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35088)\/(-1462) + 1 + 1*-4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1141 by 49.\nAnswer: -163\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:23 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 322*v - 744 - 834 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -5 - (-4 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6130 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: Calculate the greatest common divisor of 1520 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 3\/4, 3\/8, 4\/3 in descending order.\nAnswer: 4\/3, 3\/4, 3\/8, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 130.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 2 - 3)*(-31*h - 22*h + h).\nAnswer: -936*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(5\/6)))**(-1) assuming l is positive.\nAnswer: l**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 612, 614, 616, 618?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 36. Suppose 3*y - 191 = 25. Suppose d*u = u + y. Calculate the least common multiple of 12 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k + 270 = 25*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 33*m + 367. What is o(-22)?\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94744203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/16 and 77\/5994.\nAnswer: 47952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 4200.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 4455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -110, -113, -116, -119?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from rruuuxruuuyurrurrx?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 55*i**3\/3 + 13*i**2 - 22. What is the second derivative of f(n) wrt n?\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2057) + sqrt(2057) + 2 + sqrt(2057) + -5 + (sqrt(2057) - 1*sqrt(2057))*-6 + -2*sqrt(2057)*2)*4)**2 + 5.\nAnswer: 1056*sqrt(17) + 33061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62 and -2.33.\nAnswer: 144.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 102.7, 19, 0.5 in ascending order.\nAnswer: 0.5, 3, 19, 102.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -2.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 0 + 3*r - 1 + 5*r**2 + 0*r**3 + 3*r. Let n be o(6). Let u = 51 + n. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 * -17\nAnswer: -22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5783 is divided by 93.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y. Let k(f) = 5*f**2 + 9*f + 25. Let r(o) = 3*o**2 + 5*o + 14. Let m(p) = -5*k(p) + 9*r(p). Give m(q(a)).\nAnswer: 162*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wggtwtgwgwt. Give prob of picking 2 w and 2 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 871 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 53268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 q when three letters picked without replacement from {s: 1, e: 3, h: 2, q: 4, r: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6247 - -6243. Sort 4, i, 25\/28, 1 in decreasing order.\nAnswer: 4, 1, 25\/28, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/3*(-15)\/70. Suppose -243 = 19*o - 281. Suppose -j - 4*j = 0. What is the closest to -12 in j, o, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1941282 and 77\/6.\nAnswer: 1941282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/15)\/(1\/3). Which is smaller: 2\/17 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-15))\/((-4)\/6). Suppose p*f + 2*d - 216 = 0, -3*d = -f - 7*d + 105. Let z = 12 + f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 + 660 = 20*d. Calculate the greatest common divisor of 549 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 5, 136*l + 4*f = 128*l - 52 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-136)\/(-306))*(-32)\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 8 = 8. Let x = u - -2. What is the units digit of (-3)\/(-6) + (-11)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.069 - -0.068728. Round m to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k**3 - 6*k**2 - 9. Let g(w) = -9*w**3 + 5*w**2 + 8. What is -6*g(i) - 5*o(i)?\nAnswer: 4*i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -0.7. Is 2\/9 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*f + 104*f + 5*r - 17, -2*f + 3*r - 7 = 0. Which is smaller: f or -4\/147?\nAnswer: -4\/147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*h - h = -117, 22*x - 26*x + 5*h + 95 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 15 = -m, -10 = -0*m - 5*m + 3*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8128680.95101 and -0.2.\nAnswer: 8128680.75101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15555369 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244 + 12. Suppose -6*v + z = -2*v. Calculate the highest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 376.00115.\nAnswer: -4136.01265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524669.\nAnswer: 524669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 80?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*f**3 + 2*f**3 - 1 - 3*f + 20*f**3 + 4*f - f**4 - f**2 to the form n*f**3 + y*f**4 + h*f**2 + d*f + i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 38 = -3*m + 7*m, -m = -4*s + 8. Solve 3*z - 6 = -3*o + 6, -3*z = o - m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23532 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {g: 1, r: 1, l: 2, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-19)\/u))\/((u**(-19)*u)\/u) assuming u is positive.\nAnswer: u**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2680*x**2 + 3282*x + 10. Let c(j) = 2344989*j**2 - 2871750*j - 8752. Let n(h) = 4376*b(h) + 5*c(h). Find the second derivative of n(l) wrt l.\nAnswer: -5470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -5.315, 4, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:34 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 24*c + 2*c + 8.\nAnswer: 26*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -797, -1554, -2267, -2936, -3561, -4142, -4679?\n\"Answer: 22*k**2 - 823*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382553103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k + 66*k**3 - 7*k - 11*k + 18*k**3 + 14*k.\nAnswer: 84*k**3 - 25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 786794401 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*t = 117, -4*t + 3*t - 83 = -3*l. What is the highest common factor of 308 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155319*s**2*x**4 - 16*s**2*x**3 + 12663*s**2*x**2 - 3*s**2 + s*x**2 + 12*x**2 wrt x?\nAnswer: 3727656*s**2*x - 96*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*h*k + 2*b**3*h*u - 5*b**3*h + 3*b**2 + 110*b*h*u + 4*h*k*u + 30*k with respect to u.\nAnswer: 2*b**3*h + 110*b*h + 4*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.407 - 12.707. Let j be (-2)\/6 - (-11)\/55. Which is the biggest value? (a) j (b) -5\/3 (c) 74 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/(x\/x**(1\/9)))\/(x**(-6)\/x*x*x**(-2\/17)*x)*x**(-1\/4)*x*(x\/x**(1\/4))\/x*x\/x**(-1\/4)*x**(1\/2) assuming x is positive.\nAnswer: x**(6413\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705, 1493, 2201, 2793, 3233?\nAnswer: 3485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 6*o**2 - 6*o + 4. Let t be d(5). Let v(n) = -3*n**3 - 2*n**2 - 3*n - 4. Let l be v(t). Sort -10, l, -3, -25 in descending order.\nAnswer: l, -3, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -221, -666, -1509, -2882, -4917, -7746?\n\"Answer: -22*z**3 - z**2 - 22*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-330)\/(-200) - 280\/200. Let o = 0.38 + 0.02. What is the nearest to -9 in -3, o, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*g + 5*g**4 + 9*g + (4*g + 2*g**2 - 4*g)*(g**2 + 2*g - 2*g) + 4*g**4 - g**4 - 2*g**4 + g**2 - g**2 - g**4.\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - 8*c + 5. Let j(h) = -h**2 - 3*h + 2. Calculate 8*j(p) - 3*t(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, 149 in decreasing order.\nAnswer: 149, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33192 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23033200 (base 4) in base 13?\nAnswer: 17c62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2428462 divided by -137\nAnswer: 17726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76590973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from ijufssu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 277.518 and -0.05?\nAnswer: -13.8759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, t: 4}. Give prob of sequence tnn.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2046916 or 2046919?\nAnswer: 2046916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35142 (base 6) to base 10.\nAnswer: -5030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/22 + (-20)\/110. Let b be ((-24)\/4 - -4) + 6 - j. Suppose 5*a = -3*r + 18, -9 = -7*a + 4*a. Solve 3*i = -2*k + r, -i + 19 = 5*k - b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7430 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.009 + 0.191. Which is the nearest to d? (a) 1\/6 (b) -5\/6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 w when three letters picked without replacement from {c: 11, w: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24079*s - 2238*s**2 - 24079*s + 2846*s**6 + s**5 - s**5 wrt s?\nAnswer: 341520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7185*p + 7185*p - 5*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 4 + 20. Let k = -0.16 + -0.04. Let j = 228 + -233. What is the second biggest value in b, k, j, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 7*q**2 - 9*q + 10. Let y be t(8). Solve -4*l - 3*z - 3 = -l, 5*l = -y*z - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -241?\nAnswer: 23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -5 (b) 2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 29*w + 2. Let k be m(7). Suppose 0 = 22*j - 19*j - k. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, z: 2, s: 1, f: 1}. Give prob of picking 1 f, 1 s, and 2 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 4*s**2 + 6*s. Suppose 15 = -0*h + 3*h - 3*j, -j = 0. Let b be r(h). Suppose -b*q = 20, 3*f - 40 = 4*q - 0*q. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + ((sqrt(128) + sqrt(128)*4)**2 - sqrt(128)) + -1.\nAnswer: 3199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*f + 3*a = 1186, 0 = -5*a + 81 - 71 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Suppose x*a + 2 + 1 = 0. Put -2, -3, a in ascending order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by 1.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 3*v - v)*(2*v - v + v)*(23 - 8 - 9)*(-v + 0*v + 2*v) to h*v**2 + t + a*v**3 + y*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22807 + 48613. List the prime factors of t.\nAnswer: 2, 3, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14740*g**3*n + 15*g**3 - 2*g**2*l*n + 43*g*n + 18*g - l*n + 2*l - 26*n + 2 wrt g?\nAnswer: -88440*g*n + 90*g - 4*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 4:31 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + -40. Let x = 36 - k. Let a = 0.1 + -5.1. Sort -0.02, a, x in ascending order.\nAnswer: a, x, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -29 - (-30 + 26 + (8 - 0))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4815 + 4675 = -15*d - 5*r, 0 = 3*r - 48 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c0 (base 13) to base 3.\nAnswer: -220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 9:54 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 704*f**2 - 710*f**2 + 1404*f**2 - 7*f)*(-1 + 0 + 2)*(f + f + 0*f) to p*f + g*f**2 + w*f**3 + x and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -3 (c) 2\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1130.14 - -1148. Let a = -18 + t. Which is smaller: 6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 12. Let z = -11 - -21. Let l be ((-4)\/z)\/(22\/10). Which is greater: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = q + 18, 2*m + 2*q = -2*m + 6. Solve -2*w**3 - w**2 - w**5 - 3*w**4 + w**m - 2*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttf when three letters picked without replacement from {t: 3, f: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069838506 to the power of 1\/4, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 3\/8 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 4595?\nAnswer: -4593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-16) + 8\/(-64). Solve b - 1 - 1 = h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 2*k - 31*k**2 - 2*k - 2*k**2 - 2 as w*k**2 + b*k + l*k**3 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from {w: 4, x: 4, v: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.03 + -0.97. Suppose 3*d - 3 = -0*d. Let n(x) = x**2 + 2*x - 1. Let v be n(d). What is the smallest value in v, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110355 (base 6) in base 13?\nAnswer: -426b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 6:35 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 14*m**2 - 16*m + 387. Determine w(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -22 (b) -2 (c) 4\/9 (d) 2 (e) 0.13 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 132 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (21\/1575)\/(10\/((-300)\/9))*(-190)\/(-2)\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -83*f**6\/30 + 13*f**5\/12 + 51*f**2. Find the third derivative of v(s) wrt s.\nAnswer: -1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4 = -7*p, 7*p - 40 = -8666*a + 8656*a + 10*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 - 3*w. Let s(h) = -h. Let y(x) = -n(x) + 3*s(x). Let u(d) = -128 + 28 - 9*d + 100. Determine y(u(c)).\nAnswer: -405*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/90998 and 28\/263.\nAnswer: 90998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -321230103121 (base 4) in base 16?\nAnswer: -e6c4d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/9258396 and 3\/1178.\nAnswer: 287010276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 804454957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9252695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s = 17*s + 41*s - 608. Solve s*v - 3 = -115 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 27\/5, -4 in ascending order.\nAnswer: -4, -3, 5, 27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 17820800 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 151*o - 18206. Calculate f(121).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44956627.\nAnswer: 1549, 29023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4026 (base 7) to base 12.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-3)*330\/(-4). Let t be 11 - (4 - 3\/1). What is the greatest common factor of t and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.569*0.1\nAnswer: -0.0569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -481448 and 25?\nAnswer: -12036200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 757 divide 2655480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15706 is divided by 3141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b4 - 0?\nAnswer: 8b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13d61 (base 15) to base 4\nAnswer: 33210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 + 180 - s**2 - 91 - 8*s - 91 + 3*s to the form x*s**2 + d*s + v and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 138\/(-15) - (-2)\/10. Let t = -403\/4 - -409\/4. Which is the second smallest value? (a) w (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 19 - 19*v**2 + (0*v - v - v + (4 + 1 - 3)*(-1 + 1 + v) + 0 - v + 0 - 59*v - 30*v - 96*v)*(2*v - v - 3*v).\nAnswer: 353*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000094694138 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 10. Determine k(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 41147954*p**2 + 41148075*p**2 + 19*p.\nAnswer: 121*p**2 + 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 13) to base 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38)\/(-14) + (-6)\/(-21) + 5602 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 22*u**3 + u - 1. Calculate x(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -25*c. Let x(a) = 17*a - 1. Give i(x(q)).\nAnswer: -425*q + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q - 145 = 0. Suppose 5*n - q = n + 3*t, 5*n = 5*t + 30. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 2, d: 2, f: 4, j: 1}. What is prob of sequence df?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y - 10*y + 2*y**2 + 20*y + 3*y**3 to w + r*y + l*y**3 + v*y**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 12 = j + 3*s, -3*j + s - 36 = 0. Let f be 64\/6*(-27)\/j. Suppose 0*o + 3*o = f. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 248 and 713?\nAnswer: 5704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 4:53 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 892*m = -160*m + 1816 - 6024 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4)*o)\/((o**(-1)*o)\/o))\/((o*o**8)\/(o\/o**0))*((o*o\/o**9*o*o)\/o**9)**(2\/59) assuming o is positive.\nAnswer: o**(-618\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -52, 1, -4 in increasing order.\nAnswer: -52, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-661)\/14542)\/((-5)\/(-150)).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*c - 19*c + 4 + 1 - 1 - 3 as m*c + r and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-8)\/24 + (-2)\/12). Suppose -i - 5*z = -17, 7*i - a*i - 1 = 3*z. Solve i*l + 2*c = -l - 8, -l + 1 = -3*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 3:46 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -2\/807 (c) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.67 (c) -2 (d) 49 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.7 + -6.7. Let k = 2.13 + -2. Which is the nearest to 1? (a) k (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2057 and -23\/374.\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65403\/434 + 13748\/31. Let w = -597\/2 + j. Calculate the common denominator of w and -2 + (13\/(-10) - 0).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -365, -449, -597, -815, -1109, -1485?\n\"Answer: -l**3 - 26*l**2 + l - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 139\/46683?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + (6 - (-15 - -1)) + 5 + -17.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-764 + 764 - 74*o)*((3 + 1 - 1)*(0 + 2 + 2) + 5 + 0 - 4 + (-2 + 0 + 3)*(6 + 0 - 4)).\nAnswer: -1110*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, d: 1, g: 1, o: 2}. Give prob of picking 3 c and 1 g.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 10928*u - 1482080. Determine p(134).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - 420. Suppose 7*m + q = -21. Let d = 24 + m. Let p(k) = -k. Let s(x) = 5*x. Determine d*p(w) + 2*s(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13287 divided by -43\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*z + 4*z + 11*z + (3*z - 5*z + 0*z)*(1 + 2 + 0).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from bjjwqmbwv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5)**25\/(k**5\/k)**(-2\/67) assuming k is positive.\nAnswer: k**(8383\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 12656.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-24)*r*r**13*(r*r**(11\/6))**27)**45 assuming r is positive.\nAnswer: r**(5985\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 15) + 2\/(-2). Find the common denominator of 0\/(-2) + (-96)\/v and 23\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000067497646 rounded to 7 dps?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 1875*u**2 - 3655*u + 27975.\nAnswer: -5*(u - 3)*(u + 5)*(u + 373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*j**3 + 13*j**3 + 296*j**3.\nAnswer: 712*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 0.0552?\nAnswer: 4.9448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14280628 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 105 - 28 + 9*v**3 - 8*v**2 + 10*v**2 + 92 as p + l*v**2 + w*v + c*v**3 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 3. Let r(m) be the second derivative of -m**3\/2 - 2*m**2 + 8*m. Suppose 0 = 46*d - 51*d + 40. Suppose 4*l - d = 6*l. What is l*w(u) + 3*r(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 51 = -3*y. What is the greatest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16, 49, 98, 169, 268, 401, 574?\n\"Answer: n**3 + 2*n**2 + 20*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*f**5 - 371*f**4 - 375*f**3 - 129*f**2 - 2*f = 0.\nAnswer: -1, -2\/123, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 820688 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 4*i = -93*a + 342, -3*i - 53*a + 48*a + 2 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -333 - -341. Let w be (-30)\/u*(-168)\/63. Solve -8*x + 10 = -w*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138906+29.2297\nAnswer: 138935.2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170053375?\nAnswer: 5, 23, 59149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24\/3287 - -357323\/131480. Let k = -1742663\/50 - -34855. Calculate the common denominator of a and k.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*n**5 - n**2*u**2 - 5*n*u**2 - 9*n*u wrt n?\nAnswer: -420*n**3 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65710465?\nAnswer: 5, 47, 279619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (-26 + 41) - 24\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 11*b = 0. Suppose b = -3*c - 3, 5*r - 13 = 3*c + 10. What is the third derivative of 4*w**4 + 14*w**2 + 0*w**r - 16*w**2 wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7878 in -5, -12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30776537461373\/22293 - -1380547151. Let r = -1\/7431 + y. Calculate the common denominator of 2070\/(-280) + (-1)\/(-4) and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 + 1683 = 4*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -14. Let q = h - 5. Solve 5 = -q*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14502 rounded to the nearest one hundred?\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - (4 + -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -1 + 26. Suppose 5*j + 0*j = g*a + 1100, 877 = 4*j - 3*a. Suppose -3*b + 2*l + j = 0, 2*b + 4*l - 256 = -2*b. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 131091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.024 * -217.\nAnswer: -5.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + (14 - 18 - -11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45738649 by -1061.\nAnswer: 43109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 - -2) - (40 - -13 - -20).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqnqqnnnnn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306397 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3284638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -17*v + 1115 - 279. Let n(x) = x. Let s be n(0). Suppose -2*p + 4*f + 25 + 15 = s, -56 = -5*p - f. Calculate the remainder when v is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41008505, 82017010, 123025515?\nAnswer: 164034020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -95 (b) 5 (c) 1\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 + 13 = -3*p - 3*c, -5*p - 4*c = -134. Let k be 1 + 20 - (-2 + 3). Calculate the greatest common factor of p and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -121*m + 125*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (75\/(-10))\/((-6)\/8). List the prime factors of 6\/s*(-4 + 19).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + l**2 + 1)*((7 + 3*l**2 - 7)*(2 + 0 + 2) + 0*l**2 + l**2 - 3*l**2) as a*l**2 + y*l**4 + h + d*l**3 + b*l and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2476 + -2451. Solve 5*s = m - k, 5*m = -11*s + 7*s + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34310, -68619, -102928?\n\"Answer: -34309*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -4a69919?\nAnswer: -4a6992a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -5*b - 44, 16 = -2*w + 4*b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 9*y + 1. Let s be 3\/((-52)\/32 + 2). Suppose 0 = -4*z + 3 - 23. Let u(r) = -2*r**2 - 14*r + 1. Let w(c) = s*o(c) + z*u(c). Calculate w(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 - 429*i**2 - 40 + 2*i**4 - 54 - i + 94 in the form l*i**2 + y*i**3 + x*i**4 + w + k*i and give l.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(80))*-6*-3 + 3*(sqrt(1125))**2.\nAnswer: 90*sqrt(5) + 3375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6311.\nAnswer: 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/6)\/((-9)\/18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 540023342 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26653 and 83144276.\nAnswer: 83117623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((57\/18)\/19)\/(((-12)\/4)\/342).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12409 divided by -5?\nAnswer: 12409\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 308 - -63. Suppose 0 = -2*f - 5*p + 175, 4*f + 4*p - x = p. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 672 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405355 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -87558061 rounded to the nearest one million?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-13 + -1 - -22 - -43)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 2143241?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 13. Suppose 5*o - w*n - 320 = n, 320 = 5*o + 2*n. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/8 (b) 0.01 (c) -0.4 (d) -13 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of y**4\/4 - 14*y**3\/3 - 15*y**2\/2 + 5*y + 483. Determine t(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 10 - 4. Are 2 and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from hxxxhx.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 758\/3 + -1517\/6. What is the biggest value in -0.391, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -11*u**5\/60 - u**3\/6 - 8*u**2 + 8. Let x(y) be the second derivative of r(y). What is the derivative of x(q) wrt q?\nAnswer: -22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117228323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*w = 5 - 37, 0 = 2*q + w - 37. List the prime factors of (q\/(-15))\/(4\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15532 and 16.\nAnswer: 62128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1332 divide 367506295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (159\/(-477))\/(2\/(-72))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4254 - 26818. Are -22564 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 - 15*x - 1. Let y be p(4). Suppose -y*g = -6*g + 34200. What is g rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4 + 28. What is the highest common factor of 40 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 70, 122, 194, 286?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 3*n - 5. Let w = 6 - 1. Let h(g) = -4*g + 3*g - 6 + w*g - 3*g**2. What is 3*h(m) - 4*t(m)?\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (22 - (4 + 11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(4*(sqrt(175) - ((sqrt(175)*4)**2 - sqrt(175)) - sqrt(175)) + sqrt(175)*2 + 2).\nAnswer: -33591 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1175\/705*3\/5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4586.7 - -4587. Put -0.12, m, 22\/3 in increasing order.\nAnswer: -0.12, m, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 24?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101011101110 - -1110000000110101?\nAnswer: 10000101100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 22. Let m be i(8). Suppose 3*s + m = -k + 17, 23 = 2*s + 5*k. Let l(x) = 4*x + 1. Give l(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*w - 16, -b = w - 4*b - 9. Sort w, 3, -4.\nAnswer: -4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030267702 to six decimal places.\nAnswer: -0.000303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, k: 4, c: 2, w: 2, p: 4}. Give prob of sequence pwk.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(-1*2*sqrt(684) + sqrt(684) + sqrt(684) + -2) + (-2 + -4 + sqrt(684) + 1)*-6)**2.\nAnswer: -2448*sqrt(19) + 25783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-14))\/3*430\/(198660\/7546).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3 - 1) - 3 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -39, 5281492 in descending order.\nAnswer: 5281492, 5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**3 + 0*m**3 - 2*m**3 + (-2*m + 3*m + 0*m)*(-6 + 6 + 2*m**2 + (5*m**2 - 3*m**2 - 17*m**2)*(3 + 0 - 2)).\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1008306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 - 25*v + 3. Give q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*t + 455 = 91*t. Let b be 15\/6*1*28. Calculate the greatest common factor of t and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(312) - sqrt(312))*-1)\/(5*sqrt(72) - sqrt(8)))\/((sqrt(363) - (sqrt(363) + -4*(sqrt(363) - (1*sqrt(363) + sqrt(363) + sqrt(363)))))*-2).\nAnswer: 3*sqrt(13)\/2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from oiboooibbiioi.\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*y + 8 + 4, 5*j - 14 = -3*y. Let r be ((-36)\/(-15) + 0)\/(j\/(-5)). Let q be 18\/84*104\/r. Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -680398*q**3 - 62571*q**2 + 7?\nAnswer: -4082388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*w - 46. Let h(c) = 0*c**2 - c**2 + 2*c**2 + w + 5*c - 13. Give h(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1718*j = 1656*j + 62. Let d(s) = s**2 + s - 1. Let n(t) = -2*t**2 + 29*t + 1. Determine j*n(x) + 3*d(x).\nAnswer: x**2 + 32*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 0, 0.1, -0.110858?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaj when three letters picked without replacement from kanynjfnayanynj?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) -109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58398*c**3 - 6683*c + 1.\nAnswer: 350388*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 220133231 (base 4) to base 8\nAnswer: 503755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/21 + (-108)\/84.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -229825*n - 459670. Calculate w(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 7*j + 28772 = -12*j, -2*j = -10. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/3 of a year?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 - 644*o**2\/9 - 51842*o\/9.\nAnswer: -2*o*(o + 161)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 379783.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(176) + sqrt(176)*-1 - sqrt(176)) + 2)**2 + 4 + -3*(4*sqrt(176)*1*4)**2.\nAnswer: -134982 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 29. Suppose 11 = 4*b - w. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 - 226. Is (0 + 2)\/((-6)\/k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15125 + 23125. What is b rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/10*(-90)\/36. Let w be (12\/(-30))\/(1\/(-5)). Let a = 125 - 120. Solve -w*u + q = -a*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 294785, 294747, 294709?\n\"Answer: -38*q + 294823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 429 and -7?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 6, e: 10}. Give prob of sequence evv.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-90))\/(35\/(-350)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663047?\nAnswer: 3, 257, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17391 - 5784 - 5788 - 5819 + 9*v - 8*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*v = 17, -5*i + 7 = 5*v + 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*t, 14 = 5*n - 0*n + 2*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 + -93. Suppose y*w + 0*w = 1833. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 157*x - 7. Let b(m) = -164*m + 6. Calculate -5*b(i) - 4*k(i).\nAnswer: 192*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 3 - 3. Suppose b = -3*g + 6*g - 6. Suppose 0 = -5*z + 15, 5*z - 181 = -g*r + 30. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*o + 271 = 0, -17 = -2*m - 3*o - 107. Which is bigger: m or -52?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m - 147604*m**2 + 295209*m**2 - 172 - 147604*m**2 in the form g*m**2 + r*m + v and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5309450 - 0?\nAnswer: -5309450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 182770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r**2\/3 + 482*r\/3 + 3010.\nAnswer: -2*(r + 15)*(4*r - 301)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30118, 31214, 33036, 35584?\n\"Answer: 363*b**2 + 7*b + 29748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:57 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-18)\/4) + (-80)\/(-6). Let t be a\/42 - 754\/(-6). Suppose -4*f = -7*f + t. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13*i**2 - 16 + 9346*i**3 - 9347*i**3 - 43 - 5*i. Let r be f(-13). Is -2\/5 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 - -2.9. What is the nearest to -2\/7 in h, -2, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 32*a + 48*a = 0. Solve -88 = -a*n - 22*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 169466880?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 + (-140)\/(-21). Suppose 3*c = 0, -c + 5 = 3*t - u. Solve t*g = -g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 185, 328, 401, 368, 193, -160, -727?\n\"Answer: -6*l**3 + l**2 + 182*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 8*f**2 - 2*f - 9. Suppose -30 = 4*n + 2. What is t(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 95*m + 713. Give d(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.062227 minutes in hours?\nAnswer: 0.33437045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 15461*y - 1462170.\nAnswer: (y - 15555)*(y + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68413.2mm in nanometers?\nAnswer: 68413200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:25 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 744*i**2 - 27536*i + 5. Give q(37).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/(-4) + (-4)\/(-16). Suppose 0*r - 4*h = 3*r - 24, -2*r + u = -5*h. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190865 is divided by 21206?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 11?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*s + 143644 = 122*s - 3039*s + 23204 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.24 and -0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4347828 and 61410?\nAnswer: 21739140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, x: 3, l: 5}. What is prob of picking 1 l, 1 x, and 1 p?\nAnswer: 75\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.021 - -0.02121. What is p rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1819.9 - -1824.652. What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 36271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/9 + 8\/3*i + 0*i**2 - 2\/9*i**3.\nAnswer: -2*(i - 4)*(i + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 23. Let c = 19 - 93\/5. Is r at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**26\/s**(-7)*(s\/(s\/(s\/(s\/s**(-1\/30)))*s))\/(s*s*s**20*s) assuming s is positive.\nAnswer: s**(269\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5820 divided by 2910\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17177.7772 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + 0)\/1 + -1. Let q(c) = -c**3 - 7*c**2 + 4. Let b be q(-7). Suppose 0 = 34*w + 6*w - 1000. Solve -10 = z*a, -5*a - w - b = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -0.3, -7\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1846, -3260, -4244, -4792, -4898?\nAnswer: -4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/15)\/(2\/(-15)). Solve z + 1 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1357608 and 336686784.\nAnswer: 336686784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 5*b - 1. Let g = b - -34. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 3656811 + 3656822 + 3656816 - 10970449.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232002 + -1?\nAnswer: 232001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4553736 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109 (base 13) to base 4.\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -322 - -657. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4570 - 3493*a - 3473*a + 6964*a)*(0*a**2 + 3*a**2 - 5*a**2) to the form g + o*a**3 + u*a**2 + p*a and give u.\nAnswer: -9140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1161 and 3139?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 - -259 - (-2 + 51) - 91?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 189 + -116 - (117 - 2)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 - 432*i + 16592. Determine w(-176).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 3*h**2\/2 + 3*h + 6. Let m be l(3). Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.6, 0.064, 0.4, 4, -1\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -1. Let d = -6 - -6. Let f(i) = 2 - 1 - 2 + i + d. What is f(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 1. Let z be s(-4). Suppose -2 = -2*q + 2. Let y = 62\/3 + -20. Which is the biggest value? (a) z (b) y (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + u - 5 = 0, -5*l + 20 + 3 = -u. Let d = 61 - 33. What is the highest common divisor of d and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - b + 8. What is the tens digit of o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 42806, 171371, 385646, 685631, 1071326, 1542731?\n\"Answer: 42855*w**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3 - 26 - 227657*a - 49 + 227664*a - 41. Give t(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 8*l - 125. Let b be w(-16). Solve 0 = 3*a - b - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2. Let b(t) be the second derivative of t**4\/3 - t**2\/2 - t. Let p = 3 + -2. Give p*b(d) + 3*c(d).\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 32623\/(-561)*-45 + (-4)\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7752524804.\nAnswer: 2, 1938131201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 984681.3 kilograms in milligrams?\nAnswer: 984681300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -317 - -988. Let f = -410 + u. Calculate the remainder when f is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -33, -21, 9, 57, 123, 207?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((-2)\/1)*3920\/(-32). Let c = -20 - b. Let r = 329 - c. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 15*h**2 - 33*h. List the prime factors of i(8).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/40*4 - 0. Let x = -11523 + 11521. Sort 7, q, x.\nAnswer: x, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449.8542 millilitres to litres.\nAnswer: 0.4498542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147 a factor of 41062659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225, -449, -673, -897, -1121, -1345?\nAnswer: -1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.550849 + 0.062149. What is n rounded to 1 decimal place?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1. Let j(t) = -8*t - 2. Let p(b) = j(b) + 5*q(b). Let k(h) = h. What is 6*k(y) + p(y)?\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82368304 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((sqrt(114) - -4*sqrt(114))*4)\/((sqrt(30) - sqrt(480))\/sqrt(5)).\nAnswer: -4 + 80*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, o: 11, u: 2, i: 1, g: 1}. Give prob of picking 2 u.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3 = -3*m, 25*m - 4*d = 26*m - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + 74\/(-6). Let b(i) = i**3 + 6*i**2 - 9*i + 2. What is the remainder when 2\/8 - 357\/d is divided by b(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508193 to the power of 1\/2, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 5*w + 9. Suppose -2*b - 7 = -17. Suppose 1 + b = d. Let m be c(d). Solve -q - 14 = 4*x - m*q, 3*x - 4*q + 3 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4301 - -77399\/18. Let u = 15 + -26. What is the common denominator of z and (6\/(-20))\/(u\/(-35))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 257, 386?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -121436, 3, -5 in increasing order.\nAnswer: -121436, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 11. What are the prime factors of (18\/g)\/(3\/60)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a + 1. Let i(k) = -27*k + 4. Let n(h) = h**3 + h**2 - h + 9. Let x be n(0). Let c(m) = x*z(m) - 2*i(m). Is c(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23186.\nAnswer: 2, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {o: 3, k: 2, m: 5, a: 1, v: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, p: 1, m: 5, o: 3, b: 7}. Give prob of picking 4 m.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1947640 and 67744?\nAnswer: 7790560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30244*z**3 + 11857*z**2 - 2 wrt z?\nAnswer: 181464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 2*z + 345 = s, -3*s - 191 = -2*z. Suppose 0 = 4*i + i. Let q = i - s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x\/x**16)*x\/x**(27\/2)*x**(-20)*x**(2\/39) assuming x is positive.\nAnswer: x**(-1205\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200896 + 68717 + 61506 - b + 204974 - 142219.\nAnswer: -b + 393874","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4206237 to the power of 1\/2, to the nearest integer?\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(100)\/sqrt(4))\/sqrt(5) + (sqrt(15)\/sqrt(3) - sqrt(5))*1)**2 - (3 + sqrt(20)\/sqrt(4) + 0 + sqrt(25)\/sqrt(5)))*-1.\nAnswer: 2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -361, -542, -717, -874, -1001, -1086, -1117?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 858013.9 - 858078.84073. Let u = h - -4.93999. Let s = 60 + u. What is s rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161625724 and 12588.\nAnswer: 484877172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-279288)\/3240 - 6*(-2)\/10?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/3)\/(((-6)\/9)\/(112\/168))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**2 - 2. Let l(i) = -10*i - 9. Let r(w) = -w - 1. Let p(v) = -2*l(v) + 18*r(v). Determine q(p(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f + 88. Let u be z(3). Suppose 4*a - 49 = -u. Let o(d) = d + 7. Let l be o(-5). Solve -l = a*b - 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 12) in base 2?\nAnswer: -11011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15070464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 126.37.\nAnswer: 129.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276 (base 12) to base 16.\nAnswer: 17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 84. Suppose 2*p = -2*x + x + 8, 3*p = 3*x + t. Factor -p + 1 + 2 - 5*w**2 + 3*w + 4.\nAnswer: -(w - 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 3*g**2 + 0*g + g**2 + 3*g**2. Let a be l(0). Solve 4*v - 3*v + 2 = a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -4\/5*p**4 + 0 - 14\/5*p**3 - 4\/5*p - 14\/5*p**2 = 0.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18020566297 - 163*b**3 - 18020566297.\nAnswer: -163*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 62. Let j = -20 + q. Which is the closest to j? (a) -2 (b) 4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810791 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 13656*y + 0*y**2 + 13997*y - y**2 in the form h*y**2 + o + d*y and give d.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**2 - 21*a + 2. Let k(f) = -3*f - 16. Let p be k(-3). Let g be l(p). Find the first derivative of d + 17*d**2 + 15 + 0*d**g - d wrt d.\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/2 - 148*p**2 - 10680*p - 216000 = 0. Calculate p.\nAnswer: -200, -60, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 7*n**2 - 5*n**2)*(-n + n + n) + 5*n**3 - 3*n**3 + 3*n**3 + n**3 - n**3 + 2*n + n**3.\nAnswer: -4*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -221, -877, -1969, -3497?\n\"Answer: -218*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + p + 2)*(6 + 0 + 101)*(24*p - 19*p + 20*p) in the form r*p + q*p**2 + d and give q.\nAnswer: 2675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-50) - (-4)\/(-20). Does 24 divide 2\/(-8)*a + (-10 - -35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 18*n**2 + 15*n + 41. Let l be p(17). Suppose l*z + 204 = 8*z. Calculate the remainder when z is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.443*146.8\nAnswer: 65.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57.9 + 58.3. Let q(o) = o**2 + 3*o. Let y be q(-3). Which is the closest to -18? (a) 4\/5 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5345579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = 3*t - 5, 4*f + 2*t = -4. Let i be 18*(f\/(-2) + 0). Suppose -2*j = -2*v + 10, 3*v - 13 = 2*v + 5*j. Solve -i = -0*g - v*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158800 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-122)\/(-14) + 14\/49?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(0 - 3)*-2. Suppose 15 = -t*a + 5*a. Suppose -25 = -a*n, 4*o - 5*n + 10 = -23. Put -1, 0, o, -4 in increasing order.\nAnswer: -4, o, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1179 - -1204. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -10.7. Let t = -85.43 - -75.4278. Let m = j - t. What is m rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -16. Let k(h) = h**2 - 3*h + 2. What is the units digit of k(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51562136?\nAnswer: 2, 23, 280229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + o**4 + 0*o**4 + (-234 + 56 - 7)*(-3*o - 1 + 1)*(4*o**2 - 4*o**2 - 2*o**3).\nAnswer: -1111*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/3)\/j*j**0*(j*j**(-3\/10)\/j)\/(j*j*j*j**(-1\/10)*j)*j**3*j*j\/j**(1\/8)*(j\/j**(-1\/3))\/(j**(-1\/5)*j) assuming j is positive.\nAnswer: j**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -129579*y - 518313. Calculate h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -119*q - 13. Let k(b) = 2*b + 2. Determine -g(h) - 5*k(h).\nAnswer: 109*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u + 191808 = -14*u. Let s = u + 142111\/20. Find the common denominator of -27\/22 and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66 - (-39 + -38)) + -38?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 9*k + 35. Give s(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 31 + 1084 + -1131.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3443*k = 3447*k - 80. What is the lowest common multiple of 5692 and k?\nAnswer: 28460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 3*f - 24 = 17*w - f + 6, -2*w + 3*f + 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4142361792?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4152 and -15\/16.\nAnswer: 8304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 1\/2, -2\/13, 4, 154.5 in ascending order.\nAnswer: -2\/13, 3\/7, 1\/2, 4, 154.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/11)*r)\/(((r*(r\/r**(2\/17))\/r)\/r*r)\/r)*r\/(r**(-1\/3)*r)*r*r\/r**(-2\/19) assuming r is positive.\nAnswer: r**(50503\/10659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*u - 17*u + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3887 is divided by (74\/42 - ((-119)\/(-49) - 2))*18.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5733 and 0.2?\nAnswer: 5732.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z - 6. Suppose -m = z*b - 32, 3*b + 6 = b. Let g = 45 - m. Solve 0 = t + 2*i - 3*i - 2, -g*i - 1 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -331820, -663912, -996004, -1328096?\n\"Answer: -332092*q + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p - 4*y + 50 = 0, 4*p + 5*y = 85. Suppose -47532 - 31503 = -p*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 8*t - 7. Suppose -61*q = -66*q - 35. Give s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*j = -189*j - 2427. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(7)*1*-5)**2)*3 + (5*(sqrt(175)*2 + sqrt(175)) + ((1*sqrt(175) - sqrt(175)) + sqrt(175) - sqrt(175)) + -5)**2.\nAnswer: -732*sqrt(7) + 38875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44717 and 2813.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.48 - 16.479792. What is r rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -662 - 1651?\nAnswer: -2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (29 - 14) - (-7 + 21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 10:05 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 4*g - 1. Determine z(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -30. Suppose -t*y + 7*y - 24 = 0. Is 508\/y*6\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and (-168)\/36*(-18)\/7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/8 - (-1)\/(-4). Let z(d) = 923*d**2 - 64*d + 37. Let r(l) = 185*l**2 - 12*l + 7. Let t(p) = 11*r(p) - 2*z(p). Is t(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -4, 0, 2, -286 in increasing order.\nAnswer: -286, -32, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 + 4*l**2\/7 + 3*l\/7.\nAnswer: l*(l + 1)*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2402306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*n**3 + 1468*n**2 - 44160*n + 285696.\nAnswer: -2*(n - 48)**2*(7*n - 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 9*b + 0*b**4 - 18*b**2 + 2 - 1\/20*b**5 + 2\/3*b**3. Differentiate g(n) wrt n.\nAnswer: -3*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + (-4*sqrt(208) - sqrt(208)))*6.\nAnswer: -96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 1. Suppose -2*w + 4 = 2*r, 2*r - 5*r = -w + 6. Let m be a(r). Suppose -3*d + m*d = -9. Solve p + 8 = d*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 137*c + 11565. Calculate l(59).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11484, 5, 0.2, -4?\nAnswer: -11484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.12, 1\/3, -2\/9, -1\/8, 9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5318 - -5320. Which is greater: u or -1037?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Let s = 8 + -10. Is 53\/z - s\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/18 - (-9 - -14)) + 3. Which is bigger: -0.025 or s?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83960199.\nAnswer: 3, 3109637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/15))**(-40)\/((p\/(p**(1\/10)\/p)*p)\/(p\/(p**11\/p))) assuming p is positive.\nAnswer: p**(-1397\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -40, 0.1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*l + 55*l + 42*l - 135*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26 + 59 - 121 - m**3 - m**3 + 7*m**4 wrt m?\nAnswer: 28*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72146 + 4068 - 38730 + 12260)*(-v - v + v).\nAnswer: 94548*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Suppose -c*o + 4*l + 40 = 0, o - 6*o = 5*l - 20. Suppose 9 = 2*j - o. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1771039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 70 (b) 0.3 (c) -1 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 90, 92, 108, 144, 206, 300?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2629, 2618, 2607, 2596, 2585?\nAnswer: 2574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50722369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 7*q**2 - 4*q - 10. Give v(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*s + 287 = -119. Let y(o) = -o**2 + 8*o - 7. What is y(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-3)\/18). Suppose 5*g - g - h = 0. Suppose -x + 0*x - 14 = 5*b, 4*x - 59 = 3*b. What is the highest common factor of g and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6320, -6392, -6464, -6536?\n\"Answer: -72*s - 6248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**2. Let c be (2\/(-5) + -1)*-5. Let f(m) = -c - 3*m - 2 + 9. Give o(f(i)).\nAnswer: -81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-3 - 24\/(-3)). Suppose 5*q + 0*q - y = 0. Let k = 79\/5 - 16. Is q >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 10*q + 11. Let w be y(-11). Solve -2*i - 24 = -6*i - 4*g, w = -5*i + g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59361924 or -59361925?\nAnswer: -59361925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9*3\/(144\/4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.852 rounded to the nearest 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 46 + 5 + (41 - 86)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -296, -1707, -4074, -7403, -11700, -16971?\n\"Answer: -n**3 - 472*n**2 + 12*n + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 14*c + 6*c)*(2 + 0 + 3).\nAnswer: 100*c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 2. Let w be t(5). Suppose -31 + w = 4*m. Let l(x) = -2*x + 5 + 9*x + x**2 + 0*x. Give l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 3*u + 3. List the prime factors of s(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - h - 3. Let j(c) = -c**2 + 2. Let v be (11\/(-33))\/(1\/(-3)). Let y be (0 + v)\/((11\/(-2))\/11). Calculate y*o(r) - 3*j(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*v - 2. Suppose -4*j = -3*s - 0*s - v, -15 = -5*j + s. Suppose j*t + 2*c = 16, -3*c = -3*t + 6*t - 15. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1464.3254*3\nAnswer: 4392.9762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b = 30. Sort -1, b, 4 in decreasing order.\nAnswer: b, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and -0.341.\nAnswer: -0.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let c(o) = -4*o + 7107. Give c(d(j)).\nAnswer: -4*j + 7107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*3659.\nAnswer: -182.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10515155 (base 8) to base 3.\nAnswer: -11021012210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*12\/(-9)*8. Suppose -3*z = -z - s. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*i**3 + 3*i + 153 wrt i?\nAnswer: 51*i**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Suppose x*h + 2259996 = -5*v + 4*v, v - 3390004 = 3*h. Round h to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3422, -14076, -32352, -58676, -93474, -137172, -190196, -252972?\nAnswer: -325926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*l + 253*l = 40*l - 19*l - 20303 for l.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 243\/5. Let p = -7\/6 + 5\/6. Which is the third biggest value? (a) -4 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**2 - 24*k - 185. Give n(12).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -305*r**3*w**4 - 2*r**3*w + 705*r*w**4 - 48287*r*w**2 + 2*r wrt w?\nAnswer: -7320*r**3*w + 16920*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.5, 1021, -1, 2472, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 25. Suppose 0*z - 3 = -z. Let t be 2\/z + 20\/6. Sort 3, t, h in increasing order.\nAnswer: 3, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from kssncsk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*n + 1230. Suppose n*g - 258*g + 96 = 0. Let z = 5 - 4. What is the smallest common multiple of g and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -1747*s**3 - s**2 + 20*s + 38. Is 22 a factor of h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4)*(-60)\/(-900)*150\/9?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -154045 (base 8) in base 16?\nAnswer: -d825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11088693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 7*b**2 - 18 + 113 - 19 + 28*b**2 in the form c + d*b + r*b**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*p + 144 = 1504 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45670.89 centuries to millennia.\nAnswer: 4567.089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11044010 + -121012?\nAnswer: -11220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -5*s**2 + 6*s + 1. Let t(n) = -3*n + 2. Calculate -2*h(o) + 7*t(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -3, 0, 2\/135, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.52 minus -1.03642?\nAnswer: -2.48358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 299*o**2 - 464*o**2 - 248*o**2 + 5*o**4 + 572*o**6 - 5*o**4 - 2*o**5 wrt o.\nAnswer: 68640*o**3 - 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*i - 3*r + r, -2*i = -5*r + 6. Let d = 93 + -52. Suppose 0 = -4*m - 9 + d. Calculate the highest common factor of i and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j. Suppose -1 = -3*v + 5. Let t(c) be the first derivative of -4*c**2 + 13*c**v + 13 - 8*c**2. What is r(t(l))?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0482 in -4, 1\/2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 2. Let u be q(9). Let k be 4\/u + 42\/(-10). Let y be (-4)\/(-8)*1*4. Sort y, -1, k.\nAnswer: k, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -5135.\nAnswer: -20540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7782 plus -778.9?\nAnswer: -8560.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(6\/42 + (-88)\/77). Sort o, 3, -95, 4 in decreasing order.\nAnswer: 4, 3, o, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.57465 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 6*s. Let j(u) = u**2 - 2*u - 2. Let d be j(-2). Let x be a(d). What are the prime factors of (x + 1)*(-12 + 29)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/77*2\/4*-39\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -205, -308, -409, -508, -605, -700?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c7 - 158e7?\nAnswer: -15820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 + 0*k**2 + 83*k**4 + 29*k**3 - 85*k**4 as n*k**2 + w*k + r + j*k**4 + y*k**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -120, -3, 6, 51 in ascending order.\nAnswer: -120, -3, -1, 6, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2. Let k(o) = -o - 2. Let n = 6 + -8. Let m be k(n). Let w(f) = 0*f - f + m*f. What is w(i(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/478517295 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 18 = -4*j + 8*j, -9 = j + 2*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 - -195. Find the second derivative of -6*v**5 - 3 - k*v + 1 + 43*v wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 12*c + 3. Let w be g(11). What is the hundreds digit of 8*(-3 + (-20)\/w) - -385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 0. Find the first derivative of j**s - 9*j**4 + 2 + 9*j**4 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 242 + 382. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) - -1*sqrt(95)*-1)\/((sqrt(30)*-1)\/sqrt(6)) - (sqrt(114)\/sqrt(150) - ((sqrt(19) - sqrt(19)*3) + 1)**2).\nAnswer: -21*sqrt(19)\/5 + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**2 - 50*b + 78. What is a(-11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**(-7)*(f*f*f**(-2\/5))**(-9) assuming f is positive.\nAnswer: f**(-109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o**3 + 11*o**2 - 14*o - 27. Let v(b) = 7*b**3 - 13*b**2 + 16*b + 28. Calculate 6*t(p) + 5*v(p).\nAnswer: -p**3 + p**2 - 4*p - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, -117 in descending order.\nAnswer: 1, -2, -3, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 298937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -4. Let u(g) = 249*g**3 - 6*g**2. Let h be u(b). Round h to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -19*h + 20*h. Suppose 3*n - 9235 = -5*m, n + 4*n + 9235 = h*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) 3\/4 (c) -2\/17 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9379466, -18758937, -28138408?\nAnswer: -37517879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18143 - (128\/(-8))\/(6 - 8)?\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*c - 1196 = -889 + 3743. Let u be 0 + 11 + (1 - 2). Solve c*i - u = 17*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136879 is divided by 435.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obobobbooo. Give prob of sequence bbbo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 644 + -194. Let p = x + -341. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 15*r**2 - 15*r + 1. Let b = 102 + -86. Let s be p(b). Suppose -77 = -4*v - s. Calculate the remainder when v is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 395 - 387. What is the tens digit of a\/(-4)*(-978)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-24) + (-4)\/8.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*m = 305*m + 21. Put m, -3, 14, 1 in descending order.\nAnswer: 14, m, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*v + 4 = 894 + 553 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-30))\/((-1443)\/148)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b + 2*b - 2*b + (-4*b - b + 2*b)*(-2 + 4 - 5))*(-4*b - b + 10*b)*(-4 + 4 - b) as j*b**2 + c*b**3 + v*b + t and give c.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*r**3 + l*r**2*x + 6*l*r*x + 2*r**3*x + 4*r**3 with respect to l.\nAnswer: 2*r**3 + r**2*x + 6*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (8 - 9) + -10 + 25\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 315563358844.\nAnswer: 315563358844.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 65*o**3 - 214*o**2 - 223*o + 7. Let k(b) = -111*b**3 + 357*b**2 + 372*b - 12. Let s(l) = -12*i(l) - 7*k(l). Find y such that s(y) = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 81 = -4*u. Suppose 4*k - 52 = -4*q, -2*k - 2*q + q = -u. Let a(b) = -14 + k + 4*b. Let d(w) = 4*w**2. Give d(a(f)).\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1517? (a) -33 (b) 4 (c) 0.3 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + 0.7. Let s = 0.9 - l. Let g = 2\/197 - 1192\/985. Sort s, -0.4, g in ascending order.\nAnswer: g, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.02 + -1.9. Sort y, -2\/19, -2\/13 in ascending order.\nAnswer: -2\/13, -2\/19, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94778987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - x = 18, 937*w - 932*w = -3*x - 50 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 374393 = 2*k - 262348, 3*q + 3*k - 382041 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57891942 or 57891946?\nAnswer: 57891942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*g**2*z**3 + 7*g**2*z - 3870*g**2 - g*z**2 - g*z - 75959*z**3 + 47*z - 1 wrt z.\nAnswer: -360*g**2*z - 2*g - 455754*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let h(z) be the second derivative of z**4\/12 - 34*z**3\/3 - 119*z**2\/2 - 117*z. Let c(n) be the first derivative of h(n). What is b(c(l))?\nAnswer: -4*l + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - v + 5*v + 140 = 0, -2*w = v - 125. Let g be (15\/(-4))\/(4\/w*6). Let j be ((-12)\/(-14))\/(g\/(-35)). Calculate the highest common factor of 9 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**2\/2 - 2*v - 1. What is the remainder when 7 is divided by b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*i**3 - 12*i**3 - 24230*i**2 + 2 - 117*i**3 + 24228*i**2 to u*i + h*i**2 + t*i**3 + p and give t.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/3 - 38*m**2 + 228*m + 800\/3 = 0.\nAnswer: -1, 8, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 50995. Let o(t) = 3*t**2. What is o(z(n))?\nAnswer: 3*n**2 + 305970*n + 7801470075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 31972*v**2 - 63856*v - 176 = 0. Calculate v.\nAnswer: -22\/7993, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 9, v: 3, o: 1}. What is prob of sequence xvx?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -16670 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2932 - 3.7068. Which is the nearest to -1? (a) -0.07 (b) o (c) -106 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 24*w + 140. Let r be s(-8). Let d(n) = 9*n - 6. Let k be d(6). Calculate the greatest common factor of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 5*f + 42. Calculate the remainder when 36 is divided by (-21)\/7*f\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/sqrt(5)*-1*-4*-2)\/((6*sqrt(60)\/sqrt(3))\/(1*sqrt(30)\/sqrt(3))).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/4*z - 1\/4*z**2 = 0. What is z?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1291*r + 71*r**2 + 33*r**2 - 103*r**2 as n + z*r + x*r**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 70*k - 18*k**3 + 6*k**2 - 27*k + 19*k**3 - 48*k. Give a(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 greater than 1193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 53166 = 2*m, -66453 = -5*h - 145*m + 147*m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 2*c - 6. Suppose -4*z = z - 10. Let q(t) = -4*t**3 + 3*t**3 - t - t**2 - z*t**2 - 1. Calculate q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let t(p) = 240*p. Let j(r) = -r. Let w(f) = -48*j(f) - t(f). Calculate n(w(x)).\nAnswer: -384*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -17. Let x be 0\/(0\/t - 2). Factor x*a**2 + 16*a**2 + 7*a**3 + 4*a + 12*a**3 - 7*a**3.\nAnswer: 4*a*(a + 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -183 and -3.1?\nAnswer: 567.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {c: 7, e: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78937.\nAnswer: 193, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 * -0.63\nAnswer: -2.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9028 + -45148\/5. Let y be -1 - -3 - (0 - 1). What is the nearest to c in 3\/2, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16915605 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*m**3 - 628*f - 225*m**2 wrt m?\nAnswer: 6*f*m**2 - 450*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/12493 + -24980\/37479. What is the nearest to -2 in 21, 4, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16111?\nAnswer: 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -7. Let v = -16 + 16.3. Let n = -136 - -678\/5. What is the nearest to 1 in z, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -17*j + 26. Solve -11 = -3*t + i, -j*t + 3*i - 7 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-5\/3)*k)*k*k*k\/k**(-24))\/((k*k*k**(-1\/8))\/(k*(k**(2\/11)\/k)\/k)) assuming k is positive.\nAnswer: k**(6857\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose 5 = 3*m - 4. Suppose 56 = m*o + o. Solve -u*j - 5*k = 13, o = -0*j + 3*j - k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 64533914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3126*r**2 - 70*r - 26. Let o be h(-5). Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 2*f - 115 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2459410928*0.4.\nAnswer: 983764371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348719 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -923722*c**2*z**2 + 3417*c*z**2 + 97*z**2 wrt c.\nAnswer: -1847444*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 337 + 7*g + 335 - 28*g**3 - 673 + 22*g to a + t*g**3 + v*g**2 + j*g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 - 161 + 113*i**3 - 115*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -6 + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 4030434?\nAnswer: -4030430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -720*k + 5451. Let p(z) = -243*z + 1817. Let q(w) = 4*i(w) - 11*p(w). What is the first derivative of q(f) wrt f?\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21643 is divided by 455?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3*l**4\/4 - 4*l**3\/3 + l**2 + l - 2. Let f = 0 + -13. Let m = f + 15. What is y(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 s when four letters picked without replacement from {s: 12, l: 7}.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32532625 and 250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -15.5.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10371 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5, -g + 3*i - 2*i = 6. Let r = -11 + g. Let w = 16 + r. Solve w*b + 4*b = -20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -226, -838, -11 in ascending order.\nAnswer: -838, -226, -24, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/46552 and 53\/18888.\nAnswer: 109909272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofofowff. Give prob of picking 2 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from {v: 1, p: 1, d: 10, i: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44*(4 + 338\/(-104)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156853715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2577 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1265*a + 17. Let v(f) = -633*f - 7. Calculate 2*d(o) + 5*v(o).\nAnswer: -635*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1396925?\nAnswer: 5, 71, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0179098 decades?\nAnswer: 2.149176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 396, 592, 788, 984?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*n - 8*n**2 - 145*n + 228*n - 1.\nAnswer: -8*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a4dda - 5?\nAnswer: -a5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*j + 3 = -221, 4*h - 3*j = -450. Let o be h\/10 - 6\/(-15). Let x(r) = 7*r + 1. Let i(d) = 13*d + 2. Calculate o*x(z) + 6*i(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + sqrt(228)\/(sqrt(12) - (sqrt(12) - (2*sqrt(144))\/sqrt(12))) - (sqrt(171)\/(sqrt(45)\/sqrt(5))*-2 + 5))**2.\nAnswer: -35*sqrt(19) + 675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 386421643?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-155)\/10)\/(3\/(-186)). Let p = a + -6683\/7. Calculate the common denominator of p and 119\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/17 - 6*f**2\/17 + 2*f\/17 + 6\/17.\nAnswer: -2*(f - 1)*(f + 1)*(f + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/5 - -3)\/(-3). Let q(k) be the first derivative of 2\/3*k**3 - 3\/2*k**2 + 0*k + v. Find the second derivative of q(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9800? (a) -0.3 (b) -2\/17 (c) 328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 k when three letters picked without replacement from {g: 11, k: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 17990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 = k, 0*x = -3*x - 3*k - 27 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-39))\/((-10)\/(-65)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 888\/1080 + (-6)\/10. Sort -5, 1, 6, q in descending order.\nAnswer: 6, 1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 17 - 142*d - 2 - 8 as l*d + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 32429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.1 + 7.1. Let r = 0.21 - 0.01. What is the nearest to r in -2, 3\/7, s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 869.2 + -868.7. Let k be 2 - 8\/(-3) - -1. Suppose -5*w + 4*g = 17, 3*w + 3 + 6 = 2*g. Which is the closest to w? (a) k (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 81.98 and 0.81?\nAnswer: 81.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -3\/7 (b) -19 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 37 - 12 = 0. Let x(s) = s + 2*s + 6 - 2*s. What is the units digit of x(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(77))\/sqrt(7).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + w**2 - w - 1. Let z(r) = 2*r**3 - 3*r**2 + 3*r + 3. Let d be (1\/2)\/(25\/150). Give d*o(n) + z(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 25, 1.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-62 - -26 - -21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 737? (a) -4 (b) 18 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 9 + 1. Let g be 0 - (-1 - 11\/(-6)). Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -278, -864, -1788, -3050, -4650, -6588, -8864?\n\"Answer: -169*p**2 - 79*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/(-24))\/17*(-12)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -p + 3 - 39, -j = -10. Let s be (-687)\/(-21) - (-2)\/7. Sort s, -1, 3, p.\nAnswer: -1, 3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**5 + 14*b**3 - 5*b**2 + 17*b.\nAnswer: 240*b**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 499988 and 111613?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*d - 13*d - 33 = 21, -366*d = -364*d + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 9) to base 8.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 411 = 3*r + 2*c, c + 411 = 3*r. Calculate the remainder when r is divided by 60.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = h. Let z = 0 + h. Solve z = -2*i - 1 - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k. Let o(h) = 22986725*h - 1. Calculate l(o(z)).\nAnswer: -45973450*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*f + 367*f**2 + 6*f - 364*f**2 + 57*f + f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2 + -1)*(-20)\/15. Suppose -3*z + 2216 = -3*g - 2764, 0 = 5*z + t*g - 8279. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*u**2 - u**3 + 18*u**2 + 2 + 65*u**2 in the form w*u**3 + n + v*u + f*u**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/12*2*2. Let b(v) = -v**2 - 9*v - 7. Let o be b(-6). Suppose -5*j + r = -4*u, -j - u + o = u. Solve w + j*g = 2, 3*g = w + 4*g + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 + -1 - (26 - 22))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 2:57 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385855316?\nAnswer: 2, 7, 11, 1252777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x + 3*x**2 - 3 + x**3 + 2 - 3 - 2. Let u(r) = -r + 8. Let c be u(12). What is g(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.142, 1\/5, -45\/344, 2\/5?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 28*f**2. Let k(c) = 4*c + 5. Let n(i) be the first derivative of 3*i**2 + 7*i + 10. Suppose j + j - 10 = 0. Let m(x) = j*n(x) - 7*k(x). Give m(y(l)).\nAnswer: 56*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 53. Let j be (1\/((-2)\/6))\/(-1). What is the closest to -1\/2 in j, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104612478 plus -6463?\nAnswer: 104606015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/(13\/(1755\/(-3))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 358*n - 68751. What is l(192)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuffu. What is prob of sequence uu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68645\/240282 + -1\/34326. Which is the nearest to -1? (a) 0.5 (b) h (c) 25 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1265, 2512, 3733, 4928, 6097?\nAnswer: 7240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 126\/23 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -114*g + 784. Give r(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sckhkyjy. Give prob of picking 1 s and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -2*r - 4*p, 0 = -2*r - 18*p + 19*p + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3494, -6958, -10422, -13886, -17350?\n\"Answer: -3464*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, w: 3, l: 9}. Give prob of picking 2 w and 1 d.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 3*w**2 - 2*w + 3. Let p(y) = 6*y**3 - 16*y**2 + 10*y - 16. Let j = 3688 - 3685. Determine j*p(t) + 16*f(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -2 - -1 - -3. Let n be 0 + 55 + h + -3. Calculate the greatest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 12*r**3 + 3*r**2 + 3*r - 3. Let s(b) = -11*b**3 - 4*b**2 - 4*b + 4. What is 4*g(p) + 3*s(p)?\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:04 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f + 1508*f**4 - 1252 + 1613*f**4 - 3030*f**4 wrt f.\nAnswer: 364*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295194?\nAnswer: 2, 3, 49199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 39050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let s(z) = -416*z + 212*z + 2825 + 203*z. Determine d(s(f)).\nAnswer: f - 2825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3703*m + 33243. Determine h(-9).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -72324 divided by 36162\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 8. Suppose 2*s = 3*m - 29, -5*s = m - s - 5. Suppose -o + 3*j - 100 = -6*o, 2*o - m = a*j. What is the remainder when 33 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*2*(17\/(-8) + (20 - 28) + 10). Factor -16*l - d*l**3 - 14 - 11\/2*l**2.\nAnswer: -(l + 2)**2*(l + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4986672233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5 + 63*r**4 + 141*r**3 - 2799*r**2 - 4242*r + 17640 = 0?\nAnswer: -5, -4, 2, 7, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 936 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121300 + -1103?\nAnswer: -123003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-10))\/(637\/156 - 4). Sort -2, m, -20, 1.\nAnswer: -20, -2, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 84 + 40 = -5*y + 3*y + 155, -5*y + 4 = -2*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1909219705.\nAnswer: 5, 811, 470831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**9\/(v*v**(-1))**(-16))\/((v**(2\/3))**(30\/13)*v**(3\/4)*v\/v**(4\/3)) assuming v is positive.\nAnswer: v**(397\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (55\/60)\/((-2)\/(-8))*3. Suppose 16*c = w*c + 350. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1587*v + 3656. What is the hundreds digit of q(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 7*p + 1. Let s be v(7). Suppose -s - 74 = -3*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -9\/7 (c) -2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -26460 (base 13) to base 9\nAnswer: -117423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906006834.\nAnswer: 2, 503, 1894639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 19 = 161. Let p be s\/(-8)*4\/(-6). Suppose p*z = -15, -w + z - 19 = 5*z. What is the greatest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.18 + -1.98. Which is the second smallest value? (a) d (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j + 18 = c, -4*c + j = -39. Calculate the highest common divisor of c and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*i + 1125 = -236*i. Calculate the smallest common multiple of 57 and i.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 278, 789, 1300, 1811, 2322?\n\"Answer: 511*w - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, a: 3, e: 1, h: 2}. Give prob of picking 1 z and 1 a.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333279 is divided by 1068.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 499645 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 375, 754, 1135, 1518, 1903, 2290, 2679?\n\"Answer: x**2 + 376*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32476 - 13166. What is n rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41 - -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in -1\/7, -0.5, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 2.192463\nAnswer: -2.192463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627 = -23*n - 34*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {d: 1, t: 2, b: 2, w: 1, p: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + -1 - sqrt(468))*-2 - sqrt(468))*2.\nAnswer: -12*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - x**2 + 2*x**3 + 2*x**3.\nAnswer: 4*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00683951 to five decimal places.\nAnswer: -0.00684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113.00000101 + -113. What is q rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 9*u**4\/2 + u**3\/3 - u**2\/2 + 79*u + 2. What is the second derivative of p(h) wrt h?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722 = -41*z - 148 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25309, -25308, -25307?\nAnswer: -25306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**2*x**3 - 2*p**2*x**2 + 26*p*x**4 - 2*p*x**3 - 2*p*x**2 - x**2 wrt x.\nAnswer: -6*p**2 + 624*p*x - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 5. Suppose -5*w = -3*a - 12, w = -w + 4*a + l. Let d = 7 - w. Solve 2 = 2*y + d*b, 5*y - b - 10 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*g - 102*g - 11639*g**3 + 224*g - 1.\nAnswer: -11639*g**3 - g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 652 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3305 is divided by 2828.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10419579*h**4 - 11800006*h wrt h?\nAnswer: 125034948*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 657 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -665 - -677. What is the smallest value in a, 5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*j + 13, 5*h - h = -j + 21. Suppose 0 = -2*o - h + 8. Solve -4*a - 8 = o*d - 2, 5*a = -d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 5. Suppose v*u = u - 338. Let q = 88 + u. Round q to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-3)*(26 + -33). Suppose 2*w - 19 = 1. Let j = w - z. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7605.651 months to decades.\nAnswer: 63.380425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19242 divided by -6.\nAnswer: 3207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 4:55 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-10)\/(-990)*-9.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)\/(l**8\/l)*(l\/l**3)**(-2\/35) assuming l is positive.\nAnswer: l**(-688\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 59 + 47 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 126. Suppose 6*x = 43 - b. What is the closest to -2 in 1\/3, -1\/3, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/1655 - -36419\/14895. Let s = n + -211\/90. Sort s, -3\/2, 27 in descending order.\nAnswer: 27, s, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 + l - 2. What are the prime factors of o(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 724, -551, -2622, -5495, -9176, -13671, -18986, -25127?\n\"Answer: -n**3 - 392*n**2 - 92*n + 1209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5662*u**2*z**3 + u**2*z**2 - 3*u**2 + 4*u*z**4 - 408*z**2 - z wrt z?\nAnswer: 33972*u**2 + 96*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4, -5*k + 13 = -0*r - 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -0.335\nAnswer: -6.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/41? (a) -7 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1956342 + 0.921.\nAnswer: 1956342.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006757711338 to 4 decimal places.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {j: 7, v: 2, w: 3, i: 3, s: 5}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (352\/112)\/((-616)\/3920)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-8))\/(1\/(-4)). What are the prime factors of 16 - (3\/j + 2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16862.71397 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1667 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3, -629, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -83. Is 11 a factor of c\/4*12\/(4\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -91751268103 and 0.23.\nAnswer: -91751268102.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39 - 57*o**2 + 42 - 48*o**2 + 144 wrt o?\nAnswer: -210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*14\/84*-4. Sort -16, 30, q, 1 in descending order.\nAnswer: 30, 1, q, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:40 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.83 in 1, 0, -1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 80*a**3 + 2 - 32*a**3 - 2*a**2)*(-2*a + 0*a + 5*a).\nAnswer: 144*a**4 - 12*a**3 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1257 by -3.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 462?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8306525759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2326*y**3 - 104669*y**2 + 47*y + 66. What is r(-45)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4985 - -5013. What is the greatest common factor of i and 832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.2 - -11.59. Let l = -0.26 + b. What is l rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-76)\/(-8) - 1\/(-2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393082*j + 196532*j - 7*j**2 + 196527*j + 5.\nAnswer: -7*j**2 - 23*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1366*d - 3. Let p(i) = -4976338*i + 10928. Determine -10928*j(y) - 3*p(y).\nAnswer: 1366*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*g - 4*d, -4*d + 33299 = 33279 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50744467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*g + 2*g**4 + 32*g - 4 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -28, -0.2, -9 in decreasing order.\nAnswer: -0.2, -9, -28, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185 + 175. Let m = i + -224. Calculate the remainder when m is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 13 = -3*w, -107*b - 121 = -131*b - w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-95)\/10 - ((-19)\/((-171)\/(-135)) + 19).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 46. Let c be (-3)\/(-6) - (-12)\/(-8) - a. What is the highest common divisor of c and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8387.\nAnswer: 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93441 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 846 - 834 = 4*t, 4*t = -2*q + 3360. Suppose 3*v + 5*s - 1314 = -293, 5*v + 4*s = q. Calculate the remainder when v is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 - n**2 - 4*n - 8. Let p(o) = 2*o**3 + o**2 + 3*o + 7. Suppose 6902*w - 6906*w = 1 + 11. What is w*d(a) - 4*p(a)?\nAnswer: a**3 - a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4330 + 4329. Sort -5, -2, -27, v in descending order.\nAnswer: v, -2, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/18 + (-75)\/(-18). Suppose -p*c + 24 = -0. Let l be (2 + 3)\/((-6)\/c). Let m(q) = q**3 + 6*q**2 + 5*q - 1. Give m(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.5 (c) -3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 2, -1, 103, -3 in increasing order.\nAnswer: -5, -3, -1, 1, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15996\/54)\/((-8)\/(-72)).\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 933 = -p + 865, -308 = -4*z + 4*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/((-27)\/(-63)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnc when three letters picked without replacement from ffcqrnr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/13 (b) 10 (c) 7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1438360173 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 69 + -27 + -46.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**2. Let u(b) = 9*b**2 + 5*b**2 + 23*b**2. Give q(u(f)).\nAnswer: -4107*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 3266601?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 136501 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 1:59 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-24))\/(-4 + 8\/3). Factor 1\/4*i**2 + m*i**3 - 1\/4*i - 1\/4.\nAnswer: (i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 15, 1119 = 2*f - 5*j. Is 52 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-2)\/12 + 1\/5). Suppose 0 = 7*k - 12*k + h. What is the greatest common divisor of 54 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j + j)*(-4 + 4 - 2*j) + (-j + 1 - 1)*(-2 + 2 - j**2) + j**3 - j**3 + 3*j**3 + 16*j**3 - 4*j**3 + 7*j**3 + 0*j**3 + 3*j**3 - 5*j**3.\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z + 6. Let a be x(-4). Let m = 2 + -5. Let n = m - -5. Solve n*w - a = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8096.99 millilitres to litres.\nAnswer: 8.09699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2657010 divided by 22?\nAnswer: -1328505\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Suppose 28 = 2*i + 2*t, 4*i = -2*t + 6*t + 48. Suppose 6*h - z = 2*h + i, -2 = h - 2*z. Sort h, m, -5 in descending order.\nAnswer: h, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 14.2. Let p = t + -3. Let y = p + 3.7. What is y rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(10) - sqrt(30)\/sqrt(3) - sqrt(10)))\/(sqrt(40)\/(sqrt(8)*-1)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16 = -4. Suppose 3*k - p*n - 21 = n, 0 = 3*k - n - 21. Solve v - k = -2*o, 0*o = o + 3*v - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*l - 106*l + 3169 = -56 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1026*0.3.\nAnswer: 0.03078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 211\/4 + -53. Let y = 7 + -6.6. Let h = -0.4 + y. What is the nearest to h in c, -0.3, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((4 + (sqrt(6050) + -2)*5 + (sqrt(6050) - (sqrt(6050) - (sqrt(6050) + 2 + 3))))*2)**2.\nAnswer: -5227224 + 15840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y - 193 + 131 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/(s*(s\/((s*s\/(s*s\/(s*s**5\/s)))\/s*s*s))\/s)*s**1*s**5\/s*s)\/(s**6*s*s**(-6)\/s*s*s)**(-6\/11) assuming s is positive.\nAnswer: s**(133\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*g = 3*v - 11, -2*v + 6 = -2*g. Let f be (4 + v - -2) + -1. Suppose f*t + 18 = t. Let b(c) = -c**2 - 5*c - 4. Determine b(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 6. Let z be u(6). Suppose z = -9*q + 4*q - 1560. Is q\/(-14) - (-2)\/(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 21. Calculate the least common multiple of 246 and r.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11292983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1487+234\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6564, 7037, 8312, 10791, 14876?\n\"Answer: 67*f**3 - f**2 + 7*f + 6491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/2*(-20)\/(-5). Let w = q - -40. Suppose -11*g + 8*g + w = 0. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/2 - 25*a**2 + 386*a + 868 = 0.\nAnswer: -62, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -866*r**2 - 945*r**2 + 1800*r**2.\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0145 + -0.4855. Let r = -23 - -113\/5. Which is the nearest to 0? (a) m (b) 1\/8 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12591931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, v: 2, r: 3, h: 2, l: 6}. What is prob of picking 1 t and 1 v?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69534564901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -25*o**3 + 220*o**2 + 45*o = 0.\nAnswer: -1\/5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*a + 4*b = 0, -30 = -2*a - 4*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24219\/56511)\/((-1)\/175)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3570 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 71629617 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (-164)\/84)\/((-10)\/(-30)). Let u = -0.1 + -4.9. Which is the third smallest value? (a) u (b) o (c) -2\/5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 2*g = 23*d - 42*d + 116 - 28, 12*g = -4*d + 528 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/20)\/((-15)\/20)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f + 5. Let h be s(4). What is the highest common divisor of h and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a + 18. Let v be (-37)\/4 + 1\/4. What is the least common multiple of 5 and (30\/v)\/(a\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16032 - 0.26292. What is r rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 16) + -38 + -6 - 17\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**6\/840 - m**5\/420 + m**4\/84 - 78*m**2. Factor n(a).\nAnswer: -a*(a - 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -383 - -388. Which is the third smallest value? (a) 2\/69 (b) 0.4 (c) -0.4 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 6, -6, -38, -96, -186, -314?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*o + 20, -5*t = o + 114694. Let w = t + 34238. Round w to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - 1040\/(-140)*2\/4. Let z = 0.2 + -0.1. What is the smallest value in -8, a, z?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*1 + sqrt(216) - sqrt(216))\/(-3*sqrt(8)\/sqrt(4)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 21, 42, 71?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 999 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**6\/120 + s**5\/15 - s**3\/6 - 7*s**2. Let w be (-5 - 1)*(-12)\/(-18). What is b(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15314104?\nAnswer: 2, 13, 47, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 33. Let k(h) = 2*h + 22. Let m(n) = -7*k(n) + 5*w(n). Let t = -8 + 1. What are the prime factors of m(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 189638 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 26 - 9. Let o(j) = -j**2 - 6*j - 6. Let n be o(-4). Suppose n*h - 32 = -4*u - 2, 4*h = 2*u - 10. What is the highest common divisor of u and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52567 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0068 + 0.025989. What is k rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(144)\/sqrt(12) - 2*sqrt(75))**2.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 7*z + 4 = 0. Let u = -77.6 + 78. Sort z, -4, u in increasing order.\nAnswer: -4, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/11, -3\/4, 2\/7, -12?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 16. Let z be (-150)\/g*6\/5. Suppose -z = -v - v. Calculate the remainder when 28 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3 - -4) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*k + 11, 5*u = -3*k - 21 - 13. Let p = u - -10. Suppose -p*j + 85 = 2785. Round j to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270 - -409. Calculate the highest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, g: 5, c: 2, y: 9}. What is prob of picking 2 c and 1 g?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*v + 8, 0 = -4*v + 9*o - 10*o + 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.633 + -21.693. Which is the smallest value? (a) 2\/9 (b) w (c) 89\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/120 + c**4\/4 + 3*c**3\/2 - 4*c**2 + 11*c. List the prime factors of y(-7).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 14) to base 13.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14790 divided by 10?\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 4, -24, -10\/3, 1\/8?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/22*351\/(-1521).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5088 and 16?\nAnswer: 5088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 340 + -340.405. Let u = h + 16.405. Suppose 2*j + 0 + 8 = 0. Which is the nearest to -0.1? (a) -3 (b) j (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-9))\/((-5*20\/(-400))\/(6\/(-16)))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - 5*y**2 + 4*y - y - 2*y. Calculate t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(8)\/sqrt(2)*2) + (sqrt(27)\/(sqrt(486)\/sqrt(6)))**2.\nAnswer: 1\/3 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/30 and 25\/2106?\nAnswer: 10530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)\/d)\/d)**(-1\/30))**(-2\/9) assuming d is positive.\nAnswer: d**(-4\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7847519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 149953186 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, t: 4, h: 1, c: 3, n: 2, m: 2}. What is prob of picking 2 m and 2 t?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0 = 6. Suppose -w - z*u - 8 = 0, 2*u - 8 = -5*w + 4*u. Let s = -18 - -179\/10. Is s >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -21*f - 92. Let r be w(-6). Suppose 3936 = r*c - 416. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + (-1 + sqrt(180) - sqrt(180)))*-4)**2.\nAnswer: -192*sqrt(5) + 2896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - -2 - (1 + 1). Solve x*d - 26 = -2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.8 from 512.\nAnswer: 510.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 - 4 + 2*g + 3 - 5*g**2 + (-4 + 2 + 0)*(-g**2 + 0*g**2 + 3*g**2) - 5*g**2 + g**2 + 3*g**2.\nAnswer: -6*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561 = -3*i - 2*u - u, -2*i + 3*u = -364. Suppose 0 = 4*y - i + 69. What is the common denominator of y and -15\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.459058755 to 4 decimal places.\nAnswer: -0.4591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140 + 196. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.94235 millilitres in litres?\nAnswer: 0.05694235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -251d28 (base 15) to base 8\nAnswer: -6621045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/60 - w**3\/3 + 138*w**2. Suppose -2*b + 0*h - 3*h - 3 = 0, 0 = -b - 4*h - 9. Suppose b*c - 8 = -2. Determine f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00160763855 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/3)\/((-2)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggw. What is prob of sequence gw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -5*s + 4*d, -2*s + 1582 = -5*d + 1625 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2\/7, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -835, -826, -815, -802?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1383, 1324, 1225, 1086, 907, 688, 429?\n\"Answer: -20*u**2 + u + 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(36)\/sqrt(150))\/sqrt(2) + sqrt(432) + (sqrt(432)*1*4)**2 + sqrt(432).\nAnswer: 124*sqrt(3)\/5 + 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 1.1. Let t(h) = -17*h**3 - h**2 + 4*h + 4. Let r be t(-1). Let f = -0.53 + -2.47. Which is the nearest to m? (a) r (b) 2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i + 2. Suppose -51 = -3*v - 7*s + 3*s, -3*s = 9. Suppose v = -t + 4*t. Let n(b) = -9*b - 2. Give t*w(j) + 6*n(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*j**5 + 53120*j**4 - j**2 + 251111.\nAnswer: -1140*j**2 + 1274880*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9656.704nm in kilometers?\nAnswer: 0.000000009656704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 2 + 6 - 3 - 1 + (1 + 1 + 0)*(-2 + 3 - 2))*(726*w - 340*w - 330*w)*((-2 - 1 + 2)*(-2 + 2 - w) - 2*w - 2*w - w).\nAnswer: -672*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(3 + 6 - 1)*(h - 2*h + 6*h).\nAnswer: -120*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -11 + 13 - (-5 + 21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346060?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14006 and 17921241.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 bigger than -2859385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-11) - 10\/(-55). Suppose i = -o - 0*o - 2*y + 2, -3*o + 16 = -4*y. Solve 0*v + 16 = -o*j - 4*v, -4*j - 10 = v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 135260000 to the nearest one million.\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60585 to the power of 1\/2, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7327040187 to the power of 1\/3, to the nearest integer?\nAnswer: 1942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*3\/(-18)*-15. Suppose -i*t + 72 = -3*t. Suppose 5*l - 5*z - 30 = 0, -3*z = 5*l - 2*z - t. What is the least common multiple of l and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-8))\/h)\/h**(5\/6))**(-1\/11) assuming h is positive.\nAnswer: h**(53\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + z + 3)*(3 + 1 - 3) - 5*z - z + 16*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o - 37. Calculate l(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1 - (-5 + 1 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -84012723 and 141803.7?\nAnswer: 84154526.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyigc. What is prob of sequence igy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1909126 divided by -1\nAnswer: -1909126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 212?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.372 - -3.3. Round y to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 59160?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.092 - 0.09845.\nAnswer: -0.00645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/2859 and 31\/46626.\nAnswer: 44434578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 - 103*r - 151. Let a be t(22). Solve 4*n + 0*n - 11 = v, -2*n - a*v + 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/306 - 2\/51. Let a be 4\/8*(-4)\/(-18). Let v = a - l. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5944531?\nAnswer: 37, 160663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 + 150*o**3 + 525*o**2 + 100*o - 780 = 0. Calculate o.\nAnswer: -26, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7907*g**2 + 53*g - 248. Let w be s(7). What is w rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -41 - y**2 + 31*y + y**2 - 2*y**2 + 40. Let c be d(15). Which is bigger: 29\/2 or c?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7117.\nAnswer: 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -3) + (-63)\/36. Factor -1\/2*k + q*k**2 + 1\/4.\nAnswer: (k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1394.7 + -1395. What is the nearest to 1\/3 in -0.01, 4, t, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -n + 6, -2*n - 5*w + 14 + 2 = 0. Let v(y) = -y**3 - 3*y**2 - 3*y. Let k be v(n). Let i = 4 + -5. What is the second biggest value in 4\/5, i, k?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taiztiicctitcicicccc. What is prob of picking 1 a and 1 z?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 7 - (1356 - 1363)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 10, -3*g - 3*v - 15 = 6. Suppose -q + 3 = 1. Let z(n) = -n**2 - 6 - 2*n**2 - 6*n + 2*n**q. Give z(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -128, -230, -332?\n\"Answer: -102*t + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*v - 40. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -61a (base 12) in base 14?\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -1.36, 2, 0, 1?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j*j**4*j)\/j*j*j)*j*j)\/(j\/(j\/((j\/(j**(1\/2)*j*j)*j)\/j))))\/((j*j**(-6)*j)\/(j\/(j*j**2*j))))**(-15) assuming j is positive.\nAnswer: j**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66797?\nAnswer: 66797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7480 * -32297.\nAnswer: 241581560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -6. Let m be 2\/j*1*-72. Let t be (-2)\/(-5) + m\/(-15). What is the nearest to 1\/4 in t, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85293 and 66339?\nAnswer: 597051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/4 - (5 + (-126)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*c*s**5 + 2*c*s**3 + c*s + 8*c - 2*s**3 wrt s?\nAnswer: -1680*c*s**3 + 12*c*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160068 is divided by 60?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l + 4*x + 116, -l - 35 + 12 = 4*x + x for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 659605.508 rounded to the nearest one thousand?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 8 = -5*a. What is the third derivative of n**2 + 5*n**2 - 3*n**a - 6*n**5 wrt n?\nAnswer: -360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 2233, 5026, 8937, 13966, 20113, 27378?\nAnswer: 35761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y**2 - y - 1. Let t(j) = -7*j**2 + j + 1. Let i(n) = -6*o(n) - 5*t(n). What is i(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 2*m - 3*m - 18, 2*j - 6 - 29 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 612832594 and 557120540?\nAnswer: 6128325940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 - (-1 - (-2 + 1)). Suppose -4*k + 3 = -r. Suppose 4*q - 18 = -l, -3*q = -k*l - 4*q + 27. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*k**3 - 6 - 807*k**3 + 6 + 406*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000142205 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 242852 from 0.\nAnswer: -242852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2057)*-1)**2 + 3 + -4 - (6*sqrt(102)\/sqrt(54) + (sqrt(17) - sqrt(544)\/sqrt(2)) + 5)**2.\nAnswer: 10*sqrt(17) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38181391 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69889626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 388086.4 micrograms in milligrams?\nAnswer: 388.0864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15634588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 16*s**2 + 2*s - s to the form z + y*s**2 + a*s and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 210331122 (base 4) in base 8?\nAnswer: 447532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82a6 (base 12) to base 13.\nAnswer: 6633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 331691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 7:49 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -10*p**3 - 15*p**2 - 52*p + 47. Is t(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -21750154 and -0.1.\nAnswer: 2175015.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 + 0 + 0)*(-2 + 1 - 1) - 449*c + 2*c**3 + 449*c + 9 + 4*c**2 to the form i*c + l*c**2 + f + q*c**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1366.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 44*q. Let v(i) be the second derivative of i**6\/180 - i**3\/6 + 15*i. Let p(t) be the second derivative of v(t). Give b(p(x)).\nAnswer: 88*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 672 + 2765*x**4 + 5091*x**4 + 4927 + 2054 wrt x?\nAnswer: 31424*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 21 - 17 - -17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -13. Let r = -4 - -9. Let l be (3\/r)\/((-2)\/5). Put 0.1, l, f in ascending order.\nAnswer: l, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656472 - t**2 + 17*t**3 + 656188 + t**2 - 1312660.\nAnswer: 17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-4572)\/288 - -17)\/(3\/88)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n + 10. Let q(p) = -2*p - 7. Suppose 3*a - 13 = -4. Suppose 4 + a = -s. Calculate s*q(y) - 5*v(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 25*l**2 - 3*l - 13*l**2 - 11*l**2 + 2. Let p be o(2). Solve p*q = -2*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ssgs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 7*j**3\/6 - 5*j**2\/2 + 492*j + 1. Suppose -4*l = -l + 12. Let o(d) = 6*d - 4. Calculate l*o(w) + 3*h(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + 6203. Suppose -11*m + 60 = -m. Suppose 0 = -m*i + 3858 + z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3774 - 5633 = 2050*t + 13143 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 + -10011011100101010111?\nAnswer: -10011011100100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -4. Suppose -2*t + d*t = i + 46, -t = -i - 16. What is the remainder when t is divided by (1 - 3)\/(5\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 2*r**2 - 7*r - 4*r**2.\nAnswer: -6*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h = -4*m - 17*h + 6, -2*m - 4*h - 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8553, -19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 7 + 18. Let n be 0 + m*(1 + 0). Solve -p - 4*g = -n, p - 2*g - 2*g = -21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**3 + 0*m**3 + 24*m + 3 - m**2 + 14*m**2. Let l = 442 + -459. Let s be i(l). Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1669 = -65*w + 1604 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from ypr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Suppose -5*n = -2*k + 43 - 7, -k = n - 11. Calculate the remainder when k is divided by (10\/(-3))\/(c\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 + 71. Find the second derivative of -27*f + 198 - 199 + 3*f**p + 2*f**2 - f wrt f.\nAnswer: 36*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, -6, -4, -0.14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 235578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**2 + 2446655*k + 97858200 = 0.\nAnswer: -489291, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124 times 0.4?\nAnswer: 0.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, s: 6}. What is prob of picking 3 q?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3 + 2*z)*(-5 + 5 + 3*z).\nAnswer: 6*z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1619930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 - -107. Let o(y) be the second derivative of -1\/12*y**4 + 0 + 0*y**3 - 1\/5*y**5 - 6*y + 0*y**k. Find the third derivative of o(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*a**2 - 4*a**3 + 3*a**2 + 2*a**2 to the form l*a + n*a**3 + q*a**2 + j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 630 and 345?\nAnswer: 14490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700 = -4*k + 2*j - 728, -k = k - 2*j + 12 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -303, 1, 5, -136, -6 in descending order.\nAnswer: 5, 1, -6, -16, -136, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -252 and 0.047941087149.\nAnswer: -251.952058912851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from {s: 2, b: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a - 1\/45*a**5 + 1\/315*a**7 + 1\/504*a**8 + 1\/9*a**3 + 0 + 1\/36*a**4 - 1\/90*a**6 + 2*a**2. Factor f(n).\nAnswer: 2*(n - 1)**2*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eppespebeppbespbp. Give prob of picking 1 b and 1 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/((-12)\/504*6) + 5246\/(-728) and 29\/728?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(6\/4)\/((-600)\/2600)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47.9 - -46. Let o = l + -0.1. Which is the second biggest value? (a) 4 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6137 and 19060800?\nAnswer: 324033600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2054, 4652, 7250, 9848, 12446?\n\"Answer: 2598*s - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 259*c**5\/30 + c**4\/6 + 1040*c**3\/3 - 235*c**2. What is the derivative of v(k) wrt k?\nAnswer: 1036*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3229 = u + 2*u, -p - 2151 = -2*u. What are the prime factors of u?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 713 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.81875l?\nAnswer: 6818.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f**2 - 20*f**2 + 16*f**2.\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 48048679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 419, -22\/9, 5, -1\/2, -0.4.\nAnswer: -22\/9, -1\/2, -0.4, 2, 5, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-9)\/(45\/2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6 - 3 + 16 + 0 + 5 + 463*k. What is the hundreds digit of g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399831 + 269.\nAnswer: 400100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*k - 14, -k = 8*j - 4*j + 10. Is 40 a factor of (-4 + k + 2)*1281\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j**3 + 5*j**3 - 12*j**3 + 5*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14700458 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 185. Suppose 0 = 14*f - 118 - 484. Let o = z - f. Calculate the remainder when o is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, -16, -48, -82, -118, -156?\n\"Answer: -f**2 - 27*f + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 9*j + 5*j)*(-3*j + 3*j + j**2).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:47 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*22610\/190\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30*(-13)\/(12 + -363)*-2\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 27*(-2352)\/(-39240) + 8\/(-5)\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**2 + 11*r - 45. Let j(i) = -4*i**2 - 7*i + 30. Suppose 51 - 71 = -4*g + 2*a, 0 = -5*g - 2*a + 25. Determine g*t(z) + 8*j(z).\nAnswer: -2*z**2 - z + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 - 25. Let y = -40 + f. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 9*x - x + 0*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.649 - 1.351. Let g = 2\/5 + 1\/10. Which is the nearest to 2? (a) s (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 37669541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -5)\/(54\/10638). What is the biggest value in -0.5, 3, -1\/5, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-750)\/9*(-2)\/3705. Let s = -16013\/77805 - g. Let o = 1\/35 + s. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in 9, -2\/19, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.053958.\nAnswer: -0.0161874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*p - 10, 0*p + 7 = -4*p + 5*u. Let i be p\/6 + (-726)\/(-144) + -5. What is the nearest to 2\/5 in 1, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) + 87\/(-9). What is the common denominator of (-62)\/(-4)*(-3)\/(-15) and (-4)\/u + 173\/(-45)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 12, -1 = -3*y + 2*j + 9. Let p be 0\/(-2) - (3 + 0). Let c = p + y. Solve -3*h = -o - 11, -h - 2 = c*o + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12*(-309)\/(-30))\/(486\/(-22680))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 39 + -40 - (-1 + 7)) + 43\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -29, -12, 13, 46, 87?\n\"Answer: 4*l**2 - 3*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*j = 159*j + 26 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.31330232 to four decimal places.\nAnswer: 0.3133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**14\/v)\/((v\/((v\/(v**10*v)*v)\/v))\/v*v*v))\/((v**(-8)\/v)\/(v\/v**(-15))))**(-1\/34) assuming v is positive.\nAnswer: v**(-13\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - b + 6038 = 0, 34672 = 4*z + 5*b + 10523. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-1\/16))\/k*k**(-28))\/(k**(-3\/20)*(((k*(k\/(k\/(k\/k**(-32\/3))))\/k)\/k)\/k)\/k))**(-21) assuming k is positive.\nAnswer: k**(61243\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170 - 84. Let h = 88 - b. Calculate the smallest common multiple of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22012 (base 6) in base 5?\nAnswer: -44112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -914053603\nAnswer: 914053608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 9*t**2 + 0*t - 3\/8*t**4 + 0*t**3 + 0. Let s(g) be the third derivative of 5*g**4\/24 + 2*g**2. Give -4*l(a) - 7*s(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0986 rounded to 1 dp?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a + 20 = 0. Let u be 5 - a - 2*-1. What is the second derivative of -v**3 - 2*v**u - 6*v + 5*v wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 64248714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -21*d - 34. What is x(6)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/5 + 1754538*s**3\/5 + 350907*s**2.\nAnswer: 3*s**2*(s + 1)*(s + 584845)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8971*v - 8963*v = -24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -42. Let u = j + -53.0000019. Round u to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 36. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8839239, -8839238, -8839237, -8839236, -8839235?\nAnswer: -8839234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 8*q - 1. Suppose 51*t = 37*t - 98. Calculate i(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 7. Let k be w(5). Suppose 4 = k*u - 2. Suppose 5*q + 4 = -3*o - 5, 0 = u*q - o - 3. Which is greater: q or -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -0.0318.\nAnswer: -0.2318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025931617 rounded to 6 dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44894631 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 w(h) = h + 14. Suppose 0 = -2*l - 3*l + 2*c - 68, 64 = -5*l + c. Let v be w(l). Factor 0*p - 2*p - 2*p**3 + 6*p**v + 0*p**2 - 2*p**2.\nAnswer: -2*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3619432969.\nAnswer: 239, 15144071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-39) + (-182688)\/(-78) + 0. Is 18\/9*1*w\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348*g**3*h**2 - 12*g**3*h + 8*g**2*h + 347*g*h**2 - 548*g*h wrt g?\nAnswer: -2088*g*h**2 - 72*g*h + 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 160*p**2 - 4*p - 140. Let q be f(-9). Suppose 3*s - q + 1654 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 46 + 34*d.\nAnswer: 34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 305516098?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -5 in descending order.\nAnswer: -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 84, -5, 2, 4, 70 in ascending order.\nAnswer: -5, 2, 4, 5, 8, 70, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 - 3*y**2\/2 + 20*y + 42.\nAnswer: -(y - 6)*(y + 2)*(y + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2\/6 - 6440790*m - 12445132747230.\nAnswer: -5*(m + 3864474)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-12 - (1 + 0) - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -326 less than or equal to -326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185959\/3 + 61989. What is the common denominator of t and 0 + (-24)\/(-22) + 1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 770 + 12\/(-9) + 8\/6. What is the greatest common factor of 35 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5813405.894 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**4 - 8753250*x**3 + 6972*x**2 + 6*x - 7 wrt x.\nAnswer: 48*x - 52519500","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 1\/4, -3, -41, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 2*m**3 + 143050 + 10*m - 143069 + 9*m)*(4*m - 3*m + 0*m).\nAnswer: 2*m**4 - m**3 + 19*m**2 - 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 + 10*b - 1. Let n(c) = c**2 + 1. What is h(j) + n(j)?\nAnswer: -j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - i + 0 - 14 = 0, 0 = -2*r - 3*i + 9. Let o be ((-735)\/(-18) - -2)*r. Let h = o - 1033\/8. Calculate the common denominator of 11\/2 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 47. Let j be i(-22). Suppose -193 = -j*a - 22. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + 2. Suppose g = o - 9. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 12, 4, 7, -2 in increasing order.\nAnswer: -5, -2, 2, 4, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 40*t - 33 = 0. Solve t*o + 2 + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*p**2 + 358*p**2 - 177*p**2 + (-6*p + p + 4*p)*(2*p + p - 2*p) to the form w*p**2 + q + r*p and give w.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 48*a**2 + 627*a + 10. What is x(-14)?\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39573 and 26229?\nAnswer: 1037960217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 22 + -494677?\nAnswer: -494655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 45 = -0. Let u(p) = 3*p + 8. Let t be u(-4). What is the lowest common multiple of k and 3 - t - (-5 - -1)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198 - 65. Let a = u - 126. What is the fourth smallest value in a, 0, -0.2, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 2918593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 115904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -841, -1234, -1625, -2014?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -16*w**2 - 58*w + 53. Let t(n) = -3*n**2 - 1090 + n**2 - 1086 + 2175. Let a(b) = -2*r(b) + 14*t(b). Factor a(h).\nAnswer: 4*(h - 1)*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89640 divided by 3320\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y. Suppose -k + 3 = -y. Suppose 4*n + c = 7, -n + 0*c + k*c + 18 = 0. Calculate the smallest common multiple of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -455*v + 75552. Calculate h(166).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 9*u - 4*u. Let d be y(-8). Suppose 0 = 3*i - 5*i + d. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14726880 by -4.\nAnswer: 3681720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 16. What is the least common multiple of 3 and b(-34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n. Let f(z) = -297*z. Let v(l) = -37*l. Let x(b) = -4*f(b) + 33*v(b). Give x(h(u)).\nAnswer: -66*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.76 and -2659.\nAnswer: 12656.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 2*s**3 + s**2 + (2*s**3 - s**3 - 3*s**3)*(0 - 2 - 2) + s**3 + s**3 + s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6*-370853\nAnswer: -2225118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 0. Let m = -0.55 + 0.488. Let i = m + 5.062. Which is the nearest to -0.1? (a) 4 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/20*(-40)\/6. Let q be (850\/o)\/1 + (-12)\/48. What is the hundreds digit of 1*q + 4 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 148811 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 7*a - 108 = -16*a, 3*o = 5*a + 39 + 63 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7.367781s?\nAnswer: 0.12279635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 211251314629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -144\/7 + 12\/7*o + 2\/7*o**2.\nAnswer: 2*(o - 6)*(o + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-20)\/5)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6075 + 6074.9. Let d = -13.4 + 13. Which is the nearest to 0? (a) -1\/3 (b) i (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-63)\/(-3 - 0). Let i = t - 16. Solve o = -i*o - 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*a + 2*a + 4, 2*u = 4*a + 2. Let z be (u - (-50)\/(-15))*-6. Suppose -2*h - 5*d + 53 = -21, -28 = -h + z*d. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.487 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 4, -32, 67 in descending order.\nAnswer: 67, 4, -1, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 7*o**2 + 2*o + 2. Let y be s(7). Let w be 24\/y - 1\/2. What is the nearest to w in 3, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-3 + 7) - 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k**2 - k. Let a(p) = -8*p**3 + 7*p**2 + 7*p. Let z(v) = 9*v + 8. Let m be z(5). Let q = -25 + m. Determine q*y(f) + 4*a(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 3*z**2 - 2*z + 1. Let i be s(3). Let k = 4.665 + 0.575. Let q = k + -4.74. What is the smallest value in 0.02, q, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42.1 + 6.2. Let u = k + 3.9. Let n = u + 31.9993. Round n to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-56001.\nAnswer: -336006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 0.89 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q - 3. Let r be f(3). Let m be 1\/((5 - r)\/(-6)). Let w = m + 1. Which is smaller: w or -9\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/4)\/(1246\/(-178)))\/((-12)\/4128)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r - 4*n = 8, -5*n = 3*r - 45. Which is greater: 32 or r?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/((-40)\/4640)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2, -4, -1\/2942, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -8. Let d = -27 + 34. Suppose d = -m - 0*m + 2*r, 2*m = 2*r - 14. Is b > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 4*c**2 + 3*c - 3. Suppose 2047*q = 2043*q + 1512. Let i = 375 - q. Calculate k(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45433, 87687, 129941, 172195, 214449, 256703?\n\"Answer: 42254*i + 3179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/464 and 17\/4872?\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58520 divided by -55.\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opooyopwdyhoyyh. Give prob of sequence hp.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6490 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 649 * -13498.\nAnswer: -8760202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*y = 152, 2*m + 0*y + 5*y = 85. What is the remainder when m is divided by ((-18)\/4)\/(63\/(-168))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g + 294. Determine s(-42).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11832 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(0 + -2)*1. Let a = d + 31. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) + (sqrt(77)*-3 + sqrt(77) + sqrt(77) + sqrt(77))*-6 + sqrt(77)))\/(1*sqrt(1100)*4).\nAnswer: -3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1123527 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*l - 9, 4*t + 7 = -5*l - 5. Which is the fourth smallest value? (a) -0.3 (b) t (c) 3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in 0, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 3\/(1 - 4). Let h = f + 2. Suppose -n - h + 4 = 0. What is the remainder when 8 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1, 0, 8 in ascending order.\nAnswer: 0, 1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 97*p + 18. What is a(18)?\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518010928?\nAnswer: 2, 349, 92767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/7 and 231772 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*d**2 + 605*d - 605*d + (1 - 2*d - 1)*(-5*d + d + 3*d) in the form z*d**2 + r + k*d and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 363 + -0.5.\nAnswer: 362.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 2014*z - 521240. Calculate q(-305).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*2*sqrt(110) + (sqrt(110) - (sqrt(110) - (sqrt(110) + -5*1*sqrt(110) + sqrt(110)))))\/(sqrt(40)\/(-6*sqrt(28)\/sqrt(7))))**2.\nAnswer: -116424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001 + 11101011?\nAnswer: 100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3)*(-6)\/2. Suppose 0 = 5*o + a + 28, 8*o + 5*a = 3*o - 40. Put o, 1, p in ascending order.\nAnswer: o, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 22*k - 15. Determine j(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(-2))\/f)**23)**35 assuming f is positive.\nAnswer: f**(-805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from arahonj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u. Suppose 3*x = 3*s + 51, -2*x - 3*s + 4*s = -36. Let d(g) = g**2 - 19*g + 18. Let i be d(x). Let m(a) = -16*a - 3 + i*a + 3. Give p(m(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 6*l - 2*l. Suppose m = -5*t + 45 + 69, 4*m = 5*t + 381. Calculate the lowest common multiple of l and m.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -3\/2*a**2 + 0*a + 14 - 7*a**3. What is the second derivative of d(k) wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 331 - 333.86. Let k = 2.859999348 + p. What is k rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from maaabmmamummmmbbmbm.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**2 + 0 + 2\/3*g**3 + 2*g - 1\/12*g**4. List the prime factors of u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*d - 42*d = 129. Let w = d - 8. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 45 = -0. Let i be (-4)\/14 + 44\/14. Let v = i + -107\/35. Which is the closest to 0? (a) q (b) v (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**4 - 2*x**3\/3 + 4*x - 1. Suppose 2*i = 4*i - 156. Let c = i + -77. Let k(f) = -f**3 + f**2 - 1. What is c*z(b) + 2*k(b)?\nAnswer: 2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*x + 3*o + 10, -4*o = -5*x + 20. Suppose 2*n - 2 - 2 = x. What is the lowest common multiple of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 3*n - 22*n - 117 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*w**2 - 4015*w - 1610.\nAnswer: 5*(w - 161)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 660119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 - -169.243. Let m = -0.242737 + p. What is m rounded to five decimal places?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -3*q - 581. What is the units digit of q\/(371\/126 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250766196 and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + j = 0, -2*j = -4*j - 4. Let a = -1 - n. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.1 - -0.1. Let i = m - -10. Let v = 3 - i. Is v less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-4\/7)*(g\/(g*g\/(g**(-11)\/g)*g))\/g)\/((g\/(g\/(g\/(g\/g**(-10)))))\/(g\/(g*g**(3\/10)\/g*g))) assuming g is positive.\nAnswer: g**(-261\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 8:36 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*((4 - 5 - 1)*(-5*r + 3*r + 0*r) - r + 0 + 1 + 2).\nAnswer: -3*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 7:35 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*c - 88 = -c, -16 = 4*c. Let h(b) = -b**3 - 3*b**2 - 9*b - 19. Let i be h(-4). Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-45)\/(-24)*8*30\/820 and (108\/(-10))\/((-4)\/(-15))?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*q + 311*q + 14 = -3*m, -2*q = 3*m + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**6\/360 - 25*y**3\/6 + 60*y**2 + 2. Let r(p) be the first derivative of s(p). Let n(q) = 89*q - 1. Determine n(r(w)).\nAnswer: -89*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 90828*d + 90830*d + 31, 5*y + 7 = d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 14*h + 27. Let u be y(12). Suppose o - 8 = 5*o, u*o = 2*i - 66. Solve -i = 5*s + 3*z, s - 4*z - 7 = -2*z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/3)\/((-70)\/28). What is the third biggest value in a, 0, 2\/17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -2*r - 28. Calculate the greatest common divisor of r and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 29 + 17 = 0. Let f = v + 37. Let p = -12 + f. Solve -p*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -1\/2410?\nAnswer: -1\/2410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -29*i**3 - i**2 + 9*i - 25. Let n(t) = -86*t**3 - 3*t**2 + 26*t - 74. Let j(l) = -17*c(l) + 6*n(l). Find the second derivative of j(f) wrt f.\nAnswer: -138*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1912, 3856, 5798, 7738, 9676, 11612, 13546?\nAnswer: 15478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/12 - 29*x**4\/24 - x**3\/3 - 39*x**2 + 78. Let w be 52\/6 - (-4)\/(-6). What are the prime factors of i(w)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/498 and 73\/36?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*b - 1578 = -1659, -2*b = -4*s + 62. Solve s*y - 75*y = 224 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(2\/3))\/o)**(-2\/121))**(-48) assuming o is positive.\nAnswer: o**(-64\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 311 + -303. Let g(d) be the third derivative of d**4\/24 + 11*d**3\/6 + 4*d**2. What is g(q)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 566 divide 30088367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250245 divided by -5.\nAnswer: -50049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -612.333 + 618.9. Let n = o - 12.87. Let m = 0.003 + n. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-6 - -2))\/(-2). Let k be 9\/6*(-28)\/(-6). What is the lowest common multiple of 4 and (k - -3) + i + -5?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -461, -0.3, -88, -6\/5 in descending order.\nAnswer: 0.4, -0.3, -6\/5, -88, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shh when three letters picked without replacement from {s: 5, h: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 103?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1510 - 1509.9997409. What is h rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.042 equal to -1\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 110. Let j = -11 - p. Sort -14, j, 1.\nAnswer: -14, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -4. Let r = i - 1. Solve -5*l - r = 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbvkkkkkbbkbb. What is prob of picking 2 k and 1 v?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-5) + (-4)\/(-10). Let n(l) = -2 - 3*l + 4*l**2 + 35*l**2 - 440001*l**3 - 41*l**2. Let o be n(r). What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/20)\/((-1)\/30 - 0). Let m be 2 - (-3)\/15 - 3\/y. Suppose -4*c = -3*p + 22, -m*p - 3*c = -4*c - 8. Solve -3*l - 7 = p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e6 + -2?\nAnswer: -5e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -63756, -63857, -64036, -64293, -64628?\n\"Answer: -39*n**2 + 16*n - 63733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8119162*j - 7444980 wrt j?\nAnswer: -8119162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15498, -30872, -46246, -61620, -76994, -92368?\n\"Answer: -15374*s - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - j + j)*((-2 - 3 + 2)*(0*j - j - j) + 0 - 3*j + 0) - 20 + 11 + 8 - 7*j**2 in the form d*j**2 + p*j + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 - t. Let w be x(-1). Let n be 90\/40 - (-1)\/(-4). Let j(c) = -n + 4*c - 1 - 6*c - 3*c. Let z(u) = 14*u + 8. Give w*z(s) - 11*j(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028834543 rounded to 5 decimal places?\nAnswer: 0.02883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 35*f**2 - 504*f - 4131. Give o(-8).\nAnswer: 2141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -12*o**3 + 2*o - 1. Let c be z(1). Let q = c - -21. Suppose -2*j + q = 3*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6338440 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 56 - 804. What are the prime factors of x?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/1308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -4b82?\nAnswer: -4b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = o + 4*y, -5*o + 7*o + y + 2 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 54\/419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -3. Let s = 18 + v. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x + 13 - 57 = 67*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*x. Suppose 2*q = 3*q - 92. Let y = 98 - q. Solve x*n - y = -0*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/18 + (-13849545)\/432. Let y = 32058 + x. Let b = 111487\/12 + -9279. Calculate the common denominator of b and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:04 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348543?\nAnswer: 3, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 144511584 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 less than 175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n - 19. Let g be q(-4). Let c = -7 + g. What is the biggest value in c, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 5 (c) 11433 (d) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 199803931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4357, 6006, 10485, 19210, 33597?\nAnswer: 55062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*c - 289 = -475 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**2 - 6*z + 5. Let t(r) = -18*r**2 + 13*r - 8. Let q(m) = 37*m**2 - 27*m + 16. Let v(k) = 4*q(k) + 9*t(k). Give 8*h(x) + 5*v(x).\nAnswer: 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -2976280?\nAnswer: -2976284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -70, -1\/6, -2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -8. Let x be (0*z\/4)\/1. Suppose -3*w - 20 = -4*p - 6*w, 5*w - 20 = x. Solve -p + 17 = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2) + (-225)\/6. Let h = 192\/5 + m. Let v = 2 - -3. Which is the nearest to h? (a) v (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-5)*(-7670)\/3540.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3.14, -4, 0.5, 36 in descending order.\nAnswer: 36, 0.5, -3.14, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13641 is divided by 4518?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let w(j) = -2*j - 6. Let v be 2*5\/(15\/(-6)). Let o be w(v). Sort 4, o, i.\nAnswer: i, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-104180)\/5*(-375)\/300.\nAnswer: 5, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {z: 1, b: 1, q: 1, p: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3907337, 3907443, 3907621, 3907871, 3908193?\nAnswer: 3908587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 - 1029*q**3 - 1014*q**2 + 4116*q + 4104 = 0. What is q?\nAnswer: -342, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3*(-30)\/4. Let o = h + 4. Suppose -16 = -5*n + o. Calculate the highest common factor of 55 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 422604 and 645.\nAnswer: 2113020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 149b?\nAnswer: 149e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 998 and 1862268?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, w: 2}. Give prob of sequence wkw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182282*b*s**6 - 237*b*s**5 - 7*b*s**2 + 4320527*b*s wrt s?\nAnswer: 21873840*b*s**3 - 14220*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 3. Let f(r) = 3*r + 1. Let d be f(1). Is i(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + 802*v**2 - 3957*v - 6. Give t(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + n - 95*n**2 - 185*n**2.\nAnswer: -280*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11567 minus -2057162.4?\nAnswer: 2045595.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 345*g + 8977. Calculate x(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*d + 15, 0*u + 3*d - 9 = 3*u. Let g be u + 4 + 237\/(-63). Let p = -53\/42 - g. Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*24\/45.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.265 + 0.365. Let x = -405.3 - -405. Put -3, j, x in descending order.\nAnswer: j, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666 = -34*b - 870 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 912936*x**2 - 1825869*x + 912934.\nAnswer: -(x - 912934)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.52 from -10.7597592.\nAnswer: -1.2397592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.36164 - -0.07164. Let m = p + 36. What is m rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y**2 - 10*y - 1. Let g be ((-4)\/5)\/(1*(-6)\/15). Calculate the remainder when r(g) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -17676?\nAnswer: 11\/17676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -107423*p**2*z**2 + 34*z**2 + 4502 wrt p?\nAnswer: -214846*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 4*y**2 + 2*y**3 + 2*y**2)*(-3*y - 10 + 10).\nAnswer: -3*y**4 + 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17879)\/(-114) - 2\/24*-2. What is the derivative of 22180*v**2 - 295*v**3 - 22180*v**2 - f wrt v?\nAnswer: -885*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**15*o))**(3\/11))**(-2\/131))**(2\/57))**(7\/5) assuming o is positive.\nAnswer: o**(84\/27379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/5 - 4338*g\/5 - 1568187\/5 = 0. What is g?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**3 + 5*g**2 - g - 3. Is c(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*t - 175049, 58348 = -22*b + 23*b + t. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12026 - 15098 = 96*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/5)\/n**(-2)*n**(2\/5)\/((n*n*n**(-2\/11))\/n) assuming n is positive.\nAnswer: n**(76\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 12*x - 74*x**4 - 498020*x**3 - 136*x**2 + 497757*x**3 + 32*x + 9*x**5 = 0.\nAnswer: -2, -1, 0, 2\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42986 = -76*j + 70026. List the prime factors of j.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*d - 219*d - 176*d to the form g*d + p and give g.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/12 + 12\/9. Let y be (-4500008 - -9) + w\/(-2). Round y to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/((-2)\/8). Let d be 166\/(-3*c\/(-6)). Let q = 265 + d. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*t = a + 29, 137 = 4*a + 5*t. Let j be a\/3 - (-1 - -5). Suppose -j*p + 26 = -79. What is the remainder when 44 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421210469 to the power of 1\/3, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2734599 litres in millilitres?\nAnswer: 273.4599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -271132*n**2 + 257569*n wrt n.\nAnswer: -542264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.411 - 0.211. Let l be (-4)\/(-6) + 26\/(-48). Let i = 5\/42 - 2\/7. What is the closest to i in l, n, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -938 divided by 122?\nAnswer: -469\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 6520.81926 to zero dps.\nAnswer: 6521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/16)\/(3\/(-30)). Sort v, -3, 2, 9 in increasing order.\nAnswer: v, -3, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, q: 4}. What is prob of picking 3 q?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, q: 9, h: 2}. Give prob of picking 1 h and 1 q.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 980826 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27134301923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-108)\/189 + (-114)\/(-28). Solve 3\/2*i**3 + 5\/2*i - 1\/2 - x*i**2 = 0 for i.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/16 and -19\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 46*l**2 - 95*l + 9. Let u(n) = 49*n**2 - 117*n + 10. Let w(d) = 5*i(d) - 4*u(d). Calculate w(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10218 and 1834?\nAnswer: 71526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29\/5 of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -75. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r + 3*r)*(-2*r**2 + 2*r**2 + r**4).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8308397, 8308393, 8308389, 8308385?\nAnswer: 8308381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + -12 + (-4)\/(-1). Suppose -4*u = 6 - 22. Solve -3 + 11 = -n*k + u*x, k + 6 = 5*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t - 1. Let b(g) = -38*g + 1068. Determine -b(a) + 6*s(a).\nAnswer: 2*a - 1074","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, q: 6, l: 4, k: 1, y: 1}. What is prob of sequence qkll?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttppvtttpjivvbvvvt. Give prob of sequence pipp.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 3*r**2 + 9*r + 1. Let x be b(-5). Solve 3*h - 4*o - 3 = -1, 2*h = -2*o + x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/45*2\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 23*g**2 + 5. Give v(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.984 times 3?\nAnswer: 5.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-12) - 50\/(-12) - -244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77631416 to the power of 1\/2, to the nearest integer?\nAnswer: 8811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14 + 3 + 16*z - 7*z**2 + 6*z**2. Let i be m(17). Let y(l) = l**2 + 3*l**2 - 6*l**2 + l**3 - 1 - 2*l + i*l. Calculate y(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90141698489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 1005*y**3 - 31500*y**2.\nAnswer: -3*y**2*(y + 35)*(y + 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 + 261*w - 18*w**3 - 5*w + 7*w**3.\nAnswer: -4*w**3 + 256*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)\/(g\/(g**(-3)\/g)))**(4\/15) assuming g is positive.\nAnswer: g**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 = -4*u - 5*k, -8*k + 4*k - 493 = 5*u. Let x = -11 - u. Calculate the remainder when x is divided by 36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 306827\/4 in ascending order.\nAnswer: 1, 5, 306827\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -213, -664, -1425, -2496, -3877?\n\"Answer: -155*i**2 + 14*i - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15446 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24080 divided by 140\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*q**2 + 2880 - 48*q = 0.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, -0.1, 7244, 3, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. Let b = 0.16 - -0.04. What is the biggest value in -3\/5, b, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 1 f when three letters picked without replacement from {e: 1, u: 1, f: 1, k: 1, i: 1, q: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 0*w + 4*w)*(56 - 13 - 19*w - 42) to the form v*w + q*w**2 + h and give v.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-28)*70\/(-460).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10, -60, 3.6, 2\/11, 2\/7, -7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-1 + sqrt(84) - sqrt(84))*1)\/((sqrt(432) + sqrt(12))*-2)*-5 + 3.\nAnswer: -5*sqrt(7)\/14 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -3, 1\/7, -216.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 7235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 119, 125, 133, 143, 155, 169?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 333.5854 to one decimal place.\nAnswer: 333.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -590 + 590 + 29*y.\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (20 - (-25 - -10)) - 27.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -900.1 and -2.\nAnswer: -902.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1898 * 72954\nAnswer: -138466692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 10*y + 3. Let w be h(-9). Let j = w - 10. Solve 4*q + s - 5 = 2*s, 4*q - 6 = j*s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 70*g**2\/13 - 40032*g\/13 - 352 = 0. Calculate g.\nAnswer: -4\/35, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(0 - 1 + 3 - 1 + 2 + 0 + (3 - 3 + 1)*(0 + 2 - 1))*(q**3 - 6*q**3 + 2*q**3).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvavvvvvvvvv. What is prob of picking 2 v?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 3*o)*(0 + 0 - 1) + 3185 - 1639 - 1631 + 2*o.\nAnswer: o - 85","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 17627 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 188 - 178 = 0. Solve -3*a + 2*d + 11 + 12 = 0, -j*a + 2*d + 18 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1 - 0) + 1. Suppose -2*u + 3 = 3*m, 3*m + k*u + 4 = 7*m. Suppose -p = 2*z + z - 4, 0 = -z - 2*p + 8. Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18147*v + 11325*v + 12031*v in the form z*v + f and give z.\nAnswer: 5209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -1 - -2 - 1. Suppose 2*m - y - 1 = 0. Is m less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50072537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146803 is divided by 622?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8*i - 91 = 0. Suppose -i*m - 232 = -6914. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*d + 5, 0*y + 5*d = -5*y + 75. Suppose -y*o = -160 + 990. Which is greater: -84 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-6))\/(2\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**7\/504 + 5*a**4\/24 - 3*a**2. Let o(b) be the second derivative of v(b). Let y(t) = t**2 - t**2 - t**2. What is o(y(c))?\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 3*n + 20. Let f be y(3). Suppose -3*r + 7*r - 36 = -f*o, 3*r + 4*o - 37 = 0. Calculate the smallest common multiple of 4 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 1311551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:26 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/261)\/(-1))\/2*(-170)\/4845*-57.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + -0.4. Let g = -1604.5 + 1605. Let s = p + g. What is the biggest value in 2, 3\/5, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52228*z + 52230*z + 5*f = -78, 5*z - f + 8 = 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d + 3077 - 1040 = 0 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from {n: 8, d: 4, g: 1, h: 1, m: 1}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -97300 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21065.159 rounded to the nearest one hundred?\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/12*(3 + (-9)\/2). Solve -4*g = -v*x + 7*x - 9, -22 = -2*x + 3*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 11108 = 5*t, 5*t + 100*q = 101*q + 11117. Is t a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - g**3 + 8*g**3 + g**2 + g - 2*g**4 - 3*g to i*g**2 + w*g + v*g**4 + q + k*g**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1424*r - 54013. Determine s(-38).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 294*s**2 + 0 + 2 + 39*s**2 - 2.\nAnswer: -255*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29663 - 1317. Let o = x - 18819. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 22 = 3*i - 4*u, 5*i = 3*u + 2. Let b be ((-198)\/4)\/(i\/4). What is the highest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-13)*n*n**6 assuming n is positive.\nAnswer: n**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14567 + -8169. Suppose -f = -4*l - s, -l + s = -3*s - 1608. What is l rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 816 in 3\/7, -2, -29\/38?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n**6 + 10*n**2 + 0*n + 0 - 1\/180*n**4 + 0*n**3 + 2\/1575*n**7 + 1\/2520*n**8 - 1\/225*n**5. Factor o(h).\nAnswer: 2*h*(h - 1)*(h + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 53*r**2 + 52*r + 34. Suppose -6*x = -3*x - 1524. What is the remainder when x is divided by k(52)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13796, 4, -1 in increasing order.\nAnswer: -13796, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22023001100 - 33?\nAnswer: -22023001133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -3, -0.066, -2\/3.\nAnswer: -3, -2\/3, -2\/5, -0.066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((30\/40)\/((-15)\/(-28264)))\/(5\/25)?\nAnswer: 2, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 35 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16775 and 1220?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**3\/3 + 6. Let l be (-9)\/3 - 2\/(-2). Let s be 1\/(l + 4)*2. Give y(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 5 + 8 + 4)*(-6 - 6*h + 6).\nAnswer: -210*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 d when four letters picked without replacement from jbqqjdo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 17, -1, -23, -49, -79?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - 53. Let g(a) = a + 1. Give -f(p) - 6*g(p).\nAnswer: -2*p + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 18 + 29 - 26*o + 88 + 33 - 12. Let t be r(21). Is t > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2858867047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36335 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 135?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 9:37 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b**2 + 5*b - 5*b)*(-1 + b**2 + 1) - 22*b**2 - 22*b**4 + 22*b**2.\nAnswer: -29*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603862629.\nAnswer: 3, 201287543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-16) - 1*-1. Suppose -3*h + 3*k = 2*h - 30, 0 = -4*h - 4*k - 8. Let v be 1\/3 - 2\/h. Which is the nearest to 1? (a) -1 (b) w (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/16 - (-156332323)\/(-952). Let y = h - -284215. What is y rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21929, 83382, 185803, 329192, 513549, 738874?\nAnswer: 1005167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62.1379 and 584803.\nAnswer: 584865.1379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/350 and 69\/98.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030562482 to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2584*q - 3861.\nAnswer: 2584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = c - 4*c. Let v = c + -16. Solve 4*t - 18 = 3*n, 2*t + 4*n + v = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r + 25*r - 528*r**2 + 597*r**2 - 3.\nAnswer: 69*r**2 - 34*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**4 - 2*b**4 + 4*b**4 + (9*b - 13*b - 9*b)*(0 + 0 + 2*b**3) - 4*b**4 + 12*b**4 + 6*b**4.\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16651 - 16631.026. Let q = 20 - t. Round q to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/28)*((v**(19\/3)\/v)\/v)\/v assuming v is positive.\nAnswer: v**(283\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -123, -210, -297, -384?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -150.1132695 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1259 + 236 = 0. Is 13 a factor of 8\/28 - t\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 5*b - 679 = 7*k, 2*k = -b + 697. What is the remainder when k is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 382696261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 20, -2*s - 3*a = 8 + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 8. What is the third derivative of -6*h**4 + 3*h**5 + 2*h**2 + 6*h**c wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*o + 2 = -2 - 4, 0 = -6*o + 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 1)*(o + 3*o - 2*o)*((-2 - 4 - 2)*(1 + 1 - 1) + 0 - 4 + 5).\nAnswer: 84*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -1 - -32*1. Let p be 2\/114*19 - (-11)\/3. Find the common denominator of p\/b - 1724\/1980*6 and -1\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7720836.\nAnswer: 2, 3, 643403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 376, 752, 1254, 1882, 2636?\nAnswer: 3516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(847) - ((sqrt(847) + sqrt(847) + 0)**2 + 3))*4 + (sqrt(847)*1 + 4)**2 + -2.\nAnswer: -12708 + 132*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s + 49. Let m(a) = a - 16. Let q(k) = -2*c(k) - 7*m(k). Suppose 3*r = 3 + 6, 2*g = 3*r + 9. Let b be q(g). Solve b*l - 27 + 7 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (2 - (3 - 5 - 6)) + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 5. Let i = 5.3 + -5. Let f = 2.3 - i. Do h and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + -5*(sqrt(6)\/(1*sqrt(3)*3) - (sqrt(162) - (-2 + sqrt(162)*-3 + sqrt(162))))).\nAnswer: -1600*sqrt(2)\/3 - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*c = -6*j - 19, -c = -3*j + 37. Let l(y) = 4*y - 38. What are the prime factors of l(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d - 4. Let s(h) = 2*h - 1. Let c(y) = 10*s(y) - 3*z(y). Let r be c(-5). Let f be r\/(-3)*(-45)\/(-12). Solve 4*t = b + 7, 5*b - b = -2*t - f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amaa when four letters picked without replacement from {a: 7, m: 2, l: 4}?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1\/6)\/h))**30*(h**(-1))**37 assuming h is positive.\nAnswer: h**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*5*(-28)\/(-490)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 9*z = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2 (b) -5 (c) 12 (d) -1145\/9 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 47*o - 11. Let f be j(13). What is the greatest common divisor of 75 and f?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -1\/3*w**4 - 5\/2*w**2 + 0*w**3 + 4*w + 0. Differentiate l(k) with respect to k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/2495)\/(339\/(-2260))*60\/(-9). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 17) + (-3 - -2). Let m = 16 - o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - t + t + (-t - t + 0*t)*(-2*t + t**2 + 2*t) + (3*t**3 + 0*t**3 - 2*t**3)*(2 - 5 - 3) - 3*t**3 + 5*t**3 - 3*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t - t**2 + 15*t - 4 + 4.\nAnswer: -t**2 - 54*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58.6? (a) 0.5 (b) 0.068 (c) -21 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3760, 7485, 11214, 14947, 18684, 22425?\nAnswer: 26170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1404 = -5*t + 2*t. Let s = t + -288. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7, 0.32, -3, 1?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346393716?\nAnswer: 2, 3, 109, 264827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - z - 3. Let c be u(-5). Let t = -81 - -45. Let y = t + c. What is the remainder when 30 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209123 divided by -209123\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*h. Suppose h = 2*r + r - 60. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26\/(-13))\/((-1)\/1). Differentiate 14*l**2 - 4*l**n - 35 - 4 + 9*l**2 wrt l.\nAnswer: 38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*(-30)\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**4 - 10*b**2 + 10. Let k(x) be the second derivative of -x**6\/30 - x**2\/2 + 18*x. Let p(m) = -5*k(m) - u(m). Factor p(s).\nAnswer: -5*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n - 22. Let p be u(12). Let g = 180 + p. What is the remainder when 127 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose -3*v + 23 = -t*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 + t**2 - 3*t**2 + (-1 - 2 + 1)*(3 - 3 - 6*t**2))*(-836*t + 836*t + 2*t**2 + 11) as f*t + b*t**2 + u + n*t**4 + r*t**3 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + w. Let m(o) = -28*o**2 + 36*o**2 + 41*o**2 + 13*o + 53*o. Let k(v) = 4*f(v) + m(v). What is the second derivative of k(i) wrt i?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + -393?\nAnswer: -3ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*g + 128, 3*g + x = -x + 172. Suppose 0 = 4*j - g - 34. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 147\/(-42)*(-144)\/63.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55345253 (base 8) to base 13.\nAnswer: -2611a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + sqrt(48)*3)**2.\nAnswer: -120*sqrt(3) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 698 + 1e3?\nAnswer: 87b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 0 - 2*v - 9\/2*v**2 + 13\/12*v**4 + 0*v**3. Find the first derivative of f(a) wrt a.\nAnswer: 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + 2*z)*(z - 3*z + z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 - 18 = -2*g, 0 = -4*g + 3*t + 44. Suppose i = -g + 7. What are the prime factors of (-123 + i)*6\/(-12)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 3*u**2 - 60 + 20 + 21 - 3*u**3 + 16 as b + g*u**2 + c*u**3 + s*u and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0, 2\/3, -2, 1.29.\nAnswer: -2, 0, 1\/4, 2\/3, 1.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(5\/7) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 618*m**2 + 376735*m - 1124616.\nAnswer: -(m - 376)*(m - 3)*(m + 997)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7228 = 145774*o - 145913*o for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -463 - -883. Suppose 1746 = 6*w - t. Let y = 538 - w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 - v + v)*(-1 + 1 + 53*v)*(-7 + 6 - 4*v + v).\nAnswer: 636*v**5 + 212*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 2. Let r(y) = -9*y + 2359. Determine r(d) - 4*v(d).\nAnswer: -d + 2351","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1439664)\/13480 + (-64)\/(-5).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -145*q**2 + 6*q + 22. Let m(v) = -2*v**2 + v + 1. Let g(h) = -b(h) + m(h). Is g(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/272 + ((-52)\/(-16) - 4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 26 = 4*t. What is the highest common factor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302223124 (base 5) to base 9.\nAnswer: 2245208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -64. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28*-76*1*(-3)\/12. What is the greatest common divisor of i and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-77*h + 211*h + 443*h)*(-1 - 2 + 1)*(-2 + 2 + 2*h) + 4*h**2 - h**2 - h**2 to k*h**2 + o + l*h and give k.\nAnswer: -2306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 10. Suppose 8 = -i - d*i. Let a = 3 + -8. Sort i, a, -1 in descending order.\nAnswer: -1, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 887460818164.\nAnswer: 887460818161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*u - 6. Let g be 65\/3*(0 - u). Let o = g - -185. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -24. Let k(u) = u**3 - 4*u**2 + 4*u - 1. Let h be k(f). Let v(t) = t**3 - 3*t**2 + t + 1. Calculate v(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 152. Let n(l) = -4*l**2 + 106*l - 41. Let p = 762 - 736. Calculate the remainder when m is divided by n(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-8)\/(-6) + 2. Suppose 3*m = -0*m + 24. Suppose -2*d = c + d - m, 10 = 3*c + 2*d. Sort q, c, -4 in decreasing order.\nAnswer: c, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.4. Let i = -0.1 - -1.1. Let p = 0.27 - 0.07. What is the closest to z in -2, i, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 8*j**2 - 2*j + 7. Suppose 0 = -4*i + 17 + 15. What is h(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135) - (4*(sqrt(135)*-4 - sqrt(135)) - sqrt(135)))\/(sqrt(35)\/(sqrt(56)\/sqrt(288) + sqrt(7))).\nAnswer: 77*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 14.977. Let i = -2.977 + k. Which is smaller: i or -1.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 193, 371, 549, 727?\n\"Answer: 178*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 - 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36563 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(800) + (sqrt(12)\/sqrt(6)*-6 + sqrt(2))**2 + 1.\nAnswer: 20*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q - 7. Let l be n(4). Suppose -i = -l*i + 24. Solve -4*u = -2*u - i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5541)\/2*24\/(-36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2 - 2*l - 1. Let c(w) = -85*w**3 - 4*w**2 - 8*w - 33. Let y(z) = c(z) - 4*n(z). What is the first derivative of y(s) wrt s?\nAnswer: -243*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1580, 3, -3, -5.\nAnswer: -5, -3, 3, 1580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28*1*((-415)\/(-35) + -11). Calculate the greatest common factor of 516 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-189)\/45)\/(-7)*(-75)\/18)\/((-9)\/42).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -1, 5, 4, -4 in decreasing order.\nAnswer: 14, 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-5 - (-12 - -6)). Suppose b*i + 5*h - 210 - 364 = 0, -i + h = -287. List the prime factors of i.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111\/35 + 25\/7. Which is smaller: 15 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*8\/(-48)*(-33)\/(-121)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -12, -22, 2, 81, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 119 = 3*p, 4*p - 534 = -3*g - 216. What is the least common multiple of 913 and g?\nAnswer: 9130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/6*((-480)\/80 - -9)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-8))\/(75\/(-300)). Let v(r) be the first derivative of -2*r**4 - 1\/3*r**3 + 0*r + w + 0*r**2. What is v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 38391 = 3*c, 5*c = -9*g + 11*g - 15375. 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 the third root of 133154449 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, -25.\nAnswer: -25, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f = -10. Suppose s = 3*m + 7, -5*m = -f*s - 16 + 1. Let n be 1439997\/12 - 2\/s. Round n to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1598119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 169889 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-five quarters of a second?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3825 - 3817. What is the remainder when 167 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/(-3) - (-9)\/18 and 51\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*i - 39*i - 136 - 147 + 419 - 136.\nAnswer: -95*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33407493\/200 + -167037. Find the common denominator of -37\/6 and a.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 159 - 796\/5. Let s = -193 - -197. What is the nearest to -20 in -4, l, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (415\/(-60) - -4) + 3. Let c(z) be the first derivative of -1\/3*z**5 - 2\/9*z**6 + 0*z**3 - 2 + 0*z**2 - m*z**4 + 0*z. Find a such that c(a) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*2*sqrt(13))**2 - ((1 + sqrt(13))**2 + -5 + -3).\nAnswer: -2*sqrt(13) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17355 = 5*u - 2*d - 37389, 3*d + 43798 = 4*u. Suppose -h + 18*h - u = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39751 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (15 + 7 + -9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 1. Let l(r) = 0*r - 7 + 1 + r + 7 - r**2. Suppose -3*z - 4*a - 29 = -73, -17 = z - 5*a. Suppose w - z = -3*w. Determine w*l(m) + 2*s(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 15*x**2 + 25*x - 112. Suppose 5*o = 5*q + 485, 6*o - o = -3*q + 453. What is the remainder when o is divided by d(16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199 + -91. Let n = h - 63. Calculate the remainder when n is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 13 = -1. Let j(v) = v - 4. Let n be j(a). Solve 0*q = -n*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 95396.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 649587465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1498722 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 978\/11 + 332\/11*c + 2\/11*c**2 = 0.\nAnswer: -163, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (-2 + (-9)\/3)) + 2. Suppose -5*o + 22 = -3*l, 38 = t*o - 5*l + 10. Is 254*(o + 9\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186899086 and 10252?\nAnswer: 5126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4*3\/4)\/(9\/(-2))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 64*m + 661. Is q(-44) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345645 (base 7) in base 16?\nAnswer: f273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 + -57. Let v be 1 - (k + -1)\/(15\/530). Suppose -h + c = -198, -h - c - c + v = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 3*z - 6. Let i be r(-5). Suppose -2*j - i + 11 = 0. Let k be 1 - j\/3 - -1. Solve -2*x + t = -0*x - 11, -3*x = k*t + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1592 + 3231. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 79. Let h be u(0). Suppose 4*x - h = 3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -796126793 divided by 72375163\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -165798 to the nearest one thousand.\nAnswer: -166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let y(t) be the first derivative of -1 + 1\/2*t**2 + 0*t. Calculate z(y(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 1. Let w(l) = 7*l + 4. Determine 5*f(d) - w(d).\nAnswer: -2*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 504342 divided by -406\nAnswer: -252171\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*-368\nAnswer: 331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -96787 times -19\nAnswer: 1838953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhihhhhhhhohh. Give prob of picking 3 h.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = w + 25, -5*m - w - 24 = -97. Let d = 48 + -30. Suppose d = 9*j - 225. What is the remainder when j is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.45222, 2, -0.4 in ascending order.\nAnswer: -0.45222, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132409?\nAnswer: 1132409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 388894428 a multiple of 1497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -51. Let f = p - 15. Calculate the least common multiple of f and 74.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let o = 3 - v. Which is the nearest to -2\/7? (a) -2\/9 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 7:48 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b + 35*b = -4*o + 20, -b = -4. Solve -h = o*r, 3*h + 4*r + 11 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/49 + 6\/21. Let q = 218 - 9377\/43. Let y = q - -118\/1075. Is z < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**3 + 787384*z**2 + 1574774*z + 787388 = 0.\nAnswer: -1, 393694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.8533t to nanograms.\nAnswer: 87853300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686)*2)\/sqrt(2) + -4*sqrt(49)\/(sqrt(21)\/sqrt(3)) - 5*((sqrt(70)\/(sqrt(360) - sqrt(10)))**2 - sqrt(14)\/sqrt(2)*4).\nAnswer: -7\/5 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(728\/(-49)))\/((-1)\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174810164*u + 36 - 17 - 19 + 174810156*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17667 and 80886.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - -11.93. Let m = 37 + g. Let t = m - 48.999938. What is t rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (0 + -2)) + 10 + -12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45435 + 45434.18. What is the fourth smallest value in 0.3, -3\/2, x, 1, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/9 (b) 4 (c) -2\/43 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(2\/125)\/(c*c\/(c\/((c*c\/(c\/(c**(-4\/9)\/c)))\/c))*c*c**(-1)) assuming c is positive.\nAnswer: c**(512\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.333.\nAnswer: -0.0333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -41*v - 8572. Calculate k(-209).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/13416 and -35\/946?\nAnswer: 147576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 103633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 1.3 (c) -2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 435*x**3 + 7255*x**2 - 2896715*x - 109143695.\nAnswer: 5*(x + 53)**2*(87*x - 7771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1 + 20 + -7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**5*p - 36384*i**3*p + i**3 + 2271*i*p - 10 wrt i.\nAnswer: -20*i**3*p - 218304*i*p + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -47*x + 0 + 29*x + 2*x**2 - 3*x**2 + 18. What is the remainder when 67 is divided by z(-17)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182832, -365710, -548588?\nAnswer: -731466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 4, a: 3, r: 12}. Give prob of picking 1 g and 2 r.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273941866.\nAnswer: 2, 14159, 44987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsfppffpppppspsppss. What is prob of picking 2 s and 1 p?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88154*w**3 - 55*w**2 + 88157*w**3 + 55*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 46 - 78. Solve 9 = g*c - 3*c - 4*s, -2*c - s = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 708*w**2 - 128 + 106.\nAnswer: -708*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - ((-80 - -31) + -14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 20*z + 49. Let l(p) = -p**2 - 21*p - 40. Let a be l(-19). Let t(v) = -v**2 - 1. Let y(f) = a*x(f) + 2*t(f). Factor y(b).\nAnswer: -4*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -116. Solve 273*x + 3*n = 277*x - r, 3*n = 5*x - 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -14, -10, 16, 76, 182?\n\"Answer: 2*q**3 - 7*q**2 + q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(22)\/sqrt(2)) - (sqrt(11) - (sqrt(704) + 1*sqrt(704)))**2) + 0 + -6*(-1 + sqrt(11) + 2 - (sqrt(11) + 2 + sqrt(1331))**2).\nAnswer: 283*sqrt(11) + 7047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - 12)\/(-2))\/(55\/(-616)*-28). Sort 5, 3, a, 0, -291.\nAnswer: -291, 0, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3121111 (base 4) to base 5.\nAnswer: 421114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osuim. What is prob of picking 1 s and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -820.238 - 1.762. Let w = -818 - q. Which is smaller: 0.032 or w?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51475 and 4.\nAnswer: -205900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -6 + 10 + -12 + 17 + -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -3, 298050.\nAnswer: -29, -3, 298050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -6.3. Let w = 285 - 195. Let s be 39\/w - 4\/(-27 + 3). What is the second biggest value in j, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 85528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/555, -1\/4, -0.5 in descending order.\nAnswer: 2\/555, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**2 - 128. Let g(v) = -3*v**2 + 43. Suppose 0 = 6*b - 20*b + 28. Let i(u) = b*l(u) + 7*g(u). Factor i(t).\nAnswer: -5*(t - 3)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37608 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.95 - -1.35. Let q be 6\/4*6\/45. What is the nearest to -6 in -3, h, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 98*j**2 - 1697*j + 86. Calculate s(-113).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 34\/127, -254\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 7*p**2 - 106 - 69*p - 30*p**2 + 16*p**2 + 10*p**2.\nAnswer: 3*p**2 - 69*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q - 38. Let s be r(9). Solve 3*c + c = 2*u - 14, -2*u = 2*c + s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.894 and 670032.\nAnswer: 670019.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**7\/630 - 7*s**4\/24 + s**2. Let a(y) be the second derivative of v(y). Let b(d) = -d**2. Determine b(a(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*k**6 + 252*k**3 + 9*k**2 + 42*k?\nAnswer: 720*k**3 + 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:27 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-8 + 8 + 5*g)*(0*g + 0*g - g) + (-g - 1 + 1)*(0*g + g - 2*g))*(0 + 1 - 2) - 3*g**2 + 2*g**2 + 22 - 19 to the form h*g**2 + o*g + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from vdvvqmdqvdvnded.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.13, -0.04 in ascending order.\nAnswer: -0.13, -0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g - 3. Let v(x) = 11*x + 4. Determine -7*q(m) - 6*v(m).\nAnswer: 4*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1060)\/1392 + 12\/16. Let h = 19\/29 - m. What is the third biggest value in -5, h, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -10*d, 21*d + 5 = -4*z + 16*d for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137510279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/33)\/((-4)\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1852.764?\nAnswer: -1847.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/180 and 125\/216.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*g**3\/7 + 180*g**2\/7 - 24*g - 112.\nAnswer: 2*(g - 2)*(5*g + 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + 0.2. Let g = j + -20.24. Let b = -19.99999923 - g. What is b rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 + -104. Is 32 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16616604 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6962 + 11603. Is h a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12239151 to the nearest integer?\nAnswer: 3498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 - 0. Let q = 0.06 + r. Let d = 123.9 + -124. Sort 4, d, q.\nAnswer: d, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 2*h - 2*h + 6*h to p*h + l and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -783*y**4 + 15*y**2 + 19*y**2 + 13*y**2 + 2*y + 2 - 93*y**2 + 47*y**2 to the form i + d*y**3 + t*y + a*y**2 + l*y**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 8ca0?\nAnswer: 8c93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149 - 149 - 28*c to u + v*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2854964cm to micrometers.\nAnswer: 2854.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 13) to base 15\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-4) + 1\/4. Suppose t*p + 16 = 64. List the prime factors of 116\/p + 1\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332aa (base 11) in base 6?\nAnswer: 1011302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -3 + 16 + (-45 - (-9 - 4))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/6 - 266947*z**2\/3 + 71260700809*z\/6.\nAnswer: z*(z - 266947)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(1\/54))\/h)\/h*h**14\/h)\/(h\/((h*h*h**42*h*h)\/h)*h*h*h*h*h**(1\/28)*h*h*h))**(3\/25) assuming h is positive.\nAnswer: h**(37003\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 18*z**2 - 19*z + 30. Let u be g(17). Let h be (-15)\/(-5)*u\/6. Is h\/5 + 1708\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2036299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**2*v**3 + 12846*m**2 - 11*m*v**3 + 8*m*v wrt v?\nAnswer: 12*m**2*v**2 - 33*m*v**2 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afffaaqfffffzff. What is prob of sequence fz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 2*y - 14, 3*y - 1 = 5*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5295, -5301, -5305, -5301, -5283?\n\"Answer: d**3 - 5*d**2 + 2*d - 5293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1789 + -0.03319\nAnswer: -0.21209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -629 - -634. Factor 16\/7*n**3 + 6\/7*n**f - 22\/7*n**4 + 0*n + 8\/7*n**2 + 0.\nAnswer: 2*n**2*(n - 2)**2*(3*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**2\/4 + 2008347*t - 8033385\/4 = 0?\nAnswer: 1, 2677795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3*379\/((-284250)\/100)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -487014910*h**3*q**3 + 6*h**3*q + 215*h**2*q**2 + 26065*h*q**2 wrt q.\nAnswer: -2922089460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/55 + (-25632)\/(-19580)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/3)\/c**(-16))\/(c*c*(c*c\/(c*((c*c**(-3))\/c)\/c))\/c)**12 assuming c is positive.\nAnswer: c**(-164\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18340370 in -5, 3\/2, -1.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7960\/5572*(-77)\/(-286)\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 25*y + 8. Let i be x(6). What is the third derivative of -3*d**4 - 2*d - 2*d - 53*d**2 + 23*d**3 + 19*d**3 + i*d**2 wrt d?\nAnswer: -72*d + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 w when four letters picked without replacement from iiiiiwiiwiwwii?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -11723 + 2840. Calculate the smallest common multiple of o and 54.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/14)\/(5\/(35\/2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497124 is divided by 1912.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a. Let y(s) be the second derivative of -s**3\/6 + 7*s**2 - 4*s. Let p be y(12). Let t(m) = m - m + p*m - 5*m. Calculate t(j(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 24, 2\/89, -48?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114.1 + -114. Let m be 18\/8 + 6\/(-3). What is the closest to -2 in c, m, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/209876 and -37\/4.\nAnswer: 209876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/8)\/j*j*j\/(j*j**(1\/3))*j assuming j is positive.\nAnswer: j**(19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56692?\nAnswer: 2, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 0, -2*x - 3*y + 3 = -1. Suppose -4*l - m + 68 = 0, 0 = -l + x*m - 7*m - 2. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/40 + (-19)\/(-4). Let k = 11 + -8. Put b, k, 4 in descending order.\nAnswer: b, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: c8a (base 13) to base 16\nAnswer: 85e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 2. Suppose -4*i - 8 - 3 = -x, -3*x - 23 = 2*i. Let a be l(x). Solve a = 5*c + 2*q, 2*q - 9 = -c + 3*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 11)*2\/4. Suppose -d*z + 6*s = 3*s + 3, 3 = 5*z - 4*s. Sort z, 5, 1 in descending order.\nAnswer: 5, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.019 * 1666\nAnswer: 31.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -10 - (-9 + 5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 592\/(-1780) - (-2 + 8\/5). Let i = 35\/801 + w. Put i, -1, 3, 0.06 in descending order.\nAnswer: 3, i, 0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s. Let w(l) = 4*l**3 + 3*l + 4. Suppose -3 = 3*g - 4*g. Let c(m) = g*r(m) + w(m). Find the first derivative of c(q) wrt q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*5\/(-3) + -4. Let b = -0.6 - -0.5. What is the closest to y in b, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 1, -3, 2094.\nAnswer: -3, -2, 1, 5, 2094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -60*g**5 + 43135*g**4 - 81965*g**3 - 351290*g**2 - 28680*g = 0.\nAnswer: -2, -1\/12, 0, 4, 717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from tmtmmbmmimirt.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110016119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-3) + 4\/(-6). Suppose -y*j - 7 = -4*m - 2, 0 = -2*j - 4*m + 10. Solve 3*f - 5*b = j, -f + 1 = 3*b - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9818571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r - r + 0*r)*(-3 - r**2 + 3) + 7*r**3 - r**3 - 4*r**3)*(7 - 175 - 32)*(-7*r - 4*r + 4*r).\nAnswer: 1400*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4208454 by 267.\nAnswer: -15762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**6\/720 - n**5\/10 + n**4\/24 - 5*n**2. Let w(q) be the second derivative of z(q). Determine w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m + 4. Let k(n) = 7*n + 4. Let z(l) = -3*k(l) + 4*w(l). Find the first derivative of z(i) wrt i.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-1 + (15 - -12304))*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15656269307 + -0.021.\nAnswer: 15656269306.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 3. Let b be 97 + h - (-1 - 0). Let v = b - 59. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - w - 3. Let l be k(0). Let q(z) = 3*z**2 - 2*z + 13. Let s(c) = 2*c**2 - c + 7. Let d(f) = l*q(f) + 5*s(f). Is 8 a factor of d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80496512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 9713308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 469239 a multiple of 778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 3. Let i(d) = 13*d - 9. Let o(m) = -m - 1. Let t(g) = 14*g - 5. Let k(l) = -3*o(l) - t(l). Let h(u) = -6*i(u) - 7*k(u). Give 5*h(y) + 3*v(y).\nAnswer: 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 194114.1 from 4520.\nAnswer: -189594.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 12*t + 5*i + 20 = 0, 4*t = 2*i + 8. Let q be 15\/(-3 - t) + 164\/36. Which is the nearest to 0? (a) 1 (b) 5 (c) q (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:59 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcc when three letters picked without replacement from ccmccmcmmc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-924)\/8162*(-32)\/64?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 3\/119, 0.5, -5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n**3)\/n)\/n)\/n)\/(n*n\/(n**(-3\/10)*n)))**(-21)\/((n**(1\/2)*(n*n**(1\/5))\/n)\/(n\/(n**3*n)*n\/n**(-3)*n*n)) assuming n is positive.\nAnswer: n**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3 - 343080*g**2 - 562079175*g - 227541018250 = 0. What is g?\nAnswer: -805, 70226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**3\/3 - 3*q**2 - q. Let i = 13 + -20. What are the prime factors of b(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 29 = 3. Let i(h) = -h + 2. Let u(v) be the third derivative of 1\/12*v**4 + 0 - 1\/3*v**3 - 5*v**2 + 0*v. Give s*i(m) + 3*u(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 27.011. Round c to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 + 6*(-1 - (-2)\/3). Let h(i) = 15*i + 6. Let v(m) = -m - 1. Let q(r) = h(r) + 12*v(r). List the prime factors of q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/15 + 6\/15. Let j be m - (-7)\/8 - 2. Which is the closest to -1? (a) j (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.01 - 190.\nAnswer: -187.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*l + 36. Suppose 17*q + l = 18*q. Suppose 0 = -i - 5*z + 28, 2*i - q*z = i - 7. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 256 = -2*m, 0 = -0*m + 5*m + 3*t - 629. Suppose 0 = -3*d + 7*d - 4*j + 144, 5*d + 3*j + 188 = 0. Let k = m - d. List the prime factors of k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260590 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 4. Let w be 3\/(2\/u + 1). Suppose -2*n + w*m = 4 - 0, -2*n - 10 = -5*m. Is -1\/8 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 6:52 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -285 - -312. Let f be (-32)\/(-5) - (-6)\/(-15). Let x be ((-5)\/2)\/(z\/f - 5). Solve -2*s + 4 = 4*l, x*s + 2 - 5 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612049?\nAnswer: 241, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 31*g + 165. Let t be v(-24). Which is the third smallest value? (a) t (b) 3 (c) 8\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = 6*x + 261. What is the smallest common multiple of (-1028)\/x - 11\/((-561)\/(-6)) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-374)\/(-14) + (-442)\/17 - (-305)\/(-525)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 836474989 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: Let o(i) = -72*i - 5891. Give o(-71).\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-10792)\/76*6\/4)\/(9\/3)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-57)\/(-2)*(-12)\/(-9). Suppose -z = -4*g - 19, -2*z = -2*g + 7*g - m. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -345 + 350. Which is the third biggest value? (a) 4 (b) v (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**3 + 2*q. Let n be (115\/(-161)*7\/2)\/((-2)\/(-4)). Let k = -8 - -4. Let a(z) = 5*z**3 - 2*z. Give k*b(x) + n*a(x).\nAnswer: -x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2852770 divided by 97.\nAnswer: 29410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 7*t - 13. Determine a(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**2. Let b(f) be the third derivative of -f**7\/252 - f**4\/24 + f**3 + f**2 + 27*f. Let g(u) be the second derivative of b(u). Calculate g(w(z)).\nAnswer: -490*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.766163434 rounded to 4 decimal places?\nAnswer: 0.7662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119954, -119910, -119866, -119822, -119778, -119734?\nAnswer: -119690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 15*v**2 - 37*v - 16. What is h(-6)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -74 * -14\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, -1, -118, -22\/5?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -42. Let s = l - 17. Solve -5*k = 4*i - 1, 0 = s*i - k - k + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 172176 = 2*l. Let h = l + -387965\/9. Let q = 63 + h. Sort 4\/5, 4, q in increasing order.\nAnswer: q, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/35 - (-1718)\/(-10))*1. Let x = 167 + p. Put 1, x, -6 in ascending order.\nAnswer: -6, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4139*a**4 - a**2 - 1281.\nAnswer: 16556*a**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.86 - 2.92. Let s = 7.14 - u. Is s >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 20928581?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2428.8+-159\nAnswer: -2587.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*l + 6*l - 5, 0 = 2*l - 3*g + 4. Which is the nearest to l? (a) 4 (b) 0.1 (c) 2.5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3246.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a1 + 3a39c?\nAnswer: 3a2eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(0*s - 3*s + 2*s) - 4*s + 3*s - s + 3903*s - 2363*s + 4958*s + 3987*s - 837*s.\nAnswer: 9645*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -844701 or -844638?\nAnswer: -844638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from kddkeedkdekd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-1293)\/345 - (53 + -34).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - q - 3*q - 10 = 0, 0 = 5*j + q + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y = 3*z + 14, -5*y - z = -27. Let x be 5\/((2\/(-10))\/(-1)). Suppose 3*i + 1 - x = 0. Calculate the remainder when i is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150e7c (base 15) to base 12.\nAnswer: 40b9b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013512894 rounded to 5 dps?\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 59.123. Round a to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64 - -142. Let u(w) = -7*w + 34. Calculate the remainder when n is divided by u(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-115)\/(-345))\/(2\/(-9)) + 50\/4. Solve 18*u = -i*u - 174 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*w**2 - 199*w**2 + 13 - 13.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1458, 2935, 4410, 5883, 7354, 8823, 10290?\nAnswer: 11755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.65163 to one dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(7)*5 - sqrt(7))*5 - -6*(sqrt(7) - (4 + sqrt(7))**2 - sqrt(7))) + 3).\nAnswer: -135 - 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35498 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: 29528 divided by 282\nAnswer: 14764\/141","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 1 + (-5 + 3 + 4)*(-2 + 1 + 2) + 2 - 4 + 4)*(2*o - 5*o + 4*o) + 4*o - 21*o + 4*o to v*o + r and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + -0.14206\nAnswer: -0.20206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(5\/(-3)) + (-912)\/(-80). Let f be 11\/a + (-27)\/162. Let -f*i**2 + 0*i + 3\/4 = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*8674.8\nAnswer: 34699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13986?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 206 = -71. Let j = 47 + x. Factor 0*y**2 - 3*y**4 + 6*y**3 - 7*y**4 + 18*y**j + 49*y**5 - 47*y**5.\nAnswer: 2*y**2*(y - 3)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 150 + -141. Suppose -5*q + r = -1. Solve 2*u - 30 = -2*y - q*u, 0 = -5*y + 4*u + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3546 + -1386. Let z = 12400 - q. Suppose -z = -5*a - 3*y, -4 = y + 1. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (3 - (4 - 2)). Suppose m*u + u - 6 = 0. Sort u, 4, 1 in ascending order.\nAnswer: 1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + i + 5*i)*(-3*i**2 - 2 + 2) + (-3 - 5 - 3)*(4*i - 3*i + 4*i)*(-i**2 + 0*i**2 + 4*i**2) in the form b*i**3 + w + k*i + l*i**2 and give b.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705, -699, -693, -687?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-11) + (-488)\/22. Is y greater than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j - 7. Let w(q) be the first derivative of 31*q**2\/2 - 22*q - 4. Let r(t) = -2*w(t) + 7*z(t). Let m(v) = -15*v + 9. Calculate 6*m(l) + 11*r(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -298333.\nAnswer: 1\/298333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -3\/2 (c) 0.5 (d) 0 (e) 25\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*c + 6, -7*c = -3*c - 4*x. Suppose -6*i = -c*i - 33. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9*y**3 - y**2 - y + 1. Let m be l(-2). Let o be ((-1)\/3)\/(4\/(-36)). Suppose m = 5*s + o*i - 51, -2*s + 54 = -4*i. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -415 - -717. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h**2 + 24. Let n(o) = -o**2. Give n(i(d)).\nAnswer: -36*d**4 + 288*d**2 - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0\/o)**(-35))**(-11\/8))**3 assuming o is positive.\nAnswer: o**(-1155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 5, -5, -7, -1.\nAnswer: -7, -5, -1, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*d**5 - 375*d**4 - 155*d**3 + 315*d**2 + 280*d + 60 = 0.\nAnswer: -2, -1, -3\/5, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6 - 2098*b**5 - 1858*b**3 - 3*b**2 + 16075081*b.\nAnswer: 360*b**3 - 125880*b**2 - 11148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(7\/4))\/(k*k*(k*k*k\/k**(-3)*k*k)\/k*k))**(-14)\/((k*k**(-2\/5))**(3\/11)\/(k**2\/k)**16) assuming k is positive.\nAnswer: k**(11367\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 0\/2) + 3. Let l(c) = c**2 + c + 3. Let y = 5 - 5. Let f be l(y). Solve -2*x + 10 = f*n + n, 2*x = -n + p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-2*u**4 + 4*u**4 - 3*u**4) + 3*u**4 - 2*u**2 - u**2 + 2*u**3 - u**4.\nAnswer: -u**4 + 2*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let z(r) be the second derivative of -13*r**5\/20 + r**4\/12 - r**3\/6 - r**2\/2 - 5*r. What is the remainder when z(m) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 + 1. Let o be c(1). What is the units digit of (o\/5)\/((-6)\/(-60))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3 minus 72?\nAnswer: -67.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1565 divided by 4\nAnswer: -1565\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8663, 20530, 49713, 78880, 108025, 137142, 166225, 195268?\nAnswer: 224265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -111000?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 - 4*w + 30. Let g be s(20). Let k = g + -171. Let z = 2218 + k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t**3\/25 + 92*t**2\/25 - 26*t\/25 - 12\/25 = 0. What is t?\nAnswer: -6, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 188555 = -221952 - 139413. What are the prime factors of m?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 - 0 - 13 - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*g - 3*g. Suppose 8*n - 3*n + 12 = g*y, 0 = -5*n. Solve -3*d + 0*d + y = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 4 + 12 + -22.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13643235 is divided by 215.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*r + 11 = 0, 5*p + 2*r - 12 = 10. Solve 0 = p*y + 4*a - 20, 4*a + 2 = -y + 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**4\/3 + 11*t**2. Let u be 3 + (-4)\/4 - 10\/5. Let q be r(u). Solve c + 2*c + 9 = q, 0 = j - c + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.895 * 9848.\nAnswer: 8813.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5157826473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 2:37 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -238.\nAnswer: -5\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c. Let b(r) = -40*r. Determine b(p(d)).\nAnswer: -240*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 72. What is the least common multiple of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 990653, 3962679, 8916055, 15850781, 24766857, 35664283, 48543059?\nAnswer: 63403185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 11*w**3 - 81*w**2 + 69*w + 133. Calculate o(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 1. Let c be b(-2). Suppose -4*m + 12 = 0, -4*m + 0*m = 4*f - 4. Let i = -6 - f. Sort i, c, 3 in ascending order.\nAnswer: i, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 + 55\/45. Let v = -0.1 - -0.4. Let b = -3 - 0. What is the closest to -2\/5 in b, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 1. Let w(b) = 97*b - 8 - 5 - 4 + 26 - 7 - 94*b. Let z(u) = u + 6. Let y be z(-5). Calculate y*w(v) + 5*d(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - 3) + (-3 - 1) + (-183 - -190) - 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.5. Let m = 22.52 + -0.52. Let p = m - 22.4. Sort -2, p, h.\nAnswer: -2, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/1496 + 294339\/1496. Let q = l - 197. Which is the closest to 28? (a) q (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 7. Suppose -16 - 4 = -3*s - d*v, 3*v = -2*s + 14. Suppose n - 3*n = 2*m - 2, s = -2*n - 4*m. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -34*x + 342. Suppose x*u = 2*u + 300. Calculate the remainder when 523 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a*d**3*v + 2*a*d**3 - 1076*a*d + 9*a*v - 116*d**3*v + 28*d**3 + 21*d**2*v + d wrt d?\nAnswer: 60*a*v + 12*a - 696*v + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4\/9 + 15860*m**3\/3 - 190294*m**2\/9 + 47572*m\/3 = 0.\nAnswer: 0, 1, 3, 23786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10)\/((9\/(-60))\/(4644\/(-72))). Sort 0.1, t, 3 in ascending order.\nAnswer: t, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(102\/8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -127.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 2*a + 11. Give f(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(6))**2*3 - (-2*sqrt(102))\/sqrt(6)) + -2.\nAnswer: 2*sqrt(17) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2534*z + 14. Let o(l) = 846*l + 5. Give -6*f(b) + 17*o(b).\nAnswer: -822*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983124643.\nAnswer: 983124643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-10)*2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (51 - 65) + 6 + 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6716*q - 8 + 8 - 2.\nAnswer: -6716*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/14 - 7*w**4\/3 + 2*w**3\/3 - 57*w**2. What is the second derivative of b(z) wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:01 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7849 (base 11) to base 3\nAnswer: 112011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, -1, 659, 7 in ascending order.\nAnswer: -1, 7, 137, 659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, 1 l, and 1 s when four letters picked without replacement from {b: 2, s: 6, g: 1, l: 3, w: 5}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 1 + 1)*(3*r - 3*r - r)*(-2*r**2 + 2*r**2 - 5*r**2).\nAnswer: 10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 10*i - 10. Determine m(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 8*t**2 + 7*t + 25. What is u(8)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -350*u - 27. Let m(v) = -2099*v - 176. Determine 2*m(s) - 13*z(s).\nAnswer: 352*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20691 minus 45.6?\nAnswer: -20736.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -31. Find the third derivative of 0*a**5 + 6*a**5 + v*a**2 - 7*a**2 wrt a.\nAnswer: 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14819039 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 1920 = t. Suppose 2*k - 83 = -q - 69, 0 = -5*q - 3*k + 49. Suppose -q*y = -0*y - t. What is the greatest common factor of 36 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 10) in base 14?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(30)\/(sqrt(360) + (1*sqrt(360) - sqrt(360))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8443, -12648, -8395, 8546, 42405?\n\"Answer: 705*u**3 - u**2 - 9137*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-1 - -30) - -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 10. Let t(s) = -s**3 - s**2 + s + 4. What is the remainder when t(-3) is divided by 9*1 - (-3 + j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 860 = 2647. List the prime factors of s.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317735633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.0916 and -9?\nAnswer: -18.8244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 11789370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = f - 3*s + 2*s, 3*s = f - 23. Suppose 2*z = 3*z - f. Is 1476\/z - 3\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05791042062 to 4 decimal places.\nAnswer: -0.0579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 15397471779.\nAnswer: -15397471779.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 19*h**2 - h. Determine u(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4. Suppose 0 = 2*t + 5*u - 2*u - 7, n = t + 4*u - 6. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 20*o - 1155. Let x be q(58). Solve -2*s = 4*w - 16 + 2, 3*w - x*s - 30 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -2, -111, -5 in descending order.\nAnswer: 3, -2, -5, -9, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -310617 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(250))\/(-1*sqrt(72) - sqrt(2)).\nAnswer: -sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82836 and 2132?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**3 + 3*y**2 - y. Let h be q(3). Let f = h + 66. Solve -5*z + 9*u - 4*u - 25 = 0, -5*z + u - f = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 + 13 - 5 - 12 as r*f + z*f**3 + t*f**2 + p and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 1 - 7. Let g be (-16307)\/(-16665) + z\/(-33). Let s = -1\/303 - g. Which is the second biggest value? (a) s (b) -0.4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -n, 6 = -2*r + 3*r + n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 3*z**2 + 4*z - 5. Suppose -8*y - 993 + 961 = 0. Calculate w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:56 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2284\/(-319) - -7 - 65\/(-715).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-12) - (-248)\/24.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81032, -79460, -76840, -73172?\n\"Answer: 524*o**2 - 81556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 25 = v. Suppose p = u + 5 - 0, -v*p + 3*u + 21 = 0. Suppose -4*q - 569 = -7*r + 2*r, 0 = p*r - 2*q - 343. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfkkkkffkfkf. Give prob of picking 2 f and 1 k.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let z(v) = -2*v + 6. What is -3*u(g) + z(g)?\nAnswer: g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-6) + (-138)\/(-18). Suppose h + 3 = 5*t - 0, 2*h - i = -3*t. Let g = 31\/6 + -5. Which is greater: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*o**2 - 48*o + 2 wrt o?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15*a**4 + 2*a**3 + 2*a**2 + 2*a. Let g(i) = -60*i**4 + 9*i**3 + 9*i**2 + 8*i. Let b(w) = 2*g(w) - 9*l(w). Find the second derivative of b(o) wrt o.\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1216 divided by 7.\nAnswer: -1216\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.63 - 0.13. Let h = 12 - f. Let i = -1.4 - h. Is i equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = k - 10, -14 = -2*k - 3*a + 1. Solve 5*o - o + 8 = k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 209 (b) 2 (c) -0.4 (d) 922\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 11) to base 16.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + -3. Let w = b + 18. Solve 0*m - 2*m - w = -2*h, 4*m = -4*h + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926400 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 351591351 to the power of 1\/2, to the nearest integer?\nAnswer: 18751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {y: 2, v: 7, h: 1}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ulsdjsdqlqjd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -75. Sort c, 2, 4, -12 in decreasing order.\nAnswer: 4, 2, c, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 210, 0.121, 2\/3, 4, 5 in ascending order.\nAnswer: 0.121, 2\/3, 3, 4, 5, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156422842 and 74062?\nAnswer: 3898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((10 - 1 - 31\/((-1488)\/96)) + -18)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.326871 rounded to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.002 + 56.098. Let i = v - 59. Let b = i - -5.9. What is the third biggest value in b, 1\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1599, -3871, -6143?\nAnswer: -8415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 130*o + 129*o = -14473, -4*j + 57946 = -5*o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -10.87, 2\/999?\nAnswer: -10.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18c - e5f?\nAnswer: -feb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*(p*p**(-8))\/p)**(-10\/13))**10 assuming p is positive.\nAnswer: p**(500\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2)*(12 - 21 - 28)*(-2*h + 2*h - 2*h**3) to a + b*h**2 + g*h**3 + k*h and give g.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -783 + 1529. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562520923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052118306 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*g + 65, -g = -5*a + g + 72. Suppose w - 8 = -3*w. Let p(n) = 2*n**2 + 2. Calculate the lowest common multiple of p(w) and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-16))\/i*i*i\/(i\/((i**39*i)\/i*i)))**(4\/15))**(-2\/117) assuming i is positive.\nAnswer: i**(-152\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1 + (-6 + 2 + 2)*(-1 + 0 + 0) + 2 - 4 + 3)*(-g**2 - 88895*g - 12 + 44443*g + 44443*g) to the form j + a*g + v*g**2 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2. Let r(l) = -320*l + 495*l + 3281*l + 2 - 2. Give r(q(s)).\nAnswer: 6912*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8460 + 9393 = 11*g. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00306530046 rounded to 5 dps?\nAnswer: 0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/116760 and -87\/560?\nAnswer: 233520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514803.5 days in weeks?\nAnswer: 216400.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - 89. Let i be t + -8 + 28\/12. Let l = 0.15 - 0.05. Which is the smallest value? (a) 1\/6 (b) -1\/2 (c) l (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4677280186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 373 + -321. Solve 50*b = t*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.86018 rounded to one dp?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 14*d + 1. Let t be i(-9). Let g = 159 - t. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1 + 2*y**2 - 4*y + 1 + 24*y. Let n(s) = -1126*s**2 - 40*s - 20. Let o(p) = 169*p**2 + 6*p + 3. Let j(i) = -3*n(i) - 20*o(i). Give j(c(a)).\nAnswer: -8*a**4 - 160*a**3 - 800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224227 = 5214*q - 1641*q - 97343 for q.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39979037 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 61*p + 22*p + 4*p + 8*p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -19. Let g = 9 - u. Let o be -1*1 + 5\/5. Which is bigger: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsf when three letters picked without replacement from {f: 6, s: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(18))**2 - sqrt(22)\/(sqrt(44)\/sqrt(4))) + ((-2*sqrt(120))\/sqrt(6))\/sqrt(10).\nAnswer: -3*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/222*36\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26025 is divided by 338?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*w + 1 = -1699 - 680 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a day in minutes?\nAnswer: 15264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11)*4*-2 + 3 + -1 + (sqrt(11) + 5 + sqrt(11) + 2 + sqrt(11) - sqrt(11)))**2.\nAnswer: -648*sqrt(11) + 2862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -75690000 to the nearest one million.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from haheohoehwooae. Give prob of sequence eooa.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -366, -821, -1468, -2313, -3362?\nAnswer: -4621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12250 - -103563?\nAnswer: 61313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -2*q**2 - 20*q - 718. Determine k(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9748.506 months in millennia?\nAnswer: 0.8123755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66385*f**3 + 66386*f**3 - 13*f + 13*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (86\/3)\/(70\/21) and -2\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*b + 17*b - 38*b + 42582 = 0 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*u + 18 + 10, -4 = 2*u + 3*j. Let k be (-6)\/(-12) - (-2)\/u. What is the units digit of k + 5 + (-6 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 2*m + l, 102 = 3*m + 5*l - 10. Suppose -5*b + 3*b = -4. What is the second derivative of -b*t**5 + 32*t + 0*t**5 - m*t wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjkjkvknvpjjknjcj. What is prob of picking 1 c and 1 k?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8632256.\nAnswer: 2, 29, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16762*t**2 + 2636*t wrt t?\nAnswer: -33524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 0 - (10 + 26 + -5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - 2.4. Let l = i + 9. Let p = 6.400191 - l. Round p to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/15, 0.3, -23.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -314*l**2 + 314*l**2 + 730*l**3 - 6946*l**3 - 4336 + 1170*l**3 with respect to l.\nAnswer: -15138*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8422*i - 2. Let s be h(-1). What is s rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6765 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-12))\/(2\/(-6)). Suppose v + 10 = -4*p, p - 8 = -v - 3. Suppose 2*b = 2*z + z - 140, -t*b + v = 0. What is the greatest common divisor of 20 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 10 = t. Let b = -0.02 - -0.32. Sort b, -1\/4, t in ascending order.\nAnswer: t, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42471)\/3062631*(-33)\/(-9).\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 - 2.3. Let r = 4.8 + z. Let k = 2 - r. Sort 4, 0.5, k.\nAnswer: k, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 47. Suppose -m - 10 = -31. Let j be y(m). Which is the fourth smallest value? (a) -7 (b) 0.4 (c) j (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -42 (b) 1\/19 (c) 2.2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, e: 5}. What is prob of sequence nn?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -51.7.\nAnswer: 53.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25668 and 1728.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1086 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47661516 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 992*s**2 + 15*s - 9. What is the units digit of c(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 3 (c) 2 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(3 + 4 - 4)*(-6*w - 6*w - w).\nAnswer: -117*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 + 3*c + 4. Let s be v(3). Suppose 0*p + 2*p = s. Let j be 2\/p + 27\/33. Which is bigger: -4\/9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3707133 is divided by 142576?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 2)*(-2*l + 0 + 0) - 3*l + 9*l + 10*l - 16*l - 3*l + 9*l + (1 - 1 + 2*l)*(5 - 4 + 0) to the form r*l + h and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2. Let p = -10 + 9. Let q(w) = -2*w**2 + w. Let y(b) = -48*b**2 + 4*b. Let c(l) = p*y(l) + 4*q(l). Determine c(k(z)).\nAnswer: 40*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 100, 132, 184, 256?\n\"Answer: 10*c**2 + 2*c + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 0.1 (c) -1\/4 (d) 31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*s + 100 = -5*h, 2*h - 123*s = -119*s - 14 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58860, 58836, 58784, 58692, 58548, 58340, 58056?\nAnswer: 57684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 - -38.8. Let j = n + 1. Which is the smallest value? (a) 1\/4 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6876977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 - 253*f**2 - 32*f - 398. What is q(-63)?\nAnswer: -2351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 19 + (3 - 14 - (-12 + 5 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18515 and 13225?\nAnswer: 92575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6844464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*i - 8*i + 22, -2*y + 31 = 5*i. Let p = 11 - 13. Sort -4, y, p.\nAnswer: -4, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 4*v + 2*v + 11)*(7*v - 5*v + 9*v).\nAnswer: -22*v**2 - 66*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/681 and 56\/1117521?\nAnswer: 1117521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58104.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17200*n - 73770 = -19659*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and -0.194.\nAnswer: 10.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-19 - -33 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1121*x**6 - 5785*x**2.\nAnswer: -134520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 5*p**2 + 9*p - 9*p**2 - 2*p.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16817929 to the power of 1\/2, to the nearest integer?\nAnswer: 4101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 - 9)*3\/5. Let x = -2 + d. What is the highest common divisor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 393 + -396. Let w(y) = 6*y - 4. Let o(k) = 11*k - 7. Give m*o(j) + 5*w(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 886 = 5*p, 4*p - 2*t - 93 = 617. Suppose 2*q - 5*q - p = -3*j, 3*q - 3 = 0. Is 26 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 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 h = 100 + -103. Let n(z) = -2*z**2 - 2*z - 3. Let y(t) = -t**2 - t - 1. Let f(g) = 2*n(g) - 5*y(g). Determine f(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1764290*n. Let y(o) = 588*o**2. Give y(c(t)).\nAnswer: 1830278892010800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*(-8 + -8). Solve 12*p = 14*p + 2*b - z, 5*p + 2*b = 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 44 = 4*x, -c + 4 = 5*x - 81. Solve -4*t + w - x - 8 = 0, 3*w - 37 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 14 + 0*q**4 + 7\/6*q**6 + 15*q**3 + 0*q + 0*q**5 + 0*q**2. What is the third derivative of l(v) wrt v?\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/4)\/(11\/(-88)). What is the remainder when (7\/(49\/161))\/(1\/r) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -125*j - 3960. Let r be v(-32). Suppose -2*p + 21 = -11. Calculate the greatest common factor of r and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 - (-22 - (-65 - (-22 + 19)) - 24).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21073 is divided by 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2249640 divided by -12\nAnswer: 187470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a - 4. Let i(z) = -z**2 + 20*z - 27. Let w be i(18). Calculate the remainder when t(w) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.55 - 39.95. Let b = -43 - t. Which is bigger: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13*2)\/(2*1). Let s = j - -3. Let o(u) = -u**3 - 25*u**2 + 34*u + 217. Calculate the remainder when s is divided by o(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + g - 3 - 5, -5*g = 10. Suppose -6*u + p = -10. Sort 10, u, -4 in ascending order.\nAnswer: -4, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -49 (b) 7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 780205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f - 9 = 0. What is the second derivative of j - 4*j**3 + 2*j + 2*j**f + 5*j**3 wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 11*k + 24. Let v be h(8). Sort 3, -1, v.\nAnswer: -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9476.36 grams in kilograms?\nAnswer: 9.47636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + m. Let g(h) = -3*h**3 + 3*h**2 + 2*h. Suppose -2*k = 4*j - 2, j + 8 - 1 = -3*k. Determine k*z(c) + g(c).\nAnswer: -3*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 12:07 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*f**2 + 2\/3 - 2\/3*f.\nAnswer: (f - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, w: 1}. What is prob of sequence mw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 = 5*m, -z - 5*m = 4*z - 10. Let w = z + -5. Suppose 0 = 3*v + 4*f - 0*f - 9, w = -2*v - f + 11. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 7. Let q be o(-6). Suppose 3*f - 7*f = 0. Let l be (f - q)*4\/22. What is the second smallest value in l, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.064 - -45.064. Let d = h - 31. Let m = 14.0000055 - d. What is m rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2 + 3*x + 5 + 3*x. Let z be v(2). Solve -4*n = -n + z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -6*h + 16*h. Suppose 112 = h*f + 104. Solve 0 = f*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(10\/14))\/(4 - (-990)\/(-242))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18797 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 38, 2\/15, 3\/29, 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8\/5, 5, -3, 22.36 in ascending order.\nAnswer: -5, -3, -8\/5, 5, 22.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 53*p - 2. Let h be b(1). Calculate the greatest common divisor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1370 and -54\/15743?\nAnswer: 21567910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15119 - -15314. What is the lowest common multiple of 24 and y?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + (43 - (7 - -12)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11 (b) 5 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - -0.5. Which is the closest to -7\/3? (a) -3 (b) u (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(2\/25))*u**(-1\/2)*u*u**(3\/5)*u\/(u\/(u*u\/u**(-5\/4)*u*u*u)))**(-42) assuming u is positive.\nAnswer: u**(-15267\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-210))\/(539\/(-231)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g. Let r = -26 + 27. What is v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((2640\/(-32))\/(-55))\/(54\/360))\/((-4)\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-106)\/(-12) - (7 + 645\/(-90))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3144473.77 rounded to the nearest one hundred?\nAnswer: -3144500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {w: 8, r: 2, x: 6, n: 3}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**4\/12 - 4*p**3\/3 - 6*p**2 - 10*p. Is t(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 220196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*i - 21 = 0, d + 2 = -i - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 10395 (b) 5 (c) -3 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 364 times 0.03?\nAnswer: 10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 9:38 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 3\/5, 2.07, -1, 2, 0, 496.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q + 12 = 0, 19 = 5*x + 3*q. Suppose v - 2*g + x = g, 18 = -4*v + 2*g. Let k be (-1 - (-1 - -1)) + 0. Put k, v, -3 in increasing order.\nAnswer: v, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 573461.6mm to nanometers.\nAnswer: 573461600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/27 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 3, a: 3, b: 6, h: 5, y: 1}. Give prob of sequence uuau.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6499 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 563 - 246. Suppose -a = -3*z + 304. Let n = -2077 + z. What is n rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 5*j + 50. Suppose -c - c = -j. Suppose -175 = -3*q - 2*q - c*t, 4*q - 130 = t. Calculate the highest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92.1 - 110.1. Which is the nearest to 0.1? (a) -5 (b) -0.03 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = 86*s + 196 + 200 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4305 - 4306. Are 12\/115 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -533831.47 to the nearest ten thousand.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 (base 10) in base 9?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.1 in 79, -1, -5, -1\/38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a - 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (25 - 13) + -4 - (-10 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -27.1. Let i(z) = -z**3 - z**2 - 2*z - 1. Let o be i(-1). What is the smallest value in o, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499 - 690 = -58*c + 13*c + 1376 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -20721000 to the nearest 100000.\nAnswer: -20700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(2) - (1 + sqrt(18)) - (-5 + sqrt(2) + 1))**2).\nAnswer: -145 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -24*j - 96. Let b be s(-4). Let l(f) be the second derivative of 1\/8*f**4 + b*f**5 - 1\/60*f**6 + 5*f + 0*f**2 + 0 + 1\/6*f**3. Factor l(k).\nAnswer: -k*(k - 2)*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50826812.\nAnswer: 2, 12706703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -22. Let v be 2*2 + (d - 1). Suppose 72 = 2*b - v. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 464132 and 18?\nAnswer: 4177188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from oktjclj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (1 + -12 + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8\/(s*(s\/(s**(-7\/5)*s*s))\/s*s*s))**(-1\/50) assuming s is positive.\nAnswer: s**(-14\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -82*b + 2309. What is the remainder when 3442 is divided by q(28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174*b**2*d**3*z**2 - 73*b**2*d**3 + b**2*d**2 + b*d**3 - 2*b*d**2*z - 6*b*d*z**2 - 3*d*z**2 wrt z.\nAnswer: 348*b**2*d**3 - 12*b*d - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 46506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 10*l - 1. What is d(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b - 4. Let z be u(-2). Let f = z - -29. Suppose 7 + 19 = 4*c - 3*i, -5*i - f = c. What is the greatest common factor of c and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 7, p: 4, v: 1, y: 2, m: 4}. Give prob of sequence vm.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -61.7818+5\nAnswer: -56.7818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50145, -100266, -150387, -200508?\nAnswer: -250629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 + 1179 + 3772157*a - 3772164*a.\nAnswer: -7*a + 1353","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58655 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: Find z, given that -4*z**3 + 136052*z**2 - 1155999324*z - 15050992788 = 0.\nAnswer: -13, 17013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 98979, 98981, 98983, 98985, 98987, 98989?\n\"Answer: 2*p + 98977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 30 = -b, 4*b = -0*m - 2*m - 12. Let t be m\/(-10)*(-64)\/(-24). Factor 4\/5 + t*q + q**2 + 1\/5*q**3.\nAnswer: (q + 1)*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3446*b**3 + 6207 wrt b.\nAnswer: 10338*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 432745582 a multiple of 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 3. Let i be f(11). Suppose 2*a - 8 = -l, 4 + i = 5*a + l. Suppose 2*g - 5 = 5*c - 3*g, a*g = 10. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**3*x**5 + 343*o**3*x + 3*o**3 + 4*o**2*x - 29004*o*x**5 - x wrt x.\nAnswer: 40*o**3*x**3 - 580080*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-244)\/(-16) + 6\/8. Let x = 2 + k. Calculate the smallest common multiple of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1386, 1389, 1400, 1425, 1470, 1541?\n\"Answer: d**3 - 2*d**2 + 2*d + 1385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8.7. Let p = -0.7 - j. Which is the closest to -1? (a) 1\/3 (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.145909 - -0.147. What is g rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 - 111.9936. Round x to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12145446 (base 9) in base 13?\nAnswer: 12ca635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c. Let q(a) = 2*a. Let w(g) = 2*q(g) + u(g). Let i(y) = -y - 1. Let t be i(0). Determine w(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80189692.65 + 80336241.24956. Let u = 146551 - i. Let f = 2.4 - u. Round f to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7170?\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(15)\/((sqrt(50)*-1)\/sqrt(10)) + sqrt(363) + -2*(-2 + sqrt(363))))**2.\nAnswer: -864*sqrt(3) + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 15*f + 0 + 2 as k + p*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, s: 6, d: 1}. What is prob of picking 1 d and 1 k?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + (-60)\/9*-9. Calculate the highest common divisor of z and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 6*q + 5. Let a be c(5). Suppose 3*x = 15 - a. Find the third derivative of 7*d**5 - 7*d**x - d**6 - 2*d**2 + 2*d**6 wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4\/5 + 528*g**3\/5 + 14208*g**2\/5 + 23552*g + 319488\/5.\nAnswer: -4*(g - 156)*(g + 8)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j**3 + 4*j**2 + 14*j + 2. Let g(d) = -d - 1. Let x be (2 + -2 - -1) + 0. Let o be (-14 + 40\/8)\/((-6)\/4). Let r(q) = o*g(q) + x*n(q). Factor r(u).\nAnswer: -4*(u - 1)*(u + 1)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3141 (base 5) in base 9?\nAnswer: -517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8480.03 - 8480. Which is the smallest value? (a) 1 (b) 1\/3 (c) -1 (d) 1\/13 (e) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 6) + -1 + (2 - -2). Solve -2*b = 4*d - 6, -5*b = 4*d - q + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18498937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2 (c) -0.5 (d) -1 (e) -14\/3 (f) 17\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/5))**(-25)*(p\/(p\/p**(10\/9)))**(-42\/5))**(-43) assuming p is positive.\nAnswer: p**(-731\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26771022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6054, -24309, -54762, -97413, -152262?\nAnswer: -219309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880149 = -5*a + v, -880153 = 62*a - 67*a + 2*v. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5542864168 rounded to the nearest 100000?\nAnswer: -5542900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c92c23 (base 15) in base 10?\nAnswer: 9577608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5103 - -5105.051. Round i to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w + w)*(-2 + 0 - 1)*(-2*w - w + 4*w)*(3*w**2 - 2*w**2 + 6*w**2)*(-4*w - 14*w + 31*w) + 3*w**5 + 0*w**5 - 6*w**5.\nAnswer: -276*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -10*d**2\/7 + 936*d\/7 + 376\/7 = 0.\nAnswer: -2\/5, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + p - 1. Let o be x(2). Let k be (4\/(-5))\/((-4)\/10). Solve -w = k*c + 6, -o*w + 16 = -5*c - 29 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0, -3\/5, 0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 3:58 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 + -326 + 240 - (10 - 1)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 17*n**2 + 16. Let y be k(17). Suppose y*m = 41*m - 5850. Is m a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3765 is divided by 619.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72725935.\nAnswer: 5, 1151, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.4 + -6. Let n be 2\/(-4) - (-205)\/(-200). Let v = 9\/8 + n. Which is the closest to v? (a) -3 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 37*l - 32*l = 20, 12 = 3*i + 3*l. Solve b = -4*f - 17, -3*b + 24*f - 21*f + 9 = i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.3, 247\/2, -1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*i - 25. Let o = 45 - 36. Let d = o + i. Solve 0 = t - d*g + 11 - 4, -2*t - 9 = -3*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*v**3 + v**2 + 2852*v + 6594140?\nAnswer: -132*v**2 + 2*v + 2852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ldldlilldplpyopyy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12457.\nAnswer: 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*f + 9*f + 28*f)*(19 + 2*f - 35 + 17).\nAnswer: 236*f**2 + 118*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 15*t - 16*t)*(t**2 - 5*t**2 + 3*t**2) + 5*t**3 + 0*t**3 - 2 - 7*t**3.\nAnswer: 30*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -338 - -338.312. Let j = y + -0.31200672. Round j to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/175 + 4\/(-7). Let s(x) = -6*x - 107. Let p be s(-18). Which is smaller: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 2*u - 6. Let k be h(-9). Suppose 0 - 8 = -2*x, 0 = -5*o + 2*x + k. What is the units digit of (o\/2)\/(4\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:59 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10043214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -1 - (-23)\/((-1771)\/306). What is the smallest value in -1\/3, 0.3, 1, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97226773?\nAnswer: 7, 23, 603893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -58\/7, 12.3, 47 in ascending order.\nAnswer: -58\/7, -1\/4, 12.3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -26, -42, -60, -80?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282 + -147. Let k = g + -131. Solve x = 2*q + 2*x + 9, 4*x = k*q + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -11, -39, -91, -173, -291?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002697271 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1810 - -2143. What is the greatest common factor of 54 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1841*-3*5\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 3*x + 10*x - 6*x to v + f*x and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129182 + 137102 = -165*m for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4040\/30)\/((2\/8)\/((-1860)\/(-9920)))\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/((-16 + 22)\/90).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375\/(-1050)*(704\/(-40))\/(-11).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144102201400 - 1?\nAnswer: -144102201401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -1\/4, -0.07, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -26. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:16 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 3)*12\/(7200\/420).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v - 6. Determine x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -178*z + 2. Let w(q) = 7*q - 6. Let v(y) = -31*y + 26. Let u(i) = -6*v(i) - 26*w(i). Determine u(d(f)).\nAnswer: -712*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 6:32 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -9\/5, 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/13 - 5818*o\/13 + 5820\/13.\nAnswer: -2*(o - 1)*(o + 2910)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/(v*(v\/(v**(2\/5)*v))\/v))**18\/((v*v**(-1)\/v)\/(v**(2\/3)*v))**(4\/3) assuming v is positive.\nAnswer: v**(2104\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18, -231, -193 in increasing order.\nAnswer: -231, -193, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86654106 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 f when two letters picked without replacement from {r: 2, f: 3, h: 1, k: 1, b: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) -243 (c) -10\/13 (d) 1 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let c(w) = 11*w + 1 + 1 - 3. Let z(h) = -6*b(h) + c(h). Suppose j + 0*u = 5*u - 9, 4*j = -5*u - 11. Let d(t) = 6*t - 1. Give j*z(a) + 3*d(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41927 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.4 and -1.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276 + -266. Solve 0 = -5*o - 4*y + 25, 0 = -2*o - 0*o - y + q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 4*h - 2*h + 6*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1\/3, 0, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 7. Suppose 4*i - k = 27. Calculate the lowest common multiple of 2 and (i\/9)\/(((-40)\/204)\/(-5)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 25.966. Let b = m + 1.106. What is b rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Suppose 7*m - 260 = 391. Let y = 1766\/19 - m. Which is greater: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370696801?\nAnswer: 241, 1063, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*l*q**3 - 12*b*q - 51*l*q + 230*q**6 - q**2 wrt q.\nAnswer: -6*b*l + 27600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 6. Let w(q) = -2*q + 18. Let b(o) = -8*s(o) - 3*w(o). Let u be b(-6). Suppose u*l = 4*l + 6. Solve 0 = -3*i - l, -5*i = 5*f - f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 times 524449?\nAnswer: 21502.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*w + 74*w - 48 = 0. Suppose -2*i + 2*d = -1912, -w*d = -i - 561 + 1513. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 21. What is k(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -11, -41, -5 in decreasing order.\nAnswer: 9, -5, -11, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1.242, 37, 2, 13 in decreasing order.\nAnswer: 37, 13, 2, 1.242, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4*g**(-8))\/(g*g*(g*g**(-5))\/g*g*g**(-7)))**(-2\/15) assuming g is positive.\nAnswer: g**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 985*d + 11663. Give t(-12).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (2 - 2)) + 9 + 92 + -33 + -6.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**3\/5 + 369*b**2\/5 - 12528*b\/5 + 70644\/5 = 0.\nAnswer: 7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9072 and 243.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 9*z + 6 + 2*z**2 - 7*z = 0. What is z?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 30 = -2*l, 2*l = -5*o - 36 + 126. Suppose -18 = -x - 2*h, 4*h - o + 2 = -x. Solve -5*w - 3 = -x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 149 + 10*x - 4*x + 11*x - 3*x. Let j(i) = -25*i - 297. Let b(c) = 6*j(c) + 11*p(c). Differentiate b(q) with respect to q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -12. Suppose 4*k - 12 - 8 = m, 2*y - 2*k = -10. Solve -4*s = -y*t - t + 9, -s = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27938717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**2 - 26960*z - 1494900 = 0.\nAnswer: -55, 6795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.940571 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let z(f) = 31*f + 10. Let b(q) = -2*q - 1. Let k(t) = 24*b(t) + 3*z(t). What is k(o(a))?\nAnswer: 90*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 + 9*s + 11. List the prime factors of o(-5).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 98759927.89 to the nearest 10000.\nAnswer: 98760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*(b\/b**(3\/5))\/b)\/b))\/b**(-1)*(b*b**(-1\/4))**(-1\/5) assuming b is positive.\nAnswer: b**(49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3969*i**2 + 358*i**3 - 1342*i**3 - 1625*i**2 - 1256*i**3 + 184*i**3 wrt i.\nAnswer: -12336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41412552 - 101?\nAnswer: -41413053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(17) - -2*sqrt(17)) + 4 - (sqrt(170)*2)\/sqrt(10)))**2 + (4 + 1*(1 + sqrt(17)))**2*-6 + 2.\nAnswer: -208 - 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105063 is divided by 1030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/12 + 3*d**3\/2 - 3*d**2\/2 - 41*d. Let h = -8 + 13. Give t(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 13583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t - 12. Let a(g) = g**3 + 5*g**2 - 7*g - 4. Let o be a(t). What is the third derivative of -o*p**3 - 6*p**2 + 5*p**4 + 2*p**3 wrt p?\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (573*k - 37 + 37)*(4 + 2 - 3)*(1 + 1 - 4).\nAnswer: -3438*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 8:05 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -5.4089 and -2\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(40)\/sqrt(4))\/((2*sqrt(55))\/sqrt(11)) + (sqrt(162) + -1 + 3)**2 + -3.\nAnswer: 71*sqrt(2)\/2 + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + b**2 - 2*b - 1. Calculate h(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -164271, -328548, -492819, -657084, -821343, -985596?\n\"Answer: 3*g**2 - 164286*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 + 13885 - 27767 + 13883 - 3*v in the form g*v**3 + n*v**2 + z*v + c and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 4) in base 2?\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 196, 303, 410, 517, 624?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68206 and 634.\nAnswer: 21621302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 k when four letters picked without replacement from {i: 5, k: 4, z: 1, h: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2490 - 44785\/18. Suppose 33*o = 29*o - 37932. Let k = 113885\/12 + o. Find the common denominator of k and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 35 = 4*c - 10, -c = -3*k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/11, 1\/3, 586?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -400*s**2 - 25*s + 86. Let b be y(4). Is (-4)\/(-4) + 6 - b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let h be (-6)\/(-2 - f\/(-1)). Let q = -99 - -99. Which is the second smallest value? (a) 2 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from yifvcvx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3383360 - -5?\nAnswer: -3383355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*z. Let b = z - -10. Suppose -3*w = -s - 101, -5*w = -155*s + 151*s - 166. What is the remainder when w is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f + 0 + 62*f + 0.\nAnswer: 117*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 700*a - 681*a + 494 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 9:07 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261*r**5 - 65*r**3 - 6*r**2 + 15410*r wrt r?\nAnswer: 15660*r**2 - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 82 (base 13) to base 3\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3102418418 to the nearest integer?\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1206 - -1209. Let p = 7.93 - 8. Let l = -0.33 + p. What is the nearest to -1\/2 in -0.3, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o - o + 2*o)*(2*o + o - o)*(8*o + 0*o + 0*o) + (5 + 8*o - 5)*(2*o**2 - 5*o**2 + 2*o**2) - 7*o - o**3 + 7*o as b*o**2 + g*o + u*o**3 + d and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -0.06349251.\nAnswer: 0.93650749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 22*i - 36.\nAnswer: -2*(i - 9)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22429474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.02, -0.4, -0.2, 2, 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 19 = -5*p - 0*p, 2 = 4*f + 2*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - -2*sqrt(117))*6)\/(sqrt(36)\/sqrt(4)*-4).\nAnswer: -19*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -9 - (-20 - -14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 361809767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-7\/2)*x\/(x\/((x*x**(-1))\/x))*x assuming x is positive.\nAnswer: x**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.3 + -0.7. Let k = 9.5 + m. Which is the second smallest value? (a) -7 (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -981264 and 0.4.\nAnswer: -981263.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 21612858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -44113132?\nAnswer: 44113130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -302.3723 less than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -3 - (-3 + 1). Suppose -b*t - t = -4*h - 24, 2*t = -2*h + 20. Let d = -1 + t. Solve d = -4*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5135783771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1015618611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 13 + 2 = -3*m, -m + 9 = 4*o. Suppose -3 + 9 = -o*n. Which is smaller: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716412141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6802340418 - 6802340418 - s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18047.\nAnswer: 18047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*h + 3*i, -h - i + 5*i - 11 = 0. Suppose -h*x = -0*x - y - 120, -y = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 216 + -212. What is the closest to 0.2 in q, 0.5, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:18 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**8\/84 + z**7\/70 - z**6\/24 - z**5\/20 + z**4\/24 - 18*z**2. Determine p so that d(p) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -794852 and -1.\nAnswer: 794852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 580971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 160 = 3*y. What is the tens digit of (-2)\/4 + 1945\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q. Let s(p) = 67430299 + 347*p - 67430299. Calculate s(t(r)).\nAnswer: 1388*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*a**5*f + a**3*f**2 + 51*a**3 + 3*a**2*f**2 - 1693*a**2*f wrt a.\nAnswer: 1800*a**2*f + 6*f**2 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 15. Suppose 0 + n = k. Suppose -h - 5*l = -2*l - 50, -4*h = -k*l - 216. Is h 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 eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 19 = 2*g, p + g = -2*p - 23. Calculate the remainder when 17 is divided by ((-15)\/p)\/(40\/144).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10491 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o - 35*o - 3*q = 24, -45 = 3*o + 4*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 4) in base 13?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5962049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4999322182805 from 0.053.\nAnswer: 4999322182805.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 3. Let l be b(-2). Suppose -5 = i + 4*i, l*i - 1 = 3*a. Put a, -3, 3 in descending order.\nAnswer: 3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**4 + 2*d**2 + 7*d**4 - 3*d**3 - 42*d - 3*d**4 + 0*d**2 + d**3 in the form z + i*d**3 + h*d + s*d**4 + n*d**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -18, -5, 43 in increasing order.\nAnswer: -18, -5, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -660270 - -660273. Let w be 4\/6*(-2)\/6. Which is the closest to -0.1? (a) t (b) w (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/3 (c) -2\/9 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*h + 271 + 81. What is the lowest common multiple of 2 + 0 + 14 + -2 and h?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1611 + 0.2311. Let x = 0.15 + -0.45. Which is the closest to 0.1? (a) x (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = -292*g - 878 + 50 - 686 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 976*o**3*y*z**2 - 4*o**3*y + o**3 - 2*o**2*y*z**2 + 14029*o**2*z**2 - 2*o*y*z**2 + 2 wrt o?\nAnswer: 5856*y*z**2 - 24*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - -cd?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 + 59736*p - 1016668 = 0. What is p?\nAnswer: -14951, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = y - 8*f - 9, -2*f - 15 = -y. Let d = -13 + y. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -7*t**5\/5 + t**3\/3 + 11. What is the third derivative of q(r) wrt r?\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8991215, -17982463, -26973711, -35964959?\n\"Answer: -8991248*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2707786 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*u - 1746 = -12*u. Let g(d) = -58*d + 345. What is g(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0509 rounded to 3 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5340869*v**3 - 23239*v**2 - 23239. Let t(j) = 1379*j**3 - 6*j**2 - 6. Determine -6*a(w) + 23239*t(w).\nAnswer: 1367*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5 + 2*w**3 + 2*w - 7*w**2 - 4*w**3 - w + w**3. Determine i(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 64. Let r(g) = -32. Determine -11*r(l) + 6*t(l).\nAnswer: -6*l - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -136273?\nAnswer: -136277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 81 and 0.23.\nAnswer: 18.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/2739, 0 in descending order.\nAnswer: 0.1, 2\/2739, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = 311 - 91. Solve 4*c - k = -18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82.9 + 83. Which is the closest to 2\/3? (a) 5 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 0 + 8*y + 2*y**2 - 7 - 7. What is the units digit of b(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 7*n = 5*d - 38, 10 = 5*d. Solve -s = -5*q + 25, -3*s = -n*s + 5*q - 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 6. Give t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30509?\nAnswer: 30509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 3 - 333198\/(-42)) + (-14)\/49?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 + 1 - (25 - 30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**4\/4 + o**3\/3 - o**2\/2 - o - 4. Let k(y) = -6*y**5 + 8*y**4 - 6*y**2 + 2*y + 2. Let l(t) = k(t) + 2*z(t). Factor l(a).\nAnswer: -2*a**2*(a - 1)**2*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 5}. What is prob of picking 1 c and 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 8 - 12. Let k be t\/16*1 + 10\/104. What is the nearest to 1\/2 in 3, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = -s + 2*s, -j = 5*s - 23. Factor 6*m**2 + 3 + 0*m**2 + 15*m + j.\nAnswer: 3*(m + 2)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g**2. Let x(l) = 9*l**2 + 12*l. Let y(w) = 66*w**2 + 90*w. Let c(b) = -30*x(b) + 4*y(b). Determine 6*c(u) - 9*o(u).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 451949 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -584 + 871. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-70)\/(-4))\/((-1295)\/(-4070)*(-2)\/(-1862)).\nAnswer: 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y = -14*y + 5*l - 35268, -l = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 25, 54, 105, 184, 297, 450, 649?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 8*y + 32. Let t(w) = 3*w**2 + 23*w - 94. Give 17*b(j) + 6*t(j).\nAnswer: j**2 + 2*j - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2 - 788049*u - 788048 = 0.\nAnswer: -788048, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23.719 and 7.\nAnswer: -166.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -13.\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -2678259279\nAnswer: 2678259278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1160 + 1191. Calculate the remainder when 306 is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-83)\/464)\/((-12)\/(-16)) and -25\/132?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39136 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 281 + -2847?\nAnswer: -2586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**3*v**3 + 325*n**3*v + 24*n**3 + 2*n**2*v**2 + 47373*n*v**3 wrt v.\nAnswer: -24*n**3 + 284238*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*(348\/42)\/(((-2)\/(-21))\/((-10)\/60))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261874628*3.\nAnswer: -785623884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1270572*j**6 - 26778*j**2 - 3.\nAnswer: -152468640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175 + 169. Let w(y) = 17*y + 29. Let s(l) = -6*l - 10. Let f be 1\/(0 - 3\/(-33)). Let z(i) = f*s(i) + 4*w(i). What is z(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 take away 14926?\nAnswer: -14905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 6:01 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d - 8817. Let h = d + 158813\/18. Calculate the common denominator of h and -101\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4*v = 0. Suppose 2*l - 5*m + v*m = -10, 0 = -5*l - 4*m + 41. Let a = 6 - l. Are a and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24955*-793.6.\nAnswer: 19804288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)*z**(2\/19)*z)\/((z**(-3)*z)\/(z\/((z**(-4\/3)*z)\/z))) assuming z is positive.\nAnswer: z**(1436\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**48\/(f**0)**(-33) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7071 is divided by 3474.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211102200135 - 3?\nAnswer: 211102200132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 491129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -66. Which is the nearest to -2\/35? (a) -0.4 (b) -1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888170.\nAnswer: 2, 5, 88817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 9 = -2*g, -3*z + 23 = 4*g - 0*z. Suppose -j + 6*j - 20 = 0, j = -g*r + 194. What is the least common multiple of r and 7?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277363283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 - 2*r - 6. Let s be n(-21). What is the highest common divisor of 238 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-11) - (-1050)\/33 - 0. Let i = 16 - a. Let f be (-3 - -3) + 20\/i*-4. Solve 0 = f*c - 10*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2498, 2\/5, -45530.\nAnswer: -45530, -2498, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172\/693 - 2\/77. Sort -2.8, i, 4.\nAnswer: -2.8, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2560) - (sqrt(2560) - ((sqrt(2560)*1*1 - sqrt(2560)) + sqrt(2560))))\/(1*(sqrt(288) + -2*sqrt(288))).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/((-448)\/(-24)))\/((42\/(-136))\/(-7))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 1. Let h(v) = 2*v**2 - 53*v + 28. Let f be h(26). Determine u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60549995 and 1375.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**3 - 63*u**2 + 481*u.\nAnswer: -18*u - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/2651 (b) -0.1 (c) -5 (d) 1 (e) -2\/5 (f) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92833 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(2646) - sqrt(54))\/(sqrt(147) + (sqrt(147) + -1*sqrt(147))*4)*5)**2.\nAnswer: 16200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*t - 7 = -m, -6 = 2*t. Let z(f) = 64*f**2 + f**3 - 5*f - 57*f**2 - 4*f - m. Give z(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -3\/14, -5\/3, 8, 13, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 14*r**2 - 6*r + 4. Let k(u) be the third derivative of u**5\/60 - u**4\/24 + 5*u**2. Let x(q) = -12*k(q) + z(q). What is l in x(l) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221 + -109. Let d be 2\/(-14) - (-576)\/g. Solve -2*z = b + d, 3*z = 5*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -1)*2)**2 - 6*((sqrt(2) + 0)**2 + sqrt(2)).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52 - -aa7?\nAnswer: a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.26 from 13620.1.\nAnswer: 13619.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:27 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 w, and 1 d when four letters picked without replacement from wyyyqdjwqywd?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -20. Suppose -k = -5, 0 = 3*q - k - j*k + 146. Let l be q*((-2560)\/(-15) - 4). What is l rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 0)*-2 + -1. Let z be (-1)\/((-1)\/(-3)) - q. Let t(m) = m**3 - m**2 + 3. Let n be t(0). Sort -5, n, z in decreasing order.\nAnswer: n, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 8 = 10*j - 2*k, -3*j + 2*k = 12. Put -1, j, -11, -3 in ascending order.\nAnswer: -11, -3, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 11:56 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, y: 3, o: 1, x: 2, d: 4}. Give prob of sequence fy.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012002 - 1?\nAnswer: 2012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/990 and 28\/154765?\nAnswer: 30643470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -132\/7*m**3 + 6\/7*m**4 + 1512 + 222\/7*m**2 + 792*m.\nAnswer: 6*(m - 14)**2*(m + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*1*(-120)\/420\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930197298.\nAnswer: 2, 965098649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -73*p**2 + 32*p - 12. Let w(x) = 24*x**2 - 11*x + 4. Let b(v) = -6*r(v) - 17*w(v). Let q = 7 - 5. What are the prime factors of b(q)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by -904.\nAnswer: 11\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319 - -416. Suppose -r*q + 95*q + 430 = 0. List the prime factors of q.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 4, 4\/3, 0, -0.1, 0.03 in decreasing order.\nAnswer: 4, 4\/3, 1\/4, 0.03, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -1123*r**7\/70 + 1540*r**3\/3 + 150*r**2 + 12. What is the derivative of s(j) wrt j?\nAnswer: -13476*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1443, -2203, -2963, -3723?\nAnswer: -4483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 + 5*u - 6. Let r(h) = 83*h - 20. Let o(n) = 37*n - 9. Let x(f) = -9*o(f) + 4*r(f). What is -l(p) - 6*x(p)?\nAnswer: -4*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/1)\/((-18)\/(-3)). Let 4\/3*s - q*s**2 - 2\/3 = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 8. Let x(a) = a + 3. Let w(c) = c - 1. Let b(g) = y*x(g) + 2*w(g). Find the first derivative of b(d) wrt d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-3) + 196\/(-84). Sort n, 17\/5, -1, -0.7.\nAnswer: -1, -0.7, n, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 3*o - 3*o. Let g(w) = 30*w + 2*w - 22*w - 4*w**2 + 1 - 6. Let n(l) = l**2 - 2*l + 1. Let m(b) = -g(b) - 5*n(b). Calculate m(t(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c - 4. Let n(m) = m. Let i(v) = -a(v) - 3*n(v). Let f be i(-4). Suppose -6*h + 4*h = -f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -622\/19 + 11547\/380. Let h = u + 13\/5. Which is the nearest to h? (a) 9 (b) -2\/19 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 25*q**2 + 22*q - 7.\nAnswer: -(q - 7)*(q + 1)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Suppose 5*y = -d - 1, -y + 3 = -w*y + d. Which is the closest to y? (a) 3\/5 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5))**(-21))**46 assuming t is positive.\nAnswer: t**(966\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 - 2*d**2 - 2*d. Let b = 5 + -3. Let m be p(b). Suppose 4*h + c = 10, 0 = 5*c - 4 + 14. Solve h*a + y - 10 = -3, 0 = m*a + y - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 628\/25 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 - 2*k + 3*k**2 - 3*k**2 + 0*k to the form j*k**2 + t + y*k and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-34)*b)\/b)**33 assuming b is positive.\nAnswer: b**(-1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -40*h**2 + 38*h - 15. Determine f(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d + 209*d = 2685 + 1446. Solve -2*k = 4, -d = -a + 4*k - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2583029*l - 34 = 2583024*l, -4*o + 5*l = 68 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8. Factor 2*m**3 + 0*m**2 + 2*m**4 - 2*m**2 + m**5 - 3*m**5 + y*m**5.\nAnswer: -2*m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 94*f - 108. Is p(12) a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25399 and -14.\nAnswer: 355586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**6\/360 + x**5\/12 - 11*x**4\/24 + 41*x**3\/6 - 21*x**2. Let f(s) be the first derivative of o(s). Find z such that f(z) = 0.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -291*s**2. Let n(q) = -163274*q**2. Determine j(n(i)).\nAnswer: -7757594131116*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 53*m**7\/7 + m**4\/4 + 32*m**3\/3 + 259. What is the third derivative of r(g) wrt g?\nAnswer: 6360*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 1274988?\nAnswer: 5\/318747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*o - 207*o. Solve 5*t = 2*j + 8*t - 12, o = -5*j + 5*t + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.56 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87369900 by -3254.\nAnswer: -26850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 56. Let f(k) = -k**3 - 5*k**2 - 4*k. Let a be f(-4). Solve 4*n - w*x + 26 = a, -23 - 6 = n - 5*x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32712035.4 and -1.\nAnswer: -32712035.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 189389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14745300 to the power of 1\/2, to the nearest integer?\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/3 + 37175*g\/3 + 1334412 = 0.\nAnswer: -37067, -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - 4*x + x - 80 + 28 - 133 to v*x + j and give j.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/8))\/(u*u**(-6)))\/((u\/(u*u**(-2)))\/(u*u*u**(-1\/4)*u*u)) assuming u is positive.\nAnswer: u**(59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6901643 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -0.09 (b) 4\/3 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118142 - -118081.107. Let i = -61 - n. Let x = i + 0.10587. What is x rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 4*o - 4*o - 136 = -4*x, 0 = -2*o + 19975*x - 19970*x - 83 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689 divided by 6.\nAnswer: 689\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 3, -1\/304, -4, -4\/7 in increasing order.\nAnswer: -4, -3, -4\/7, -1\/304, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13086 and 179478?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.1, 1, -1.6807?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5 - 13. Let u be 15\/4 - 6\/h. Suppose 3*z - 15 - u = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45.038 and -0.2.\nAnswer: 9.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j - 8. Is 12 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 2*t + 17 - 38 to the form r + m*t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -0.1. Let d = -62 - -432\/7. Suppose 0 = -m - 6*o + o - 2, 10 = -5*m + 3*o. Which is the nearest to -1? (a) d (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w**3 - w**2 - 6*w + 1. Let p(d) = -d**3 + d**2 + d - 1. Let s(j) = p(j) + x(j). What is the second derivative of s(v) wrt v?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/751901 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(3)*1))\/(-2*sqrt(150)) - (sqrt(672)\/(sqrt(12) - sqrt(300)))\/(-2*sqrt(392) - sqrt(392)).\nAnswer: -47*sqrt(7)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5874475 divided by -1.\nAnswer: -5874475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2. Let z(a) = 161 + 22*a - 164 + 32*a. Determine m(z(l)).\nAnswer: 17496*l**2 - 1944*l + 54","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*g + 3241750 = -3278100. What are the prime factors of g?\nAnswer: 2, 5, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k**3 - 2. Let t be (-2)\/4 + -27*(-4)\/24. Let l be 0 + 1 + t\/4. Let g(z) = -144*z**3 + 27. Determine l*g(c) + 27*b(c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(343) + 0) + 2 + 1*sqrt(343))**2 + ((2*sqrt(28)*-2 - sqrt(28))*5)**2 + 1.\nAnswer: 56*sqrt(7) + 18877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1184 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*w - 27 = 0, -4*w = -4*i - w + 45. Let m be ((-7)\/7)\/(1\/i). Let a(p) = -6*p - 8. Is a(m) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 + -128. Let k = 6 + l. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6941 divided by -9\nAnswer: 6941\/9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 29. Let m be (5\/10)\/((-2)\/f). Find the second derivative of 2*t + 7*t - 5*t + t**m wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42 - -8 - -44) + -15 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 5*g**2 - 5. Let r be l(4). Solve 4*a = -3*v - r, 5*v + 4 - 1 = a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3901?\nAnswer: 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 4*z**2 - 4*z + 11. Let j be i(-5). Let g be 2\/3 + -5 + j. Let y = -8 - -3. What is the closest to 1 in 5, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*p + 4*q, 5*p - 3*q - 1 - 27 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*s - 13 = -10*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 1820265 + 2*s - s**3 + 270*s**2 - 1820263 in the form l*s**3 + p*s + c*s**2 + k and give c.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 9*y - 16. Let i be g(11). Calculate the greatest common divisor of i and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 15*t + 437. Let k = -744 - -715. Let o be d(k). Factor 0 - 4\/5*g**o + 1\/5*g**3 + 3\/5*g.\nAnswer: g*(g - 3)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021295686 rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(1\/4)*v**(-14) assuming v is positive.\nAnswer: v**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*c - 50, 29 = 5*p + c - 3*c. Suppose -q + 5 = -0. Find the second derivative of -2*y**5 - 4*y + p*y + y**q wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 437693 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1556216, 1556441, 1556666?\nAnswer: 1556891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 155?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.043437, -4?\nAnswer: -0.043437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.1388 + -1.7818. Let r = -0.157 + d. Let y = -16 + r. Round y to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2*w + 2, 5 = 5*p - 2*p - 5*w. Suppose n - 8 = -p*n. Suppose -3*d = 5*z - 45, -16 = -3*d + 2*z + n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from {t: 1, s: 6, g: 4, d: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-126)*6\/(-4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 5*t**2 - 4*t - 18. Let z be x(-5). Solve z*c - c - 2*y + 3 = 0, -c - 4*y = -9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 + 160*s - 576*s + 16*s**3 - 94*s**2 - 320 + 10*s**2 = 0. Calculate s.\nAnswer: -4, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-1344)\/9)\/((-18)\/81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 0.2. Suppose 8*h = 3*s + 9, -219 = -3*h + 2*s - 213. What is the nearest to w in 2\/17, -6, h?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.024, -2\/19, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwfjofoff. Give prob of sequence ffj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from rrrlodlorrrrkdr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i - 9 + 3*i**4 - i**2 + 7 - 2*i**4 to u*i**2 + p + t*i + m*i**4 + k*i**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 254 + -137. What is the highest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103 or -93?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 12, a: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 78*s**2 - 49*s - 13. Determine h(-3).\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21374*l**2 + 21379*l**2 + 8*l**3 + 53*l**3 - 33*l**3 - 42753*l**2.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c7a7 - -14?\nAnswer: 2c7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89*-426.\nAnswer: -37914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 3:16 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 11*b + 2. Calculate the least common multiple of s(-9) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 0.2, 0, 3\/2, -26?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1941*s + 23 = a + 1944*s, -22*s + 112 = 4*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 36*c - 29. Give b(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let m = 4 - n. Let s = 3 + -2. Which is the third biggest value? (a) s (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 412*d**2 + 417*d**2 - 831*d**2 - 22.\nAnswer: -2*d**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 + 5*f - 100 = 0. What is f?\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 447, 427, 407?\n\"Answer: -20*x + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2553 times -353674\nAnswer: 90292.9722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1865 is divided by 118.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 55 = 5*p - 11, 0 = -4*z - 2*p - 109270 + 109182 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + j + 88*j**2 - 176*j**2 + 5 to p*j + q + r*j**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/22*(-128)\/(-96).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203623621?\nAnswer: 443, 459647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264 is divided by 254.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**2*z**2 - 4*o**2*z - 10687*o**2 + 970*o*z - o - 4*z**2 wrt o?\nAnswer: -4*z**2 - 8*z - 21374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -216, -3, 0.4, -4, -4\/3, -388.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -6*i + 532. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -25 + 9 - -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. What is the lowest common multiple of i and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + m**2 + 0*m + (-1 - 1 + 1)*(-98*m**2 + 57*m**2 + 56*m**2).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1777 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 1, u: 3, f: 1, m: 1}. Give prob of sequence gvu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 374334 and 540.\nAnswer: 33690060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 10:12 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 122 = -5*p, 3*n - 32 = -8*p + 7*p. Let w(x) = -19*x. Let k be w(-1). Suppose -2*l + 111 = -k. Calculate the greatest common divisor of l and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:00 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 a when four letters picked without replacement from lnllknaannpk?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5883299.506 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 141*u**2 + 665*u. Let n(l) = -137*l**2 - 665*l. Let p(o) = 3*n(o) + 4*w(o). Find the second derivative of p(v) wrt v.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 9. Let q(v) = -1. Let d(n) = -6*q(n) - t(n). Let k be d(-8). Let y(c) = -3*c + 2. Let m(w) = 5*w - 3. Determine k*m(z) + 8*y(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 13*x + 6. Let k be a(7). Let o(z) = z + 6561 - z**2 - 6561. Let v(c) = -7*c**2 + 7*c. Determine k*v(n) + 6*o(n).\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012232 rounded to the nearest 1000?\nAnswer: 2012000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*c + 15, 2*c - 2 = y + 8. Is y less than or equal to 1\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5942020.5 microseconds in hours?\nAnswer: 0.00165056125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 4) to base 8\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 9.6. Let v = -11 + 12.1. Let k = 6.1 - v. Sort 3, z, k in descending order.\nAnswer: k, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**4 + i**3 + i**2 + i + 1. Let a(b) = -339*b**4 + 2*b**3 + 2*b**2 - 6*b - 4. Let l(o) = -a(o) + 2*h(o). What is the second derivative of l(c) wrt c?\nAnswer: 4092*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 658 and 1102996.\nAnswer: 7720972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - 7*a - 16. Give r(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 7*w. Let o(b) = -2*b**2. What is j(o(s))?\nAnswer: 8*s**4 + 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*q - 12, -3*n + 5*n - 6 = 4*q. Suppose 0 = 5*k + 4*t, -n*k + 0*t - 40 = -4*t. Let r(j) = -j**2 - 3*j - 2. Determine r(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7504 not equal to -7506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -3*j**6\/2 + 34*j**5\/5 - 23*j**4\/2 + 8*j**3 - j**2\/2 - 2*j + 10. Factor i(a).\nAnswer: -(a - 1)**4*(9*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 50. Let t(c) = c**2 + 9*c + 3. Determine t(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. What is the second derivative of -5*n + 0*n**3 + 3*n**3 + m*n wrt n?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 1. Let n(u) be the third derivative of u**4\/4 + u**3\/2 + 4*u**2. Let b(d) = n(d) + w(d). Give b(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a129a565 - 3?\nAnswer: -1a129a568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 - 2 + 2 + (2*h - 2*h - h**2)*(3*h**2 + 0*h**2 + 3*h**2) + (1 + 1 - 4)*(-h**4 - 3*h**4 + 3*h**4).\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343 + 345. Let c(p) = -p**2 - 5*p. Let x be c(-5). Suppose x*n = -t*n + 16. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8 - -3) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 2*o**4\/3 + 4750*o**3\/3 - 41*o**2. Let k be b(0). What is k rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, 4, -3\/5, 3\/4, -62690, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 9*l**2 + 7*l + 4. Give j(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10786585 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -4, 0.5, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(1 - 1 - 1)*(-472*q - 451*q - 33*q) as w*q + a and give w.\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (1 + -8)) + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-2\/5)*l))**30)**(-7)*((l*l*l**(-2\/3))\/l**(-1\/7))\/(l**1)**(-3\/26) assuming l is positive.\nAnswer: l**(161393\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -136485.0719 - -1323\nAnswer: -135162.0719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176269 and 2154?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 186491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from jjgxjggjxugjjj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 123 - 17 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 32. Suppose -w = -0*g - g. Let l be 4\/6 - g\/30. Is -0.1 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(240\/(-84))*-1)\/(1\/2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3 + 91398498*r**2 - 237135185*r.\nAnswer: 6*r + 182796996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 51*(0 + 4\/12). Suppose y*z = 18*z - 6. Let s(b) = -9*b - 13. Calculate the lowest common multiple of s(-3) and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 43 + 74)*(3*i - 2*i - 2*i + (-1 + i + 1)*(2 - 4 + 1))*(3*i - 4*i + 4*i).\nAnswer: -624*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 divided by 6.\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5112082ml to litres.\nAnswer: 0.0005112082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -258 - -261. Suppose 3*z - n*w = 51, -2*w - 74 = 3*z - 7*z. Calculate the highest common factor of 44 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**3 - 4*g**2 - 3*g**3 + 0*g + 9*g**2 - 8*g - 8. Let n be b(-6). Solve u = -4*q - 19, 4 = -n*q - 3*u + 7*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 3*v + 3. Let t(w) = 7*w - 5 + 2*w**2 + 3*w - 5*w + 0. Determine -3*t(f) - 5*u(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 351*o**2 + 8*o - 9. What is the hundreds digit of g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 221869 and -30.\nAnswer: -6656070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a3 + -242c?\nAnswer: -24cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1915998 and 26068?\nAnswer: 3831996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 114941 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8\/99, 2\/7, -3 in increasing order.\nAnswer: -3, -8\/99, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 - 4*g**2 + 7*g**2 - 2*g**3 - 3 to k + c*g**2 + u*g + j*g**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1030 (b) -0.8 (c) -1195 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 140?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -656\/393 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = n + 1, z + 2*n - 3 = -0*n. Suppose 16 = 2*a - o - o, z = 2*a + o. Let c(u) = -2*u - 3. Let v be c(-3). Solve a = v*r, 7 = l + l - r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t**2 + 75*t - 14. Let f be c(9). Solve f*k - 49 = -127 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 2*s. Let o be x(2). Suppose -3*q = 3*v - q - 45, -3*v + o*q = -45. Calculate the remainder when 29 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -570 divided by -5\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*p**3 - 3406*p - 111269 wrt p?\nAnswer: -42*p**2 - 3406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + -3 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 44*d. Let h(b) = 1. Let w(f) = 3*h(f) - s(f). List the prime factors of w(-36).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42048\/(-260172))\/((-56)\/(-63))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -27. Suppose 3*j - 2 = -8. Let p = x + j. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + k - 1. Suppose 4*m - 30 = -2*q, -16 = -4*m - 0*m. Let t = -5 + q. Give s(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, -31867 in descending order.\nAnswer: -0.1, -2, -31867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7175 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: Divide -92724 by -7727.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-10)*4 - 4. Is -2 + (-3466)\/(-12) - j\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from ewvvrrvmwtvrrer.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223 + -211 + (-1 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 10*g + 32. Let o be x(12). Suppose 30252 = 20*t - o*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -0.7?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4232 + 3468 = 0. What is k rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -65.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 - -101002110201?\nAnswer: 101002121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010010 (base 2) in base 7?\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283618*w**3 + 10 + 283563*w**3 - 567175*w**3.\nAnswer: 6*w**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.578061 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1731 - -1737.22. Let k = -69 + 70.22. Let q = t - k. What is the nearest to 2 in q, -2\/19, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -629.553 + 1.553. Let w = -628.00615 - i. What is w rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17851846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: 0.124 times -133389\nAnswer: -16540.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*(g\/(g**2\/g))\/g)\/g)**(2\/9)\/(g**(-1))**(1\/14))**(-1\/26))**10 assuming g is positive.\nAnswer: g**(95\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -5. Let v be (z - -5) + (-7 - -6). Solve b - 3*b - 2 = 0, v*n - 5*b = 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1. Let a = 0.14 + 4.86. Let w = 1.2 + -0.2. Put w, a, z in descending order.\nAnswer: a, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**2 + l + 137. Let w be -1 - (15\/(-1) + 0\/(-5)). Suppose -w*r = -10*r. Calculate the remainder when n(r) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 22*n + 17*n + 27, -3*g + 24 = -4*n. Calculate the highest common divisor of g and 126.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpm when three letters picked without replacement from {b: 2, q: 3, p: 3, m: 2, v: 6}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 30287 = -3627. Let s = -1413 - q. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 6, v: 8}. What is prob of sequence vt?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 13*s - 3*s + 6*s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + sqrt(637) + 2 + 2 + -2*(-1 + sqrt(637))))**2*-5.\nAnswer: -51680 + 3360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*n - 5 = 0. Suppose -2*r - 5*t + 8 = -7, 5*r - n*t + 15 = 0. Sort r, -5, 2.\nAnswer: -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1447 + -1475 - (-46 + 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjwj when four letters picked without replacement from {w: 1, j: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q + 300. Suppose 0*p - q = 4*p. Calculate the remainder when 30 is divided by 5 - 5\/(p\/9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 5*c**2 + 5*c - 5. Let d(r) be the first derivative of -3*r**4\/2 - 14*r**3\/3 + 7*r**2 - 14*r - 11. Determine 5*d(h) - 14*x(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -822944, -1645860, -2468738, -3291566, -4114332, -4937024, -5759630, -6582138?\n\"Answer: 2*j**3 + 7*j**2 - 822951*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*h + 50*h = -16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 542234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 39 = -11. Let k(h) = 6*h + 11*h**2 - 19*h**2 + u*h**2 - 4. Calculate the least common multiple of k(5) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Factor 2*f - 4*f**2 - 3*f**v + 2*f**3 - 5*f**3.\nAnswer: -2*f*(f + 1)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1087238285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h**2 - 163*h - 154. Calculate the remainder when 5374 is divided by c(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*l - 531*l + 39 = -3*j, 5*j = 5*l - 40 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1*sqrt(17))**2 + 3 - ((sqrt(1700) - sqrt(1700)*-2)*1)**2) + -4.\nAnswer: -15280 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39.9 + 40. Put 0, 0.2, g in decreasing order.\nAnswer: 0.2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1009, 1725, 2427, 3109, 3765, 4389?\nAnswer: 4975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145 - -1461819089.\nAnswer: 1461819234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 244 + -6b7?\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w - 2. Let l = 34 + 52. Let h = l + -87. Give q(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:46 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -944 + 972. Calculate the remainder when 196 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465\/4 at most as big as -0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3226841653?\nAnswer: 7, 460977379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56626.674 rounded to the nearest one hundred?\nAnswer: 56600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51624780*z**2 + 787074572*z wrt z.\nAnswer: 103249560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 0*b + 6*b**2 + b**4 - 20\/3*b**3 + 4\/5*b**5 + 21. Let d(u) = 0. What is u?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21564 and 684?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(1 - (2 - 0)). Let t = -11 - l. Let m(k) = -k**3 - 6*k**2. Calculate m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (sqrt(720) - sqrt(720)*2) + (-6*(sqrt(35) - sqrt(35)*1))\/sqrt(7).\nAnswer: -12*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.3 - -21.7. Let x = -25.0151 + r. Round x to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 10:26 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -21*i**3 + 18*i**2 - 18. Let v(s) = s**3 - s**2 + 1. Suppose -2*z + 4*z = 5*y + 84, 81 = -5*y + 3*z. What is y*v(u) - p(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50.1 - -46.1. What is the biggest value in z, -58, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 1255*q - 46604. Calculate z(36).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21 + 14)*(-96)\/14. Suppose -27*w = -11*w - 96. What is the highest common factor of y and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(2*sqrt(5)) + -1*sqrt(1176))\/(((sqrt(800) - -2*sqrt(800)*-5) + sqrt(800) - sqrt(800)) + sqrt(800)).\nAnswer: 13*sqrt(3)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:17 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*4 + -3 - sqrt(425)) + 1)**2 + (1 + -1*sqrt(425) + (-2*(0 + sqrt(425)) - sqrt(425)))**2.\nAnswer: -100*sqrt(17) + 10630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1487*r + 11553*r - 13021*r.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-184)\/(-12) + (-4)\/12 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 4. Let a be q(8). Solve 5*i + a = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 318 = -n, 710*n - 714*n - 4*f = 72 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*m - 8, 2*m = -y - m + 14. Solve -9 = -q - y*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330660 and 99?\nAnswer: 330660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 66680?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*n = -8, -7*x + 4*x - 4*n - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - w + 18 = 0, -7*s - w + 42 = -2*s. Suppose r = 3*d + 15, -5*r - 3*d = -d - 160. Calculate the remainder when r is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/7689?\nAnswer: 4\/7689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) -3 (c) -1\/3 (d) 488 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -2)*4*-2 - (-1 + sqrt(153) + 2 + sqrt(153) + -1))**2*6.\nAnswer: -5760*sqrt(17) + 93336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 1\/2*i**6 + 0 - 5\/4*i**4 - 5\/3*i**3 + 30*i + 1\/2*i**5 + 0*i**2. Let x(b) = 0. Calculate b.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + 1614?\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 7*h + 1. Determine d(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 67*h**6\/120 - 13*h**4\/24 + h**3\/6 + 11*h**2 - 2*h. Find the second derivative of r(w) wrt w.\nAnswer: 402*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/19)*t)*t**(-5\/16))\/(t**(-34))**34 assuming t is positive.\nAnswer: t**(351313\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2 - 6935\/(-1425).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4779 at least as big as -62146\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -559923.\nAnswer: -111984.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, c: 10, q: 2}. Give prob of sequence jj.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 133*c + 21. Let r(n) = 68*n + 9. Let t(g) = 3*f(g) - 7*r(g). Let l(p) be the second derivative of -p**4\/12 + 10*p. Give t(l(y)).\nAnswer: 77*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0 - 1\/6*t**4 + 37*t**2 + 0*t + 1\/6*t**3. Determine x(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -0.174308\nAnswer: -2.091696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 45, 100, 181, 294, 445, 640, 885?\n\"Answer: u**3 + 4*u**2 + 16*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 661*g - 657*g - 69, -4*g + 7*b + 25 = 5*b - 53 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 112 = -5*x, 0 = 2*x - 5*x + z - 74. Let r be (-2519)\/99 + 8\/18. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -23094?\nAnswer: 23099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -10. Let a be (1\/8)\/(j\/(-2)). Let g = -10 + 31\/3. What is the second biggest value in a, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.336652 + 0.663608. Let w = -106 + 94. Let q = p + w. Round q to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c + 10. Let f be h(2). Let b(q) = -q**3 - 4*q**2 + 3. Let d be b(-4). Let v = d - 3. Solve 0 = -5*k + 3*a - f, v*k + 2*k = -3*a + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2921*b - 16774 - 33582 - 48958 = 0 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 845, 1682, 2505, 3308, 4085?\nAnswer: 4830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552 smaller than 17084\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41910 and 11616690.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3632958?\nAnswer: 2, 3, 7, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -120*v - 8. Let b be n(-2). What is the highest common divisor of b and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y. Let h(t) be the second derivative of 2*t**3\/3 + t**2 + 3*t. Let g(b) = -4*b - 3. Let o(u) = 2*g(u) + 3*h(u). What is w(o(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**2 - k**3 + 27 - 25*k + 8*k + 6*k**2 + 13. Suppose -3*f = -13 - 35. List the prime factors of q(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -81.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -r + 3*r - 8, 0 = -r + 3*f. Which is the biggest value? (a) 0 (b) 2\/5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-6)\/(-52)*20\/(-30).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 45*h**2 + 9*h + 24. Let m(s) = -9*s**2 - 2*s - 5. Let u(d) = -24*m(d) - 5*x(d). Let u(k) = 0. What is k?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 491995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -11028, 3.\nAnswer: -11028, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -228*o**3 + 4*o**2 + 24*o + 16. Let u(c) = -c**3 - c**2 - c - 4. Calculate -h(m) - 4*u(m).\nAnswer: 232*m**3 - 20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117265927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1008)\/(-280))\/(9\/30).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**3 - 10*g**3 + 7*g**3 + 18*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70148*g**2 + 36*g - 706 wrt g?\nAnswer: -140296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 - 4*a**4 + 6*a**4)*((-2 - 4 + 4)*(-7 + 2 + 4) + 1 + 5 - 4).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.837g to milligrams.\nAnswer: 224837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 1 - 21. Suppose -5*s = -h + 21, z = -2*h + s + 25. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136 + 383. What are the prime factors of v?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2*1\/36). Let o = c - -14. What is the smallest value in 5, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1555 and 0.25.\nAnswer: 388.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2148.6 - -1760. Let t = -389 - g. Sort t, -8, 3, 5 in ascending order.\nAnswer: -8, t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69587.07 decades to centuries.\nAnswer: 6958.707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)*m)\/m*(m\/(m**(-2)\/m))\/m*(m*m*(m**0*m)\/m*m)**(-2\/63) assuming m is positive.\nAnswer: m**(223\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2387\/402 - -342\/67. Which is the fourth biggest value? (a) -18\/5 (b) -0.1 (c) 0.04 (d) 4 (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*2)\/sqrt(7)*-6)\/(1*sqrt(648)*-1).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27200\/43071 + -1\/879. Calculate the common denominator of b and 62\/(-210) - ((-154559)\/(-1905) - 81).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-56) + (-2935)\/26600*10.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -36\/65083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70599 * 69.\nAnswer: -4871331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6586272 a multiple of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + -8 - 27\/12. Let g be ((-3)\/6)\/((-5)\/6). Let f = -37\/90 + 1\/90. Which is the closest to f? (a) 0 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -7b?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*z + 185 = 0, -5*g + 228 = -g - 2*z. What is the remainder when g is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -707693 or -707692?\nAnswer: -707693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 178*t**2 + 3906*t - 220. Give z(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 669755, 1339510, 2009265, 2679020, 3348775, 4018530?\nAnswer: 4688285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(500) + -3 - (0 + sqrt(125))))*-6*-6.\nAnswer: -72 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 191 = -1787*a + 1784*a, -5*a + 5*b + 320 = 0. Suppose -5*f + 80 = -240. Is f >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681632 to the power of 1\/2, to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1412245527 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -170? (a) -1\/6 (b) -5 (c) 0.05 (d) -127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -55, 0.1, 0.5, -194, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.348227575 rounded to three dps?\nAnswer: -15.348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 5*p + 52. Suppose 3*d = -0*d + 33. Suppose p = 5*h + 4*a - d, a + 11 = h. What is the least common multiple of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2. Let n(g) be the second derivative of g**6\/90 - 23*g**3\/6 - 11*g. Let i(b) be the second derivative of n(b). Determine o(i(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 17 + 21, 49*c - 2*j + 908 = -104*c - 76*c - 6*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -16. Suppose -4 = -5*t - 179. Let q = i + t. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/83838 and -8\/89.\nAnswer: 83838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5844131*z. Let f(h) = -181*h**2. Give f(a(r)).\nAnswer: -6181849953274141*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 + 3*a**4 - 2*a**4 + (0 + 2*a**2 + 0)*(3*a - 5*a + a)*(124857 - 1789*a - 124857) to v + l*a**3 + h*a**2 + q*a**4 + b*a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1111100010111011000 (base 2) to base 16\nAnswer: 7c5d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*a + 1286*a + 1801*a to u*a + f and give u.\nAnswer: 2998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2586 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 42 = 2*i. Let l(x) = 8*x - 57. Let m be l(i). Let p be (-14)\/(4\/(-14) + 0). What is the highest common factor of m and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(19) + -1)*-5)**2.\nAnswer: -200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*m + 21 = 0, -40*l + 2*m - 8 = -39*l. Suppose 0 = 4*j - 3*u + 4, j + 2*u = -j + 12. Suppose -9 = j*z - 5*z. Sort l, 1, z in decreasing order.\nAnswer: z, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 175*x**2 - 8*x - 21. Let m be l(-4). What is the thousands digit of m\/(-4)*(8\/3)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5633 - -5643. What is the highest common divisor of 690 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f + 3*f - 4*f + (1 + 0 - 3)*(3*f - f + 0*f) - 6 - 3*f + 6.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 204.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 24830?\nAnswer: -148980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 10:11 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/4)\/x)**(-24\/13)\/(x**(2\/7)*x)**(16\/7))\/(x**4*x\/x**0*x*(x*x\/(x\/(x\/((x**3*x)\/x*x)*x)))\/x**(-1\/7)) assuming x is positive.\nAnswer: x**(-5442\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*m**2*u + 109*m**2*z + m**2 - 21*m*u - 79096*u - z - 7 wrt m.\nAnswer: -56*m*u + 218*m*z + 2*m - 21*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 393 = -80*h + 1515, -4*b = h - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1438 + -1408 - (36 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75)\/(-3) - (13 - 4). Calculate the highest common factor of z and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*-2 + sqrt(216) + sqrt(48)\/(sqrt(16)\/sqrt(2)) + sqrt(6))*-5)\/((sqrt(21) + sqrt(21)*2*-4 + sqrt(21))\/((sqrt(126)\/sqrt(3))\/sqrt(6))).\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.97\nAnswer: -0.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*s - 4, 2*x = 4*s + 2 + 8. Let u = 8 - x. Suppose -3*r + 18 = -3*m, -m + 3*m - r = -u. Put 0.5, m, -1\/23 in ascending order.\nAnswer: m, -1\/23, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(-1 + (2 - 0)). Let l(s) = 2*s - 7. Let j(o) = -4*o + 7. Let q(g) = -7*g + 13. Let z(p) = 10*j(p) - 6*q(p). Calculate m*l(h) - 6*z(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(sqrt(192) + 1) + 3.\nAnswer: -48*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**4\/24 + 2*h**2. Let r(a) = -15*a + 1. Let b(n) = r(n) + 4*u(n). Let v be (-3)\/(-3 + -2 + 2). Calculate b(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - y**2 - 6*y + 1. Let h be l(4). Let u = h + -22. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.0417 (b) 5 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/10 and -71\/1976.\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = p + l, 0 = -2*p - 4*l - 16. Let j be (p\/3)\/(6\/9). Let g = 1 + -1. Is g bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c + 10. Let b = 36 - 30. Let g(q) = 10*q + 8. Let l(k) = b*n(k) - 7*g(k). Determine l(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -11, -105 in increasing order.\nAnswer: -105, -11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 2*p**3\/3 + 2*p**2 + 2*p - 5. Let f be i(-2). Suppose 2*a + f*a - 48 = 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 1. Let n be y(-3). Suppose 5*l = -n + 25. Find the first derivative of -4 + 3 + j**l + 4 wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/14)\/((-6)\/40). Suppose -g + 27 = -4*g. Which is bigger: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52976 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 3. Suppose l + 50 = 3*l. Suppose f = -5*q + l, -5*f + 25 + 10 = -5*q. Suppose a = -f + 6. What is z(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + -20 + -20 + (-11 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 431005*a*z + 189371*z + 1 wrt a?\nAnswer: 431005*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 77*m + 35. Let x(g) = 13*g + 6. Let s be 46 - (-1 + 9 - -3). What is s*x(o) - 6*k(o)?\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7906000 rounded to the nearest one hundred thousand?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 890 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -18*u**5\/35 - 43*u**4\/14 - 88*u**3\/21 + 12*u**2\/7 + 140. Determine o so that s(o) = 0.\nAnswer: -3, -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 3*q - 2. Let j be 1\/1*(-6)\/(-2). Let t be n(j). Let c(u) = -3*u - 3. Determine c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13380 + 17237. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 4, -2, 1 in increasing order.\nAnswer: -2, 1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 19 (c) 747\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 55*x - 4 = 0, 0 = 4*v - 4*x + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 148 + 2 + -3 - (-313 - (-148 + -186))\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (129\/(-27) - -5) + (-6933)\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 93.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 1, -2\/17 in increasing order.\nAnswer: -2, -2\/17, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h - 52. Let y be j(-16). Suppose -53529870 = y*c + 70070130. Round c to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 24, -20, 1, -2 in descending order.\nAnswer: 24, 4, 3, 1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i**2 + 30*i**2 - 120*i**2 + 46*i**2 + 36*i**2.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*v - 11*v - 13*v + 28*v**5 + 12*v**5 wrt v.\nAnswer: 800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1881*l - 5612. Give w(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/30 (b) 0 (c) 2\/11 (d) 23\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299892 divided by 24991.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190 + -183.45. Let x = -6.6 + q. What is the closest to 1 in -1\/3, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1\/176, -0.7, -0.5, 0.3 in decreasing order.\nAnswer: 2, 0.3, 1\/176, -0.5, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - x**2 + 3*x**2 + (0*x**2 - x**2 + 3*x**2)*(-3 - 1 + 6) - 2 - 39*x**2 - 3585*x + 3585*x.\nAnswer: -32*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 5. Let p(s) = 3*s - 8. Let d(y) = 8*o(y) - 5*p(y). Let x = -4 - -8. Let i(m) = -4*m**2 - 2*m**2 + x*m**2 - 2*m**2. Give i(d(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19\/75 - -2\/25. Suppose 4 = -7*j - 3. Suppose 0 = -48*x + 49*x. Which is the biggest value? (a) z (b) j (c) x (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p - 2. Suppose 5 = -l + 3*y, 5*y - 1 - 4 = 0. Calculate the lowest common multiple of o(l) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10725 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b - 10. Let d be q(4). Let p = 29 + d. Suppose 5*s + p = 135. What is the remainder when 57 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 u, and 1 y when four letters picked without replacement from uyrkurkukrnrrrrrrzy?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37981 + -10?\nAnswer: 37971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9170 (base 10) in base 3?\nAnswer: 110120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 710 = o. Let s be 32*(-1 - 49\/(-9)). Let q = s - o. Which is the nearest to -0.1? (a) q (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*78\/75 + -5)\/(-1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235066624 (base 7) in base 12?\nAnswer: 4a84144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose 0 = u + 3*j + 11, -b*u - 21 = -6*u + j. Suppose 4*k + 18 = -5*v - 2, u*v = k + 5. Solve 4*n - 2*q + 5*q + 35 = v, 2*n = -2*q - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 2:20 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 times 807.3?\nAnswer: 71849.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 4*r**4 + 2*r**4)*(-79 - 9*r + 157 - 66).\nAnswer: -36*r**5 + 48*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3) + sqrt(3)*2 + sqrt(12)*-5.\nAnswer: -7*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, 15, 2 in ascending order.\nAnswer: -4, 2\/3, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/8)\/((-8)\/(-160))*39\/13?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/18*(-26)\/(-65). Which is the nearest to 1? (a) q (b) 0.5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100352*l + 501782*l - 100358*l - 100360*l - 100345*l - 100351*l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873305277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - 0) - (-10 + 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**3 - 6*x**2 + 4*x - 1. Let h(r) = 10*r + 14*r + 1790*r**2 - 1795*r**2 - 21*r - 4*r**3 - 1. Calculate 6*h(b) - 5*l(b).\nAnswer: b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g - 20. What is j(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959390?\nAnswer: 2, 5, 197, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 2*x**6\/3 + 3*x**4\/4 - 23*x**3\/3 + 10. What is the third derivative of f(s) wrt s?\nAnswer: 240*s**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (478 + -477)\/(12\/30)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20228 and 1868756.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0*x**5 + 11 + 0*x + 1\/120*x**6 + 0*x**3 + 3*x**2 + 0*x**4. Let d(l) = l + l - 3*l. Give -4*d(q) + z(q).\nAnswer: q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 192d9 + 264?\nAnswer: 1955d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 217661695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 192 (b) -1\/7 (c) 5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l - 5*z + 115 = 0, -2*l + 7*l - 7 = -0*l + 4*z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 60224?\nAnswer: 1\/15056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-9) + (-80)\/(-12). Let q = -13 - -18. Suppose q*k + r*v = 85, 2*v + 16 = 6*v. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x - 49*x = -108*x + 413142. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 471, 1184, 2133, 3312, 4715, 6336, 8169?\n\"Answer: -a**3 + 124*a**2 + 348*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 444030656 and 83255748?\nAnswer: 1332091968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**3\/3 + 16*w**2 + 44*w + 20. What is the first derivative of z(x) wrt x?\nAnswer: 4*x + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - (-4 + sqrt(75)))*-4 + -3)**2*6.\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 47. Suppose 2*y - 11 = 17. What is the lowest common multiple of w and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 208009088 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k**2 + 18*k**2 - 8*k - 5*k**2 + 7*k**2 + 16*k**2 as c*k**2 + n + o*k and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-45)*-87)\/(11\/(-33)). Which is smaller: d or 1051\/18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-34)\/(-85))\/(2\/10). Suppose -5*w + 3*b = 9, b + 3 = -2*w + 6. Factor 2\/9*m**3 - 2\/9*m + w + 0*m**j.\nAnswer: 2*m*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122757035 - 96827.\nAnswer: 122660208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3207 + -3198.135. Let l = 17 - 8. Let b = l - r. What is b rounded to two decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*v + 3*v**3 + 11*v - 7*v**3 + 2*v**5 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4 + 20*s**3 - 32*s**2 - 48*s.\nAnswer: 4*s*(s - 2)*(s + 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (445*d - 16*d + 104*d)*(9*d**2 + 10*d - 10*d) in the form j*d**2 + t*d**3 + n*d + m and give t.\nAnswer: 4797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chl when three letters picked without replacement from lclthlllh?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6) + 0)\/((-91)\/(-39))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 12 = -18*j. What is the second derivative of -y - 5*y + y**2 + 0*y**2 + 4*y + 6 + 13*y**j wrt y?\nAnswer: 78*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 431 and 2544193.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/5, 6, -3\/5, -16\/51.\nAnswer: -3\/5, -0.5, -16\/51, 1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -712*o**2 - 3*o + 43.\nAnswer: -1424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y + y + 3*y - y. Let j(m) = m**3 + 7*m**2 + 6. Let n be j(-7). Let c(f) = n*f + 4*f - 4*f - 2*f. Calculate z(c(d)).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41893302 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 13*o - 85. Suppose 0 = 4*i + o*i - 1854. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a factor of 42120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(11) - (sqrt(11) - (sqrt(11) - (sqrt(11) + 3*sqrt(88)\/sqrt(8))))) + -2).\nAnswer: 10 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v = -32*v + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 8 = 5*c - 13, 0 = 5*k + 4*c - 48 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2 - 2. Suppose f = 3*r - 11*r + 39200. What is r rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145817 at most 2145819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3133, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 = 4. Let m = 45 - 406\/9. Let q = -23\/36 + m. Put q, -7, r in descending order.\nAnswer: r, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 6) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9961\/776 - 69\/97. What is the common denominator of 19\/914 and k?\nAnswer: 3656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c\/(c*c**(1\/7))*c))*c*c**(2\/11)\/c assuming c is positive.\nAnswer: c**(80\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13748011 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 + 7 = 5*w - 5 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90407, 90322, 90237?\nAnswer: 90152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -12*n - 7. Let s(z) = -608*z. Calculate q(s(r)).\nAnswer: 7296*r - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 - 5*x - 9. Let u(n) = -7*n**2 + 8*n + 14. Let d(h) = -8*c(h) - 5*u(h). What is the derivative of d(i) wrt i?\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -889674, -1779336, -2668998, -3558660, -4448322, -5337984?\n\"Answer: -889662*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-27)\/12)\/(((-9)\/(-96))\/((-9)\/(-4))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5 = -3*m, 1 = -2*t - m - 2. Put t, 2, -10 in descending order.\nAnswer: 2, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -52*v + 49*v. Let g(n) = -4*n + 1. Calculate g(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 295 = p - l, -2*p = 3*l + 538. Let f = p - -1012. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/3, -3, -1, -1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 653289 and 0.19.\nAnswer: 653289.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-472732)\/(-63637)*42\/(-195)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + m - 260 + 201 = 0, -r = -15*m + 38 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194397 or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 at least as big as 550.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (2\/1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010919 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808848 a multiple of 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 - 128. Suppose 72 + 18 = z*o. Solve 0 = -8*c + o*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6654, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztymyzqtzzmtmaazammz. What is prob of sequence mmq?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(2299)*2 - (2*sqrt(57)\/sqrt(3) + (-1*sqrt(133))\/sqrt(7)))**2.\nAnswer: 10054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - -20. Let z = -34 + d. Let n(f) = 1. Let j(i) = -2*i - 15. Let s(u) = z*n(u) + j(u). Find the first derivative of s(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10475515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 106?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -30*r**2 + 10*r + 5. Let h(j) = -2*j**2 + 2*j - 2. Calculate 6*h(f) - z(f).\nAnswer: 18*f**2 + 2*f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3414.353314 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1 + sqrt(325))*1 + sqrt(325) + 2)**2.\nAnswer: -40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.28*-2.98.\nAnswer: -42.5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwis when four letters picked without replacement from {s: 1, u: 1, w: 4, i: 2, g: 2}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (501*x**2 - 229*x**2 + 2*x - 256*x**2)*(x**2 + 3*x**2 - 3*x**2) to the form t*x**3 + w*x**4 + j*x + m*x**2 + h and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2448) - (-5 + 2*sqrt(2448))) + sqrt(2448))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let b(l) be the third derivative of -l**6\/180 - l**3\/6 + l**2. Let u(p) be the first derivative of b(p). Calculate t(u(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1694 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22010220 + 0?\nAnswer: 22010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (2 - -33) - 2. Let a = c - 18. Let v be (0 + 2)\/(a\/4). Which is bigger: -2\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17841 + -17843.29. Sort 2\/15, 2, -0.5, h in descending order.\nAnswer: 2, 2\/15, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54\/5 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(26\/3)\/l*l))\/((l\/l**28)\/l))**(-47) assuming l is positive.\nAnswer: l**(-2726\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5, t = -h + 457 - 126. What is the highest common divisor of t and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 11:09 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 104\/4*1 - 1. What is the highest common divisor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33822 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {h: 4, l: 2, q: 3, i: 6, z: 2, j: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, r: 7, z: 1}. Give prob of sequence zrc.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (509 - 174 + 229 + 146)*(-5*p + 6*p - 2*p + (-5 + 4 + 2)*(-3*p - p + 2*p) + p + 0*p + 0*p).\nAnswer: -1420*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u = -12*u + 200 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 5, 12, 0.1, 72\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 1084.1?\nAnswer: 1084.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46226, -92433, -138640?\n\"Answer: -46207*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1925338.\nAnswer: -1\/962669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 103116 and 103116 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -564, -1272, -2260, -3528, -5076?\nAnswer: -6904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1368 = 3*q, 0 = 3*s - 3*q + 5*q - 817. Let h = s + -220. What is the highest common factor of h and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**3 - 3*m**2 - 3*m. Let y(o) = -10*o**3 - 5*o**2 - 5*o. Suppose -k - 64 - 401 = -3*p, 3*p + 9 = 0. Let f = 469 + k. Calculate f*w(d) + 3*y(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 17. Suppose 26 = v + 4*u, i = -4*v + 5*u - 5 + 4. Let o = v - 6. Solve -4*q = -o*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-12) + (2 - 0). Suppose k*o + 5505905 + 14095 = 0. What is o rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8*f + 1568 = 2*b, 4*b = 3*f + 3131. Suppose 4*r - o = 785, 2*r - 6*r + 2*o + b = 0. List the prime factors of r.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1783274071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 7*h**2 + 4 - 11 in the form z + q*h + f*h**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*a - 171*a - 12 + 4 + 8.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -1, 4, 6321, -4 in ascending order.\nAnswer: -4, -3, -1, 3, 4, 6321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 104973?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + p + 3. Let m(l) = 315*l**2 - 145*l + 9. Let h(d) = m(d) - 3*w(d). Find the second derivative of h(n) wrt n.\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5801893\/60 - 676884\/7. Calculate the common denominator of 83\/252 and o.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103900 - 53831. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10 - (10 - (-1155)\/(-25))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l + 30*l = 12222. What are the prime factors of l?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 4, 0, -4\/29, 0.2 in decreasing order.\nAnswer: 4, 2\/7, 0.2, 0, -4\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*c - 40 = 0, 5*c + 5 + 15 = 0. Suppose q - o = -4*q. Suppose 2*x + 0*x - 55 = -5*m, -x - q*m + 26 = 0. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {s: 1, d: 4, o: 2, j: 4, q: 1, x: 3}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1375 + 147 - 630 + 246)*(-2*g + 2 - 2 - 4 + 4 - 2*g + 2*g + 1 - 1 + (2 - 3 + 2)*(g - g + g) + 0*g - 13*g - 4*g) to c*g + j and give c.\nAnswer: 29016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/6 - 11*j**3\/6 + 2*j**2 - 14*j. Is 9 a factor of n(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/8 - 37\/24. Which is the nearest to 0? (a) 2 (b) f (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -1\/3, 1\/2, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*o + 63*o - 16*o**3 - 32*o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 12*w + h = -3711, -w - 3*h + 1247 = 0. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174483?\nAnswer: 3, 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 - 50*o**3 + 4*o**3 + 10*o**2.\nAnswer: -46*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*w - 1 + 4 + 168*w + 3 in the form a + y*w and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -30, -32?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k - 1. Let u be z(-6). Let d = 92 - u. Calculate the greatest common divisor of d and 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r. Let g be (-3)\/(-12) + 35\/20. Suppose -g*t = 4*t. Let j(n) = -12*n**2 - 8*n**2 + t*n**2 + 11*n**2. What is j(f(k))?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (418 + -427 - (-2 + -15))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1171748 and 2343496?\nAnswer: 2343496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 - 5*t**3 + 100 - 105*t**2 + 105*t - 100*t + t**4 + 0*t**3 = 0.\nAnswer: -4, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 2*z + 4*z)*(6 - 21 - 3).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 1831313.\nAnswer: 62264642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 335773.7?\nAnswer: -33577.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 11*m**2 - m - 8. Let q be z(-11). Suppose -q*a + 29 = -13. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112164224 (base 7) in base 6?\nAnswer: 402542155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.3 - 25.9. Suppose 3*g = -3*s - 18, 20 = s - 5*s - 3*g. Which is the nearest to s? (a) 0.2 (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-192)\/8))\/((-3)\/(-3))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwwyyfifzycf. What is prob of sequence zfyf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, p: 2, e: 5}. What is prob of picking 2 f?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*g**5*q + 1203*g**4*q**2 + 1640*g**2*q - g**2 + 2*g*q**2 + 5*q**2 wrt g?\nAnswer: -3360*g**2*q + 28872*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 1, q: 2}. What is prob of sequence qq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 1, z: 3, n: 6, b: 3}. Give prob of picking 1 z and 2 n.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62206 + 3046?\nAnswer: -57140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylllylly. Give prob of sequence lyl.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1368, -11112, -37538, -88986, -173796?\nAnswer: -300308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 117*i**2 - 5*i - 589. Determine k(-117).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**3\/(z\/(z**(-2\/9)\/z)))\/(z\/z**2*z**(-2\/7)))**(-37) assuming z is positive.\nAnswer: z**(-4810\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4025*k**5 + k**4 - 9*k**3 - 208154*k**2 wrt k?\nAnswer: -241500*k**2 + 24*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/81993328 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 4*d**3 - 2)*(18*d - 1 + 7*d + 50*d + (2*d + d - d)*(-4 + 9 - 1)) as g*d + b + q*d**4 + r*d**3 + m*d**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqtqrqemqqtqqeeqtf. Give prob of picking 1 r, 1 e, and 1 q.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*y**2 + (-1 + 2 + 2)*(-y**2 + 3*y**2 - y**2) - y**2 + 0*y**2 + 2*y**2 + (-8 + 3 + 2)*(2*y**2 - 2*y**2 + 2*y**2) as n*y + h*y**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 118\/9, -2, 43.\nAnswer: -2, -4\/5, 118\/9, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27213, -108816, -244811, -435192, -679953, -979088?\nAnswer: -1332591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, n: 4, i: 13}. What is prob of picking 1 h and 1 i?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11155714 a multiple of 1402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.73 - -0.07. Let c = 7.8 - v. Let d = 47\/33 + -12\/11. What is the closest to 0.1 in -2\/3, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-9) + (-21)\/(-9) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.27, -1, 0, 4, 11\/10 in increasing order.\nAnswer: -1, -0.27, 0, 11\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9568, 21700, 41930, 70264, 106708?\nAnswer: 151268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*192\/(-8). Suppose -24 = -k*s - 8. Solve -5*v + 24 = -d, -s = 3*d - 4*v + 26 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/5)\/((v*v**(-1\/2)*v)\/v))\/(v**(-2)\/v**(-1\/6)))**29)**(-2\/23) assuming v is positive.\nAnswer: v**(-638\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4777 and 588710.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1053) + (sqrt(26)\/sqrt(200) - sqrt(13)) - (6*1*sqrt(52))\/(2*1*sqrt(4)))**2.\nAnswer: 204*sqrt(13)\/5 + 35413\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7067 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: Do 87 and 89 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1333 - 1331. Which is the nearest to 8.5? (a) -0.3 (b) -1\/3 (c) u (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 13*j + 9*j - 14 = 0, -2 = 3*k + 2*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107827, -107831, -107835, -107839, -107843, -107847?\nAnswer: -107851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*s - 6 = 0, z - 6*z = -4*s - 15. Let h(p) = p. Let v be h(z). Suppose k + d = 8, -v*d + 22 = 2*k - 4*d. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1092*g**2 - 3. Let q(f) = f**2. Give c(q(a)).\nAnswer: 1092*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3414123 - -32?\nAnswer: -3414051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + a - 4*a - 17, -3*d - a - 11 = 0. Sort 5, -5, d, -145.\nAnswer: -145, -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 29. Let i = 34 - 22. Calculate the common denominator of 67\/10 and -103*(u\/i - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 7:32 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 2 = -4*w. Suppose j + w = 4*j. Solve j*z = 5*y + 22, y + 13 = 5*z - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 60917.\nAnswer: 5\/60917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 5*k)*(2 + 10*k - 11*k + 2).\nAnswer: -4*k**2 + 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*p + 3*p + 6, -a - 3*p - 6 = 0. Let b(i) = 5*i**2 - 3*i**2 + a*i**2. Let l(g) be the third derivative of g**4\/4 - 591*g**2. What is l(b(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + k**2 - k**2 + (-4*k + 2*k + 3*k)*(-4*k**2 + 0*k**2 + 2*k**2) + 7*k + 655*k**3 + 2 - 295*k**3 - 252*k**3.\nAnswer: 104*k**3 + 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 28*r + 10. Let m be g(-13). Let t = 13 + m. Which is the second smallest value? (a) t (b) -0.3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 28*p**3 + 2*p**2 - 3*p + 2. Let v be t(2). Calculate the highest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -202, -5\/4, -17?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2473.645966 rounded to the nearest 10?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let s be a(-2). Suppose 2*f + 7*h + 4 = 0, -f - 16 = -4*f - 5*h. Solve -3*t + s*j - f = -t, -14 = t - 5*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 85\/(-2)*(-3 + 27\/(-15)). Suppose -4*r + d - 32 = 0. Let f = r - 23. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*y - 417*y + 233*y - 548*y + 63418 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 11) to base 3\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) + (-2)\/4 + 1. Solve l = 4*u + 4*u - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7823263?\nAnswer: 7, 1117609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 664, 3378, 10784, 25240, 49104, 84734, 134488?\nAnswer: 200724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1793 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 19 = -4*q - 3, 2*r + 2 = -2*q. Suppose -q*g - 33 = -4*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10110101?\nAnswer: 10111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 445 + -265. Suppose 4*l - n + 2*n - w = 0, 0 = 3*n. Suppose -5*u + 4*k + l = 0, -4*k = -2*u + 5 + 1. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131293, -264129, -396965, -529801, -662637?\nAnswer: -795473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8454166*j + 8454166*j + 32*j**3 - 14*j**3.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8486 is divided by 4221.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-30)*-11 + (-4)\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1, -130, -5.\nAnswer: -130, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12838 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, -100, -474, -1000, -1678, -2508?\nAnswer: -3490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**3 + 3*p**2 - 3*p + 1. Let v(u) = 14*u**3 - 8*u**2 + 8*u - 3. Let r(q) = -4*v(q) - 11*x(q). Factor r(a).\nAnswer: -(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-5 + sqrt(832)*-1 + sqrt(832) - 5*(sqrt(832) + 3)) + -3)*3*4)**2.\nAnswer: 2384640*sqrt(13) + 27642384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198216796.\nAnswer: 2, 7, 137, 44623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4290675 and 115425?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:45 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Suppose -8 = -p*f + f. Does 10 divide (-115)\/(-10) + (-6)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -7, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -43*h + 15 + 52*h - 7. Let g(s) = 4*s + 4. What is -13*g(y) + 6*t(y)?\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 19*s + 5. Let r be x(-10). Solve 3*j = -0*j + r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 5. Suppose -3*r + f*l = -9, -5*r + 2*r + l = -17. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112*(-260)\/(-1365)*6\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 30*x + 1. Let u be o(15). Differentiate -4 - 6 + 4 + u + 59*m wrt m.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13206 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 684?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((176\/(-110))\/((-396)\/(-135)))\/(((-10)\/(-11))\/(-2))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u + 2*u)*(-1251*u**3 - 37*u**4 + 6*u + 1251*u**3).\nAnswer: -37*u**5 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36591534 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.118 rounded to 0 dps?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23.272 or 0?\nAnswer: 23.272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 411, 34, -591, -1464, -2585?\n\"Answer: -124*x**2 - 5*x + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643410829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbmb when four letters picked without replacement from mdbbkrmr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v - 4345098 = -112*v. Does 164 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -708 - -718. Solve -71*k + r = -66*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 702746.2 millennia?\nAnswer: 70274620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -99\/2*m**4 - 45\/2*m**2 + 3*m + 27\/2*m**5 + 0 + 111\/2*m**3 = 0. What is m?\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b. Let c be l(4). Let z = c - 12. Solve -3*r = 3*h + 18, -5*h + 0*h - 4*r - 26 = z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153) + (sqrt(153)*1 - sqrt(153)) + sqrt(153)))\/(sqrt(180)\/sqrt(5)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + 37 + -36\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 12 - 8. Suppose 0 = -4*d + 163 - 1455. Is (d\/(-2))\/(c\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1081*i - 4464 + 21989 + 1933 = 0 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 11:36 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d**2 - 49*d - 139. Is k(51) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1943326.800786 - -1943350.7. Let j = -23.9 + n. Round j to five dps.\nAnswer: -0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in -4, 0, 5, -14\/9, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68514 and 456?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from iyrbhmm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 833, 913, 1035, 1187, 1357, 1533?\nAnswer: 1703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 4408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000201283 rounded to 6 decimal places?\nAnswer: 0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48.5 * 4.8\nAnswer: 232.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*l + 20, -3*l - 5 - 16 = -3*k. Let x = 8 - k. Solve -2*m = -x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 674 + 71384 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2063503.\nAnswer: 4\/2063503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k + 25*k + 5*h = 27*k - 596, 5*h - 4*h = -4*k + 32 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k**2 + 7 + 0*k - 2*k + 7*k. Let n(c) = -2*c - 12 - 3 + 2*c**2 + 17 - 5. Determine 7*n(f) + 3*o(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*c - 119*c = 255965382. Let g = c + -61740598. Round g to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 6*d - 4*d + 4. Let g be -4 - ((-6)\/(3 + 3) + -5). Let q be f(g). Which is smaller: q or 19?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 7*k - 4. Let l be q(6). Suppose 4*z - 1 = -l*c - 5, 3*z = -3*c - 15. Let w be (-2)\/c - (-28)\/16. Solve -1 = -w*f + 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -24. Let q(b) = -4*b**3 - 3*b**2 - 2*b + 1. What is the tens digit of q(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5\/4)*x)\/(x**(-5\/2)\/x) assuming x is positive.\nAnswer: x**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(75) + sqrt(75) + 2 - sqrt(75)) + -4)**2 - (-1*(-2*sqrt(75) + sqrt(75)))**2*-6.\nAnswer: 960*sqrt(3) + 3406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*d + 169*d + 105*d**2.\nAnswer: 105*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-2)\/(-4))\/1)\/(41\/328). Sort 3, -1, -4, k in decreasing order.\nAnswer: k, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:16 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -2*a - 67 + 163, -2*x + 3*x + 40 = -2*x + x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 5*i - 4. What is the closest to 0 in i, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 229*q**4 + 226*q**4 + 2*q + 2*q**3 + 0 in the form s*q**4 + t*q**3 + m*q + u + z*q**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - (-284)\/(-32))*16. Sort u, 5, 3, 75 in ascending order.\nAnswer: u, 3, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*r + 5*o + 24, -3*r - 2*o = -28. What is the remainder when ((-104)\/(-12))\/(50\/(-15) + 4) is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230*(-5)\/(-130) + (51 - (-756)\/(-18))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16014 divided by -3\nAnswer: 5338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9370415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*r - 863575 = -35*r + 150125. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 7 - 9 = 0. Let s = c - -8. What are the prime factors of (3\/s)\/((-11)\/(-308))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 283.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwf when three letters picked without replacement from {f: 1, d: 1, w: 2, v: 2, m: 1, o: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 23 = -20. Let r be (1 - -1) + (i - -7). Suppose m + 4*m + 104 = 2*q, -q = 2*m - r. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3396532 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26979, 26982, 26985, 26988, 26991?\n\"Answer: 3*d + 26976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258 = 86*b - 43*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 11*f + 14. Calculate the remainder when 99 is divided by i(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6409868 by 5132.\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -343, -333, -311, -271, -207?\n\"Answer: g**3 + 3*g - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 52*d - 190. Let v be i(48). Solve 3*n = -21*w + 23*w + 22, 0 = -v*n + 3*w + 23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) + (-36)\/(-20). Sort n, 5, -2 in increasing order.\nAnswer: -2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1297*h**3 - 807*h**2 - 10742393*h?\nAnswer: -7782*h - 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, r: 12}. Give prob of picking 3 t.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 4\/5, -14\/37, -0.4?\nAnswer: -14\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 895066631 to the nearest integer?\nAnswer: 29918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64397700 divided by -4.\nAnswer: 16099425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 21 = -2*i + 3*z, -4*i + z = -22. Suppose -84 = -l + i*l - 4*p, 4*l + 48 = -5*p. Is l at most -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14752 = 4*b + j, -17*j - 11074 = -3*b - 19*j. Calculate the remainder when b is divided by 142.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:40 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -125. What are the prime factors of i?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*c = 0, -c + 51 + 15 = -1263*n + 1270*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4359, 0, -5, -2921.\nAnswer: -4359, -2921, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4454 - 4319. Suppose 3*q = 10 + 8. Calculate the highest common factor of q and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-1050))\/(4\/(-10))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m\/m**(-3\/7)*(m**1*m)**(1\/7))\/(m**(-3\/8)\/(m\/(m*m**(6\/11)))*(m*m\/(((((m*m**0)\/m)\/m)\/m)\/m))\/(m\/m**3)) assuming m is positive.\nAnswer: m**(-4593\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/26)*c*c)\/c)\/(c\/(c*c**(-3\/5))))**(5\/6) assuming c is positive.\nAnswer: c**(59\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.6 + 0.85. Let s = 0.25 - u. Let q = s - 11.4. Which is the closest to -2\/3? (a) 0.06 (b) q (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*t - 2 + 4 = 0, -p - t = -2. Let d = 50.6 + -51. Which is the third smallest value? (a) 5 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -20. Suppose 2*o - 8 + d = 0. Suppose -2*v + 2*x = 6*x - 20, -4*x + 8 = -o*v. Calculate the highest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81273 - 44924. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5309477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14335 and 289140?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713?\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*i - p + 48, 5*i - 84 = -4*p. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/4*p**3 - 3\/8*p**4 - 3\/4*p + 3\/8*p**2.\nAnswer: -3*p*(p - 2)*(p - 1)*(p + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g + 2*g + (-7 + 2 - 6)*(-14 + 2*g**2 + 14))*(-2 - 2 + 3).\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 20, 3*p = 3*m + 5*p - 58. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855159?\nAnswer: 3, 61, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f = -42*f - 2*n + 5, -2*n + 2 = 0. Does -1\/736 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 35?\nAnswer: 53\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 6*t + t)*(3*t - t + 3*t) + (0*t + 2*t - t)*(-14 + 14 + t) to q*t**2 + j + m*t and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*j - 6*l, 3*j - 3*l = -12. Let f(i) = 2*i + 4. Let v be f(-4). Which is the third biggest value? (a) j (b) 2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14281\/17870 - -3\/3574. What is the biggest value in 0.4, 4\/3, p, 2\/37?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -5*i**3\/3 - 386. Let w(z) = -2*z**2 - 23. Calculate a(w(t)).\nAnswer: -20*t**4 - 460*t**2 - 2645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or -2213\/49?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -13. Let p(h) = 232*h - 3693. Calculate the remainder when p(16) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*d - 3913 = -3913 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 512 = 4*q. Let s be (2 + -3)*(q + -2). Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 11. Let y(s) = -s**2 - s**p - 3 + 2*s**3 + 0*s**2 + 10. Calculate the remainder when y(0) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30144)\/432 + 2\/(-9). What is the remainder when 131 is divided by 304\/14 - 20\/n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72989553 divided by -3.\nAnswer: -24329851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6942 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 90, 144, 188, 216?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, -33557 in increasing order.\nAnswer: -33557, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.02, -5\/6, 39, 4\/7, -0.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 60 = -176. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -4. Let s be 2 + 2\/(-3 - h). Let t(p) = -3*p**3 + 4*p**3 - 1 + 0 - 2*p**2. Determine t(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Let y be a\/(-2) + (2 - 1). Suppose -u + 2*q - 3 = -1, y = 3*u - 5*q + 4. Solve 0*n = u*n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -3*q**5\/5 - 72*q**4 - 3162*q**3 - 57660*q**2 - 268119*q + 2938. Factor i(j).\nAnswer: -3*(j + 3)*(j + 31)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17675 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x + x - 2*x)*(2*x + 2*x**2 - 2*x) + (-8*x + 0*x - 3*x)*(5*x**2 - 2*x**2 - 2*x**2) to the form i*x**2 + b + n*x**3 + p*x and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 - 5*o + 1. Let y(b) = 9*b**3 - b**2 + 15*b - 2. Calculate 8*a(t) + 3*y(t).\nAnswer: 3*t**3 - 3*t**2 + 5*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 462\/57 + (-8)\/38*(-10)\/(-20). Let n(r) = -13*r + 40. What is n(c)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1855000 (base 11) to base 3.\nAnswer: 12220112000222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-8) - (-5)\/(10\/63). Let r = 41 - c. Let g(k) = -2*k**3 + 2*k**2 + 4*k + 3. What is the remainder when g(-2) is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*t + 1, -3*p - 2*t = 7. Let q = -28017\/5 - -5627. Let r = q + -836\/35. Which is the closest to p? (a) -0.2 (b) r (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 155536175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/(54 + -29) + -2 + (6 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000290672 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 3*p + 3. Let y be f(-6). Let q = -0.02866 - 1.97134. What is the closest to 0.1 in q, -3\/2, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-3)\/3))\/(3\/5*(-194)\/582)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 3:22 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4047 (base 8) in base 12?\nAnswer: 125b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 349 = -4*x. Let q be x\/36 - (-1 + -2). Which is the third biggest value? (a) -0.4 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + 16*u**2 + 25*u - 66. Calculate y(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143700, 285355, 427010, 568665?\nAnswer: 710320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 0 + 92 + -2 + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4*u + 5)*(0 - 1 + 0) - 6*u + 33450 - 33450 - u + 2*u + u in the form c*u + o and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(1100)*-3*1 + 0)**2.\nAnswer: 801900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 - 7*n - 7. Let b(j) = -j**3 + 5*j**2 + 3*j - 8. Let u be b(5). Let o(a) = -5*a**2 + 6*a + 6. Determine u*o(q) + 6*v(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 33141*o**3 - 25*o**2 - 20. Let x(u) = 9064064*u**3 - 6840*u**2 - 5472. Give 1368*v(n) - 5*x(n).\nAnswer: 16568*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -24. Let c(s) = 4*s**2 + 10*s - 1. Let i(r) = -3*r**2 - 9*r. Let l(f) = -2*c(f) - 3*i(f). What are the prime factors of l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f - 5. Let s be q(5). Suppose -6 = 3*d - 7*d + 3*g, -8 = 4*g. What is the remainder when 34 is divided by d - (s + 1)\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -378*p**5\/11 - 540*p**4\/11 + 36*p**3\/11 + 16*p**2 - 26*p\/11 - 4\/11 = 0.\nAnswer: -1, -2\/21, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 53*(-9 + 2) + 2 + -1. Let r = 552 + d. Suppose -18*n = -319 + 67. Calculate the highest common factor of r and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 97, 154, 213, 274, 337, 402?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 24)*3\/1. Suppose 4*q = 3*b + 137, 2*q + 0*q = -b + v. Suppose -q + 6 = -4*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + y**2 - 41*y - 11. Let n be f(6). Calculate the remainder when n - 1 - (-150 - -2) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.79 - -0.32. Let a = x + -0.03. Let b(f) = -26*f + 879. Let t be b(34). What is the closest to 1\/2 in 0.07, a, t?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/104 and 19\/20.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + p + 436 = -10*x, -4*x - 4*p = -368. What is the remainder when x is divided by -21*6\/(-9) - -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y - 5*x - 31 = 37*y, -3 = x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/21*-2)\/(((-1196)\/207)\/(-26))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 13*h + 44. What is i(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v**3 + 9*v**3 + 15*v**3)*(4 - 4 - 10*v).\nAnswer: -80*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (54\/(-21))\/(159\/(-130592)). Which is smaller: k or 2113?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1059 + -1530. Let v = 587.5 + r. Round v to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8606146.000066 - 8606124. Let c = -21.97 - 0.03. Let k = c + n. What is k rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6280184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -664, -671, -678, -685, -692?\n\"Answer: -7*q - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -3*l**3\/2 - 5*l**2\/2 + 80*l. Calculate d(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -17*m**2 + 2*m + 2. Let s(f) = -f**3 + f**2 - f - 1. Let i = 23615 + -23617. Calculate i*s(g) - j(g).\nAnswer: 2*g**3 + 15*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k + 0*k + (-1 + 1 + 1)*(k + 0*k + 0*k) + 6*k + 12 - 12)*(-4 + 4 + k).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-46))\/((-2)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-570)*45)\/(2\/(28\/1))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 26132*a**4 + 104538*a**3 - 156812*a**2 + 104543*a - 26136.\nAnswer: -(a - 1)**4*(a + 26136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**6 + 77*j**3 - 27*j**2 + 4*j.\nAnswer: -120*j**3 + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/6)\/(21\/56). Let z(h) = -56*h - 1. What are the prime factors of z(s)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 10*d + 26. What is the greatest common divisor of d and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (6 + -1) - (1 + -12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/((-4)\/(-174)). Let d = 4 - -1. Suppose t - 3*i = d*t - l, 0 = -5*t - i + 39. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 2, d: 8}. Give prob of picking 2 c and 2 d.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3.6. Let m = 1.2494 - -0.0506. Suppose 2*z = z + 1. Which is the closest to 0.1? (a) f (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 0 + 0*j + 0*j**5 - 22\/3*j**3 + 0*j**6 + 18*j**2 + 0*j**4 - 16\/105*j**7. Differentiate i(b) with respect to b.\nAnswer: -128*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 21 = 2*l, 0 = 194898*l - 194899*l + 2*r - 14 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 110924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*y**2 + 592*y**2 - 293*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22927805 bigger than 22927835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163332 is divided by 81475.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39201233719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 207 = 3*j + 3*n, -72 = -j - 2*n. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 228 + -224. Find the common denominator of 97\/64 and 2\/((-816)\/(-1497)) - o.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 100 = 0. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67913 and 1803?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3722 and 8.\nAnswer: 29776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hha when three letters picked without replacement from {j: 8, a: 2, h: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - v**2 - 2 + 2*v - 2*v + 2*v**2 + (2 - 4 + 3)*(11*v**2 - 49*v**2 + 10*v**2).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by -11800.\nAnswer: -167\/11800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330076944?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/5 + 14212548*t\/5 = 0?\nAnswer: -7106274, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 5*r + 4. Let h(i) = i**3 - 5*i**2 + i + 2. Let c be h(5). Suppose c*o - 25 = 2*o. Suppose -o*n - 11 = 2*v + v, 20 = -5*n. Give u(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 2)*3 - 1*sqrt(1377)) + ((sqrt(17) - (3*sqrt(153)\/sqrt(9) - sqrt(17))) + -3)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 + 127.3. Let m = n + 0.7. Suppose -2*p = p. What is the nearest to p in 1, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/28)\/(-5))\/((-184)\/322).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {t: 1, d: 7, h: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1))**(-20)*(h**0)**(-31) assuming h is positive.\nAnswer: h**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2878 + 2897)*(-4)\/10*(7 - 2).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34457 is divided by 401?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**3 + 56*l + 118 - 2*l + 4*l**3 - 4*l**3 - 120 to the form y*l + s*l**2 + k*l**3 + w and give y.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -41.1. Let r = j - -30. Which is the second biggest value? (a) 1\/3 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*a - 3119, -44 + 3159 = 4*a - 5*y. Which is smaller: 783 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - -4 - (0 - 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 8*j + 8. Let x be g(-6). Let l be 72\/(-9)*(-2)\/4. Let p = l + x. Solve -3*r - 2 - 7 = p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l - 6. Let m be z(-1). Let b be ((-24)\/m)\/(8\/28). Solve 0 = -4*c + 2*v + 10, 2*v + b = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5*-28)\/(-1) - (0 + 1). Suppose -5*h + 5*s - f - 96 = 0, 3*h + 3*s = -153. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*h**2 - 2*h**2 + 31*h**2.\nAnswer: 73*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 10*i + 9. Let l be d(-10). Suppose -l = 7*a - 51. What are the prime factors of (a - 5)\/(1\/32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 120*z**2 - 36*z - 36. Let k(o) = 17*o**2 - 5*o - 5. Let w = 792 - 769. Suppose 22*m + w*m = -1620. Determine m*k(x) + 5*n(x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4543528342?\nAnswer: 2, 2271764171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -893.6 * 3214\nAnswer: -2872030.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**2 - 41*c - 17. Let b = 1362 - 1372. Give i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46300 and 527820.\nAnswer: 2639100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**2 - 11*q - 52. Is 63 a factor of x(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -63*v + 42. Is u(-9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360339 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132)*-3 + sqrt(132)))\/((sqrt(24) + sqrt(24) + sqrt(24)*2)\/sqrt(2)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.595 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47586 and 1648515?\nAnswer: 23079210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -100?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:35 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 14. Let h be b(-6). Suppose -h*q - p - 202 = 51, 4*q = 3*p - 481. List the prime factors of (-9 - -4 - -9) + (-1 - q).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - (-35)\/(-14). Let b be ((-22)\/165)\/(1\/t). Let u = 304 - 304.2. Sort u, -1, b in descending order.\nAnswer: b, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2\/7 (c) -4 (d) 0.108 (e) 1.64 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6312.986 + 1050.5.\nAnswer: 7363.486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1151 or 57?\nAnswer: 0.1151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. Let p be 10\/t + 6\/(-18). Solve -p*a + 4 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 4944*m + 54505.\nAnswer: -(m - 4955)*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + f = 4*f + 14, 10 = -4*l - 2*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:53 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428804 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: Calculate the least common multiple of 27 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((156\/(-156))\/(4\/(20\/(-535))))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 + 3*u**2 + 7*u**2)*(u**2 - 6*u**2 + 2*u**2) as k*u**2 + o*u + v*u**4 + w + q*u**3 and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37\/24 + 1\/24. What is the third biggest value in u, -1\/24, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 4*u + 2*u - u**2. Let g(z) be the third derivative of 7*z**4\/12 + 2*z**2. Give g(w(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-19)\/((-266)\/(-21)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2400 and 3?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/79 (b) 1 (c) 4 (d) 2 (e) -2\/5 (f) -3 (g) 251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = z + 18, 25 = 2*b + 3*b. Find the common denominator of -23*z\/(-6)*234\/572 and -91\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 109 + 27*a - 29*a + 722 - 2*a + 1 - 1 + (3 - 3 + 2*a)*(1 + 1 - 4) + 0*a - a + 2*a + 2*a + 2 - 2.\nAnswer: -5*a + 831","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 8:37 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 20, 5*s - l - 4*l = 10. Let m be (-2)\/13 - (-3 - 6\/39). Is m + 17 + s + 1 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3. Let g(s) = -3*s**3 + s. Let c(t) = -g(t) + n(t). Give c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 5, 3, 4, -47, 84 in decreasing order.\nAnswer: 84, 5, 4, 3, 0, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -4, -2, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -1. Let t(h) = -h + 2*h**2 - 6*h**2 + 3*h**2 - h**3 + v. Suppose -z = -a + 7, -5*z - 3*a + 3 = -2. Calculate t(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 58?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -31\/918, 1\/2?\nAnswer: -31\/918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*p**4 - 209*p**3 + 209*p**3 + (3*p**2 + 3*p**2 - 4*p**2)*(-4*p**2 + p**2 + p**2).\nAnswer: 78*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b. Calculate v(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 14*l**3 - 2*l**2 - 5*l + 5. Let k be u(1). What is the highest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(24)\/sqrt(3))\/((sqrt(48) + sqrt(48)*3)\/sqrt(12)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -277 + 277. What is the nearest to m in 2, -7, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/(y*(y*y**(2\/7)*y*y)\/y))*(y*y**(-22)\/y*y)\/y)\/((y\/((y\/y**(-5))\/y))\/((y**(1\/14)*y)\/y)) assuming y is positive.\nAnswer: y**(-219\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.4204ug in milligrams?\nAnswer: 0.0394204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -1 (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/70)\/((-2)\/(-20)). Suppose 5*c = -3*f + f + 3511, 12 = -i*c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 16.2, -0.1, -0.2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20788 times -0.09366\nAnswer: -1947.00408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 17 - 73. Let c be ((-96)\/(-30))\/(o\/(-50)). Calculate the highest common divisor of 320 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1584*y + 1508*y = -380. Solve -y*d = -2*i + 3, -5*i = 3*d - 5*d - 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/12*(8\/12)\/(-1). Is f less than 1\/983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10.5 and 13.12.\nAnswer: 23.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-2))\/(6\/(-12)). Let d(v) = 9*v**2 - v**s + 4 - 5. Determine d(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -14198?\nAnswer: -14198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 228251.3 hours to milliseconds.\nAnswer: 821704680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.59 + -0.09. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208383, 416851, 625341, 833865, 1042435?\nAnswer: 1251063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**5\/20 - c**4\/6 + 11*c**3\/6 + 5*c**2\/2 - 11*c + 1. Let x(v) be the first derivative of i(v). Is x(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 0*h - 1 - 3*h + h + 2*h**2 - 4*h. Let w be g(3). What is the third biggest value in 0.2, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4873 - 2068. What is the highest common factor of s and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5\/4 (b) 480302 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -y + 16, 3*a + 5*y = -2*a + 30. Let v = -15 + a. Let m = 8 - v. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose -2*v + 4*v = 5*r + 39, -v + 17 = -j*r. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Suppose 0 = f - 2. Let a = f - b. Solve -5*j = -k + 10, -2*k - 5*j - 24 = a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151020 divided by -3\nAnswer: 50340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 5, t: 10, a: 1}. What is prob of picking 2 t and 1 v?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*v**2 - 127 + 60 + 67 - 2*v.\nAnswer: 149*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let o = -7 + 7.3. Let f = o - p. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 15, -6265, 3, -2, 0 in ascending order.\nAnswer: -6265, -8, -2, 0, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19122.001859 - -19122. Round u to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1191363296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)\/o)**(-1\/4))**19*(o**0)**15\/(o*o*o**(3\/8)*o*o**8*o*o) assuming o is positive.\nAnswer: o**(-269\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 918435, 1836829, 2755223, 3673617?\n\"Answer: 918394*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 492 + -19189\/39. Which is greater: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6609 - 6619 + 4*z**2 - 3*z + z**3 - z**2. Calculate l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 10*s = 6. Suppose 0 = -3*g + 6, -s*h + 0 = -g + 14. Let m = 0 - h. Solve 4*j = -m*o - 16, -5*j + 4 = -o - 3*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n + n**2 - 18*n - 4 + 29*n. Suppose 26 = -4*t + 2. Give i(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 2:44 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 4520\/(-2412) + 0. Let y = 1\/67 - k. What is the smallest value in 0.5, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1277, 4469 in decreasing order.\nAnswer: 4469, -2, -3, -1277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 10 in ascending order.\nAnswer: -3, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q - 5*o, 2*o - 5 = 3*q - 2*q. Suppose -d - t - 2 = -0*t, -t = -q. Which is the closest to 0.2? (a) d (b) 1\/8 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, a: 4}. Give prob of sequence al.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 2 = -d, d - 2 = 0. Suppose l = -2*q + 5*q - 6. Solve -10 = -w + z, 0 = 3*w - 0*w + q*z - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 140*t**2 + 472. Let p = -406 - -411. Let j(x) = -71*x**2 - 236. Let v(o) = p*j(o) + 3*y(o). Differentiate v(n) with respect to n.\nAnswer: 130*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -696.\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miiqhcbimibb. Give prob of sequence imh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 9:42 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 8, 48, 114?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1769127 millilitres?\nAnswer: 0.0001769127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-245))\/((-14)\/1274)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252617 is divided by 743?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 248*l**3 + 36*l**2 + 112 - 129*l**3 - 30*l - 121*l**3 - 90*l.\nAnswer: -2*(l - 14)*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -3\/8, 2746, -1\/2, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 1954?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20\/2*(-3 - -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 6:08 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4628449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2674, -2694, -2742, -2818, -2922?\n\"Answer: -14*z**2 + 22*z - 2682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 312441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1618207998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 9*u**2 + 0*u**4 - 1\/35*u**7 + 0*u**3 + 0*u**6 + 0 + 1\/60*u**5 + 0*u. Find the third derivative of f(n) wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1550, -1553, -1558, -1565, -1574, -1585?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 960 - 403. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1082*p**3 - 1 - 927*p**3 - 671*p - 4*p**2 + 671*p to a*p**3 + x + r*p + v*p**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 7*k**2 - k - 3. Let w be a(-7). Suppose -2*f = w, 5*o - 4*f + 7*f = -1. Let j = o + -4\/3. Are j and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 1, n: 9}. Give prob of sequence wp.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4 + 26. Let v = 27 - f. Suppose 40 = 3*a - 248. What is the highest common divisor of v and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -17. Let r(x) = 3*x - 1. Let t(q) = -1 + 8*q - 2*q + q - 3*q. Let w(z) = 5*r(z) - 4*t(z). Give w(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2023182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -816500 (base 13) to base 16\nAnswer: -2df944","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 650 and 7800?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -727*y**3 - 707*y**3 - 715*y**3 + 2774*y**3 + y - 613*y**3 - y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1358 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2 and -19\/1316.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737936512.\nAnswer: 2, 71, 81199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -26 + 7 + 11 + 6 + -26?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241656 (base 7) to base 14.\nAnswer: 11dd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-7)\/1 - (-4)\/2. Let k be g*(-1)\/(-3)*2\/(-3). Solve 4*w - k = -q - 3, -q + 4*w = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5 + 59686*r**4 + 445212782*r**3 - 1336175574*r**2 = 0 for r.\nAnswer: -14923, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20642 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387386243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32395 - 420817\/13. Which is smaller: u or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - h - 1. Let c be p(-3). Let x = c + -9. Suppose -6*d + 5*d + 2 = 0. Solve -d*z - 3*z + x = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -732658 less than or equal to -732827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 12. Let o be (-44 - 0)*(25\/p - -3). Which is smaller: -43\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**3 + 8*v**3 - 24697 + 9*v - 7*v + 2*v**2 - 5*v**3 + 24701. Suppose -l + 3*l = 6. What is h(l)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -41. Put 2\/3, r, 0, -1 in descending order.\nAnswer: r, 2\/3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(70) + -5*(sqrt(70) + sqrt(70)*-1) - sqrt(70))\/sqrt(10) + 3) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011 (base 3) to base 8.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 16\/7, -1.65, -4, 0.009?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04 and 2.29319049.\nAnswer: 2.33319049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + u - 3 - 4, 31 = 5*h + 3*u. Let o = 6 - 3. Suppose -3*c + 15 = o*x - 12, 2*x + 3 = 5*c. Solve h*r + x = -t, 28 = 5*t - 2*r - 2*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3455, 8\/11, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllll. Give prob of sequence lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 less than -4281493.3?\nAnswer: -4281404.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20946*m**4 - m**3 + 3*m**2 - 342 wrt m?\nAnswer: 502704*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55965 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + -11410214?\nAnswer: -11410114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.10396 - -0.00396. Which is the nearest to u? (a) -4 (b) -18 (c) -0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1367 + -1368.051. Let t = -1 - q. Let v = t - 1.051. Put 1\/3, v, -2 in ascending order.\nAnswer: -2, v, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5625617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/3640 and -103\/2340.\nAnswer: 32760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067410272 to three decimal places.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 132\/145200*220*28\/(-3)\nAnswer: -28\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/15 (b) 2\/7 (c) -2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -42, 1\/9, -3, -37, -12?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79 - -26 - -45) + (1 - 10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 3:12 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/7)*j*j\/(j*j**1\/j)*j**10\/(j**(-1\/2)*j) assuming j is positive.\nAnswer: j**(135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/7783716 and -71\/448.\nAnswer: 871776192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 2*a**3\/3 + 7*a**2\/2 - 173*a. Calculate o(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16512 and 12.\nAnswer: 1.98144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from afbbkkaaakktfa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1*15\/(-2). Let u(c) = -c - 3. Let s be u(12). Let d be (-24)\/i*s\/(-6). Solve 3 = t + k + 9, -3*t + d*k = 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1858 - 55687\/30. Let a = w - -7\/5. What is the common denominator of ((-2)\/(-8))\/(20\/25) and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 20106.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 4*h. Let m be u(-3). Let l be (2 + m\/1)*-3. Suppose -l*n + 2 = -4*x, -2*n + 14 = 3*n - 4*x. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-10)*6\/(-18)*3*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -46\/105*v**7 + 0*v**5 + 13\/3*v**3 + 0*v**4 + 0*v**6 - 5*v + 5*v**2 + 0. Differentiate f(b) with respect to b.\nAnswer: -368*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 369 + (4 - (4 + 1)). Let i be k\/64 + (-6)\/8. Suppose -2*j - 36 = -i*j. Calculate the remainder when 20 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*t - 100 + 84 = 0, 5*c - 3*t = 33 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 11 = 4*l, -3*t = -3*l - 7*t + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1520, 6045, 13586, 24143?\n\"Answer: 1508*z**2 + z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/((-5805)\/(-300)))\/((-40)\/(-18) + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)\/a)**39*(a**(-1\/2))**50)\/((a**7*(a\/(a\/a**3))\/a)\/(a**(1\/2)\/a)**(-1\/15)) assuming a is positive.\nAnswer: a**(-1019\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-24) - (-50)\/3. Suppose 3*d = c + 17. Let v = d + -8. Solve t + v = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1729 - 694. Suppose 3*c - 3*p - 753 - y = 0, -4*p - 2982 = -5*c. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**2*c**3 + 184*a**2*c - 466709*a*c**3 - 75*c**2 - 36*c wrt c.\nAnswer: 30*a**2 - 2800254*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 8*c + 1600. Let h(o) = -o**2. Calculate x(h(d)).\nAnswer: -8*d**2 + 1600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41, -57, -47, -17, 27, 79?\n\"Answer: -p**3 + 19*p**2 - 66*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 + -0.3?\nAnswer: 334.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326936209 to the nearest integer?\nAnswer: 18081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)\/(490\/455). Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131333322 (base 4) in base 3?\nAnswer: -20020112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 divided by -18718.\nAnswer: -31\/9359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1898 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1985385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5311, -8, -1, 1, 2, 20 in decreasing order.\nAnswer: 20, 2, 1, -1, -8, -5311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 852491515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*k = 2, 5*k - 52 = -72 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1313486.\nAnswer: -3\/1313486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -228*i**3 - i + 6. Let y(x) = 685*x**3 + 3*x - 17. Determine 17*o(b) + 6*y(b).\nAnswer: 234*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 + 2.276986. Round h to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 7*k**6\/30 + 41*k**5\/10 + 29*k**4\/3 - 20*k**3\/3 + 32*k. Determine z, given that l(z) = 0.\nAnswer: -10, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 5) to base 9\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 8) to base 5.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 34. Let b be y(-17). What is the highest common factor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -21*l**2 + 2*l - 1. Let s be m(1). Calculate the remainder when (s - -1)*8\/(-8) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j. Let c = 1\/11 - -9\/22. Let z(k) be the first derivative of c*k**2 + 0*k - 1. Give z(u(i)).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 195, 324, 503, 750, 1083?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17114.74075 and 3.\nAnswer: -17111.74075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7981415*p**3 + p. Let j be l(-1). Suppose -5*b - 3018586 = j. What is b rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 4239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 19*n - 236. Let f be n\/45 + 15\/(-100). Sort -4, f, -1\/9 in descending order.\nAnswer: f, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 divided by 2?\nAnswer: -253\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44975.\nAnswer: 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -379\/5 + 76. Let o = 0.5623 + -4.5623. What is the nearest to 1 in d, -2\/5, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2735*l = -2614*l - 3630 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 14*c**2 + 18*c + 29. Let x be d(13). Suppose 89*t = x*t. Solve l - 3*a + 12 = -t*a, 0 = -l - 2*a + 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -130 and -368?\nAnswer: 47840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 33*m - 850. Calculate the lowest common multiple of t(-54) and 6.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.7 + 35. Let u = 6 - 5. What is the second biggest value in u, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*s + 35*s + 214 - 2*s + 13.\nAnswer: -2*s + 227","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 15. Let j = 22 - w. Suppose 0*a + 2*a = 2, 0 = -4*k - a + 33. Solve z + j = 2*f, 2*z + f = z + k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9421428 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 210*z**2 - 2*z + 3. Let u = 46 - 45. List the prime factors of t(u).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6223084 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7992285\/(-35910))\/(-739) - (2\/45)\/((-5)\/(-25)).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5928 and 108896619.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 9. Let i(k) = -2*k + 4. Let p(c) = 4*h(c) + 9*i(c). Suppose -119 = -12*z + 5*z. Let y(s) = 17 - s - z. Calculate y(p(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from bbbbbbbzzbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174243 + 31712129\/182. Let q = 1\/26 - y. What is the second smallest value in q, 1\/2, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 10*b**2 + 10*b - 11. Let l be o(-11). Let w(u) = 2*u - 5. Let k be w(l). Let q be 2\/(k\/(60\/(-8))). Solve c + 4 = -q*h - 2, 4*h = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:37 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, a: 4, x: 7}. What is prob of sequence xas?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76358 = -3434*y + 1175*y + 75429 - 16247 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7641418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 56 = 2*g - 2*x, 3*g - 8*g + 129 = 3*x for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/3)\/7 + 60\/(-30)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 3*t + 2. Let i(k) = 6*k**2 + 7*k - 5. Let o(q) = -7*c(q) - 3*i(q). Let u be o(-1). Suppose u*v - 197 = 23. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 29. Suppose t - 27 - 46 = -y, -5*t - 195 = -w*y. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c*c**(2\/7))))*c)**(4\/33)*c**(2\/5)*c**(1\/5))\/((c\/(c\/(c*c**2))*c**(-3\/5))\/(((c*c**(2\/5)*c)\/c)\/c)**19) assuming c is positive.\nAnswer: c**(6799\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(-3\/25)\/(((c**2\/c*c)\/c)\/c*c**(-2\/31)) assuming c is positive.\nAnswer: c**(-12\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 2*v**7\/21 + 18*v**6\/5 + 138*v**5\/5 - 586*v**4\/3 + 430*v**3 - 450*v**2 + 6*v - 2. Factor h(l).\nAnswer: 4*(l - 1)**3*(l + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 5 - 2 - 2. Let t be v(-2). Solve -4*z**3 - z**t + 6*z**3 - 2*z**2 + z = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -174, -2, 280, 672, 1174, 1786, 2508?\n\"Answer: 55*g**2 + 7*g - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:34 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 561.\nAnswer: 58905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23\/15 + -5\/3. What is the fourth biggest value in 1\/5, -4, x, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4762602358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**4 - 70*q**3 - 320*q**2 - 570*q - 315 = 0. Calculate q.\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 656933919 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**2 + 146*o**3 - 925*o**3 + 17*o**2.\nAnswer: -779*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2134 - -2137. Let y = -3 + 5. Solve 1 = y*f - x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 - -11)*3\/1 is divided by (0 - 1) + 16 + 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + (6 - -14 - 26 - 12) + 3.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.062679974 and -588?\nAnswer: 588.062679974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/65)\/((-6)\/(-10))*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521177827 to the power of 1\/2, to the nearest integer?\nAnswer: 50211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-828)\/(-412) - 2). Let j = -252 + 432. Let t = j + w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 105 = -31*u. What is the smallest value in -0.055, u, 2, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 248*n + 46622. Give q(-188).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 2:16 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6 - (-9 + 11))*(-4734)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3886 > -110506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18911 = 5*l - 3*l + 3*h, 37798 = 4*l - 2*h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1005\/450)*12\/(-21)*-39?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/2)\/(160\/(-192)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 29. Let x(v) = -5*v + 4. Let f = -3 - 1. Let p be x(f). Calculate the highest common factor of k and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tnsn when four letters picked without replacement from sgrnntngggnn.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 4*f - 788. What is v(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**3 - 32*q**2 - 12*q - 13. Let x(p) = 8*p**3 - 37*p**2 - 13*p - 14. Let r(f) = -7*s(f) + 6*x(f). Give r(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -119, -226, -333, -440, -547, -654?\n\"Answer: -107*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558139 is divided by 4994?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3887346, -7774693, -11662040, -15549387?\nAnswer: -19436734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 11 - (-6 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (-10 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002461 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + -3 + 4)**2 + (6*(sqrt(1900) + 2))**2)*-1*6.\nAnswer: -422670 - 8760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*a**3 + 25838338*a**2 + 51676670*a\/9 + 2870926\/9.\nAnswer: 2*(a + 1435463)*(9*a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 391\/187*(-4)\/(-6)*(-330)\/(-120)?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4829\/4, 4, -40, -2?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2148258 and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.6 + 12. Let v = -10.5 - -2.5. What is the closest to -1\/3 in -4, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 76225 and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 4*i**3 - 6*i**3 + 8*i**3 + 1 to the form c*i + j*i**2 + l + p*i**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*v + 3*i - 523 - 8 = 0, -v + 49*i = 51*i + 6 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from aakngkakkggkkkgg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-29)\/(-4))\/((-3)\/(-108)). What is the highest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 24085, 0.024, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-1 + -2 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 5*t**2 + 18*t - 3. Suppose -12*r + 12 = -3*x - 8*r, -66 = -12*x - 3*r. What is m(x)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 + 3*q**3 + 2*q - q**4 - q**2 + 0*q**2 as c + n*q**2 + f*q**4 + r*q**3 + s*q and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6495787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**2\/2 + 5*z + 1. Let t be m(0). Suppose -28 - 42 = -t*j. Calculate the remainder when j is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - g = -13 - 3, 5*k - 20 = 5*g. Solve k*j - 8*j + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6370, -6465, -6714, -7195, -7986, -9165, -10810?\n\"Answer: -13*a**3 + a**2 - 7*a - 6351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 39\/9)*-264. Let g = y + -332. Solve -i + 5 = -5*h - 1, -5*i = g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 34, 53, 70, 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 1. Let z be s(1). Let b(n) = n + 5. Let h be b(-10). Sort 4, z, h.\nAnswer: h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, v: 3}. What is prob of picking 2 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**7))*(u**(1\/2)\/u)\/u)\/(u**(-5)\/u**(2\/35)))**30 assuming u is positive.\nAnswer: u**(2427\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 188, 195, 216, 257, 324, 423?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 - 19*u**2 + 12*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/49 + -4 + 96\/21. Which is smaller: 1\/22 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 = 13, 2*q - 5 = -z. Is 11 a factor of (12 - q - -1)\/((-3)\/(-66))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29820, 59642, 89426, 119154, 148808, 178370, 207822?\nAnswer: 237146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, -1\/2, -2 in increasing order.\nAnswer: -2, -1\/2, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 4*i + 2. Let r(s) = -2*s**2 - 9*s - 5. Let a(x) = 2*r(x) + 5*y(x). Let q be a(-5). Let n = 21 - q. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1422.5859834 to the nearest ten.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -6*d + 4*d. Let g = d - 133\/3. Sort g, 0.3, 2\/21.\nAnswer: 2\/21, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**3 + 2954*s**2 + 19366*s + 3015. Determine n(745).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105777.\nAnswer: 3, 7, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-63)\/(-12))\/(12\/336). Calculate the greatest common factor of y and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) -0.5 (c) 437 (d) -3 (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*c - 64*c**2 - 23*c)*(4*c - 3*c - 2*c)*(1 - 1 - 13*c)*(7 - 18 + 3) in the form l*c**3 + j*c**2 + k + z*c + p*c**4 and give p.\nAnswer: 6656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6\/191 + 8720\/2101. Let r(v) = 62*v**2 - 2*v - 1. Let l be r(2). Find the common denominator of (2\/8)\/(3\/l) and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -10*k + 45 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:07 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 1 + 3. Let z be s\/(1 - (0 - -3)). Sort -3\/2, 0.1, z in decreasing order.\nAnswer: 0.1, z, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53257?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3*-3024\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -125*n**7\/147 + 5*n**6\/21 + 19*n**5\/7 + 3*n**4\/7 - 27*n**3\/7 - 27*n**2\/7 - 3*n. Factor w(m).\nAnswer: -2*(m - 1)**2*(5*m + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d**3 + 0 + 1\/21*d**7 + 25\/6*d**4 + 0*d + 207*d**2 + 5\/336*d**8 - 5\/8*d**6 + 1\/3*d**5. Suppose r(o) = 0. What is o?\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**5 - 60024*k**4\/7 + 256947*k**3\/7 - 248316*k**2\/7 + 51372*k\/7 = 0. What is k?\nAnswer: 0, 2\/7, 1, 3, 2854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/((sqrt(8) + sqrt(200))*-2 + sqrt(8) + sqrt(8)) + -5)**2.\nAnswer: sqrt(13) + 2513\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -29500*13\nAnswer: -383500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.156423 decades?\nAnswer: 258.77076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24266, 28728, 36164, 46574, 59958, 76316, 95648?\n\"Answer: 1487*l**2 + l + 22778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 5 + 6*f + 5*f - 13*f + 0 - 2*f**2. What are the prime factors of c(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 284056978*s**3 + 334017112*s**2 wrt s?\nAnswer: 1704341868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 236 - 131. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*x - 290, -6*x + 528 = -2*x - 3*v. Suppose 5*i - 50*i - x = 0. Which is the closest to -0.1? (a) i (b) 0.2 (c) 5\/4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23\/8 - 1077\/40. Let y = i - -30. Are y and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1052452*z**4 - 9*z**2 - 26512*z wrt z.\nAnswer: -25258848*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 3*w**4\/4 + 2*w + 8. Let v be a(2). Suppose 4*h - v = 6. What is the greatest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let r be (1\/20)\/((-4)\/(-60)*15). Let a(z) be the third derivative of 0*z + 0 + 0*z**3 + 0*z**4 + r*z**5 + 5*z**2. Determine a(l(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1)*(-8)\/(-6). Let m = 332 + -329. Solve k - p = 0, -k = -h - m*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-23 - -25)*(-1159)\/(-2). Let j = l - -258. Suppose -3*v + 1452 = 3*q, 2*v - 5*v + 4*q + j = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -450 + 178192?\nAnswer: 177742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14587917, -29175830, -43763743, -58351656?\n\"Answer: -14587913*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 466677235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/779 and 12\/2147.\nAnswer: 88027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 662, 5437, 18418, 43715, 85438, 147697?\n\"Answer: 685*i**3 - 7*i**2 + i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11410051 to the power of 1\/2, to the nearest integer?\nAnswer: 3378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(7 + (-510)\/72)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 74 = 2*u - j, 4*u - 102 = -3*j. What is the greatest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -14, 38, 108?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 2. Let p(c) = -1. Let l(y) = -82*y - 247. Let b be l(-3). What is b*v(d) - 2*p(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*-2*4\/16*2. Suppose 75 = f*x - 505. What is the remainder when x is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2 + 5*d**6 - 6*d**2 + 0*d**6 + 0*d**2 wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6580 - 0.35.\nAnswer: 6579.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3*i + i)*(2 - 1 + 1) + (6285 - 7*i - 6285)*(2 - 1 + 0).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 133*a - 1794. What is o(-15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 980402 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2798041+-171542\nAnswer: 2626499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from koknnnnkn. Give prob of sequence nnkn.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4 = 4*b, -3*z + 3 = 3*b - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2039 - 1122. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.75 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6106 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44954192 + -15.489.\nAnswer: 44954176.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v + 10. Let y be (3\/(-2))\/(2\/(-4)). What is the greatest common factor of v and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 - 2*u**2 + 1. Let s = -4 + 2. What is the units digit of g(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d**2 + 560*d + 156. Determine a(-70).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 1:36 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3396)\/8*12)\/((-2)\/7). Suppose 1043 = 8*z - i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 758.0568 + -26.\nAnswer: 732.0568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - t**2)*(-1257*t**2 - 2 + 138*t**2 - 104*t**2) as l*t + u + v*t**2 + i*t**4 + c*t**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3243.12 - -3243.14. Let p = 0.4 + -2.4. Which is the smallest value? (a) p (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 2, 164 in increasing order.\nAnswer: 2, 3, 6, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v + 16*v - 12 + 11*v + 7*v. Suppose f + 15 = 6*f. What are the prime factors of o(f)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 3 - 3)*(3*g**2 + 0*g + 0*g)*(3 + 3 - 5)*(1814 - 275 + 527) to the form s + d*g**2 + p*g + a*g**3 and give a.\nAnswer: 12396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4295708 and 41\/47768.\nAnswer: 60139912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.68 in -4\/5, -1\/4, 1, 1\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(720))**2 + 1 - (1*sqrt(720) + 1)**2)*3 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiaipypiyyywwpzz. What is prob of picking 1 p and 1 a?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73708866 a multiple of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 124 divided by 1\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63838856533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3 = 2*y, -4*k + 3*k + 6 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -230*b*d**3 + 1252211*b - 91687*d**3 + 2*d**2 - 365*d - 2 wrt b?\nAnswer: -230*d**3 + 1252211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 279664.91 to the nearest 10000.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (91066\/(-4))\/(32\/(-64)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 18 (b) 4 (c) -0.2 (d) -0.013 (e) -2\/5 (f) 0.1 (g) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656 = 2*f - 5974. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/3 - 1486*a\/3 + 1483 = 0 for a.\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 322\/92*(-290)\/35?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 15. Suppose d = t - 5*t + x - 34, 5*x = 3*t + 34. Let u be (t\/(-40))\/(6\/40). Which is the smallest value? (a) u (b) -0.02 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + a = -11, 0 = -4*h + 3*a - 18 + 26. Let l(v) = -v**3 + 8*v**2 - 11*v - 4. What is the lowest common multiple of 64 and l(h)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57796190*i**2*y**3 + 131*i**2 - i*y**2 + 110832*y**2 wrt y?\nAnswer: -346777140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*u + 401 - 294 = -1005. Suppose 3*c = -n + 6, 2*c = 2*n - n - 6. Solve u*y + n = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 + 2*q**2 - 3*q - 2. Let k(m) = -19*m**3 + 11*m**2 - 15*m - 11. Let d be (-80)\/24 - (-6)\/(-9) - (4 + -10). Calculate d*k(g) - 11*w(g).\nAnswer: 6*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15 + 5.15. Let s = 0.3 - 0.1. What is the third biggest value in s, 2\/13, t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 7:41 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 2. Let w be l(2). Suppose a - 3*j = 4*a - 24, w = a - 2*j - 8. Suppose n - a = 14. What is the remainder when n is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3229011 and 51?\nAnswer: 54893187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2. Let j(i) = -20279*i**2. Calculate r(j(x)).\nAnswer: 822475682*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, k: 2}. What is prob of sequence kk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r + 702. Let s be p(54). Suppose 0*y**4 + 0*y**3 + 1\/4*y**5 + 0 + s*y**2 + 0*y = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + g - 2*g, 3*g = 6*g. Solve 0 = 3*t + 6, u = 4*r - 0*t - 5*t + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5930958?\nAnswer: 2, 3, 11, 73, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -8. Suppose -v*o - 28 = -4*s + o, -5*s - 3*o + 35 = 0. Let k(j) = j**3 + 43*j**2 + 4*j + 185. What is the remainder when k(-43) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139054\/1261 != 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 272 = 4*v, -5*v + 7*n - 9*n + 373 = 0. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 4*c**2 + 2*c + 3. Let i be g(-4). Let l = 6 + i. Solve 3*q + l = 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1756.4 - 1756.9. Which is the closest to 4\/5? (a) 0.2 (b) -1 (c) v (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b8 + -7?\nAnswer: -3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3778*i + 2994*i - 1406*i - 299*i in the form l*i + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -1 (c) -306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01443347 to four dps.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 266*v - 23. What are the prime factors of h(3)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7337 less than 2288.59?\nAnswer: 9625.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hig when three letters picked without replacement from hlmigvg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5539158 (b) 1\/4 (c) -1 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 7. Suppose -5*m - 5 = 5*k, 1 = -3*m - 4*k + 2. Let a be t(m). Suppose -3*n + 74 = a*u + 23, -4*u = 5*n - 99. List the prime factors of u.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/15)\/(2*1\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 12820.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/279488 and -95\/69872?\nAnswer: 279488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.52148 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 28444842 to the power of 1\/2, to the nearest integer?\nAnswer: 5333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21128557 plus -123148.2?\nAnswer: 21005408.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 - f**3 + 3*f**2 + (-f**2 - f**2 + 5*f**2)*(1 + f - 1) + 17*f**3 + 424*f**2 - 424*f**2.\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*c + 137 = 5*d + 441*c, 6*d + 3*c - 63 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/4)\/((-2)\/(-4)). Suppose 4*z - 1 = 2*l + 3, o*l = 2*z - 2. Let f(u) = u**3 - 4*u**2 - 3*u - 7. Let r be f(5). Sort 2, r, l in descending order.\nAnswer: r, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7931597 and 0.4.\nAnswer: -1.11726388","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 52. Calculate the remainder when 115 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) 8.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 747998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34307, 34314, 34323, 34334, 34347?\n\"Answer: a**2 + 4*a + 34302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 15 - h + 6 + 6 to b*h + d and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 137176208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41146868 to the power of 1\/2, to the nearest integer?\nAnswer: 6415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -10) + -7 - (2 - (15 - -2))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.01 + 2.76. Let d = 1.25 - q. Let s = -0.2 + -0.8. Which is the closest to s? (a) 8 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4 + 187*n**2 + 264*n wrt n.\nAnswer: 12*n**2 + 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, 1, -100 in ascending order.\nAnswer: -100, -10, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 5\/2, 1\/78 in increasing order.\nAnswer: 1\/78, 3\/7, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**6\/120 + m**5\/15 - 5*m**4\/24 + 7*m**3\/6 - 7*m**2 + 23. Let v(q) be the second derivative of g(q). Determine v(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 + 1511*d + 97661. Give i(-295).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Suppose n*a - 71 = -3. What is the highest common factor of a and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:15 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2619 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bee when three letters picked without replacement from {b: 2, e: 9}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 87853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1360 + -745. Is f a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4 + 2. Suppose 0 = -b*u - u + 3. Is u less than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*d + 10, -30*d = -6*z - 25*d - 8. Solve -5*u + 6*u + 14 = -2*k, -z*k = 2*u + 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80407.\nAnswer: 80407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(m**3 - 4 + 4) - 2*m**3 + 4*m**3 - 4*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*j + 5 = -3*j, s = -3*j + 5. Let m be -8 - 2\/(s\/2). Calculate the remainder when (-96)\/m - (-10)\/25 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(1 - 427\/1). Let n = r + -904. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Suppose -p - 32 = -5*l, l - 4*l - 2*p = -14. Suppose t + 43 = v*z + l*t, -4*z = t - 46. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3473*y**2 + 7461*y wrt y.\nAnswer: 6946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0\/2 - -1). Solve -c = h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1624\/400 + -4)\/((-15)\/(-20)). What is the second biggest value in -0.7, 5\/2, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/378214 and -13\/16872.\nAnswer: 4538568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 580 + 3363. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w - 3*w + 5*w. Let m be (13\/6)\/(12\/72). Let d(t) = 11*t**2 + 0 - m*t**2 + 0. Determine q(d(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 25) + -4 + -12 + 19?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvbvb. What is prob of sequence bbv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 (base 4) in base 12?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzjq when four letters picked without replacement from {q: 1, z: 4, j: 3, p: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/2 - 0\/(-1). Solve 2*j + 4*c = -12, 0*j - 4*c - 36 = -f*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 8:11 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 70. What is the greatest common divisor of r and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -78. Suppose 4*b + 3*d = v, 4 = -4*b - d + 9. What is the highest common factor of b and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + 7*p**2 - 3*p**2)*(2*p + p - 5*p)*(-4 - 2*p + 4) - 4*p**4 - 2*p**4 + p**4 to j*p**4 + y*p**2 + n + o*p + i*p**3 and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(55) - -1*sqrt(1375) - sqrt(550)\/(sqrt(30)\/sqrt(3))))\/(1*sqrt(720) + -3*sqrt(10)\/sqrt(2) + sqrt(5)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - h + 4. Let q be l(0). Let n be 1\/(10\/q - 2). Calculate the greatest common factor of n and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474 and 857565777.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 24.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d - 18*d - 14*d)*(-24*d**3 + 38*d**3 + 43*d**3) to i*d + x + m*d**4 + q*d**3 + t*d**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65149518 to the nearest integer?\nAnswer: 8072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*12\/(-21)*581\/(-332)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (15 + -2 - 5). What are the prime factors of 68*(-3 + 5) - (v - 2)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**7\/42 + 13*y**4\/24 - 52*y**3\/3 + 3*y**2 + 8*y. What is the derivative of z(h) wrt h?\nAnswer: -20*h**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11780 and 4712?\nAnswer: 23560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 1 - 3 + 0*t**3)*(-3 - 1 - 1).\nAnswer: 5*t**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -857 + 647. Let b be (-40)\/(-14) + 1 + 180\/c. Solve 0 = b*p - 4*y - y - 17, -4*y = -4*p + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -1 + 2 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (3 + sqrt(1088))*4)*-2 - (4 + 2 + sqrt(1088) + (-1*sqrt(1088) + sqrt(1088))*5)*-4)**2.\nAnswer: -640*sqrt(17) + 17508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -2*o**7\/105 + o**5\/12 + o**2\/2 + 4*o. Let i(y) be the first derivative of q(y). What is the third derivative of i(v) wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from esgeb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/3))**(-2) assuming s is positive.\nAnswer: s**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 i when three letters picked without replacement from {h: 4, l: 4, i: 7, n: 3}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215379864?\nAnswer: 2, 3, 7, 181, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154126 and 13734?\nAnswer: 1387134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 1 - 2 - 2*t**3 + 2)*(2 + 0 - 1).\nAnswer: -2*t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22)\/4)\/(4\/(-32)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*i + 5, 3*o - 3*i + 4 = 10 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 12. Suppose 2*h = 8, 0 = -145*x + 144*x - 3*h + 5. What is t(x)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 8*q**2 + 9*q + 17. What is w(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.037 + 2.038. Let p = u + -0.175. Let a = -30.6 + p. What is a rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z\/z**(1\/4))\/(z**3\/(z\/(z\/(z*z**(1\/2)*z)))) assuming z is positive.\nAnswer: z**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.6511493 * 0.082\nAnswer: -0.0533942426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1648, -1925, -2204, -2485, -2768, -3053?\n\"Answer: -p**2 - 274*p - 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 42. Calculate the highest common divisor of 200 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 o, and 1 m when four letters picked without replacement from oeexmmooeoe?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.095 - 90.905. Let u = -117 + 25. Let k = f - u. Which is smaller: k or 53?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.7. Let w = -1595554 - -1595553.3000024. Let r = j - w. What is r rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 0 - 270249\/(-4158)?\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h + 821 - 807 = 0. Which is bigger: -8\/515 or h?\nAnswer: -8\/515","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) 4\/3 (b) 5 (c) 3\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*g + 26 + 51. What is the remainder when 107 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 2*a + 36*a**3 - a**2 + 2*a**2.\nAnswer: 36*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18170 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 6. Let l be j(9). Suppose 0 = 2*q + l*q. Suppose -4*g - 3*g = q. Solve g = -0*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -883\/15. Which is the nearest to -0.1? (a) g (b) 4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3958 (b) 1\/5 (c) -4 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let l be u(3). Suppose 0 = -2*j + 4, 3*q + 43 = -4*j + l*j. Find the common denominator of (q\/22)\/((-3)\/(-12)) and -10\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 6:59 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -11, -25, -43?\n\"Answer: -2*i**2 - 4*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 5*c - 166. What is j(12)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 2. Calculate the least common multiple of j(-3) and (-5)\/(-1)*(-30)\/(-75).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 58*o - 52. What is x(28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 12*n - 11. Let b be w(-13). Let o(k) = 9*k**2 + 17*k. Let c(u) = 44*u**2 + 84*u. Let z(x) = b*o(x) + 5*c(x). Solve z(a) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + b - 2)*(-3*b + 5*b - b) + b**2 + 3*b**2 - 3*b**2)*(-3 + 4 - 5).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 12*x**2 + 12*x + 30. Give p(11).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4*u + 4*s - 838, 0 = 5*u - 2*s - 1039. Suppose -9*p = -21*p + 36. Suppose 0 = -b + p*d + 60, -d = -3*b - b + u. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkdqqdkdqkdyq. Give prob of sequence qy.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.09, -14, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.3 - 8. Let t = -1 + 4. What is the biggest value in t, 4\/3, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5 - 57160*b**4 - 408293854*b**3 + 1634147272*b**2 + 408293856*b - 1634090112 = 0. What is b?\nAnswer: -14292, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-825)*((-123)\/1107)\/((-4)\/54)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 41, -13 in descending order.\nAnswer: 41, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33202 + -11?\nAnswer: -33213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**3*l*w - 10*b**3*l + 84289*b**3 - b**2*w - 2*b**2 + 4862*b*w - 1009*l wrt b?\nAnswer: 24*l*w - 60*l + 505734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 3280.\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 155*p + 955. Give l(-6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + l - 2*l = 25, -2*z + l + 13 = 0. Suppose -4*i + 39 = -0*y + 3*y, z*i = y + 19. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 6. Let p be g(-9). Suppose -3*o + t = -t - 248408, t = -p*o + 248396. Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(36\/(-6)*1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42768.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -170.23 times -3\nAnswer: 510.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckekkkxkfrk. What is prob of picking 1 r and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*2\/(-3 + -1). Suppose -5*p - 3*l = -93, o*p + 4*p = -l + 80. Calculate the highest common divisor of 105 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 2)*3\/6. Let z = m - -1. What is the units digit of (z*-1)\/(-2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511 = -366*j - 1933 - 11830 for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n**3 + 24*n**2 - 13*n**2 + 239 - 237 + 5*n**3 in the form f + w*n**3 + p*n + k*n**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21769 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -14*l - 70480. Let w = 6738 + l. Is w 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 4:32 AM and 1:24 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7)\/(-21) - -1)*312.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -41. Suppose -a + n + 3 = 2*n, y = 5*a - 2*n - 22. Suppose -h + 15 = 4*h. Solve -t + a = h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 734 = 2052. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31670 + -31663. Let n = 0.1 + -1.1. What is the closest to n in 0, 0.2, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 3*w**2 - 4*w + 2. Let m be b(4). Let s = m + 30. Solve s = d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -297 + 45*w - 46*w - 390 + 1 - 1 + w - 5*w + 2*w + w + (-6*w + 2*w + 3*w)*(1 + 2 - 1).\nAnswer: -4*w - 687","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.437 times 0.5?\nAnswer: -0.2185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 26*x - 79. Let r be 1\/6 + 4233\/306. What is the least common multiple of 5 and h(r)?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 13*m - 12*m - 16, 10 = -2*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(40))\/sqrt(8))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, s: 10, z: 1, e: 3}. Give prob of picking 1 z and 2 s.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-1))\/(5\/2). Let d be (v\/(-20))\/((-69)\/18 + 4). Let s = 1 - 0.6. What is the biggest value in s, d, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**3 - 2*t - 1. Let u be n(-1). Let w(y) = y**3 - 5*y**2 + 2*y + 5. What is w(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -22.7. Let q = i + 2. Let j be -7*(-12)\/42*9\/12. What is the second smallest value in q, -1, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98187580.\nAnswer: 2, 5, 17, 317, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3918156 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*p + 14 - 12*p + 28 wrt p.\nAnswer: -69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 33*q**2 - 46*q + 88. Let j be y(2). What is the greatest common divisor of 40 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53042 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from vkvvkvvkkvkvk.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -296.5 - -297.949. Round k to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -4287\nAnswer: -2143.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 1, b: 1, z: 1, t: 1, u: 2}. What is prob of sequence btz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/20)\/(-2*1\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 1, 2, -2 in increasing order.\nAnswer: -2, 1, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -13\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5383 + -5345. Let f = 11 - 2. Let s be 6\/f + 110\/6. What is the greatest common divisor of h and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04 or -6.68828?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 28*d + 45. Let a(v) = v + 1. Let u(i) = 4*a(i) - p(i). Let b be u(-22). Sort -2, -5, b, -4.\nAnswer: -5, -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 22527.8.\nAnswer: 22527.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573082.\nAnswer: 2, 286541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(484) - (sqrt(484) - -3*sqrt(484))) + sqrt(484) + sqrt(484))*5)\/(sqrt(176)*-6)*-6*-4.\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 23*x + 143*x**4 + 140*x**4 - 289*x**4 + 27*x**2. What is the derivative of v(q) wrt q?\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -176*f**3 + 996*f**2 + 4616*f - 25536 = 0. Calculate f.\nAnswer: -56\/11, 19\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/33 + 63\/33)*-15. Which is smaller: -26 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**2 - 19*n - 40. Let u(f) = f + 1. Let s be (8 + -7)*(-4 - (0 + -3)). Let k(h) = s*o(h) - 6*u(h). What is the units digit of k(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w + 17 = 0. Suppose 0*r + 5*r = -5*y + 45, -r + 21 = 5*y. Calculate the remainder when w is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178 or 9\/316?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 1\/2, 4\/7, 151, 4.43, 4?\nAnswer: 4.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*u + 25 = 0, 0 = -3*u - 2 - 1. Suppose -6720 = -80*c + 10*c. What is the lowest common multiple of o and c?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 14*m**3 - 9*m**3 + 2*m.\nAnswer: -23*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (0 - 4 - 1). Suppose -3*c + 12 = -3*v, 0 = c + y*c - 3*v - 11. Is -3\/2 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8837 + 8841 = 66*s + 27*s + 17678 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56007 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -87, -186, -297, -426, -579, -762, -981, -1242?\n\"Answer: -o**3 - 92*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 20, 7*m - 5*m - s - 4459 = 0. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -433 - -433. Solve 0 = -s + 2*s + 3*a - 19, -5*s - 2*a + 30 = b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 273616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/3*912\/(-760).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/50 + (-2571)\/(-15) + 0. Suppose k - 860 = x. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3171 = -3*x + 7*t, 4*x - 4254 = -2*t. What is the least common multiple of 944 and x?\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.068 and -7?\nAnswer: -7.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3239403209 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1700) - (2*sqrt(1700) + -3) - (3 + sqrt(1700) + -1)) + sqrt(34)\/(-3*sqrt(2)) + 1*(sqrt(17) + 2))*-1)**2.\nAnswer: -1044*sqrt(17) + 57269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -20. Let u = -54011075.9999995 - -54011057. Let r = u + b. What is r rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -480*r**2 - 1631*r**2 + 458*r**2 to the form l + v*r**2 + j*r and give v.\nAnswer: -1653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 14747 = 10107. Is a a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 21)*(-3)\/2. Let x be (-1)\/4 - 21\/q. Let u = 58\/5 + -62\/5. Which is the second biggest value? (a) u (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28116681 from -985.8.\nAnswer: 28115695.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75930, 76200, 76928, 78342, 80670?\nAnswer: 84140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}